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

start0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated

analyze1.3s (8.4%)

Memory

24.3MiB live, 1 734.0MiB allocated

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)

sample4.2s (26.2%)

Memory

49.6MiB live, 5 139.1MiB allocated

Samples

3.5s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 3.2s

ival-mult: 545.0ms (17.2% of total)

ival-div: 463.0ms (14.6% of total)

ival-tan: 384.0ms (12.1% of total)

const: 384.0ms (12.1% of total)

ival-cos: 319.0ms (10.1% of total)

ival-sin: 307.0ms (9.7% of total)

ival-<=: 289.0ms (9.1% of total)

ival-add: 132.0ms (4.2% of total)

ival-atan: 114.0ms (3.6% of total)

ival-sub: 73.0ms (2.3% of total)

ival-sqrt: 69.0ms (2.2% of total)

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

ival-pi: 32.0ms (1% of total)

exact: 12.0ms (0.4% of total)

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

Bogosity

explain471.0ms (2.9%)

Memory

7.8MiB live, 923.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
196	2	(0.019313925877213478 0.0007052047876641154 0.24504214525222778 0.0013204485876485705)	5	(7.228983349705231e-7 0.002150618238374591 0.0002193818800151348 0.2376616895198822)	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
189	3	(0.07129055261611938 0.014097359962761402 0.00021244441450107843 0.0014908600132912397)	4	(1.8327552808727887e-9 0.010873266495764256 0.000219527049921453 0.0009322611149400473)	`(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
`tan.f32`	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`	cancellation	193	11
`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	188	14

Confusion

	Predicted +	Predicted -
+	0	0
-	211	45

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	211	11	34

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	45
1	41
2	170

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

148.0ms

512×

valid

Compiler

Compiled 2 564 to 132 computations (94.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

ival-mult: 27.0ms (23.2% of total)

ival-div: 18.0ms (15.4% of total)

ival-tan: 18.0ms (15.4% of total)

ival-cos: 15.0ms (12.9% of total)

ival-sin: 14.0ms (12% of total)

ival-atan: 10.0ms (8.6% of total)

ival-add: 6.0ms (5.1% of total)

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

ival-pi: 2.0ms (1.7% of total)

ival-sub: 2.0ms (1.7% of total)

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

exact: 1.0ms (0.9% of total)

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

preprocess176.0ms (1.1%)

Memory

0.0MiB live, 195.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	1260
1	491	1222
2	1013	1108
3	3236	1108
4	6267	1108
0	32	88
0	57	88
1	89	86
2	127	78
3	176	78
4	270	78
5	720	78
6	2225	78
7	4183	78
8	6168	78
0	8044	73

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)) (fma.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 alphay alphay)) (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 (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)))) (*.f32 alphax 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))))))) #s(literal -1 binary32))))

Compiler

Compiled 88 to 32 computations (63.6% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

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)

simplify138.0ms (0.9%)

Memory

11.6MiB live, 174.4MiB allocated

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	64	(+.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)))
cost-diff	160	(.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	224	(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	824
0	57	824
1	89	814
2	127	730
3	176	730
4	270	730
5	720	730
6	2225	730
7	4183	730
8	6168	730
0	8044	681

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)) (fma.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 alphay alphay)) (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 (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)))) (.f32 alphax 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))))))) #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)) (fma.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 alphay alphay)) (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 (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)))) (.f32 alphax 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))))))) #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)) (fma.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 alphay alphay)) (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 (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)))) (.f32 alphax 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))))))) #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)) (fma.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 alphay alphay)) (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 (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)))) (.f32 alphax 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)))))))
(.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 (fma.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 alphay alphay)) (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 (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)))) (.f32 alphax 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)))))))
(/.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) (fma.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 alphay alphay)) (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 (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)))) (.f32 alphax 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)))))))
(+.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)))
(fma.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 alphay alphay)) (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 (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)))) (.f32 alphax 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))))))
(/.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)))) (.f32 alphax 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)))))
(.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)))) (.f32 alphay alphay)) (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 (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)

localize95.0ms (0.6%)

Memory

9.2MiB live, 169.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.36328125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)
accuracy	0.5546875	(.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	12.499172931898393	(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
accuracy	13.026556361298674	(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

74.0ms

256×

valid

Compiler

Compiled 1 650 to 66 computations (96% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 15.0ms (25.1% of total)

ival-div: 13.0ms (21.7% of total)

ival-tan: 8.0ms (13.4% of total)

ival-sin: 7.0ms (11.7% of total)

ival-cos: 7.0ms (11.7% of total)

ival-add: 3.0ms (5% of total)

ival-atan: 3.0ms (5% of total)

ival-sqrt: 2.0ms (3.3% of total)

ival-pi: 1.0ms (1.7% of total)

ival-sub: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series155.0ms (1%)

Memory

-4.0MiB live, 271.6MiB allocated

Counts

8 → 57

Calls

Call 1

Inputs
(+.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 (/.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) (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
24.0ms	alphay	@	inf	((+ (* (* 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) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (/ 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))
17.0ms	u1	@	-inf	((+ (* (* 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) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (/ 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))
16.0ms	alphax	@	inf	((+ (* (* 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) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (/ 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))
13.0ms	alphay	@	-inf	((+ (* (* 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) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (/ 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))
12.0ms	u1	@	0	((+ (* (* 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) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (/ 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))

simplify191.0ms (1.2%)

Memory

-4.9MiB live, 275.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	523	15296
1	1747	12736
0	8114	11871

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

rewrite193.0ms (1.2%)

Memory

26.8MiB live, 263.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	315
0	57	210
1	228	193
2	2076	193
0	8656	183

Stop Event

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

Counts

8 → 295

Calls

Call 1

Inputs
(+.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 (/.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) (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
(.f32 (-.f32 (pow.f32 (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 2 binary32)) (.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) (PI.f32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 u1 #s(literal 2 binary32)) (PI.f32) (*.f32 #s(literal -1/2 binary32) (PI.f32)))))
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(.f32 (+.f32 (tan.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))))))
(.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (cos.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (tan.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))))))
(/.f32 (neg.f32 (neg.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))))) (neg.f32 (neg.f32 (cos.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))))))
(/.f32 (neg.f32 (+.f32 (tan.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))))) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))))))
(/.f32 (neg.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))))) (neg.f32 (cos.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))))) (+.f32 (tan.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (cos.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))))))
(/.f32 (+.f32 (tan.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
(/.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (cos.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))))) (+.f32 (tan.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (cos.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))))))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))))) (+.f32 (tan.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (cos.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))))) #s(literal -1 binary32))
(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (exp.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)))))) (exp.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)))))))
(.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 binary32)) #s(literal 1/2 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)))) (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) (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 (fma.f32 (pow.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 3 binary32)) #s(literal 1/8 binary32) #s(literal 1/8 binary32)) (+.f32 (pow.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 2 binary32)) (-.f32 #s(literal 1/4 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 (neg.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)))) #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (+.f32 (pow.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 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1/4 binary32) (pow.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 2 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 (neg.f32 (+.f32 #s(literal 1/8 binary32) (.f32 (pow.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 3 binary32)) #s(literal 1/8 binary32)))) (neg.f32 (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.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 2 binary32)) (.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)))))))
(/.f32 (neg.f32 (neg.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 binary32)))) #s(literal 2 binary32))
(/.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)))) #s(literal 1 binary32)) (sqrt.f32 (+.f32 (pow.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 binary32))))
(/.f32 (-.f32 #s(literal 1/4 binary32) (pow.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 2 binary32))) (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 (+.f32 #s(literal 1/8 binary32) (.f32 (pow.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 3 binary32)) #s(literal 1/8 binary32))) (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.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 2 binary32)) (.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))))))
(/.f32 (neg.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))))) (neg.f32 (sqrt.f32 (+.f32 (pow.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 binary32)))))
(/.f32 (neg.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 binary32))) #s(literal -2 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 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 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 (pow.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 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 binary32)) #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)))) (sqrt.f32 (+.f32 (pow.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 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 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 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (pow.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 binary32)))
(-.f32 (/.f32 #s(literal 1/4 binary32) (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 (pow.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 2 binary32)) (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))))
(fma.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))
(fma.f32 #s(literal 1/2 binary32) (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))
(pow.f32 (exp.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))
(pow.f32 (/.f32 #s(literal 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 binary32))) #s(literal -1 binary32))
(pow.f32 (sqrt.f32 (+.f32 (pow.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 binary32))) #s(literal -2 binary32))
(pow.f32 (+.f32 (pow.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 binary32)) #s(literal -1 binary32))
(pow.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)) #s(literal 1 binary32))
(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 1/2 binary32)) #s(literal 1/2 binary32))
(+.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)))
(.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)))

eval124.0ms (0.8%)

Memory: -6.3MiB live, 223.7MiB allocated
Compiler: Compiled 62 542 to 5 534 computations (91.2% saved)

prune55.0ms (0.3%)

Memory

0.1MiB live, 89.5MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	551	13	564
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	551	14	565

Accuracy

99.9%

Counts

565 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	90.4%	(pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 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)))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
▶	88.8%	(/.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 (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)))) #s(literal 1 binary32))))
	56.7%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (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)))) alphay) (/.f32 #s(literal 1/2 binary32) alphay) (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 #s(literal 1 binary32) u0)))))
	63.6%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.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)) alphay (.f32 (.f32 alphax alphax) (/.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)) alphay))) (.f32 (*.f32 alphax alphax) alphay))) u0) (-.f32 #s(literal 1 binary32) u0)))))
	87.9%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.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)) alphay) (.f32 alphax alphax) (.f32 alphay (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 alphay (*.f32 alphax alphax)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
	94.2%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fma.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 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)))))
▶	94.0%	(/.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 (pow.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 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)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
	96.9%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (pow.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 binary32)))) (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)))))
✓	99.4%	(/.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)))))
	98.2%	(/.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 #s(approx (+ ( (* 2 (PI)) u1) (* 1/2 (PI))) (.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
▶	98.0%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(approx ( (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (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 (.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)))))
	98.0%	(/.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)))))
▶	98.4%	#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) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) 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)))))
▶	92.7%	#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(literal 1 binary32))

Compiler

Compiled 2 260 to 1 054 computations (53.4% saved)

simplify189.0ms (1.2%)

Memory

-4.8MiB live, 188.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 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 #s(approx ( (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (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 (.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	160	(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(approx ( (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (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 (.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	224	(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
cost-diff	7552	(/.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	160	(fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))
cost-diff	160	(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.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 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)))) u0)
cost-diff	224	(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
cost-diff	7552	(/.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 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 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)))) #s(literal 1 binary32))
cost-diff	0	(sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 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)))) #s(literal 1 binary32)))
cost-diff	0	(/.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 (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)))) #s(literal 1 binary32))))
cost-diff	160	(fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 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 (/.f32 u0 (-.f32 #s(literal 1 binary32) 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))
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) 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)))
cost-diff	0	(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) 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))))
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) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) 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)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	3093
0	178	2693
1	272	2505
2	397	2505
3	689	2505
4	1784	2505
5	4507	2505
0	8129	2497

Stop Event

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

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

localize418.0ms (2.6%)

Memory

1.5MiB live, 312.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	12.352905880613996	(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
accuracy	12.499172931898393	(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
accuracy	13.026556361298674	(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	27.971445910309722	(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
accuracy	0.45150375976844204	(pow.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))
accuracy	12.499172931898393	(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))))
accuracy	12.499172931898393	(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
accuracy	26.477762849761895	(fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))
accuracy	0.577167529305326	(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	12.499172931898393	(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))))
accuracy	13.026556361298674	(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))))
accuracy	26.477762849761895	(fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))
accuracy	2.343510103554603	#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	0.5546875	(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	12.352905880613996	(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
accuracy	13.026556361298674	(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	26.179822079631304	(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))

Samples

278.0ms

256×

valid

Compiler

Compiled 5 991 to 190 computations (96.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 244.0ms

ival-sin: 57.0ms (23.4% of total)

ival-div: 49.0ms (20.1% of total)

ival-mult: 38.0ms (15.6% of total)

ival-tan: 24.0ms (9.8% of total)

ival-cos: 20.0ms (8.2% of total)

ival-add: 12.0ms (4.9% of total)

ival-pow2: 11.0ms (4.5% of total)

ival-cosu: 9.0ms (3.7% of total)

ival-sinu: 9.0ms (3.7% of total)

ival-atan: 7.0ms (2.9% of total)

ival-sqrt: 6.0ms (2.5% of total)

ival-pi: 1.0ms (0.4% of total)

ival-sub: 1.0ms (0.4% of total)

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

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

exact: 0.0ms (0% of total)

series534.0ms (3.3%)

