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

analyze1.2s (4.8%)

Memory

12.4MiB live, 2 278.4MiB 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)

sample4.0s (15.6%)

Memory

25.2MiB live, 6 016.4MiB allocated

Samples

3.3s

8 256×

valid

Precisions

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

ival-mult: 777.0ms (26% of total)

ival-div: 360.0ms (12% of total)

ival-cos: 344.0ms (11.5% of total)

ival-tan: 308.0ms (10.3% of total)

ival-sin: 295.0ms (9.9% of total)

const: 248.0ms (8.3% of total)

ival-<=: 238.0ms (8% of total)

ival-atan: 122.0ms (4.1% of total)

ival-add: 116.0ms (3.9% of total)

ival-sqrt: 55.0ms (1.8% of total)

ival-and: 41.0ms (1.4% of total)

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

ival-pi: 31.0ms (1% of total)

exact: 13.0ms (0.4% of total)

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

Bogosity

preprocess328.0ms (1.3%)

Memory

-7.6MiB live, 438.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 836×	`lower-fma.f64`
9 836×	`lower-fma.f32`
3 312×	`lower-*.f64`
3 294×	`lower-*.f32`
1 908×	`unsub-neg`

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

explain824.0ms (3.2%)

Memory

22.1MiB live, 773.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
191	2	(2.8609290492198625e-9 0.001215134165249765 0.8345946073532104 0.09443487972021103)	10	(4.9263353503192775e-6 0.0053572566248476505 0.0006344622815959156 0.001136649982072413)	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
188	5	(0.3031099736690521 1.657433676882647e-5 0.07606732100248337 0.0015172908315435052)	4	(8.955245989206162e-10 0.0649869367480278 0.02549745701253414 0.6807724237442017)	`(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))`
0	0	-	0	-	(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
0	0	-	0	-	`(*.f32 alphax alphax)`
0	0	-	0	-	`(.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))`
0	0	-	0	-	`(PI.f32)`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`(/.f32 alphay alphax)`
0	0	-	0	-	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
0	0	-	0	-	`#s(literal 1/2 binary32)`
0	0	-	0	-	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
0	0	-	0	-	`(-.f32 #s(literal 1 binary32) u0)`
0	0	-	0	-	`u1`
0	0	-	0	-	`(*.f32 #s(literal 1/2 binary32) (PI.f32))`
0	0	-	0	-	`alphax`
0	0	-	0	-	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
0	0	-	0	-	`u0`
0	0	-	0	-	`(.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))`
0	0	-	0	-	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`
0	0	-	0	-	`(sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))`
0	0	-	0	-	`(*.f32 alphay alphay)`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0)
0	0	-	0	-	`(atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))`
0	0	-	0	-	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
0	0	-	0	-	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
0	0	-	0	-	`(/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))`
0	0	-	0	-	`(.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))`
0	0	-	0	-	`alphay`
0	0	-	0	-	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
0	0	-	0	-	`(/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax))`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) (PI.f32))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f32`	`(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))`	sensitivity	189	13
`tan.f32`	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`	cancellation	183	13

Confusion

	Predicted +	Predicted -
+	2	0
-	206	48

Precision

0.009615384615384616

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	0
-	206	12	36

Precision?

0.00909090909090909

Recall?

1.0

Freqs

test

number	freq
0	48
1	44
2	164

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

254.0ms

512×

valid

Compiler

Compiled 1 836 to 132 computations (92.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 177.0ms

ival-tan: 44.0ms (24.9% of total)

ival-mult: 40.0ms (22.6% of total)

ival-sin: 37.0ms (20.9% of total)

ival-div: 19.0ms (10.7% of total)

ival-cos: 15.0ms (8.5% of total)

ival-add: 7.0ms (4% of total)

ival-atan: 6.0ms (3.4% of total)

ival-sub: 3.0ms (1.7% of total)

ival-sqrt: 3.0ms (1.7% of total)

ival-pi: 2.0ms (1.1% of total)

ival-true: 1.0ms (0.6% of total)

exact: 1.0ms (0.6% of total)

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(/.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 (+.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

▶

99.2%

(/.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 (+.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 92 to 32 computations (65.2% saved)

simplify306.0ms (1.2%)

Memory

-11.6MiB live, 326.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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	192	(/.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	224	(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))

Rules

9 836×	`lower-fma.f64`
9 836×	`lower-fma.f32`
3 312×	`lower-*.f64`
3 294×	`lower-*.f32`
1 908×	`unsub-neg`

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

localize201.0ms (0.8%)

Memory

5.2MiB live, 322.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)
✓	accuracy	98.4%	(.f32 (cos.f32 (atan.f32 (.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	62.3%	(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
✓	accuracy	60.9%	(cos.f32 (atan.f32 (.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

131.0ms

256×

valid

Compiler

Compiled 826 to 34 computations (95.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-cos: 40.0ms (34.8% of total)

ival-mult: 36.0ms (31.3% of total)

ival-div: 10.0ms (8.7% of total)

ival-sin: 9.0ms (7.8% of total)

ival-tan: 9.0ms (7.8% of total)

ival-atan: 4.0ms (3.5% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

series119.0ms (0.5%)

Memory

-26.6MiB live, 179.6MiB allocated

Counts

8 → 240

Calls

Call 1

Inputs
#<alt (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))>
#<alt (/.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))>
#<alt (.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)>
#<alt (+.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)))>
#<alt (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))>
#<alt (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))>
#<alt (.f32 (cos.f32 (atan.f32 (.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))))))))>
#<alt (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)>

Outputs
#<alt (* 1/2 (PI))>
#<alt (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))>
#<alt (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))>
#<alt (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))>
#<alt (* 2 (* u1 (PI)))>
#<alt (* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))>
#<alt (* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))>
#<alt (* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))>
#<alt (* 2 (* u1 (PI)))>
#<alt (* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))>
#<alt (* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))>
#<alt (* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))>
#<alt (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))>
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#<alt (* 2 (* u1 (PI)))>

Calls

60 calls:

Time	Variable		Point	Expression
30.0ms	u1	@	inf	(tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))
13.0ms	u0	@	0	(* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0)
10.0ms	u1	@	-inf	(/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))
5.0ms	u1	@	-inf	(* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0)
5.0ms	alphax	@	inf	(/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))

simplify493.0ms (1.9%)

Memory

3.7MiB live, 474.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10 506×	`lower-fma.f64`
10 506×	`lower-fma.f32`
8 346×	`lower-*.f64`
8 346×	`lower-*.f32`
2 942×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	318	11442
1	1035	10429
2	4377	10424
0	8516	9893

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

rewrite571.0ms (2.2%)

Memory

16.9MiB live, 655.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 612×	`lower-/.f64`
5 602×	`lower-/.f32`
4 382×	`lower-fma.f64`
4 382×	`lower-fma.f32`
4 086×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	310
0	51	205
1	204	189
2	1855	189
0	8810	179

Stop Event

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

Counts

8 → 382

Calls

Call 1

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

eval272.0ms (1.1%)

Memory: -8.6MiB live, 385.2MiB allocated
Compiler: Compiled 84 407 to 5 881 computations (93% saved)

prune111.0ms (0.4%)

Memory

9.7MiB live, 325.3MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	940	5	945
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	941	5	946

Accuracy

99.3%

Counts

946 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32))))))))) (.f32 (.f32 alphay alphay) #s(literal 2 binary32))))))))
▶	99.3%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 u0 (fma.f32 (.f32 alphax alphax) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))))))))) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (.f32 alphay alphay)))) (.f32 alphax (.f32 alphax (*.f32 alphay alphay)))) (-.f32 #s(literal 1 binary32) u0)))))
▶	99.3%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32))))))))) (.f32 (*.f32 alphay alphay) #s(literal 2 binary32)))))))))
▶	49.2%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphax alphax)) (.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32))))))))
▶	97.2%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))))

Compiler

Compiled 538 to 300 computations (44.2% saved)

simplify345.0ms (1.4%)

Memory

-8.1MiB live, 721.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	64	(+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32))))))))) (.f32 (.f32 alphay alphay) #s(literal 2 binary32))))
✓	cost-diff	160	(fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))
✓	cost-diff	192	(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32))))))))) (.f32 (.f32 alphay alphay) #s(literal 2 binary32)))))
✓	cost-diff	256	(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (.f32 alphax alphax))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32))))))))) (.f32 (*.f32 alphay alphay) #s(literal 2 binary32)))))))))
✓	cost-diff	64	(+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32))))))))) (.f32 (.f32 alphay alphay) #s(literal 2 binary32))))
✓	cost-diff	160	(fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))
✓	cost-diff	256	(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (.f32 alphax alphax))
✓	cost-diff	0	#s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphax alphax)) (.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)))))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphax alphax)) (.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32))))))
✓	cost-diff	0	(sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphax alphax)) (.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)))))))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphax alphax)) (.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32))))))))
✓	cost-diff	0	#s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
✓	cost-diff	0	(sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #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) #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) (- 1 u0)) (/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #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 alphax alphax) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))))))))) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (.f32 alphay alphay)))) (.f32 alphax (.f32 alphax (*.f32 alphay alphay)))) (-.f32 #s(literal 1 binary32) u0)))
✓	cost-diff	160	(.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (*.f32 alphay alphay))
✓	cost-diff	160	(fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))
✓	cost-diff	192	(/.f32 (.f32 (/.f32 u0 (fma.f32 (.f32 alphax alphax) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))))))))) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (.f32 alphay alphay)))) (.f32 alphax (.f32 alphax (*.f32 alphay alphay)))) (-.f32 #s(literal 1 binary32) u0))

Rules

8 282×	`lower-fma.f64`
8 276×	`lower-fma.f32`
4 182×	`lower-*.f64`
4 142×	`lower-*.f32`
3 400×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	2872
0	166	2856
1	296	2408
2	654	2408
3	1792	2408
4	4204	2408
5	7900	2408
0	8808	2373

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

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

localize532.0ms (2.1%)

Memory

23.0MiB live, 1 255.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(*.f32 (PI.f32) u1)
✓	accuracy	98.6%	(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))))))))
✓	accuracy	98.5%	(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 2 binary32))
✓	accuracy	62.3%	(tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32))))
✓	accuracy	98.9%	(*.f32 (PI.f32) u1)
✓	accuracy	98.6%	(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))))))))
✓	accuracy	98.5%	(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 2 binary32))
✓	accuracy	62.3%	(tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32))))
✓	accuracy	98.4%	(pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32))
✓	accuracy	62.3%	(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
✓	accuracy	60.9%	(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax))))
✓	accuracy	15.8%	#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) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphax alphax)) (.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)))))
✓	accuracy	98.9%	(.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax))
✓	accuracy	98.8%	(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
✓	accuracy	80.8%	#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) (- 1 u0)) (/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
✓	accuracy	62.3%	(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
✓	accuracy	98.9%	(*.f32 (PI.f32) u1)
✓	accuracy	98.6%	(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))))))))
✓	accuracy	98.5%	(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 2 binary32))
✓	accuracy	62.3%	(tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32))))

Samples

220.0ms

256×

valid

Compiler

Compiled 2 763 to 92 computations (96.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 182.0ms

ival-mult: 48.0ms (26.4% of total)

ival-div: 29.0ms (15.9% of total)

ival-tan: 25.0ms (13.7% of total)

ival-cos: 22.0ms (12.1% of total)

ival-sin: 17.0ms (9.3% of total)

ival-add: 13.0ms (7.1% of total)

ival-atan: 8.0ms (4.4% of total)

ival-sqrt: 8.0ms (4.4% of total)

ival-pow2: 8.0ms (4.4% of total)

ival-sub: 3.0ms (1.6% of total)

ival-pi: 1.0ms (0.5% of total)

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

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

exact: 0.0ms (0% of total)

series440.0ms (1.7%)

Memory

3.6MiB live, 882.6MiB allocated

Counts

26 → 960

Calls

Call 1

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

Calls

240 calls:

Time	Variable		Point	Expression
24.0ms	u1	@	0	(/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2))))))))
21.0ms	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)))))
14.0ms	u0	@	inf	(/ (* (/ u0 (+ (* (* alphax alphax) (+ 1/2 (* -1/2 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))))) (* (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphay alphay)))) (* alphax (* alphax (* alphay alphay)))) (- 1 u0))
14.0ms	u1	@	0	(/ (* (/ u0 (+ (* (* alphax alphax) (+ 1/2 (* -1/2 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))))) (* (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphay alphay)))) (* alphax (* alphax (* alphay alphay)))) (- 1 u0))
13.0ms	u1	@	0	(/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2))))

simplify880.0ms (3.4%)

Memory

40.8MiB live, 1 524.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 518×	`lower-*.f64`
6 518×	`lower-*.f32`
3 984×	`lower-fma.f64`
3 984×	`lower-fma.f32`
3 518×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2098	133276
1	6615	132757
0	8111	124789

Stop Event

1×	iter limit
1×	node limit

Counts

960 → 960

Calls

Call 1

Inputs
(/ (* (pow alphax 2) (* (pow alphay 2) u0)) (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))))
(* u0 (+ (/ (* (pow alphax 2) (* (pow alphay 2) u0)) (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))))) (/ (* (pow alphax 2) (pow alphay 2)) (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))))))
(* u0 (+ (* u0 (- (/ (* (pow alphax 2) (* (pow alphay 2) u0)) (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))))) (* -1 (/ (* (pow alphax 2) (pow alphay 2)) (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))))))) (/ (* (pow alphax 2) (pow alphay 2)) (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))))))
(* u0 (+ (* u0 (- (* u0 (- (/ (* (pow alphax 2) (* (pow alphay 2) u0)) (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))))) (* -1 (/ (* (pow alphax 2) (pow alphay 2)) (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))))))) (* -1 (/ (* (pow alphax 2) (pow alphay 2)) (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))))))) (/ (* (pow alphax 2) (pow alphay 2)) (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))))))
(* -1 (/ (* (pow alphax 2) (pow alphay 2)) (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))))))
(+ (* -1 (/ (* (pow alphax 2) (pow alphay 2)) (* u0 (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))))))) (* -1 (/ (* (pow alphax 2) (pow alphay 2)) (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))))))
(- (+ (* -1 (/ (* (pow alphax 2) (pow alphay 2)) (* (pow u0 2) (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))))))) (* -1 (/ (* (pow alphax 2) (pow alphay 2)) (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))))))) (/ (* (pow alphax 2) (pow alphay 2)) (* u0 (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))))))
(- (+ (* -1 (/ (* (pow alphax 2) (pow alphay 2)) (* (pow u0 3) (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))))))) (* -1 (/ (* (pow alphax 2) (pow alphay 2)) (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))))))) (+ (/ (* (pow alphax 2) (pow alphay 2)) (* u0 (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))))) (/ (* (pow alphax 2) (pow alphay 2)) (* (pow u0 2) (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))))))))
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(/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))) (- 1 u0)))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) u0) (* (pow alphax 2) (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))) 2) (- 1 u0))))) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))) (- 1 u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ u0 (* (pow alphax 4) (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))) 3) (- 1 u0))))) (* -1 (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))) 2) (- 1 u0))))))))) (/ u0 (* (pow alphax 2) (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))) 2) (- 1 u0)))))) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))) (- 1 u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (+ (* -1 (/ u0 (* (pow alphax 4) (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))) 3) (- 1 u0))))) (* -1 (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))) 2) (- 1 u0))))))) (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))))) (+ (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 6) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))) 3) (- 1 u0))))) (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphax 6) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))) 2) (- 1 u0))))))))) (+ (* -1 (/ u0 (* (pow alphax 4) (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))) 3) (- 1 u0))))) (* -1 (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))) 2) (- 1 u0))))))))) (/ u0 (* (pow alphax 2) (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))) 2) (- 1 u0)))))) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))) (- 1 u0)))))
(/ (* (pow alphax 2) (* (pow alphay 2) u0)) (* (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (- 1 u0)))
(* (pow alphay 2) (+ (/ (* (pow alphax 2) u0) (* (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (- 1 u0))) (/ (* (pow alphax 6) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 2) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 2) (- 1 u0)))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 3) (- 1 u0))))) (/ (* (pow alphax 8) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 2) (- 1 u0))))) (pow alphay 4))) (/ (* (pow alphax 2) u0) (* (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (- 1 u0)))) (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 2) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 2) (- 1 u0))))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 2) (- 1 u0))))) (+ (/ (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 3) (- 1 u0))))) (/ (* (pow alphax 8) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 2) (- 1 u0))))))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))) (/ (* (pow alphax 12) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 10))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 10) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 3) (- 1 u0)))))) (pow alphay 6))) (/ (* (pow alphax 2) u0) (* (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (- 1 u0)))) (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 2) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow alphay 4) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 3) (- 1 u0)))))) (/ (* (pow alphax 8) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow alphay 4) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 2) (- 1 u0)))))))))
(/ (* (pow alphax 2) (* (pow alphay 2) u0)) (* (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (- 1 u0)))
(* (pow alphay 2) (+ (/ (* (pow alphax 2) u0) (* (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (- 1 u0))) (/ (* (pow alphax 6) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 2) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 2) (- 1 u0)))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 3) (- 1 u0))))) (/ (* (pow alphax 8) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 2) (- 1 u0))))) (pow alphay 4))) (/ (* (pow alphax 2) u0) (* (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (- 1 u0)))) (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 2) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 2) (- 1 u0))))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 2) (- 1 u0))))) (+ (/ (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 3) (- 1 u0))))) (/ (* (pow alphax 8) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 2) (- 1 u0))))))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))) (/ (* (pow alphax 12) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 10))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 10) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 3) (- 1 u0)))))) (pow alphay 6))) (/ (* (pow alphax 2) u0) (* (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (- 1 u0)))) (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 2) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow alphay 4) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 3) (- 1 u0)))))) (/ (* (pow alphax 8) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow alphay 4) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 2) (- 1 u0)))))))))
(/ (* (pow alphax 2) (* (pow alphay 2) u0)) (* (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (- 1 u0)))
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(/ (* (pow alphax 2) (* (pow alphay 2) u0)) (* (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))) (- 1 u0)))
(/ (* (pow alphax 2) (* (pow alphay 2) u0)) (* (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))) (- 1 u0)))
(/ (* (pow alphax 2) (* (pow alphay 2) u0)) (* (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))) (- 1 u0)))
(/ (* (pow alphax 2) (* (pow alphay 2) u0)) (* (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))) (- 1 u0)))
(/ (* (pow alphax 2) (* (pow alphay 2) u0)) (* (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))) (- 1 u0)))
(/ (* (pow alphax 2) (* (pow alphay 2) u0)) (* (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))) (- 1 u0)))
(/ (* (pow alphax 2) (* (pow alphay 2) u0)) (* (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))) (- 1 u0)))
(/ (* (pow alphax 2) (* (pow alphay 2) u0)) (* (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))) (- 1 u0)))
(* 1/2 (PI))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(* 2 (* u1 (PI)))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(* 2 (* u1 (PI)))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(pow alphay 2)
(* (pow alphay 2) (+ 1 (* -1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))))
(* (pow alphay 2) (+ 1 (* (pow alphay 2) (- (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphax 4) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (/ (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))))
(* (pow alphay 2) (+ 1 (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6)) (* (pow alphax 6) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6)))) (* -1 (/ (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow alphax 4) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)))))) (/ (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))))
(/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))
(+ (* -1 (/ (* (pow alphax 4) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))
(- (+ (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (/ (* (pow alphax 6) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6)) (* (pow alphay 4) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6)))) (/ (* (pow alphax 4) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))))
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(/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))
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(/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))
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(pow alphay 2)
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(pow alphay 2)
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(/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))
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(/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))
(/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))
(/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))
(/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))
(/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))
(/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))
(/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))
(/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))
1
(+ 1 (/ (* (pow alphax 2) (* (pow alphay 2) u0)) (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))))))
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(/ (* (pow alphax 2) (* (pow alphay 2) u0)) (* (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (- 1 u0)))
(* (pow alphay 2) (- (+ (/ 1 (pow alphay 2)) (/ (* (pow alphax 2) u0) (* (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (- 1 u0)))) (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 2) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 2) (- 1 u0))))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 3) (- 1 u0))))) (/ (* (pow alphax 8) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 2) (- 1 u0))))) (pow alphay 4))) (+ (/ 1 (pow alphay 2)) (/ (* (pow alphax 2) u0) (* (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (- 1 u0))))) (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 2) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 2) (- 1 u0))))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 2) (- 1 u0))))) (+ (/ (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 3) (- 1 u0))))) (/ (* (pow alphax 8) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 2) (- 1 u0))))))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))) (/ (* (pow alphax 12) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 10))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 10) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 3) (- 1 u0)))))) (pow alphay 6))) (+ (/ 1 (pow alphay 2)) (/ (* (pow alphax 2) u0) (* (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (- 1 u0))))) (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 2) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow alphay 4) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 3) (- 1 u0)))))) (/ (* (pow alphax 8) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow alphay 4) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 2) (- 1 u0)))))))))