Memory

25.3MiB live, 368.3MiB allocated

Counts

23 → 207

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))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) 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)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) 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))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) 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)))
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) 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 (/ 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))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))
(/.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 (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)))) #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 (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)))) #s(literal 1 binary32)))
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 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)))) #s(literal 1 binary32))
(/.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 #s(literal 1 binary32) (+.f32 (pow.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 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)))) u0)
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(approx ( (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (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 (.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 #s(approx ( (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (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 (.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)))))
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 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))
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(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
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Outputs
1
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(+ 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)))))))))))
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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))))))
(* (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))))
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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)))))))) (* -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)))))))))))
(+ 1 (+ (* -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) (- 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)))))
(- (+ 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)))))
(- (+ 1 (+ (* -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) (- 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))))) (+ (* -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) (- 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))))))
(/ (* (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
68.0ms	u1	@	0	((/ 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 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1))) (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1)) (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 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))))) (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (/ 1 (sqrt (+ (/ (/ 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))) (sqrt (+ (/ (/ 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 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) (/ (* (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 (+ (/ (/ 1 (+ (pow (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)) 2) 1)) (* alphax alphax)) (/ (* (sin (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 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (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))))) (+ (* 2 u1) 1/2) (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) (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (pow (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)) 2))
58.0ms	alphay	@	-inf	((/ 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 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1))) (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1)) (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 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))))) (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (/ 1 (sqrt (+ (/ (/ 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))) (sqrt (+ (/ (/ 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 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) (/ (* (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 (+ (/ (/ 1 (+ (pow (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)) 2) 1)) (* alphax alphax)) (/ (* (sin (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 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (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))))) (+ (* 2 u1) 1/2) (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) (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (pow (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)) 2))
57.0ms	alphay	@	inf	((/ 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 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1))) (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1)) (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 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))))) (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (/ 1 (sqrt (+ (/ (/ 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))) (sqrt (+ (/ (/ 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 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) (/ (* (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 (+ (/ (/ 1 (+ (pow (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)) 2) 1)) (* alphax alphax)) (/ (* (sin (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 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (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))))) (+ (* 2 u1) 1/2) (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) (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (pow (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)) 2))
53.0ms	alphax	@	-inf	((/ 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 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1))) (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1)) (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 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))))) (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (/ 1 (sqrt (+ (/ (/ 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))) (sqrt (+ (/ (/ 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 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) (/ (* (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 (+ (/ (/ 1 (+ (pow (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)) 2) 1)) (* alphax alphax)) (/ (* (sin (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 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (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))))) (+ (* 2 u1) 1/2) (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) (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (pow (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)) 2))
50.0ms	u1	@	-inf	((/ 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 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1))) (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1)) (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 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))))) (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (/ 1 (sqrt (+ (/ (/ 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))) (sqrt (+ (/ (/ 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 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) (/ (* (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 (+ (/ (/ 1 (+ (pow (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)) 2) 1)) (* alphax alphax)) (/ (* (sin (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 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (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))))) (+ (* 2 u1) 1/2) (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) (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (pow (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)) 2))

simplify708.0ms (4.4%)

Memory

-140.3MiB live, 369.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1682	53370
1	6588	53190
0	8099	49668

Stop Event

1×	iter limit
1×	node limit

Counts

207 → 207

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))))))
(+ 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))))))))
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(+ 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 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))))
(* (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))))
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(+ (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 (* (/ (* (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))))))
(+ (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 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)))))))
(+ (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 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) (* (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))))) (+ (* -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 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 (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 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 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 (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* 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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 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)))))

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

rewrite176.0ms (1.1%)

Memory

-4.0MiB live, 232.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	1041
0	170	901
1	699	685
2	6674	685
0	8056	683

Stop Event

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

Counts

23 → 493

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

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))))) (pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.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) #s(literal 2 binary32)) (pow.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) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)))
(.f32 (pow.f32 (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.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) #s(literal 2 binary32)) (pow.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) #s(literal 2 binary32)))) #s(literal 1 binary32))) #s(literal -1/2 binary32)) (pow.f32 (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.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) #s(literal 2 binary32)) (pow.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) #s(literal 2 binary32)))) #s(literal 1 binary32))) #s(literal -1/2 binary32)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.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) #s(literal 2 binary32)) (pow.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) #s(literal 2 binary32)))) #s(literal 1 binary32))) #s(literal 1/4 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.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) #s(literal 2 binary32)) (pow.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) #s(literal 2 binary32)))) #s(literal 1 binary32))) #s(literal 1/4 binary32)))
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(.f32 (pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.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) #s(literal 2 binary32)) (pow.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) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.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) #s(literal 2 binary32)) (pow.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) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)))
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(/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (neg.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.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) #s(literal 2 binary32)) (pow.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) #s(literal 2 binary32))))) #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.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) #s(literal 2 binary32)) (pow.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) #s(literal 2 binary32)))) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.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) #s(literal 2 binary32)) (pow.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) #s(literal 2 binary32)))) #s(literal 1 binary32))))))
(/.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 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.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) #s(literal 2 binary32)))) #s(literal 1 binary32))))
(pow.f32 (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.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) #s(literal 2 binary32)) (pow.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) #s(literal 2 binary32)))) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.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) #s(literal 2 binary32)) (pow.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) #s(literal 2 binary32)))) #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 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.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) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.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) #s(literal 2 binary32)) (pow.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) #s(literal 2 binary32)))) #s(literal 1 binary32)))) #s(literal -1 binary32)))
(exp.f32 (.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.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) #s(literal 2 binary32)) (pow.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) #s(literal 2 binary32)))))) #s(literal 1/2 binary32)))
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(.f32 (pow.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) #s(literal 2 binary32)) (pow.f32 (/.f32 alphay alphax) #s(literal 2 binary32)))
(.f32 (pow.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 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (.f32 (/.f32 alphay alphax) (.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))
(.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(literal 1 binary32)))
(.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (.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 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (.f32 (/.f32 #s(literal 1 binary32) (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 (/.f32 alphay alphax) (.f32 (tan.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 #s(literal 1 binary32) (pow.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 (.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) alphay) (.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) alphax)
(/.f32 (.f32 (.f32 (neg.f32 (/.f32 alphay alphax)) (sin.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))) (neg.f32 (cos.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))
(/.f32 (.f32 (.f32 (sin.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (.f32 (tan.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))))
(/.f32 (.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) alphay)) alphax)
(/.f32 (.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (.f32 (neg.f32 (/.f32 alphay alphax)) (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 (.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 alphay alphax))) (cos.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))
(/.f32 (.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) alphay) (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) alphay)) (.f32 alphax alphax))
(/.f32 (.f32 (.f32 (neg.f32 (/.f32 alphay alphax)) (sin.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (.f32 (neg.f32 (/.f32 alphay alphax)) (sin.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) (.f32 (neg.f32 (cos.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 (.f32 (.f32 (neg.f32 (/.f32 alphay alphax)) (sin.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))) (/.f32 alphay alphax))) (.f32 (neg.f32 (cos.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 (.f32 (.f32 (neg.f32 (/.f32 alphay alphax)) (sin.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 1 binary32)) (.f32 (neg.f32 (cos.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))))
(/.f32 (.f32 (.f32 (sin.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (.f32 (neg.f32 (/.f32 alphay alphax)) (sin.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) (.f32 (cos.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 (.f32 (.f32 (sin.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 alphay alphax))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))))
(/.f32 (.f32 (.f32 (sin.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(literal 1 binary32)) (.f32 (cos.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 (neg.f32 (/.f32 alphay alphax)) (sin.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (tan.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 #s(literal 1 binary32) (.f32 (sin.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (tan.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)))))
(/.f32 (.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))
(/.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (/.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) (/.f32 #s(literal 1 binary32) (.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))))
(pow.f32 (exp.f32 (log.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))
(pow.f32 (pow.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))
(pow.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))
(exp.f32 (.f32 (log.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)))

eval271.0ms (1.7%)

Memory: 10.5MiB live, 445.2MiB allocated
Compiler: Compiled 140 894 to 7 755 computations (94.5% saved)

prune50.0ms (0.3%)

Memory

-6.0MiB live, 113.9MiB allocated

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	835	15	850
Fresh	7	1	8
Picked	4	1	5
Done	1	0	1
Total	847	17	864

Accuracy

100.0%

Counts

864 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.3%	(/.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 (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 (+.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))))
▶	47.0%	(/.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 (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 #s(approx (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))))
	94.0%	(/.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 (tan.f32 (+.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) (.f32 (PI.f32) #s(literal 1/2 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)))) #s(literal 1 binary32))))
	87.3%	(/.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 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (.f32 u1 (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)))) #s(literal 1 binary32))))
	56.5%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (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)))) alphay) (/.f32 #s(literal 1/2 binary32) alphay) (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 #s(literal 1 binary32) u0)))))
▶	99.4%	(/.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 (pow.f32 (.f32 (tan.f32 (+.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 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)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
	94.0%	(/.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 (pow.f32 (.f32 (tan.f32 #s(approx (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 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)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
	98.0%	(/.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 (pow.f32 (.f32 (tan.f32 #s(approx (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 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)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
	98.0%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)) 2) 1)) (* alphax alphax)) (/ (* (sin (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 alphay alphax) (/.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))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
▶	35.5%	#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))))) (fma.f32 (.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal -1/2 binary32) #s(literal 1 binary32)))
	90.8%	#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))))) (.f32 (pow.f32 (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.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) #s(literal 2 binary32)) (pow.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) #s(literal 2 binary32)))) #s(literal 1 binary32))) #s(literal -1/2 binary32)) (pow.f32 (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.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) #s(literal 2 binary32)) (pow.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) #s(literal 2 binary32)))) #s(literal 1 binary32))) #s(literal -1/2 binary32))))
	98.4%	#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) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.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) #s(literal 2 binary32)) (pow.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) #s(literal 2 binary32)))) #s(literal 1 binary32)))))
	98.6%	#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) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) 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) (+.f32 (.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
▶	99.1%	#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) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) 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) (+.f32 (.f32 u1 #s(literal 2 binary32)) #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)))))
	6.7%	#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 #s(approx (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1)) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (neg.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))))
	95.4%	#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 #s(approx (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1)) (-.f32 #s(literal 1 binary32) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32)) (.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32)) (.f32 alphax alphax))))))))
✓	92.7%	#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(literal 1 binary32))

Compiler

Compiled 3 648 to 1 662 computations (54.4% saved)

simplify148.0ms (0.9%)

Memory

-7.5MiB live, 186.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) 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) (+.f32 (.f32 u1 #s(literal 2 binary32)) #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)))
cost-diff	0	(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) 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) (+.f32 (.f32 u1 #s(literal 2 binary32)) #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))))
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) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) 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) (+.f32 (.f32 u1 #s(literal 2 binary32)) #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)))))
cost-diff	64	(+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))
cost-diff	0	(sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 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 (+.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))
cost-diff	0	(/.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 (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 (+.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))))
cost-diff	160	(fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))
cost-diff	224	(+.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
cost-diff	0	(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 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 #s(approx (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))
cost-diff	0	(sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 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 #s(approx (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))
cost-diff	0	(/.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 (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 #s(approx (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))))
cost-diff	160	(fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))
cost-diff	0	(/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32)))
cost-diff	0	(.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))
cost-diff	0	(fma.f32 (.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal -1/2 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))))) (fma.f32 (.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal -1/2 binary32) #s(literal 1 binary32)))
cost-diff	160	(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (.f32 (tan.f32 (+.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 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)))) u0)
cost-diff	224	(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
cost-diff	224	(+.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
cost-diff	7552	(/.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	136	2863
0	240	2452
1	380	2438
2	556	2438
3	1063	2438
4	2882	2438
5	4865	2438
0	8361	2430

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

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

localize549.0ms (3.4%)

Memory

11.8MiB live, 875.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	12.352905880613996	(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
accuracy	12.352905880613996	(cos.f32 (.f32 (PI.f32) (+.f32 (.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))
accuracy	13.026556361298674	(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	28.66137142238394	(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
accuracy	12.499172931898393	(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))))
accuracy	12.499172931898393	(tan.f32 (+.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))
accuracy	13.026556361298674	(cos.f32 (atan.f32 (.f32 (tan.f32 (+.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax))))
accuracy	26.477762849761895	(fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))
accuracy	12.499172931898393	(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))))
accuracy	12.499172931898393	(tan.f32 #s(approx (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
accuracy	13.026556361298674	(cos.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))))
accuracy	26.477762849761895	(fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))
accuracy	1.0123400670380274	#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 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal -1/2 binary32) #s(literal 1 binary32)))
accuracy	2.4375183851208684	(fma.f32 (.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal -1/2 binary32) #s(literal 1 binary32))
accuracy	12.352905880613996	(cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))
accuracy	26.32422361826687	(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))
accuracy	0.36328125	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)
accuracy	0.45150375976844204	(pow.f32 (.f32 (tan.f32 (+.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32))
accuracy	12.499172931898393	(tan.f32 (+.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))
accuracy	12.499172931898393	(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))

Samples

384.0ms

256×

valid

Compiler

Compiled 5 707 to 253 computations (95.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 296.0ms

ival-sin: 55.0ms (18.6% of total)

ival-div: 53.0ms (17.9% of total)

ival-mult: 34.0ms (11.5% of total)

ival-cos: 30.0ms (10.1% of total)

ival-cosu: 23.0ms (7.8% of total)

ival-tan: 23.0ms (7.8% of total)

ival-sinu: 20.0ms (6.7% of total)

ival-add: 17.0ms (5.7% of total)

ival-pow2: 17.0ms (5.7% of total)

ival-atan: 14.0ms (4.7% of total)

ival-sqrt: 8.0ms (2.7% of total)

ival-pi: 1.0ms (0.3% of total)

ival-sub: 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)

series400.0ms (2.5%)

Memory

-0.6MiB live, 444.7MiB allocated

Counts

32 → 195

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
152.0ms	alphax	@	-inf	((/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)) (+ (* (* (PI) 2) u1) (* (PI) 1/2)) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* alphax alphax)) (/ (* (sin (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))))) (+ (* (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) -1/2) 1) (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (/ 1 (sqrt (+ (/ (/ 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))) (sqrt (+ (/ (/ 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 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) (/ 1 (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)))) alphax) 2))) 1))) (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)))) alphax) 2))) 1)) (+ (* u1 2) 1/2) (/ 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 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1))) (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) (* (* 2 (PI)) u1) (+ (* u1 2) 1/2) (cos (* (+ (* u1 2) 1/2) (PI))) (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (cos (atan (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)))) (+ (* 2 u1) 1/2) (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) (cos (* (PI) (+ (* u1 2) 1/2))) (cos (* (PI) (+ (* 2 u1) 1/2))))
47.0ms	alphay	@	-inf	((/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)) (+ (* (* (PI) 2) u1) (* (PI) 1/2)) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* alphax alphax)) (/ (* (sin (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))))) (+ (* (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) -1/2) 1) (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (/ 1 (sqrt (+ (/ (/ 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))) (sqrt (+ (/ (/ 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 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) (/ 1 (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)))) alphax) 2))) 1))) (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)))) alphax) 2))) 1)) (+ (* u1 2) 1/2) (/ 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 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1))) (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) (* (* 2 (PI)) u1) (+ (* u1 2) 1/2) (cos (* (+ (* u1 2) 1/2) (PI))) (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (cos (atan (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)))) (+ (* 2 u1) 1/2) (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) (cos (* (PI) (+ (* u1 2) 1/2))) (cos (* (PI) (+ (* 2 u1) 1/2))))
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15.0ms	alphay	@	inf	((/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)) (+ (* (* (PI) 2) u1) (* (PI) 1/2)) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* alphax alphax)) (/ (* (sin (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))))) (+ (* (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) -1/2) 1) (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (/ 1 (sqrt (+ (/ (/ 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))) (sqrt (+ (/ (/ 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 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) (/ 1 (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)))) alphax) 2))) 1))) (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)))) alphax) 2))) 1)) (+ (* u1 2) 1/2) (/ 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 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1))) (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) (* (* 2 (PI)) u1) (+ (* u1 2) 1/2) (cos (* (+ (* u1 2) 1/2) (PI))) (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (cos (atan (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)))) (+ (* 2 u1) 1/2) (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) (cos (* (PI) (+ (* u1 2) 1/2))) (cos (* (PI) (+ (* 2 u1) 1/2))))

simplify322.0ms (2%)

Memory

9.0MiB live, 446.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1607	50188
1	6183	50012
0	8987	46692

Stop Event

1×	iter limit
1×	node limit

Counts

195 → 195

Calls

Call 1

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

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

rewrite276.0ms (1.7%)

Memory

1.5MiB live, 270.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	132	1045
0	232	774
1	945	752
2	6049	752
0	8432	752

Stop Event

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

Counts

32 → 697

Calls

Call 1

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

Outputs
(.f32 (.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) (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 #s(literal 1 binary32) alphay))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (neg.f32 alphay) alphay)) (neg.f32 (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 (exp.f32 (log.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))) (exp.f32 (log.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 (.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)))) (pow.f32 alphay #s(literal -2 binary32))) (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 (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)) alphay) (/.f32 #s(literal 1 binary32) alphay))
(.f32 (pow.f32 alphay #s(literal -2 binary32)) (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)))
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(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) #s(literal -1 binary32))
(exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal -1 binary32)))
(neg.f32 (/.f32 (neg.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)))))
(neg.f32 (/.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))))))
(tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))
(.f32 (pow.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)))) #s(literal 1/2 binary32)) (pow.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)))) #s(literal 1/2 binary32)))
(.f32 #s(literal 1 binary32) (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)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (+.f32 (pow.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 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (pow.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(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (pow.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))))
(pow.f32 (/.f32 (sqrt.f32 (+.f32 (pow.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(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (sqrt.f32 (+.f32 (pow.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(literal -1 binary32))
(pow.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)))) #s(literal 1 binary32))
(exp.f32 (.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (pow.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)))
(exp.f32 (.f32 (log.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))))) #s(literal 1 binary32)))
(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))))
(.f32 (fma.f32 (.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 #s(literal 2 binary32) #s(literal -1/2 binary32))))
(.f32 (fma.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 8 binary32) #s(literal 1/8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 u1 u1) #s(literal 4 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 u1 #s(literal 1 binary32))))))
(/.f32 (-.f32 #s(literal 1/4 binary32) (pow.f32 (.f32 u1 #s(literal 2 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 2 binary32))))
(/.f32 (neg.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32))) (neg.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal -1/2 binary32))))
(/.f32 (neg.f32 (fma.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 8 binary32) #s(literal 1/8 binary32))) (neg.f32 (fma.f32 (.f32 u1 u1) #s(literal 4 binary32) (-.f32 #s(literal 1/4 binary32) (.f32 u1 #s(literal 1 binary32))))))
(/.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (fma.f32 u1 #s(literal 2 binary32) #s(literal -1/2 binary32)))
(/.f32 (fma.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 8 binary32) #s(literal 1/8 binary32)) (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 (.f32 u1 #s(literal 2 binary32)) #s(literal 2 binary32)) (.f32 u1 #s(literal 1 binary32)))))
(/.f32 (fma.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 8 binary32) #s(literal 1/8 binary32)) (fma.f32 (.f32 u1 u1) #s(literal 4 binary32) (-.f32 #s(literal 1/4 binary32) (.f32 u1 #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal -1/2 binary32)) (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 u1) #s(literal 4 binary32) (-.f32 #s(literal 1/4 binary32) (.f32 u1 #s(literal 1 binary32)))) (fma.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 8 binary32) #s(literal 1/8 binary32))))
(-.f32 (/.f32 (pow.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 2 binary32)) (fma.f32 u1 #s(literal 2 binary32) #s(literal -1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (fma.f32 u1 #s(literal 2 binary32) #s(literal -1/2 binary32))))
(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
(pow.f32 (/.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal -1/2 binary32)) (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (.f32 u1 u1) #s(literal 4 binary32) (-.f32 #s(literal 1/4 binary32) (.f32 u1 #s(literal 1 binary32)))) (fma.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 8 binary32) #s(literal 1/8 binary32))) #s(literal -1 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 (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)))) #s(literal 1/2 binary32)) (pow.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)))) #s(literal 1/2 binary32)))
(.f32 #s(literal 1 binary32) (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)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (+.f32 (pow.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 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (pow.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(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (pow.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))))
(pow.f32 (/.f32 (sqrt.f32 (+.f32 (pow.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(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (sqrt.f32 (+.f32 (pow.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(literal -1 binary32))
(pow.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)))) #s(literal 1 binary32))
(exp.f32 (.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (pow.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)))
(exp.f32 (.f32 (log.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))))) #s(literal 1 binary32)))
(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))))
(-.f32 (.f32 (cos.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1)) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1)) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))))
(-.f32 (.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1))) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1))))
(fma.f32 (cos.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 2 binary32)))))) (cos.f32 (/.f32 (pow.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) #s(literal 2 binary32)) (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 2 binary32)))))) (.f32 (sin.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 2 binary32)))))) (sin.f32 (/.f32 (pow.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) #s(literal 2 binary32)) (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 2 binary32))))))))
(fma.f32 (cos.f32 (/.f32 (pow.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) #s(literal 2 binary32)) (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal -1/2 binary32))))) (cos.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal -1/2 binary32))))) (.f32 (sin.f32 (/.f32 (pow.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) #s(literal 2 binary32)) (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal -1/2 binary32))))) (sin.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal -1/2 binary32)))))))
(+.f32 (.f32 (cos.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 2 binary32)))))) (cos.f32 (/.f32 (pow.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) #s(literal 2 binary32)) (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 2 binary32))))))) (.f32 (sin.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 2 binary32)))))) (sin.f32 (/.f32 (pow.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) #s(literal 2 binary32)) (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 2 binary32))))))))
(+.f32 (.f32 (cos.f32 (/.f32 (pow.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) #s(literal 2 binary32)) (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal -1/2 binary32))))) (cos.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal -1/2 binary32)))))) (.f32 (sin.f32 (/.f32 (pow.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) #s(literal 2 binary32)) (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal -1/2 binary32))))) (sin.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal -1/2 binary32)))))))
(cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))
(-.f32 (.f32 (cos.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1)) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1)) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))))
(-.f32 (.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1))) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1))))
(fma.f32 (cos.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 2 binary32)))))) (cos.f32 (/.f32 (pow.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) #s(literal 2 binary32)) (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 2 binary32)))))) (.f32 (sin.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 2 binary32)))))) (sin.f32 (/.f32 (pow.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) #s(literal 2 binary32)) (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 2 binary32))))))))
(fma.f32 (cos.f32 (/.f32 (pow.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) #s(literal 2 binary32)) (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal -1/2 binary32))))) (cos.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal -1/2 binary32))))) (.f32 (sin.f32 (/.f32 (pow.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) #s(literal 2 binary32)) (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal -1/2 binary32))))) (sin.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal -1/2 binary32)))))))
(+.f32 (.f32 (cos.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 2 binary32)))))) (cos.f32 (/.f32 (pow.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) #s(literal 2 binary32)) (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 2 binary32))))))) (.f32 (sin.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 2 binary32)))))) (sin.f32 (/.f32 (pow.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) #s(literal 2 binary32)) (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 2 binary32))))))))
(+.f32 (.f32 (cos.f32 (/.f32 (pow.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) #s(literal 2 binary32)) (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal -1/2 binary32))))) (cos.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal -1/2 binary32)))))) (.f32 (sin.f32 (/.f32 (pow.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) #s(literal 2 binary32)) (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal -1/2 binary32))))) (sin.f32 (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal -1/2 binary32)))))))
(cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))

eval232.0ms (1.4%)

Memory: 3.8MiB live, 337.3MiB allocated
Compiler: Compiled 116 388 to 6 696 computations (94.2% saved)

prune55.0ms (0.3%)

Memory

9.3MiB live, 121.6MiB allocated

Pruning

21 alts after pruning (16 fresh and 5 done)

	Pruned	Kept	Total
New	743	10	753
Fresh	5	6	11
Picked	1	4	5
Done	0	1	1
Total	749	21	770

Accuracy

100.0%

Counts

770 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.7%	(/.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 (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) (sqrt.f32 (+.f32 (pow.f32 (.f32 (tan.f32 #s(approx (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))))
✓	47.0%	(/.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 (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 #s(approx (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))))
	94.0%	(/.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 (tan.f32 (+.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) (.f32 (PI.f32) #s(literal 1/2 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)))) #s(literal 1 binary32))))
▶	87.3%	(/.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 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (.f32 u1 (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)))) #s(literal 1 binary32))))
▶	62.6%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 u0 (fma.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.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))) alphay) alphay (pow.f32 (.f32 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))))) #s(literal 2 binary32)))) (pow.f32 (.f32 alphax alphay) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)))))
	56.7%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (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)))) alphay) (/.f32 #s(literal 1/2 binary32) alphay) (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 #s(literal 1 binary32) u0)))))
	68.1%	(/.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 (pow.f32 (.f32 (tan.f32 (+.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))) (.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.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 (*.f32 alphay alphay) #s(literal 2 binary32))))) u0) (-.f32 #s(literal 1 binary32) u0)))))
✓	99.4%	(/.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 (pow.f32 (.f32 (tan.f32 (+.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 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)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
▶	90.5%	(/.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 (pow.f32 (.f32 (tan.f32 (+.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 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 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) (.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
	98.0%	(/.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 (pow.f32 (.f32 (tan.f32 #s(approx (+ (* (* (PI) 2) u1) (* (PI) 1/2)) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 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)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
	94.0%	(/.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 (pow.f32 (.f32 (tan.f32 #s(approx (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 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)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
	98.0%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* alphax alphax)) (/ (* (sin (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 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)))))
	60.8%	(.f32 (pow.f32 (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (cos.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)))) alphax) #s(literal 2 binary32)) (pow.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) #s(literal 2 binary32)))) #s(literal 1 binary32))) #s(literal -1/2 binary32)) (pow.f32 (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (cos.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)))) alphax) #s(literal 2 binary32)) (pow.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) #s(literal 2 binary32)))) #s(literal 1 binary32))) #s(literal -1/2 binary32)))
	98.4%	(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.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) #s(literal 2 binary32)) (pow.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) #s(literal 2 binary32)))) #s(literal 1 binary32))))
✓	32.7%	#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))))) (fma.f32 (.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal -1/2 binary32) #s(literal 1 binary32)))
▶	61.3%	#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))))) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (pow.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) #s(literal -2 binary32))) #s(literal 1 binary32)))
▶	98.6%	#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) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) 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) (+.f32 (.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
✓	99.1%	#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) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) 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) (+.f32 (.f32 u1 #s(literal 2 binary32)) #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)))))
	95.4%	#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 #s(approx (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1)) (-.f32 #s(literal 1 binary32) (/.f32 u0 (+.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)) (.f32 alphax alphax)) (/.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))))))))
	5.8%	#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))))) (sqrt.f32 #s(approx (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1)) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (neg.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))))
✓	92.7%	#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(literal 1 binary32))

Compiler

Compiled 3 535 to 1 737 computations (50.9% saved)

simplify151.0ms (0.9%)