(/ (* (pow alphax 2) (* (pow alphay 2) u0)) (* (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (- 1 u0)))
(* (pow alphay 2) (- (+ (/ 1 (pow alphay 2)) (/ (* (pow alphax 2) u0) (* (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (- 1 u0)))) (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 2) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 2) (- 1 u0))))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 3) (- 1 u0))))) (/ (* (pow alphax 8) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 2) (- 1 u0))))) (pow alphay 4))) (+ (/ 1 (pow alphay 2)) (/ (* (pow alphax 2) u0) (* (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (- 1 u0))))) (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 2) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 2) (- 1 u0))))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 2) (- 1 u0))))) (+ (/ (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 3) (- 1 u0))))) (/ (* (pow alphax 8) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 2) (- 1 u0))))))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))) (/ (* (pow alphax 12) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 10))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 10) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 3) (- 1 u0)))))) (pow alphay 6))) (+ (/ 1 (pow alphay 2)) (/ (* (pow alphax 2) u0) (* (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (- 1 u0))))) (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 2) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow alphax 10) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow alphay 4) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 3) (- 1 u0)))))) (/ (* (pow alphax 8) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow alphay 4) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (* (pow (+ (* (pow alphax 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 2) (- 1 u0)))))))))
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1
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1
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(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))
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(* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))
(* (pow alphax 2) (+ (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0))))))) (/ (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))
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(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))
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(- (+ (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0))))) (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0)))))
(- (+ (* -1 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 8) (- 1 u0))))) (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) (+ (* -1 (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0))))) (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0))))))
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(/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))
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(/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))
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(* u0 (+ (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))))))
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1
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1
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1
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(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))
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(* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))
(* (pow alphax 2) (+ (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0))))))) (/ (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))
(+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0))))) (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0))))
(- (+ (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0))))) (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0)))))
(- (+ (* -1 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 8) (- 1 u0))))) (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) (+ (* -1 (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0))))) (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0))))))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))
(+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0))))) (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0))))
(- (+ (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0))))) (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0)))))
(- (+ (* -1 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 8) (- 1 u0))))) (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) (+ (* -1 (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0))))) (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0))))))
(/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))
(/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))
(/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))
(/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))
(/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))
(/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))
(/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))
(/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))
(/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))
(/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))
(/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))
(/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))
(/ u0 (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))))
(* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))))))
(* u0 (+ (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))))))
(* u0 (+ (* u0 (+ (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))))))
(/ -1 (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))))
(* -1 (+ (/ 1 (* u0 (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))))))
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(/ -1 (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))))
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(/ 1 (pow alphax 2))
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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)))
(/ (+ (* -1 (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (pow alphay 2))
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(/ (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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(- (* -1 (/ (+ (/ 1 (* u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))) (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))))))) (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))) (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))))))) u0)) (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))) (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))))))
(- (* -1 (/ (+ (/ 1 (* u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))) (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))))))) (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))) (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))))))) (pow u0 2))) (+ (/ 1 (* u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))) (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))))))) (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))) (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))))))))
(/ -1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))) (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))))))
(* -1 (+ (/ 1 (* u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))) (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))))))) (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))) (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))))))))
(- (* -1 (/ (+ (/ 1 (* u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))) (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))))))) (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))) (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))))))) u0)) (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))) (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))))))
(- (* -1 (/ (+ (/ 1 (* u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))) (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))))))) (+ (/ 1 (* (pow u0 2) (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))) (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))))))) (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))) (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))))))) u0)) (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))) (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))))))
(* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))))
(* (pow alphay 2) (+ (* -4 (/ (* (pow alphay 2) (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))))) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))) 2)))) (* 2 (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))))))))
(* (pow alphay 2) (+ (* 2 (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))))) (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -8 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))) 3)))) (* -4 (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))) 2))))))))) (* 4 (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))) 2))))))))
(* (pow alphay 2) (+ (* 2 (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))))) (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -2 (/ (* (+ (* -8 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))) 3)))) (* -4 (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))) 2))))))) (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))))) (+ (* 4 (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphax 6) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))) 2)))))) (* 8 (/ (* u0 (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))))) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))) 3)))))))))) (+ (* -8 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))) 3)))) (* -4 (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))) 2))))))))) (* 4 (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))) 2))))))))
(/ (* (pow alphay 2) u0) (* (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (- 1 u0)))
(* (pow alphay 2) (+ (/ u0 (* (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (- 1 u0))) (/ (* (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 (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 2) (- 1 u0)))))))
(* (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 (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 3) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 2) (- 1 u0))))) (pow alphay 4))) (/ u0 (* (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (- 1 u0)))) (* -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 (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 2) (- 1 u0))))))))
(* (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 (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 2) (- 1 u0))))) (+ (/ (* (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 (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 3) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 2) (- 1 u0))))))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 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 (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 3) (- 1 u0)))))) (pow alphay 6))) (/ u0 (* (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (- 1 u0)))) (+ (* -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 (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 2) (- 1 u0)))))) (+ (* -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 (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 3) (- 1 u0)))))) (/ (* (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 (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) 2) (- 1 u0)))))))))
(/ (* (pow alphay 2) u0) (* (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (- 1 u0)))
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(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)
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(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))