Memory

-27.2MiB live, 177.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	64	(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (.f32 (tan.f32 (+.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 alphax alphax))
cost-diff	160	(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (.f32 (tan.f32 (+.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 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 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) (.f32 alphay alphay)))) u0)
cost-diff	224	(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
cost-diff	224	(+.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
cost-diff	0	(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (.f32 u1 (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)))) #s(literal 1 binary32))
cost-diff	0	(sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (.f32 u1 (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)))) #s(literal 1 binary32)))
cost-diff	0	(/.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 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (.f32 u1 (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)))) #s(literal 1 binary32))))
cost-diff	160	(fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))
cost-diff	0	(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 u0 (fma.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.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))) alphay) alphay (pow.f32 (.f32 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))))) #s(literal 2 binary32)))) (pow.f32 (.f32 alphax alphay) #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 (.f32 (/.f32 u0 (fma.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.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))) alphay) alphay (pow.f32 (.f32 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))))) #s(literal 2 binary32)))) (pow.f32 (.f32 alphax alphay) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)))))
cost-diff	64	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 u0 (fma.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.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))) alphay) alphay (pow.f32 (.f32 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))))) #s(literal 2 binary32)))) (pow.f32 (.f32 alphax alphay) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)))
cost-diff	160	(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.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))) alphay)
cost-diff	0	(*.f32 #s(literal -1/2 binary32) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))
cost-diff	0	(.f32 (.f32 #s(literal -1/2 binary32) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (pow.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) #s(literal -2 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))))) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (pow.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) #s(literal -2 binary32))) #s(literal 1 binary32)))
cost-diff	64	(+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (pow.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) #s(literal -2 binary32))) #s(literal 1 binary32))
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) 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) (+.f32 (.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))
cost-diff	0	(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) 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) (+.f32 (.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #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) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) 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) (+.f32 (.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
cost-diff	64	(+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	2872
0	261	2688
1	416	2658
2	599	2658
3	1206	2658
4	2284	2658
5	4836	2658
0	8357	2636

Stop Event

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

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

localize606.0ms (3.8%)

Memory

49.3MiB live, 912.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	8.962354769272418	(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))
accuracy	12.499172931898393	(tan.f32 (+.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))
accuracy	12.499172931898393	(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
accuracy	12.499172931898393	(tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))
accuracy	12.499172931898393	(tan.f32 #s(approx (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32))))
accuracy	13.026556361298674	(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))))
accuracy	26.477762849761895	(fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))
accuracy	26.477762849761895	#s(approx (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32)))
accuracy	0.49904252930532605	(pow.f32 (*.f32 alphax alphay) #s(literal 2 binary32))
accuracy	5.412420013337025	(fma.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.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))) alphay) alphay (pow.f32 (.f32 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))))) #s(literal 2 binary32)))
accuracy	8.962354769272418	(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))
accuracy	12.499172931898393	(tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))
accuracy	0.5316200683790941	(pow.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) #s(literal -2 binary32))
accuracy	1.0123400670380274	#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 (.f32 (.f32 #s(literal -1/2 binary32) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (pow.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) #s(literal -2 binary32))) #s(literal 1 binary32)))
accuracy	8.962354769272418	(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))
accuracy	12.499172931898393	(tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))
accuracy	12.352905880613996	(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
accuracy	12.352905880613996	(cos.f32 (.f32 (PI.f32) (+.f32 (.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))
accuracy	13.026556361298674	(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) (+.f32 (.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)))))))
accuracy	26.4674815072944	(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))

Samples

444.0ms

256×

valid

Compiler

Compiled 5 735 to 278 computations (95.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 390.0ms

ival-mult: 83.0ms (21.3% of total)

ival-cosu: 64.0ms (16.4% of total)

ival-div: 48.0ms (12.3% of total)

ival-sin: 37.0ms (9.5% of total)

ival-cos: 31.0ms (8% of total)

ival-tan: 25.0ms (6.4% of total)

ival-atan: 24.0ms (6.2% of total)

ival-add: 22.0ms (5.6% of total)

ival-pow2: 21.0ms (5.4% of total)

ival-tanu: 11.0ms (2.8% of total)

ival-sinu: 9.0ms (2.3% of total)

ival-sqrt: 8.0ms (2.1% of total)

ival-pow: 4.0ms (1% of total)

ival-sub: 1.0ms (0.3% of total)

ival-pi: 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)

series564.0ms (3.5%)

Memory

-7.7MiB live, 774.1MiB allocated

Counts

34 → 358

Calls

Call 1

Inputs
(+.f32 (*.f32 u1 #s(literal 2 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) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) 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) (+.f32 (.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) 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) (+.f32 (.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) 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) (+.f32 (.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))
(+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (pow.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) #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))))) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (pow.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) #s(literal -2 binary32))) #s(literal 1 binary32)))
(.f32 (.f32 #s(literal -1/2 binary32) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (pow.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) #s(literal -2 binary32)))
(*.f32 #s(literal -1/2 binary32) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.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))) alphay)
(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 u0 (fma.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.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))) alphay) alphay (pow.f32 (.f32 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))))) #s(literal 2 binary32)))) (pow.f32 (.f32 alphax 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 (/.f32 u0 (fma.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.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))) alphay) alphay (pow.f32 (.f32 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))))) #s(literal 2 binary32)))) (pow.f32 (.f32 alphax alphay) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 u0 (fma.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.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))) alphay) alphay (pow.f32 (.f32 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))))) #s(literal 2 binary32)))) (pow.f32 (.f32 alphax alphay) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))
(/.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 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (.f32 u1 (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)))) #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 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (.f32 u1 (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)))) #s(literal 1 binary32)))
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(+.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.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 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (.f32 (tan.f32 (+.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 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 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) (.f32 alphay alphay)))) u0)
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (.f32 (tan.f32 (+.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 alphax alphax))
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 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) (+.f32 (.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)))))))
(cos.f32 (.f32 (PI.f32) (+.f32 (.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))
(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))
(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))
(pow.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) #s(literal -2 binary32))
(fma.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.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))) alphay) alphay (pow.f32 (.f32 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))))) #s(literal 2 binary32)))
(pow.f32 (*.f32 alphax alphay) #s(literal 2 binary32))
#s(approx (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32)))
(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 #s(approx (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32))))
(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 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 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 (* -1/2 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))))))
(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))))))) (* 1/2 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))))))))
(+ 1 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))))) (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))))) (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))) (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))))))) (* 1/2 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))))))))
(+ 1 (* -1 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))))))
(+ 1 (* u0 (- (* u0 (- (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))) 2)) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))))))
(+ 1 (* u0 (- (* u0 (- (+ (* u0 (- (* 2 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))) 2))) (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))) (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))) 3))))) (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))))))
(+ 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 (+ (* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))))))
(+ 1 (* u0 (+ (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* u0 (+ (* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))))))))
(* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)))
(* u0 (+ (* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)))))
(* u0 (+ (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* u0 (+ (* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)))))))
(* u0 (+ (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* u0 (+ (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* u0 (+ (* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)))))))))
(* -1/2 u0)
(* u0 (- (* -1/2 u0) 1/2))
(* u0 (- (* u0 (- (* -1/2 u0) 1/2)) 1/2))
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(/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI))))
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(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))
(* 2 u1)
(* u1 (+ 2 (* 1/2 (/ 1 u1))))
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(* 2 (* u1 (PI)))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
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(cos (* (PI) (+ 1/2 (* 2 u1))))
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(/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))
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(* (pow alphax 2) (pow alphay 2))
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2 u1)))))))) 10) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2))))))) (pow alphax 6)) (sqrt (+ 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))))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 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alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 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)))) 3))))))))
(/ 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))))) (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 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)))) 2) (- 1 u0))))))
(- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 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)))) 2) (- 1 u0))))) (pow alphax 4))) (/ 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 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 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)))) 2) (- 1 u0)))))))
(- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 2) (- 1 u0))))) (+ (/ (* (pow alphay 4) (* u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 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)))) 2) (- 1 u0)))))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (+ 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 u0)))) (/ (* (pow alphay 10) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 10) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2)))))) (pow alphax 6))) (/ 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 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 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)))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2)))))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 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)))) 2) (- 1 u0))))))))
alphay
(+ alphay (* -1 (/ (* (pow alphay 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(- (+ alphay (/ (* (pow alphay 5) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (/ (* (pow alphay 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))
(- (+ alphay (* -1 (/ (* (pow alphay 7) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* (pow alphax 6) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))))) (+ (* -1 (/ (* (pow alphay 5) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (/ (* (pow alphay 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 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))))
(+ 1 (+ (* -1 (/ (* (pow alphay 4) u0) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ (* (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 (/ (+ (* -1 (/ (* (pow alphay 6) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (* -1 (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (pow alphax 4))) (/ (* (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 4) u0) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))
(- (+ 1 (+ (* -1 (/ (+ (* -1 (/ (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 6) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (* -1 (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))))) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (+ (/ (* (pow alphay 8) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* (pow alphay 8) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (pow alphax 6))) (/ (* (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 6) u0) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))) (+ (* -1 (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ (* (pow alphay 4) u0) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))))
(+ (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)))))) (* 1/2 (* (/ (* (pow alphay 4) u0) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 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)))) 3))))))
(+ (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)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphay 8) (pow u0 2)) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2))))) (+ (* -1 (/ (+ (* -1 (/ (* (pow alphay 6) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (* -1 (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (pow (+ 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)))) 2))) (* 1/4 (/ (* (pow alphay 8) (pow u0 2)) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2))))))) (pow alphax 4)) (sqrt (+ 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))))))) (* 1/2 (* (/ (* (pow alphay 4) u0) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 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)))) 3)))))))
(+ (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)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphay 4) (* u0 (+ (* -1 (/ (* (pow alphay 6) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (* -1 (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 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)))) 3) (- 1 u0))))) (+ (* -1 (/ (+ (* -1 (/ (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 6) 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(/ 1 (pow alphax 2))
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(* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))
(* (pow alphax 2) (+ (/ (pow alphay 2) (pow alphax 2)) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)))
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(+ 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) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 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)))))))) (* -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 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 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)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 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)))) (+ (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 2))))))))) (* -1/2 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 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))))))))))))
(+ 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) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 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))))))) (/ 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) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 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)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 2)))))))) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 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))))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))
(* alphay (+ 1 (* -1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))
(* alphay (+ 1 (* (pow alphay 2) (- (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
(* alphay (+ 1 (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* (pow alphax 6) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)))) (* -1 (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)))))) (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
(+ 1 (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) u0) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ 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) (+ (* -1 (/ u0 (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))) (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))))))) (/ u0 (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ 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 (/ u0 (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 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)))))))) (* -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 (+ (* -1 (/ u0 (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))) (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))))) (+ (* -1 (/ (* u0 (+ (* -1 (/ u0 (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 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)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ u0 (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 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 2) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 2))))))))) (* -1/2 (+ (* -1 (/ u0 (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 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))))))))))))
(+ 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) (+ (* 1/4 (/ (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)))) (/ u0 (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))))) (* 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 (/ u0 (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))) (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (* -1/2 (/ (* u0 (+ (* 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)))) (/ u0 (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))))) (* -1/2 (+ (* 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)))) (/ u0 (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 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 alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))) (/ u0 (* (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ u0 (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 3))))) (* -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 (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))))))) (/ u0 (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))))) (/ u0 (* (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (+ (* -1 (/ u0 (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 3))))) (* -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 (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))))) (* (pow alphax 2) (* (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))) (+ (/ (* 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 (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 3))))) (/ (* 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 (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))))))) (+ (* -1 (/ u0 (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 3))))) (* -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 (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))))))) (/ u0 (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))))) (/ u0 (* (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))
(+ (* -1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))) (/ 1 (pow alphax 2)))
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(+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6)) (* (pow alphax 8) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6)))) (* -1 (/ (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow alphax 6) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)))))) (/ (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow alphax 4) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))) (/ 1 (pow alphax 2)))
(+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (pow alphay 2))
(+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (+ 1 (* -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) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (+ 1 (* (pow alphay 2) (- (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))
(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 (+ 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))))))
(+ (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 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)))))))
(+ (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 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) (* (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))))) (+ (* -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 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)))))) 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(- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 2) (- 1 u0))))) (+ (/ (* (pow alphax 4) (* u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 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)))) 2) (- 1 u0)))))))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (+ 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 u0)))) (/ (* (pow alphax 10) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 10) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2)))))) (pow alphay 6))) (/ 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 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 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)))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2)))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 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)))) 2) (- 1 u0))))))))
(* (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)))) (/ 1 (pow alphay 2))))
(/ (+ (* -1 (/ (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) alphay)
(/ (- (+ (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (/ (* (pow alphax 6) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))) (/ (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) alphay)
(/ (- (+ (* -1 (/ (* (pow alphax 8) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8)) (* (pow alphay 6) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8)))) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (+ (* -1 (/ (* (pow alphax 6) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))) (/ (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))))) alphay)
(/ (* (pow alphax 2) (* (pow alphay 2) u0)) (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))
(* (pow alphay 2) (- (+ (/ 1 (pow alphay 2)) (/ (* (pow alphax 2) u0) (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))) (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))) (/ (* (pow alphax 8) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))) (pow alphay 4))) (+ (/ 1 (pow alphay 2)) (/ (* (pow alphax 2) u0) (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0))))) (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))) (+ (/ (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))) (/ (* (pow alphax 8) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))) (/ (* (pow alphax 12) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 10))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 10) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0)))))) (pow alphay 6))) (+ (/ 1 (pow alphay 2)) (/ (* (pow alphax 2) u0) (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0))))) (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0)))))) (/ (* (pow alphax 8) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))))))
(* (/ 1 (* alphax alphay)) (sqrt (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0)))
(/ (+ (* -1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (* (pow alphax 3) (pow alphay 2))) (sqrt (/ (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (pow (- 1 u0) 3)) (pow u0 3))))) (* (/ 1 alphax) (sqrt (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0)))) alphay)
(/ (+ (* -1/2 (* (/ (* alphax (+ (* -1 (/ (* (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))) (/ (* (pow alphax 8) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (pow (- 1 u0) 2))) (* (pow alphax 4) (pow u0 2)))) (+ (* -1 (/ (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (* (pow (- 1 u0) 3) (pow (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) 2))) (* (pow alphax 6) (pow u0 3)))) (* 1/4 (/ (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (* (pow (- 1 u0) 3) (pow (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) 2))) (* (pow alphax 6) (pow u0 3))))))) (pow alphay 4)) (sqrt (/ u0 (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))))) (+ (* -1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (* (pow alphax 3) (pow alphay 2))) (sqrt (/ (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (pow (- 1 u0) 3)) (pow u0 3))))) (* (/ 1 alphax) (sqrt (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0))))) alphay)
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(PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) 2))) (* (pow alphax 6) (pow u0 3))))))) (pow alphay 4)) (sqrt (/ u0 (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))))) (+ (* -1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (* (pow alphax 3) (pow alphay 2))) (sqrt (/ (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (pow (- 1 u0) 3)) (pow u0 3))))) (* (/ 1 alphax) (sqrt (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0)))))) alphay)
(* (* alphax alphay) (sqrt (/ u0 (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))))
(* alphay (+ (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (* alphax (pow alphay 2))) (sqrt (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0)))) (* alphax (sqrt (/ u0 (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))))))
(* alphay (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))) (+ (* 1/4 (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (- 1 u0) (pow (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) 2))) (* (pow alphax 2) u0))) (/ (* (pow alphax 8) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (* alphax (pow alphay 4))) (sqrt (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0)))) (+ (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (* alphax (pow alphay 2))) (sqrt (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0)))) (* alphax (sqrt (/ u0 (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0))))))))
(* alphay (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))) (+ (* -1/2 (/ (* (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))) (+ (* 1/4 (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (- 1 u0) (pow (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) 2))) (* (pow alphax 2) u0))) (/ (* (pow alphax 8) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (- 1 u0) (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))))))) (* (pow alphax 2) u0))) (+ (/ (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))) (/ (* (pow alphax 8) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))) (/ (* (pow alphax 12) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 10))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 10) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))))) (* alphax (pow alphay 6))) (sqrt (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0)))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))) (+ (* 1/4 (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (- 1 u0) (pow (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) 2))) (* (pow alphax 2) u0))) (/ (* (pow alphax 8) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (* alphax (pow alphay 4))) (sqrt (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0)))) (+ (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (* alphax (pow alphay 2))) (sqrt (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0)))) (* alphax (sqrt (/ u0 (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 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)))))
(+ (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))))))))))
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(* -1 (/ (- (+ (* -1 (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (* (pow alphax 8) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8)) (* (pow alphay 6) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8)))) (+ (* -1 (/ (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (/ (* (pow alphax 6) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6))))) alphay))
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(sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))) (/ (* (pow alphax 8) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (* (pow (- 1 u0) 3) (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))))))) (* (pow alphax 6) (pow u0 3))))))) (pow alphay 6)) (sqrt (/ u0 (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))))) (+ (* -1/2 (* (/ (* alphax (+ (* -1 (/ (* (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))) (/ (* (pow alphax 8) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (pow (- 1 u0) 2))) (* (pow alphax 4) (pow u0 2)))) (+ (* -1 (/ (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (* (pow (- 1 u0) 3) (pow (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) 2))) (* (pow alphax 6) (pow u0 3)))) (* 1/4 (/ (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (* (pow (- 1 u0) 3) (pow (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) 2))) (* (pow alphax 6) (pow u0 3))))))) (pow alphay 4)) (sqrt (/ u0 (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))))) (+ (* -1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (* (pow alphax 3) (pow alphay 2))) (sqrt (/ (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (pow (- 1 u0) 3)) (pow u0 3))))) (* (/ 1 alphax) (sqrt (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0)))))) alphay))
(* -1 (* (* alphax alphay) (sqrt (/ u0 (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0))))))
(* -1 (* alphay (+ (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (* alphax (pow alphay 2))) (sqrt (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0)))) (* alphax (sqrt (/ u0 (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0))))))))
(* -1 (* alphay (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))) (+ (* 1/4 (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (- 1 u0) (pow (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) 2))) (* (pow alphax 2) u0))) (/ (* (pow alphax 8) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (* alphax (pow alphay 4))) (sqrt (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0)))) (+ (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (* alphax (pow alphay 2))) (sqrt (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0)))) (* alphax (sqrt (/ u0 (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))))))))
(* -1 (* alphay (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))) (+ (* -1/2 (/ (* (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))) (+ (* 1/4 (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (- 1 u0) (pow (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) 2))) (* (pow alphax 2) u0))) (/ (* (pow alphax 8) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (- 1 u0) (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))))))) (* (pow alphax 2) u0))) (+ (/ (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))) (/ (* (pow alphax 8) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))) (/ (* (pow alphax 12) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 10))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 10) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))))) (* alphax (pow alphay 6))) (sqrt (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0)))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))) (+ (* 1/4 (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (- 1 u0) (pow (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) 2))) (* (pow alphax 2) u0))) (/ (* (pow alphax 8) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (* alphax (pow alphay 4))) (sqrt (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0)))) (+ (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (* alphax (pow alphay 2))) (sqrt (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0)))) (* alphax (sqrt (/ u0 (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0))))))))))