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

rewrite351.0ms (1.4%)

Memory

-20.3MiB live, 566.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 050×	`lower-*.f64`
4 010×	`lower-*.f32`
2 626×	`lower-/.f64`
2 598×	`lower-/.f32`
2 096×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	92	1355
0	156	1110
1	671	950
2	5999	890
0	8568	890

Stop Event

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

Counts

26 → 737

Calls

Call 1

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

Outputs
(neg.f32 (/.f32 u0 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (.f32 alphay alphay))) (neg.f32 (-.f32 #s(literal 1 binary32) u0)))))
(neg.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))))))
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(fma.f32 #s(literal -1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 1 binary32))
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(fma.f32 (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))))))) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.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) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))
(fma.f32 (exp.f32 (log.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))) (exp.f32 (log.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.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) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 3 binary32)) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 1 binary32))) (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))))) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 1 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 1 binary32)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 3 binary32))) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))))) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 1 binary32)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))))) (neg.f32 (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 1 binary32))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (neg.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (neg.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.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) (neg.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (neg.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.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) (neg.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))))
(.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))))) (/.f32 #s(literal 1 binary32) (+.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 1 binary32))))
(.f32 #s(literal -2 binary32) (.f32 (sin.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32))) (sin.f32 (/.f32 (+.f32 #s(literal 0 binary32) (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)))))

eval1.1s (4.3%)

Memory: -113.0MiB live, 801.7MiB allocated
Compiler: Compiled 261 506 to 12 038 computations (95.4% saved)

prune481.0ms (1.9%)

Memory

38.4MiB live, 506.9MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	2 735	15	2 750
Fresh	0	0	0
Picked	5	0	5
Done	0	0	0
Total	2 740	15	2 755

Accuracy

100.0%

Counts

2 755 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (.f32 alphay alphay)))))) #s(literal -1/2 binary32))
	97.6%	(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))))) #s(literal -1/2 binary32))
▶	48.6%	(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) #s(literal -1/2 binary32))
	99.3%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (.f32 alphay alphay))))) #s(literal 1 binary32))))
	97.2%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))))) #s(literal 1 binary32))))
	48.6%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) #s(literal 1 binary32))))
	92.1%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) #s(approx (+ (/ (/ 1 (+ 1 (pow ( (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))))))))
	39.0%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphax alphax)) (.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))))))))
	86.7%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphax alphax)) (.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32))))) (/.f32 alphay alphax)))) #s(literal 2 binary32))))))))
▶	97.2%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))))
▶	100.0%	(exp.f32 (.f32 (log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay)))))) #s(literal -1/2 binary32)))
	97.7%	(exp.f32 (.f32 (log1p.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) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))))) #s(literal -1/2 binary32)))
▶	90.7%	#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))
	95.5%	#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (fma.f32 (neg.f32 (.f32 alphay alphay)) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))) #s(literal 1 binary32)))
▶	97.6%	#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))) #s(literal 1 binary32)))))

Compiler

Compiled 1 180 to 724 computations (38.6% saved)

simplify321.0ms (1.3%)

Memory

5.9MiB live, 322.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
✓	cost-diff	0	(sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) #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) #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) (- 1 u0)) (/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))))
✓	cost-diff	0	(fma.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))) #s(literal 1 binary32))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))) #s(literal 1 binary32)))
✓	cost-diff	0	(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))) #s(literal 1 binary32))))
✓	cost-diff	0	#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))) #s(literal 1 binary32)))))
✓	cost-diff	0	#s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))
✓	cost-diff	0	(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) #s(literal -1/2 binary32))
✓	cost-diff	64	(.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #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	(log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (.f32 alphay alphay))))))
✓	cost-diff	0	(.f32 (log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay)))))) #s(literal -1/2 binary32))
✓	cost-diff	64	(.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))
✓	cost-diff	3232	(exp.f32 (.f32 (log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay)))))) #s(literal -1/2 binary32)))

Rules

7 458×	`lower-fma.f64`
7 454×	`lower-fma.f32`
4 702×	`lower-*.f64`
4 664×	`lower-*.f32`
2 392×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	2012
0	175	2012
1	337	1894
2	787	1894
3	2394	1894
4	4445	1894
0	8302	1871

Stop Event

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

Calls

Call 1

Inputs
(exp.f32 (.f32 (log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay)))))) #s(literal -1/2 binary32)))
(.f32 (log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay)))))) #s(literal -1/2 binary32))
(log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (.f32 alphay alphay))))))
(/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (.f32 alphay alphay)))))
u0
(.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (.f32 alphay alphay))))
(-.f32 #s(literal 1 binary32) u0)
#s(literal 1 binary32)
(+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay)))
(/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))
(.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))
alphax
(.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.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) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))
(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(/.f32 alphay alphax)
alphay
(tan.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)
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.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) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))
(*.f32 alphay alphay)
#s(literal -1/2 binary32)
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))
#s(literal 1 binary32)
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) #s(literal -1/2 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))
#s(literal 1 binary32)
#s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay 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 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))
(.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))
(/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))
(.f32 u0 (.f32 alphax alphax))
u0
(*.f32 alphax alphax)
alphax
(-.f32 #s(literal 1 binary32) u0)
(+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))
(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(/.f32 alphay alphax)
alphay
(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
(PI.f32)
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
#s(literal 2 binary32)
u1
#s(literal 1/2 binary32)
#s(literal -1/2 binary32)
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))) #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(fma.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))) #s(literal 1 binary32))
#s(literal 2 binary32)
(/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))))
(.f32 (.f32 alphay alphay) u0)
(*.f32 alphay alphay)
alphay
u0
(.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))
(-.f32 #s(literal 1 binary32) u0)
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))
(atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))
(/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)
(.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(tan.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))
u1
#s(literal 1/2 binary32)
alphax
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))))
#s(literal 1 binary32)
(sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
(+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
#s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
(/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))
(.f32 alphay (.f32 alphay u0))
alphay
(*.f32 alphay u0)
u0
(.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))
(pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx ( (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32))
(sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx ( (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax))))
(atan.f32 (.f32 (tan.f32 #s(approx ( (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))
(.f32 (tan.f32 #s(approx ( (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax))
(tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
#s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(*.f32 #s(literal 1/2 binary32) (PI.f32))
#s(literal 1/2 binary32)
(PI.f32)
(/.f32 alphay alphax)
alphax
#s(literal 2 binary32)
(-.f32 #s(literal 1 binary32) u0)

Outputs
(exp.f32 (.f32 (log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay)))))) #s(literal -1/2 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (fma.f32 alphax (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)) alphax))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32))))) (*.f32 alphay alphay)))))) #s(literal -1/2 binary32))
(.f32 (log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay)))))) #s(literal -1/2 binary32))
(.f32 (log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (fma.f32 alphax (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)) alphax))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32))))) (.f32 alphay alphay)))))) #s(literal -1/2 binary32))
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#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u0 (/.f32 (.f32 #s(literal 2 binary32) (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))))))) #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))) #s(literal 1 binary32))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u0 (/.f32 (.f32 #s(literal 2 binary32) (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))))))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 u0 (/.f32 (.f32 #s(literal 2 binary32) (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))))))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(fma.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))) #s(literal 1 binary32))
(fma.f32 u0 (/.f32 (.f32 #s(literal 2 binary32) (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))))))) #s(literal 1 binary32))
#s(literal 2 binary32)
(/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))))
(/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))))))
(.f32 (.f32 alphay alphay) u0)
(.f32 u0 (.f32 alphay alphay))
(*.f32 alphay alphay)
alphay
u0
(.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))
(.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))))))
(-.f32 #s(literal 1 binary32) u0)
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))))
(.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))
(.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))
(atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))
(atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))
(/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))
(.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(.f32 alphay (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))
(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))
(PI.f32)
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
u1
#s(literal 1/2 binary32)
alphax
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) #s(literal 2 binary32))))))))
#s(literal 1 binary32)
(sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) #s(literal 2 binary32)))))))
(+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
(+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) #s(literal 2 binary32))))))
#s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
#s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) #s(literal 2 binary32)))))
(/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))
(/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) #s(literal 2 binary32))))
(.f32 alphay (.f32 alphay u0))
(.f32 u0 (.f32 alphay alphay))
alphay
(*.f32 alphay u0)
(*.f32 u0 alphay)
u0
(.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))
(.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) #s(literal 2 binary32)))
(pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx ( (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32))
(pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx ( (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) #s(literal 2 binary32))
(sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx ( (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax))))
(sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx ( (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
(atan.f32 (.f32 (tan.f32 #s(approx ( (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))
(atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx ( (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(.f32 (tan.f32 #s(approx ( (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 #s(approx ( (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
(tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
#s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(*.f32 #s(literal 1/2 binary32) (PI.f32))
#s(literal 1/2 binary32)
(PI.f32)
(/.f32 alphay alphax)
alphax
#s(literal 2 binary32)
(-.f32 #s(literal 1 binary32) u0)

localize637.0ms (2.5%)

Memory

4.8MiB live, 674.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(.f32 (tan.f32 #s(approx ( (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax))
✓	accuracy	80.8%	#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) (- 1 u0)) (/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
✓	accuracy	68.6%	#s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
✓	accuracy	62.3%	(tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
✓	accuracy	98.8%	(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
✓	accuracy	98.6%	(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))
✓	accuracy	97.7%	#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))) #s(literal 1 binary32)))))
✓	accuracy	62.3%	(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
✓	accuracy	98.8%	(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
✓	accuracy	98.5%	(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))
✓	accuracy	62.3%	(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
✓	accuracy	15.8%	#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) (- 1 u0)) (.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))
✓	accuracy	90.7%	#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))
✓	accuracy	98.8%	(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
✓	accuracy	98.7%	(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))
✓	accuracy	98.5%	(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))
✓	accuracy	62.3%	(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))