Calls

12 calls:

Time	Variable		Point	Expression
96.0ms	u1	@	-inf	((+ (* u1 2) 1/2) (/ 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 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2)))))) 2) (* alphax alphax)))) 1))) (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2)))))) 2) (* alphax alphax)))) 1)) (+ (* (* -1/2 (/ u0 (- 1 u0))) (pow (/ (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphay) -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))))) (* (* -1/2 (/ u0 (- 1 u0))) (pow (/ (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphay) -2)) (* -1/2 (/ u0 (- 1 u0))) (* (/ 1 (+ (pow (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)) 2) 1)) alphay) (+ 1 (/ (* (/ u0 (+ (* (* (/ 1 (+ (pow (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)) 2) 1)) alphay) alphay) (pow (* alphax (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))))) 2))) (pow (* alphax alphay) 2)) (- 1 u0))) (/ 1 (sqrt (+ 1 (/ (* (/ u0 (+ (* (* (/ 1 (+ (pow (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)) 2) 1)) alphay) alphay) (pow (* alphax (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))))) 2))) (pow (* alphax alphay) 2)) (- 1 u0))))) (sqrt (+ 1 (/ (* (/ u0 (+ (* (* (/ 1 (+ (pow (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)) 2) 1)) alphay) alphay) (pow (* alphax (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))))) 2))) (pow (* alphax alphay) 2)) (- 1 u0)))) (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (/ 1 (sqrt (+ (/ (/ 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))) (sqrt (+ (/ (/ 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 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) (+ (* (* (PI) 2) u1) (* (PI) 1/2)) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (* (+ (* u1 2) 1/2) (PI))))))) (* alphay alphay)))) u0) (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* alphax alphax)) (+ (* 2 u1) 1/2) (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2)))))) (cos (* (PI) (+ (* u1 2) 1/2))) (cos (* (PI) (+ (* 2 u1) 1/2))) (tan (* (+ (* u1 2) 1/2) (PI))) (+ (* u1 2) 1/2) (pow (/ (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphay) -2) (+ (* (* (/ 1 (+ (pow (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)) 2) 1)) alphay) alphay) (pow (* alphax (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))))) 2)) (pow (* alphax alphay) 2) (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))))
68.0ms	u1	@	0	((+ (* u1 2) 1/2) (/ 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 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2)))))) 2) (* alphax alphax)))) 1))) (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2)))))) 2) (* alphax alphax)))) 1)) (+ (* (* -1/2 (/ u0 (- 1 u0))) (pow (/ (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphay) -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))))) (* (* -1/2 (/ u0 (- 1 u0))) (pow (/ (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphay) -2)) (* -1/2 (/ u0 (- 1 u0))) (* (/ 1 (+ (pow (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)) 2) 1)) alphay) (+ 1 (/ (* (/ u0 (+ (* (* (/ 1 (+ (pow (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)) 2) 1)) alphay) alphay) (pow (* alphax (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))))) 2))) (pow (* alphax alphay) 2)) (- 1 u0))) (/ 1 (sqrt (+ 1 (/ (* (/ u0 (+ (* (* (/ 1 (+ (pow (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)) 2) 1)) alphay) alphay) (pow (* alphax (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))))) 2))) (pow (* alphax alphay) 2)) (- 1 u0))))) (sqrt (+ 1 (/ (* (/ u0 (+ (* (* (/ 1 (+ (pow (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)) 2) 1)) alphay) alphay) (pow (* alphax (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))))) 2))) (pow (* alphax alphay) 2)) (- 1 u0)))) (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (/ 1 (sqrt (+ (/ (/ 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))) (sqrt (+ (/ (/ 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 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) (+ (* (* (PI) 2) u1) (* (PI) 1/2)) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (* (+ (* u1 2) 1/2) (PI))))))) (* alphay alphay)))) u0) (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* alphax alphax)) (+ (* 2 u1) 1/2) (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2)))))) (cos (* (PI) (+ (* u1 2) 1/2))) (cos (* (PI) (+ (* 2 u1) 1/2))) (tan (* (+ (* u1 2) 1/2) (PI))) (+ (* u1 2) 1/2) (pow (/ (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphay) -2) (+ (* (* (/ 1 (+ (pow (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)) 2) 1)) alphay) alphay) (pow (* alphax (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))))) 2)) (pow (* alphax alphay) 2) (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))))
57.0ms	alphay	@	inf	((+ (* u1 2) 1/2) (/ 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 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2)))))) 2) (* alphax alphax)))) 1))) (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2)))))) 2) (* alphax alphax)))) 1)) (+ (* (* -1/2 (/ u0 (- 1 u0))) (pow (/ (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphay) -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))))) (* (* -1/2 (/ u0 (- 1 u0))) (pow (/ (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphay) -2)) (* -1/2 (/ u0 (- 1 u0))) (* (/ 1 (+ (pow (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)) 2) 1)) alphay) (+ 1 (/ (* (/ u0 (+ (* (* (/ 1 (+ (pow (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)) 2) 1)) alphay) alphay) (pow (* alphax (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))))) 2))) (pow (* alphax alphay) 2)) (- 1 u0))) (/ 1 (sqrt (+ 1 (/ (* (/ u0 (+ (* (* (/ 1 (+ (pow (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)) 2) 1)) alphay) alphay) (pow (* alphax (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))))) 2))) (pow (* alphax alphay) 2)) (- 1 u0))))) (sqrt (+ 1 (/ (* (/ u0 (+ (* (* (/ 1 (+ (pow (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)) 2) 1)) alphay) alphay) (pow (* alphax (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))))) 2))) (pow (* alphax alphay) 2)) (- 1 u0)))) (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (/ 1 (sqrt (+ (/ (/ 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))) (sqrt (+ (/ (/ 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 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) (+ (* (* (PI) 2) u1) (* (PI) 1/2)) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (* (+ (* u1 2) 1/2) (PI))))))) (* alphay alphay)))) u0) (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* alphax alphax)) (+ (* 2 u1) 1/2) (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2)))))) (cos (* (PI) (+ (* u1 2) 1/2))) (cos (* (PI) (+ (* 2 u1) 1/2))) (tan (* (+ (* u1 2) 1/2) (PI))) (+ (* u1 2) 1/2) (pow (/ (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphay) -2) (+ (* (* (/ 1 (+ (pow (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)) 2) 1)) alphay) alphay) (pow (* alphax (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))))) 2)) (pow (* alphax alphay) 2) (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))))
32.0ms	alphax	@	0	((+ (* u1 2) 1/2) (/ 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 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2)))))) 2) (* alphax alphax)))) 1))) (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2)))))) 2) (* alphax alphax)))) 1)) (+ (* (* -1/2 (/ u0 (- 1 u0))) (pow (/ (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphay) -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))))) (* (* -1/2 (/ u0 (- 1 u0))) (pow (/ (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphay) -2)) (* -1/2 (/ u0 (- 1 u0))) (* (/ 1 (+ (pow (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)) 2) 1)) alphay) (+ 1 (/ (* (/ u0 (+ (* (* (/ 1 (+ (pow (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)) 2) 1)) alphay) alphay) (pow (* alphax (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))))) 2))) (pow (* alphax alphay) 2)) (- 1 u0))) (/ 1 (sqrt (+ 1 (/ (* (/ u0 (+ (* (* (/ 1 (+ (pow (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)) 2) 1)) alphay) alphay) (pow (* alphax (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))))) 2))) (pow (* alphax alphay) 2)) (- 1 u0))))) (sqrt (+ 1 (/ (* (/ u0 (+ (* (* (/ 1 (+ (pow (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)) 2) 1)) alphay) alphay) (pow (* alphax (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))))) 2))) (pow (* alphax alphay) 2)) (- 1 u0)))) (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (/ 1 (sqrt (+ (/ (/ 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))) (sqrt (+ (/ (/ 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 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) (+ (* (* (PI) 2) u1) (* (PI) 1/2)) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (* (+ (* u1 2) 1/2) (PI))))))) (* alphay alphay)))) u0) (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* alphax alphax)) (+ (* 2 u1) 1/2) (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2)))))) (cos (* (PI) (+ (* u1 2) 1/2))) (cos (* (PI) (+ (* 2 u1) 1/2))) (tan (* (+ (* u1 2) 1/2) (PI))) (+ (* u1 2) 1/2) (pow (/ (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphay) -2) (+ (* (* (/ 1 (+ (pow (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)) 2) 1)) alphay) alphay) (pow (* alphax (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))))) 2)) (pow (* alphax alphay) 2) (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))))
28.0ms	alphay	@	-inf	((+ (* u1 2) 1/2) (/ 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 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2)))))) 2) (* alphax alphax)))) 1))) (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2)))))) 2) (* alphax alphax)))) 1)) (+ (* (* -1/2 (/ u0 (- 1 u0))) (pow (/ (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphay) -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))))) (* (* -1/2 (/ u0 (- 1 u0))) (pow (/ (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphay) -2)) (* -1/2 (/ u0 (- 1 u0))) (* (/ 1 (+ (pow (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)) 2) 1)) alphay) (+ 1 (/ (* (/ u0 (+ (* (* (/ 1 (+ (pow (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)) 2) 1)) alphay) alphay) (pow (* alphax (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))))) 2))) (pow (* alphax alphay) 2)) (- 1 u0))) (/ 1 (sqrt (+ 1 (/ (* (/ u0 (+ (* (* (/ 1 (+ (pow (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)) 2) 1)) alphay) alphay) (pow (* alphax (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))))) 2))) (pow (* alphax alphay) 2)) (- 1 u0))))) (sqrt (+ 1 (/ (* (/ u0 (+ (* (* (/ 1 (+ (pow (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)) 2) 1)) alphay) alphay) (pow (* alphax (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))))) 2))) (pow (* alphax alphay) 2)) (- 1 u0)))) (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (/ 1 (sqrt (+ (/ (/ 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))) (sqrt (+ (/ (/ 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 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) (+ (* (* (PI) 2) u1) (* (PI) 1/2)) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (* (+ (* u1 2) 1/2) (PI))))))) (* alphay alphay)))) u0) (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* alphax alphax)) (+ (* 2 u1) 1/2) (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2)))))) (cos (* (PI) (+ (* u1 2) 1/2))) (cos (* (PI) (+ (* 2 u1) 1/2))) (tan (* (+ (* u1 2) 1/2) (PI))) (+ (* u1 2) 1/2) (pow (/ (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphay) -2) (+ (* (* (/ 1 (+ (pow (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)) 2) 1)) alphay) alphay) (pow (* alphax (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))))) 2)) (pow (* alphax alphay) 2) (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))))

simplify526.0ms (3.3%)

Memory

0.4MiB live, 635.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2833	113393
0	9085	112234

Stop Event

1×	iter limit
1×	node limit

Counts

358 → 357

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))))))
(+ 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))))))))
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(+ 1 (* -1/2 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))))))
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(/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI))))
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(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))
(* 2 u1)
(* u1 (+ 2 (* 1/2 (/ 1 u1))))
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(* 2 (* u1 (PI)))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
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(cos (* (PI) (+ 1/2 (* 2 u1))))
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(/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))
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(* (pow alphax 2) (pow alphay 2))
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2 u1)))))))) 10) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2))))))) (pow alphax 6)) (sqrt (+ 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))))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 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alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 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)))) 3))))))))
(/ 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))))) (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 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)))) 2) (- 1 u0))))))
(- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 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)))) 2) (- 1 u0))))) (pow alphax 4))) (/ 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 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 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)))) 2) (- 1 u0)))))))
(- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 2) (- 1 u0))))) (+ (/ (* (pow alphay 4) (* u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 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)))) 2) (- 1 u0)))))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (+ 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 u0)))) (/ (* (pow alphay 10) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 10) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2)))))) (pow alphax 6))) (/ 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 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 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)))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2)))))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 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)))) 2) (- 1 u0))))))))
alphay
(+ alphay (* -1 (/ (* (pow alphay 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(- (+ alphay (/ (* (pow alphay 5) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (/ (* (pow alphay 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))
(- (+ alphay (* -1 (/ (* (pow alphay 7) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* (pow alphax 6) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))))) (+ (* -1 (/ (* (pow alphay 5) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (/ (* (pow alphay 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 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))))
(+ 1 (+ (* -1 (/ (* (pow alphay 4) u0) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ (* (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 (/ (+ (* -1 (/ (* (pow alphay 6) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (* -1 (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (pow alphax 4))) (/ (* (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 4) u0) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))
(- (+ 1 (+ (* -1 (/ (+ (* -1 (/ (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 6) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (* -1 (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))))) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (+ (/ (* (pow alphay 8) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* (pow alphay 8) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (pow alphax 6))) (/ (* (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 6) u0) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))) (+ (* -1 (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ (* (pow alphay 4) u0) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))))
(+ (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)))))) (* 1/2 (* (/ (* (pow alphay 4) u0) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 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)))) 3))))))
(+ (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)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphay 8) (pow u0 2)) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2))))) (+ (* -1 (/ (+ (* -1 (/ (* (pow alphay 6) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (* -1 (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (pow (+ 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)))) 2))) (* 1/4 (/ (* (pow alphay 8) (pow u0 2)) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2))))))) (pow alphax 4)) (sqrt (+ 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))))))) (* 1/2 (* (/ (* (pow alphay 4) u0) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 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)))) 3)))))))
(+ (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)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphay 4) (* u0 (+ (* -1 (/ (* (pow alphay 6) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (* -1 (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 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)))) 3) (- 1 u0))))) (+ (* -1 (/ (+ (* -1 (/ (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 6) 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(/ 1 (pow alphax 2))
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(* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))
(* (pow alphax 2) (+ (/ (pow alphay 2) (pow alphax 2)) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)))
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(+ 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) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 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)))))))) (* -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 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 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)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 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)))) (+ (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 2))))))))) (* -1/2 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 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))))))))))))
(+ 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) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 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))))))) (/ 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) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 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)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 2)))))))) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 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))))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))
(* alphay (+ 1 (* -1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))
(* alphay (+ 1 (* (pow alphay 2) (- (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
(* alphay (+ 1 (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* (pow alphax 6) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)))) (* -1 (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)))))) (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
(+ 1 (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) u0) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ 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) (+ (* -1 (/ u0 (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))) (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))))))) (/ u0 (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ 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 (/ u0 (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 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)))))))) (* -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 (+ (* -1 (/ u0 (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))) (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))))) (+ (* -1 (/ (* u0 (+ (* -1 (/ u0 (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 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)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ u0 (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 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 2) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 2))))))))) (* -1/2 (+ (* -1 (/ u0 (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 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))))))))))))
(+ 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) (+ (* 1/4 (/ (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)))) (/ u0 (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))))) (* 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 (/ u0 (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))) (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (* -1/2 (/ (* u0 (+ (* 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)))) (/ u0 (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))))) (* -1/2 (+ (* 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)))) (/ u0 (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 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 alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))) (/ u0 (* (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ u0 (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 3))))) (* -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 (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))))))) (/ u0 (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))))) (/ u0 (* (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (+ (* -1 (/ u0 (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 3))))) (* -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 (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))))) (* (pow alphax 2) (* (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))) (+ (/ (* 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 (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 3))))) (/ (* 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 (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))))))) (+ (* -1 (/ u0 (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 3))))) (* -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 (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))))))) (/ u0 (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))))) (/ u0 (* (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))
(+ (* -1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))) (/ 1 (pow alphax 2)))
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(+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6)) (* (pow alphax 8) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6)))) (* -1 (/ (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow alphax 6) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)))))) (/ (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow alphax 4) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))) (/ 1 (pow alphax 2)))
(+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (pow alphay 2))
(+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (+ 1 (* -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) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (+ 1 (* (pow alphay 2) (- (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))
(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 (+ 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))))))
(+ (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 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)))))))
(+ (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 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) (* (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))))) (+ (* -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 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)))))) 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(- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 2) (- 1 u0))))) (+ (/ (* (pow alphax 4) (* u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 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)))) 2) (- 1 u0)))))))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (+ 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 u0)))) (/ (* (pow alphax 10) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 10) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2)))))) (pow alphay 6))) (/ 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 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 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)))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2)))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 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)))) 2) (- 1 u0))))))))
(* (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)))) (/ 1 (pow alphay 2))))
(/ (+ (* -1 (/ (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) alphay)
(/ (- (+ (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (/ (* (pow alphax 6) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))) (/ (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) alphay)
(/ (- (+ (* -1 (/ (* (pow alphax 8) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8)) (* (pow alphay 6) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8)))) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (+ (* -1 (/ (* (pow alphax 6) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))) (/ (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))))) alphay)
(/ (* (pow alphax 2) (* (pow alphay 2) u0)) (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))
(* (pow alphay 2) (- (+ (/ 1 (pow alphay 2)) (/ (* (pow alphax 2) u0) (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))) (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))) (/ (* (pow alphax 8) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))) (pow alphay 4))) (+ (/ 1 (pow alphay 2)) (/ (* (pow alphax 2) u0) (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0))))) (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))) (+ (/ (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))) (/ (* (pow alphax 8) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))) (/ (* (pow alphax 12) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 10))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 10) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0)))))) (pow alphay 6))) (+ (/ 1 (pow alphay 2)) (/ (* (pow alphax 2) u0) (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0))))) (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0)))))) (/ (* (pow alphax 8) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))))))
(* (/ 1 (* alphax alphay)) (sqrt (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0)))
(/ (+ (* -1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (* (pow alphax 3) (pow alphay 2))) (sqrt (/ (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (pow (- 1 u0) 3)) (pow u0 3))))) (* (/ 1 alphax) (sqrt (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0)))) alphay)
(/ (+ (* -1/2 (* (/ (* alphax (+ (* -1 (/ (* (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))) (/ (* (pow alphax 8) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (pow (- 1 u0) 2))) (* (pow alphax 4) (pow u0 2)))) (+ (* -1 (/ (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (* (pow (- 1 u0) 3) (pow (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) 2))) (* (pow alphax 6) (pow u0 3)))) (* 1/4 (/ (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (* (pow (- 1 u0) 3) (pow (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) 2))) (* (pow alphax 6) (pow u0 3))))))) (pow alphay 4)) (sqrt (/ u0 (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))))) (+ (* -1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (* (pow alphax 3) (pow alphay 2))) (sqrt (/ (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (pow (- 1 u0) 3)) (pow u0 3))))) (* (/ 1 alphax) (sqrt (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0))))) alphay)
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(PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) 2))) (* (pow alphax 6) (pow u0 3))))))) (pow alphay 4)) (sqrt (/ u0 (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))))) (+ (* -1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (* (pow alphax 3) (pow alphay 2))) (sqrt (/ (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (pow (- 1 u0) 3)) (pow u0 3))))) (* (/ 1 alphax) (sqrt (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0)))))) alphay)
(* (* alphax alphay) (sqrt (/ u0 (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))))
(* alphay (+ (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (* alphax (pow alphay 2))) (sqrt (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0)))) (* alphax (sqrt (/ u0 (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))))))
(* alphay (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))) (+ (* 1/4 (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (- 1 u0) (pow (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) 2))) (* (pow alphax 2) u0))) (/ (* (pow alphax 8) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (* alphax (pow alphay 4))) (sqrt (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0)))) (+ (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (* alphax (pow alphay 2))) (sqrt (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0)))) (* alphax (sqrt (/ u0 (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0))))))))
(* alphay (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))) (+ (* -1/2 (/ (* (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))) (+ (* 1/4 (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (- 1 u0) (pow (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) 2))) (* (pow alphax 2) u0))) (/ (* (pow alphax 8) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (- 1 u0) (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))))))) (* (pow alphax 2) u0))) (+ (/ (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))) (/ (* (pow alphax 8) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))) (/ (* (pow alphax 12) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 10))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 10) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))))) (* alphax (pow alphay 6))) (sqrt (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0)))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))) (+ (* 1/4 (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (- 1 u0) (pow (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) 2))) (* (pow alphax 2) u0))) (/ (* (pow alphax 8) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (* alphax (pow alphay 4))) (sqrt (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0)))) (+ (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (* alphax (pow alphay 2))) (sqrt (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0)))) (* alphax (sqrt (/ u0 (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 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)))))
(+ (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))))))))))
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(* -1 (/ (- (+ (* -1 (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (* (pow alphax 8) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8)) (* (pow alphay 6) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8)))) (+ (* -1 (/ (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (/ (* (pow alphax 6) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6))))) alphay))
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(/ (* (pow alphax 8) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (pow (- 1 u0) 2))) (* (pow alphax 4) (pow u0 2)))) (+ (* -1 (/ (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (* (pow (- 1 u0) 3) (pow (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow 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(PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) 2))) (* (pow alphax 6) (pow u0 3))))))) (pow alphay 4)) (sqrt (/ u0 (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))))) (+ (* -1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (* (pow alphax 3) (pow alphay 2))) (sqrt (/ (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (pow (- 1 u0) 3)) (pow u0 3))))) (* (/ 1 alphax) (sqrt (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0)))))) alphay))
(* -1 (* (* alphax alphay) (sqrt (/ u0 (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0))))))
(* -1 (* alphay (+ (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (* alphax (pow alphay 2))) (sqrt (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0)))) (* alphax (sqrt (/ u0 (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0))))))))
(* -1 (* alphay (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))) (+ (* 1/4 (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (- 1 u0) (pow (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) 2))) (* (pow alphax 2) u0))) (/ (* (pow alphax 8) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (* alphax (pow alphay 4))) (sqrt (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0)))) (+ (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (* alphax (pow alphay 2))) (sqrt (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0)))) (* alphax (sqrt (/ u0 (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))))))))
(* -1 (* alphay (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))) (+ (* -1/2 (/ (* (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))) (+ (* 1/4 (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* 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u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (- 1 u0) (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))))))) (* (pow alphax 2) u0))) (+ (/ (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))) (/ (* 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Outputs
1
#s(literal 1 binary32)
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(+ 1 (* u0 (+ (* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))))))
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(+ 1 (* u0 (+ (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* u0 (+ (* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))))))))
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(* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)))
(/.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)))
(* u0 (+ (* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)))))
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(* u0 (+ (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* u0 (+ (* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)))))))