Samples

426.0ms

256×

valid

Compiler

Compiled 1 810 to 101 computations (94.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 380.0ms

ival-mult: 78.0ms (20.5% of total)

ival-cos: 65.0ms (17.1% of total)

ival-div: 60.0ms (15.8% of total)

ival-tan: 58.0ms (15.3% of total)

ival-pow2: 47.0ms (12.4% of total)

ival-pow: 17.0ms (4.5% of total)

ival-sin: 15.0ms (3.9% of total)

ival-add: 12.0ms (3.2% of total)

ival-atan: 10.0ms (2.6% of total)

ival-sub: 5.0ms (1.3% of total)

ival-sqrt: 5.0ms (1.3% of total)

ival-exp: 3.0ms (0.8% of total)

ival-log1p: 2.0ms (0.5% 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)

series871.0ms (3.4%)

Memory

-23.6MiB live, 1 271.8MiB allocated

Counts

25 → 996

Calls

Call 1

Inputs
#<alt (exp.f32 (.f32 (log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay)))))) #s(literal -1/2 binary32)))>
#<alt (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))>
#<alt (.f32 (log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay)))))) #s(literal -1/2 binary32))>
#<alt (log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (.f32 alphay alphay))))))>
#<alt #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay 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))>
#<alt (.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))>
#<alt (pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) #s(literal -1/2 binary32))>
#<alt (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))>
#<alt #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) (- 1 u0)) (.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))>
#<alt #s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))) #s(literal 1 binary32)))))>
#<alt (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))) #s(literal 1 binary32))))>
#<alt (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))) #s(literal 1 binary32)))>
#<alt (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))) #s(literal 1 binary32))>
#<alt (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))))>
#<alt (sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))>
#<alt (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))>
#<alt #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) (- 1 u0)) (/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))>
#<alt (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))>
#<alt (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))>
#<alt (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))>
#<alt (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))>
#<alt (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))>
#<alt (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))>
#<alt #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))>
#<alt (.f32 (tan.f32 #s(approx ( (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax))>

Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (/ u0 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))>
#<alt (+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))) (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))) (* 1/2 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))>
#<alt (+ 1 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))) (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (+ (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))) (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))) (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))))) (* 1/2 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))>
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(pow alphax 4) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))))) (* (- 1 u0) (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2)))) (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 2))) (* 1/4 (/ (* (pow u0 2) (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 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4)))))))) (sqrt (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))))))) (* 1/2 (* (/ (* u0 (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 4) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))))) (* (- 1 u0) (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin 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#<alt (+ (sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))))) (* u1 (+ (* 1/2 (* (/ (* u0 (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 4) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))))) (* (- 1 u0) (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 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2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 4) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 2) (* (pow (- 1 u0) 2) (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 4)))))))))))>
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Calls

249 calls:

Time	Variable		Point	Expression
129.0ms	u1	@	inf	(- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))
75.0ms	u1	@	inf	(* (log (+ 1 (/ u0 (* (- 1 u0) (+ (/ 1 (* alphax (* alphax (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))))))) -1/2)
65.0ms	alphay	@	inf	(exp (* (log (+ 1 (/ u0 (* (- 1 u0) (+ (/ 1 (* alphax (* alphax (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))))))) -1/2))
63.0ms	u1	@	0	(exp (* (log (+ 1 (/ u0 (* (- 1 u0) (+ (/ 1 (* alphax (* alphax (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))))))) -1/2))
60.0ms	alphax	@	inf	(* (log (+ 1 (/ u0 (* (- 1 u0) (+ (/ 1 (* alphax (* alphax (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))))))) -1/2)

simplify1.3s (5.2%)

Memory

49.4MiB live, 2 696.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 254×	`lower-*.f64`
7 254×	`lower-*.f32`
3 682×	`lower-/.f32`
3 682×	`lower-/.f64`
3 368×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3084	203417
0	8204	201795