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(* u0 (+ (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* u0 (+ (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* u0 (+ (* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)))))))))
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(* -1/2 u0)
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(* u0 (- (* -1/2 u0) 1/2))
(*.f32 u0 (fma.f32 #s(literal -1/2 binary32) u0 #s(literal -1/2 binary32)))
(* u0 (- (* u0 (- (* -1/2 u0) 1/2)) 1/2))
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(* u0 (- (* u0 (- (* u0 (- (* -1/2 u0) 1/2)) 1/2)) 1/2))
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(* 2 (* u1 (PI)))
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(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
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(cos (* (PI) (+ 1/2 (* 2 u1))))
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(/ (sin (* (PI) (+ 1/2 (* 2 u1)))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
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(/ alphay (+ 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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(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
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(cos (* (PI) (- 1/2 (* -2 u1))))
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(* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))))
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(* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))))) (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))))
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(* (pow alphax 2) (+ (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8)) (* (pow alphay 6) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8)))) (* -1 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))))) (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))))
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(* (pow alphax 2) (pow alphay 2))
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alphay
(+ alphay (* -1 (/ (* (pow alphay 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
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(- (+ alphay (/ (* (pow alphay 5) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (/ (* (pow alphay 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))
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(- (+ alphay (* -1 (/ (* (pow alphay 7) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* (pow alphax 6) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))))) (+ (* -1 (/ (* (pow alphay 5) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (/ (* (pow alphay 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
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(+ 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 (+ (* -1 (/ (* (pow alphay 4) u0) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ (* (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 (+ (* -1 (/ (+ (* -1 (/ (* (pow alphay 6) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (* -1 (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (pow alphax 4))) (/ (* (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 4) u0) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))
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(* alphay (+ 1 (* -1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))
(.f32 alphay (+.f32 #s(literal 1 binary32) (neg.f32 (.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)))))))
(* alphay (+ 1 (* (pow alphay 2) (- (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
(.f32 alphay (+.f32 #s(literal 1 binary32) (.f32 (.f32 alphay alphay) (-.f32 (.f32 (/.f32 (.f32 alphay alphay) (pow.f32 alphax #s(literal 4 binary32))) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) u1)))) #s(literal 4 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) u1)))) #s(literal 4 binary32)))) (/.f32 (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 alphax alphax) (pow.f32 (cos.f32 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -2 binary32) u1)))) #s(literal 2 binary32))))))))
(* alphay (+ 1 (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* (pow alphax 6) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)))) (* -1 (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)))))) (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
(.f32 alphay (+.f32 #s(literal 1 binary32) (.f32 (.f32 alphay alphay) (fma.f32 (.f32 alphay alphay) (.f32 #s(literal -1 binary32) (-.f32 (.f32 (/.f32 (.f32 alphay alphay) (pow.f32 alphax #s(literal 6 binary32))) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) u1)))) #s(literal 6 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) u1)))) #s(literal 6 binary32)))) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) u1)))) #s(literal 4 binary32)) (.f32 (pow.f32 alphax #s(literal 4 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) u1)))) #s(literal 4 binary32)))))) (neg.f32 (/.f32 (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 alphax alphax) (pow.f32 (cos.f32 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) u1)))) #s(literal 2 binary32)))))))))
(+ 1 (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) u0) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ 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) (fma.f32 #s(literal -1 binary32) (/.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 alphax alphax)) (.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 4 binary32)) (-.f32 #s(literal 1 binary32) u0))) (/.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) (+ (* -1 (/ u0 (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))) (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))))))) (/ u0 (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ 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 alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))) (/ u0 (* (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))
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(* (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)))) (/ 1 (pow alphay 2))))
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(/ (+ (* -1 (/ (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) alphay)
(/.f32 (fma.f32 #s(literal -1 binary32) (.f32 (/.f32 (pow.f32 alphax #s(literal 4 binary32)) (.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) u1)))) #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 4 binary32)))) (/.f32 (.f32 (.f32 alphax alphax) (pow.f32 (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 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) u1)))) #s(literal 2 binary32)))) alphay)
(/ (- (+ (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (/ (* (pow alphax 6) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))) (/ (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) alphay)
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(/ (- (+ (* -1 (/ (* (pow alphax 8) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8)) (* (pow alphay 6) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8)))) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (+ (* -1 (/ (* (pow alphax 6) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))) (/ (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))))) alphay)
(/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (.f32 (/.f32 (pow.f32 alphax #s(literal 8 binary32)) (pow.f32 alphay #s(literal 6 binary32))) (/.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 (sin.f32 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) u1)))) #s(literal 8 binary32)))) (/.f32 (.f32 (.f32 alphax alphax) (pow.f32 (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 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) u1)))) #s(literal 2 binary32)))) (fma.f32 #s(literal -1 binary32) (.f32 (/.f32 (pow.f32 alphax #s(literal 6 binary32)) (pow.f32 alphay #s(literal 4 binary32))) (/.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 (sin.f32 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) u1)))) #s(literal 6 binary32)))) (.f32 (/.f32 (pow.f32 alphax #s(literal 4 binary32)) (.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) u1)))) #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 4 binary32)))))) alphay)
(/ (* (pow alphax 2) (* (pow alphay 2) u0)) (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))
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(* (pow alphay 2) (- (+ (/ 1 (pow alphay 2)) (/ (* (pow alphax 2) u0) (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))) (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))))))
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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 alphax alphax) (pow.f32 (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 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) u1)))) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))))))) alphay)
(* (* alphax alphay) (sqrt (/ u0 (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))))
(.f32 (.f32 alphax alphay) (sqrt.f32 (/.f32 (/.f32 u0 (fma.f32 (.f32 alphax alphax) (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 alphax alphax) (pow.f32 (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 (.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))))
(* alphay (+ (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (* alphax (pow alphay 2))) (sqrt (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0)))) (* alphax (sqrt (/ u0 (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))))))
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(* alphay (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))) (+ (* 1/4 (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (- 1 u0) (pow (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) 2))) (* (pow alphax 2) u0))) (/ (* (pow alphax 8) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (* alphax (pow alphay 4))) (sqrt (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0)))) (+ (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (* alphax (pow alphay 2))) (sqrt (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0)))) (* alphax (sqrt (/ u0 (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0))))))))
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#s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) u0)))))))
(* alphay (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))) (+ (* -1/2 (/ (* (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))) (+ (* 1/4 (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (- 1 u0) (pow (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) 2))) (* (pow alphax 2) u0))) (/ (* (pow alphax 8) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 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(* -1 (/ (+ (* -1 (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) alphay))
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(* -1 (/ (- (+ (* -1 (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* -1 (/ (* (pow alphax 6) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6))))) (* -1 (/ (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))))) alphay))
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(* -1 (/ (- (+ (* -1 (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (* (pow alphax 8) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8)) (* (pow alphay 6) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8)))) (+ (* -1 (/ (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (/ (* (pow alphax 6) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6))))) alphay))
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(* -1 (* (/ 1 (* alphax alphay)) (sqrt (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0))))
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(* -1 (* (* alphax alphay) (sqrt (/ u0 (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0))))))
(neg.f32 (.f32 (.f32 alphax alphay) (sqrt.f32 (/.f32 (/.f32 u0 (fma.f32 (.f32 alphax alphax) (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 alphax alphax) (pow.f32 (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 (.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 (* alphay (+ (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (* alphax (pow alphay 2))) (sqrt (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0)))) (* alphax (sqrt (/ u0 (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0))))))))
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(* -1 (* alphay (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))) (+ (* -1/2 (/ (* (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))) (+ (* 1/4 (/ (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (- 1 u0) (pow (- 1 (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) 2))) (* (pow alphax 2) u0))) (/ (* (pow alphax 8) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (* (+ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 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(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.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (/.f32 (.f32 (.f32 (pow.f32 alphax #s(literal 6 binary32)) u0) (pow.f32 (cos.f32 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) u1)))) #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 4 binary32))) (.f32 (pow.f32 (fma.f32 (.f32 alphax alphax) (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 alphax alphax) (pow.f32 (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 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) u1)))) #s(literal 2 binary32)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))) #s(literal 2 binary32))) (.f32 (.f32 alphax alphax) u0)) (/.f32 (/.f32 (.f32 (.f32 (pow.f32 alphax #s(literal 8 binary32)) u0) (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 (sin.f32 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) u1)))) #s(literal 6 binary32))) (.f32 (pow.f32 (fma.f32 (.f32 alphax alphax) (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 alphax alphax) (pow.f32 (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 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) u1)))) #s(literal 2 binary32)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (.f32 alphax (pow.f32 alphay #s(literal 4 binary32))))) (sqrt.f32 (.f32 (fma.f32 (.f32 alphax alphax) (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 alphax alphax) (pow.f32 (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 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) u1)))) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))) (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (/.f32 (.f32 (.f32 (pow.f32 alphax #s(literal 6 binary32)) u0) (pow.f32 (cos.f32 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) u1)))) #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 4 binary32))) (.f32 (pow.f32 (fma.f32 (.f32 alphax alphax) (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 alphax alphax) (pow.f32 (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 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) u1)))) #s(literal 2 binary32)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (.f32 alphax (.f32 alphay alphay)))) (sqrt.f32 (.f32 (fma.f32 (.f32 alphax alphax) (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 alphax alphax) (pow.f32 (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 (.f32 (PI.f32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) u1)))) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))) (.f32 alphax (sqrt.f32 (/.f32 (/.f32 u0 (fma.f32 (.f32 alphax alphax) (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 alphax alphax) (pow.f32 (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 (.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)))))))))

rewrite271.0ms (1.7%)

Memory

46.3MiB live, 196.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	143	1094
0	253	903
1	1006	850
2	6376	850
0	8085	848

Stop Event

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

Counts

34 → 556

Calls

Call 1

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

Outputs
(.f32 (fma.f32 (.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32))))
(.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1/8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 u1 u1) #s(literal 4 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 u1 #s(literal 1 binary32))))))
(/.f32 (-.f32 #s(literal 1/4 binary32) (pow.f32 (.f32 #s(literal 2 binary32) u1) #s(literal 2 binary32))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))
(/.f32 (neg.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32))) (neg.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32))))
(/.f32 (neg.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1/8 binary32))) (neg.f32 (fma.f32 (.f32 u1 u1) #s(literal 4 binary32) (-.f32 #s(literal 1/4 binary32) (.f32 u1 #s(literal 1 binary32))))))
(/.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))
(/.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1/8 binary32)) (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 (.f32 #s(literal 2 binary32) u1) #s(literal 2 binary32)) (.f32 u1 #s(literal 1 binary32)))))
(/.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1/8 binary32)) (fma.f32 (.f32 u1 u1) #s(literal 4 binary32) (-.f32 #s(literal 1/4 binary32) (.f32 u1 #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)) (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 u1) #s(literal 4 binary32) (-.f32 #s(literal 1/4 binary32) (.f32 u1 #s(literal 1 binary32)))) (fma.f32 #s(literal 8 binary32) (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1/8 binary32))))
(-.f32 (/.f32 (pow.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 2 binary32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32))))
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
(+.f32 (*.f32 #s(literal 2 binary32) u1) #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))))) (pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.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)))) alphax) #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 (pow.f32 (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.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)))) alphax) #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)) (pow.f32 (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.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)))) alphax) #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 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.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)))) alphax) #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 1/4 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.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)))) alphax) #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 1/4 binary32)))
(.f32 (pow.f32 #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 (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)))) alphax) #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 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.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)))) alphax) #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 (pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.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)))) alphax) #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)) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.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)))) alphax) #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)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.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)))) alphax) #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 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (neg.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.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)))) alphax) #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 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.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)))) alphax) #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 #s(literal 1 binary32) (neg.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.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)))) alphax) #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 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.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)))) alphax) #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))))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.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)))) alphax) #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))
(pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.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)))) alphax) #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))
(pow.f32 (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.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)))) alphax) #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 binary32))
(exp.f32 (.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.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)))) alphax) #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)))
(exp.f32 (.f32 (neg.f32 (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.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)))) alphax) #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 1/2 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.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)))) alphax) #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 #s(literal 1 binary32) (-.f32 (pow.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.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)))) alphax) #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 2 binary32)) #s(literal 1 binary32))) (-.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.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)))) alphax) #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 #s(literal 1 binary32) (+.f32 (pow.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.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)))) alphax) #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 3 binary32)) #s(literal 1 binary32))) (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.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)))) alphax) #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 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.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)))) alphax) #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 2 binary32))))
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(/.f32 #s(literal 1 binary32) (/.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)))))
(tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
(.f32 (+.f32 (tan.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))))))
(.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))
(/.f32 (neg.f32 (+.f32 (tan.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))
(/.f32 (neg.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (neg.f32 (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))
(/.f32 (+.f32 (tan.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
(/.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 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))))) (+.f32 (tan.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
(/.f32 #s(literal 1 binary32) (/.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)))))
(tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))

eval339.0ms (2.1%)

Memory: -10.7MiB live, 302.1MiB allocated
Compiler: Compiled 181 557 to 6 764 computations (96.3% saved)

prune161.0ms (1%)

Memory

-6.5MiB live, 154.4MiB allocated

Pruning

25 alts after pruning (20 fresh and 5 done)

	Pruned	Kept	Total
New	760	15	775
Fresh	6	5	11
Picked	3	2	5
Done	2	3	5
Total	771	25	796

Accuracy

100.0%

Counts

796 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.9%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 u0 #s(approx (+ ( (* (/ 1 (+ (pow (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)) 2) 1)) alphay) alphay) (pow (* alphax (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))))) 2)) (fma.f32 (.f32 alphax alphax) (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 alphay alphay)))) (pow.f32 (.f32 alphax alphay) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)))))
	94.1%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 u0 #s(approx (+ ( (* (/ 1 (+ (pow (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)) 2) 1)) alphay) alphay) (pow (* alphax (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))))) 2)) (.f32 (.f32 alphax alphax) (+.f32 (/.f32 (.f32 alphay alphay) (.f32 alphax alphax)) (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 (.f32 alphax alphay) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)))))
	68.6%	(/.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 (pow.f32 (.f32 (tan.f32 (+.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))) (.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.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 (*.f32 alphay alphay) #s(literal 2 binary32))))) u0) (-.f32 #s(literal 1 binary32) u0)))))
✓	99.4%	(/.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 (pow.f32 (.f32 (tan.f32 (+.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 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)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
✓	90.5%	(/.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 (pow.f32 (.f32 (tan.f32 (+.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 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 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) (.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
	94.0%	(/.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 (pow.f32 (.f32 (tan.f32 #s(approx (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 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)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
	98.0%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* alphax alphax)) (/ (* (sin (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 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)))))
	47.5%	(/.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (+ (/ (/ 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) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (.f32 alphax alphax) (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))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))))
	96.7%	(/.f32 #s(literal 1 binary32) #s(approx (sqrt (+ (/ (/ 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)) (+.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))))))
	46.3%	(/.f32 #s(literal 1 binary32) #s(approx (sqrt (+ (/ (/ 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)) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 alphax alphax) u0)) (.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 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
	60.6%	(.f32 (pow.f32 (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (cos.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)))) alphax) #s(literal 2 binary32)) (pow.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) #s(literal 2 binary32)))) #s(literal 1 binary32))) #s(literal -1/2 binary32)) (pow.f32 (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (cos.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)))) alphax) #s(literal 2 binary32)) (pow.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) #s(literal 2 binary32)))) #s(literal 1 binary32))) #s(literal -1/2 binary32)))
	99.1%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ u0 (+ (* (* (/ 1 (+ (pow (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)) 2) 1)) alphay) alphay) (pow (* alphax (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))))) 2))) (pow (* alphax alphay) 2)) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (.f32 alphay alphay) (+.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)) (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 (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 u0 (-.f32 #s(literal 1 binary32) u0)))))))
	58.5%	#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))))) (+.f32 (.f32 (/.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (pow.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) #s(literal -2 binary32))) #s(literal 1 binary32)))
	26.6%	#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 (.f32 (.f32 (/.f32 (.f32 #s(literal -1/2 binary32) u0) (-.f32 #s(literal 1 binary32) (pow.f32 u0 #s(literal 3 binary32)))) (+.f32 (fma.f32 u0 u0 u0) #s(literal 1 binary32))) (pow.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) #s(literal -2 binary32))) #s(literal 1 binary32)))
✓	58.5%	#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))))) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (pow.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) #s(literal -2 binary32))) #s(literal 1 binary32)))
	76.4%	#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 (.f32 (.f32 #s(literal -1/2 binary32) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (.f32 (/.f32 (.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (cos.f32 (.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 2 binary32))) #s(literal 1 binary32)))
	59.2%	#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))))) (+.f32 (.f32 #s(approx ( -1/2 (/ u0 (- 1 u0))) (.f32 #s(literal -1/2 binary32) u0)) (pow.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) #s(literal -2 binary32))) #s(literal 1 binary32)))
	95.5%	#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))))) (+.f32 #s(approx (* (* -1/2 (/ u0 (- 1 u0))) (pow (/ (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphay) -2)) (/.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)))) #s(literal 1 binary32)))
	96.8%	#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))))) (+.f32 #s(approx (* (* -1/2 (/ u0 (- 1 u0))) (pow (/ (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphay) -2)) (/.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)))) #s(literal 1 binary32)))
	39.7%	#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))))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 alphax alphax) u0)) (.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 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
✓	99.1%	#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) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) 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) (+.f32 (.f32 u1 #s(literal 2 binary32)) #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)))))
	99.9%	#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) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (+.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 2 binary32)) (.f32 alphax alphax)) (/.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 alphay alphay)))) (-.f32 #s(literal 1 binary32) u0))))))
	98.5%	#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) (+.f32 #s(literal 1 binary32) (.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 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))))
	5.4%	#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 #s(approx (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1)) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (neg.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))))
✓	92.7%	#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(literal 1 binary32))

Compiler

Compiled 8 448 to 2 029 computations (76% saved)

regimes262.0ms (1.6%)

Memory

17.4MiB live, 325.0MiB allocated

Counts

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

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))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (+.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 2 binary32)) (*.f32 alphax alphax)) (/.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 alphay alphay)))) (-.f32 #s(literal 1 binary32) u0))))))

Calls

13 calls:

45.0ms	(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
40.0ms	(/.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))))
21.0ms	alphay
17.0ms	u1
17.0ms	u0

Results

Accuracy	Segments	Branch
99.9%	1	`u0`
99.9%	1	`u1`
99.9%	1	`alphax`
99.9%	1	`alphay`
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	(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) (/.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 (.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 (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 (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	`(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 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
99.9%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`

Compiler

Compiled 522 to 219 computations (58% saved)

regimes205.0ms (1.3%)

Memory

9.4MiB live, 332.4MiB allocated

Counts

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

Outputs

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

Calls

13 calls:

29.0ms	(/.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))))
21.0ms	(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
16.0ms	alphay
16.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)
16.0ms	u1

Results

Accuracy	Segments	Branch
99.4%	1	`u0`
99.4%	1	`u1`
99.4%	1	`alphax`
99.4%	1	`alphay`
99.4%	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)))))
99.4%	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))))
99.4%	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)))
99.4%	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))
99.4%	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))))
99.4%	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)))
99.4%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
99.4%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
99.4%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`

Compiler

Compiled 522 to 219 computations (58% saved)

regimes140.0ms (0.9%)

Memory

-13.6MiB live, 307.9MiB allocated

Counts

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

Calls

13 calls:

12.0ms	alphax
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))))
11.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)
10.0ms	u0

Results

Accuracy	Segments	Branch
98.5%	1	`u0`
98.5%	1	`u1`
98.5%	1	`alphax`
98.5%	1	`alphay`
98.5%	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)))))
98.5%	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))))
98.5%	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)))
98.5%	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))
98.5%	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))))
98.5%	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)))
98.5%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
98.5%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
98.5%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`

Compiler

Compiled 522 to 219 computations (58% saved)

regimes73.0ms (0.5%)

Memory

-7.5MiB live, 153.5MiB allocated

Counts

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

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

Calls

13 calls:

7.0ms	u0
6.0ms	u1
6.0ms	(+.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)))
6.0ms	(/.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 (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
96.8%	1	`u0`
96.8%	1	`alphax`
96.8%	1	`alphay`
96.8%	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))))
96.8%	1	`u1`
96.8%	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)))))
96.8%	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))))
96.8%	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)))
96.8%	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))
96.8%	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)))
96.8%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
96.8%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
96.8%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`

Compiler

Compiled 522 to 219 computations (58% saved)

regimes106.0ms (0.7%)

Memory

-0.9MiB live, 78.7MiB allocated

Counts

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

Calls

13 calls:

65.0ms	(/.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 (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 #s(literal 2 binary32) (PI.f32)) u1)
3.0ms	(/.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)))))

Results

Accuracy	Segments	Branch
95.5%	1	`alphay`
95.5%	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)))))
95.5%	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))))
95.5%	1	`u0`
95.5%	1	`u1`
95.5%	1	`alphax`
95.5%	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))))
95.5%	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)))
95.5%	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))
95.5%	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)))
95.5%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
95.5%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
95.5%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`

Compiler

Compiled 522 to 219 computations (58% saved)

regimes64.0ms (0.4%)

Memory

13.8MiB live, 51.5MiB allocated

Accuracy

Total -14.6b remaining (-623.2%)

Threshold costs -14.6b (-623.2%)

Counts

6 → 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))))) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (.f32 (/.f32 (.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (cos.f32 (.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 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))))) (+.f32 (.f32 #s(approx ( -1/2 (/ u0 (- 1 u0))) (.f32 #s(literal -1/2 binary32) u0)) (pow.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) #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))))) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (pow.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) #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))))) (+.f32 (.f32 (/.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (pow.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) #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))))) (+.f32 (.f32 (.f32 (/.f32 (.f32 #s(literal -1/2 binary32) u0) (-.f32 #s(literal 1 binary32) (pow.f32 u0 #s(literal 3 binary32)))) (+.f32 (fma.f32 u0 u0 u0) #s(literal 1 binary32))) (pow.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) #s(literal -2 binary32))) #s(literal 1 binary32)))

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:

31.0ms	(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))))
3.0ms	(/.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	(/.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)))))

Results

Accuracy	Segments	Branch
92.7%	1	`u0`
92.7%	1	`u1`
92.7%	1	`alphax`
92.7%	1	`alphay`
92.7%	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)))))
92.7%	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))))
92.7%	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)))
92.7%	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))
92.7%	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))))
92.7%	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)))
92.7%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
92.7%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
92.7%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`

Compiler

Compiled 522 to 219 computations (58% saved)

simplify124.0ms (0.8%)

Memory

-8.4MiB live, 29.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	759
1	152	759
2	166	759
3	174	759
4	179	759
5	180	759

Stop Event

1×

saturated

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

soundness967.0ms (6%)

Memory

-11.6MiB live, 523.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	1041
0	170	901
1	699	685
2	6674	685
0	8056	683
0	32	315
0	57	210
1	228	193
2	2076	193
0	8656	183
0	2833	113393
0	9085	112234
0	523	15296
1	1747	12736
0	8114	11871
0	132	1045
0	232	774
1	945	752
2	6049	752
0	8432	752
0	1682	53370
1	6588	53190
0	8099	49668

Stop Event

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

Compiler

Compiled 1 457 to 354 computations (75.7% saved)

preprocess61.0ms (0.4%)

Memory: 7.1MiB live, 126.9MiB allocated
Compiler: Compiled 1 694 to 298 computations (82.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.3s (8.4%)

sample4.2s (26.2%)

explain471.0ms (2.9%)

preprocess176.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify138.0ms (0.9%)

localize95.0ms (0.6%)

series155.0ms (1%)

simplify191.0ms (1.2%)

rewrite193.0ms (1.2%)

eval124.0ms (0.8%)

prune55.0ms (0.3%)

simplify189.0ms (1.2%)

localize418.0ms (2.6%)

series534.0ms (3.3%)

simplify708.0ms (4.4%)

rewrite176.0ms (1.1%)

eval271.0ms (1.7%)

prune50.0ms (0.3%)

simplify148.0ms (0.9%)

localize549.0ms (3.4%)

series400.0ms (2.5%)

simplify322.0ms (2%)

rewrite276.0ms (1.7%)

eval232.0ms (1.4%)

prune55.0ms (0.3%)

simplify151.0ms (0.9%)

localize606.0ms (3.8%)

series564.0ms (3.5%)

simplify526.0ms (3.3%)

rewrite271.0ms (1.7%)

eval339.0ms (2.1%)

prune161.0ms (1%)

regimes262.0ms (1.6%)

regimes205.0ms (1.3%)

regimes140.0ms (0.9%)

regimes73.0ms (0.5%)

regimes106.0ms (0.7%)

regimes64.0ms (0.4%)

simplify124.0ms (0.8%)

soundness967.0ms (6%)

preprocess61.0ms (0.4%)

end0.0ms (0%)

Profiling