Stop Event

1×	iter limit
1×	node limit

Counts

996 → 993

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (/ u0 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))
(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))) (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))) (* 1/2 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
(+ 1 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))) (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (+ (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))) (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))) (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))))) (* 1/2 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
(sqrt (/ 1 (- 1 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))))
(+ (sqrt (/ 1 (- 1 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))) (* 1/2 (* (/ 1 (* u0 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (sqrt (/ 1 (pow (- 1 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) 3))))))
(+ (sqrt (/ 1 (- 1 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))) (+ (* 1/2 (* (/ 1 (* u0 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (sqrt (/ 1 (pow (- 1 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) 3))))) (* 1/2 (* (/ (+ (/ 1 (* (pow (- 1 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) 2) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (* 3/4 (/ 1 (* (pow (- 1 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) 3) (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))))) (pow u0 2)) (sqrt (- 1 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))))
(+ (sqrt (/ 1 (- 1 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))) (+ (* 1/2 (* (/ 1 (* u0 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (sqrt (/ 1 (pow (- 1 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) 3))))) (+ (* 1/2 (* (/ (+ (/ 1 (* (pow (- 1 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) 2) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (* 3/4 (/ 1 (* (pow (- 1 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) 3) (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))))) (pow u0 2)) (sqrt (- 1 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))))) (* 1/2 (* (/ (- (+ (/ 1 (* (pow (- 1 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) 2) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (/ 1 (* (pow (- 1 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) 3) (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2)))) (+ (* -1 (/ (+ (/ 1 (* (pow (- 1 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) 2) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow 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(* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (/ (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2) (* (pow alphax 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (+ (* -4 (/ (* (pow alphay 4) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 6) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (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))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 4) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))))) (* (- 1 u0) (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2)))) (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 2))) (* 1/4 (/ (* (pow u0 2) (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* 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(+ (sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))))) (* u1 (+ (* 1/2 (* (/ (* u0 (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 4) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))))) (* (- 1 u0) (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) 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(PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (/ (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2) (* (pow alphax 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (+ (* -4 (/ (* (pow alphay 4) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 6) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (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))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 4) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))))) (* (- 1 u0) (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2)))) (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 2))) (* 1/4 (/ (* (pow u0 2) (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 4) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 3) (* (pow (- 1 u0) 2) (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 4))))))) (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 4) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))))))) (* (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) (* (- 1 u0) (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2))))) (/ (* u0 (* (+ (* -1 (/ (* (pow u0 2) (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 4) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 3) (* (pow (- 1 u0) 2) (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 4))))) (* -1 (/ (+ (* -1 (/ (* u0 (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 4) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (- 1 u0) (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 3)))) (/ (* u0 (- (+ (* -4 (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (/ (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2) (* (pow alphax 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (+ (* -4 (/ (* (pow alphay 4) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 6) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (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))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 4) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))))) (* (- 1 u0) (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2)))) (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 2)))) (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 4) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))))))) (* (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) (* (- 1 u0) (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2)))))))) (sqrt (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))))))))))))
(sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
(sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
(sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
(sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
(sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))))))))
(sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))))))))
(sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))))))))
(sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))))))))
(/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(/ (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2)) alphax)
(/ (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2)) alphax)
(/ (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2)) alphax)
alphax
(* alphax (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(* alphax (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(* alphax (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
alphax
(* -1 (* alphax (- (* -1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) 1)))
(* -1 (* alphax (- (* -1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) 1)))
(* -1 (* alphax (- (* -1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) 1)))
alphax
(+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))
(+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))
(+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))
(/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(* (pow alphay 2) (+ (/ alphax (pow alphay 2)) (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(* (pow alphay 2) (+ (/ alphax (pow alphay 2)) (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(* (pow alphay 2) (+ (/ alphax (pow alphay 2)) (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(* (pow alphay 2) (+ (/ alphax (pow alphay 2)) (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(* (pow alphay 2) (+ (/ alphax (pow alphay 2)) (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(* (pow alphay 2) (+ (/ alphax (pow alphay 2)) (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(* alphax (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))
(+ (* 2 (/ (* (pow alphay 2) (* u1 (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* alphax (cos (* 1/2 (PI)))))) (* alphax (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))
(+ (* alphax (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))) (* u1 (+ (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* alphax (cos (* 1/2 (PI)))))) (/ (* (pow alphay 2) (* u1 (+ (* 4 (/ (* (PI) (* (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))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2)))) alphax))))
(+ (* alphax (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))) (* u1 (+ (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* alphax (cos (* 1/2 (PI)))))) (* u1 (+ (/ (* (pow alphay 2) (* u1 (+ (* 2 (/ (* (sin (* 1/2 (PI))) (- (* -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))))))) (cos (* 1/2 (PI))))) (* 4 (/ (* (PI) (* (sin (* 1/2 (PI))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (cos (* 1/2 (PI)))))))) alphax) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (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))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) alphax))))))
(* alphax (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(* alphax (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(* alphax (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(* alphax (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(* alphax (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))
(* alphax (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))
(* alphax (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))
(* alphax (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))
(* -1/2 (/ u0 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))
(* u0 (- (* -1/4 (* u0 (- (* 2 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))))) (* 1/2 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))))
(* u0 (- (* u0 (+ (* -1/4 (- (* 2 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2)))) (* -1/12 (* u0 (- (+ (* 2 (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 3))) (* 6 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))) (* 6 (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2)))))))) (* 1/2 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))))
(* u0 (- (* u0 (+ (* -1/4 (- (* 2 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2)))) (* u0 (+ (* -1/12 (- (+ (* 2 (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 3))) (* 6 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))) (* 6 (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))))) (* -1/48 (* u0 (- (+ (* 24 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (* 24 (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 3)))) (+ (* 6 (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 4))) (* 36 (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))))))))))) (* 1/2 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))))
(* -1/2 (log (- 1 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 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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(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 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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(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))))))))
(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))))))))
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(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))
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(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))
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(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))
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1
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(sqrt (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))) (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))))) (- 1 u0))))))
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1
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(* (/ (sqrt 1/2) alphay) (sqrt (/ (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0)))
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(/ (+ (* -1/2 (* (/ (+ (* -1/8 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (pow u0 3))) (* 1/64 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (* (pow u0 3) (pow (sqrt 1/2) 2))))) (* (pow alphay 4) (sqrt 1/2))) (sqrt (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (+ (* -1/8 (* (/ 1 (* (pow alphay 2) (sqrt 1/2))) (sqrt (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (pow u0 3))))) (* (sqrt (/ (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0)) (sqrt 1/2)))) alphay)
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(* -1 (* (/ (sqrt 1/2) alphay) (sqrt (/ (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0))))
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1
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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(sqrt (/ 1 (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
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(sqrt (/ 1 (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
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1
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1
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(- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))
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(- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))
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(- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))
(- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))
(/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI))))
(+ (* u1 (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI)))))
(+ (* u1 (- (+ (* 2 (PI)) (* 2 (/ (* u1 (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (cos (* 1/2 (PI)))))) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI)))))
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(/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1)))))
(* 1/2 (PI))
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(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(* 2 (* u1 (PI)))
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(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(* 2 (* u1 (PI)))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI)))))
(+ (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))) (/ (* alphay (* u1 (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) alphax))
(+ (* u1 (+ (* 2 (/ (* alphay (* u1 (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) (* alphax (cos (* 1/2 (PI)))))) (/ (* alphay (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) alphax))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))))
(+ (* u1 (+ (* u1 (+ (* 2 (/ (* alphay (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* alphax (cos (* 1/2 (PI)))))) (/ (* alphay (* u1 (- (* -4/3 (pow (PI) 3)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* 4/3 (/ (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) alphax))) (/ (* alphay (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) alphax))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
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(/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))
(/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))
(/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))

Outputs
1
#s(literal 1 binary32)
(+ 1 (* -1/2 (/ u0 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 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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(/.f32 (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (.f32 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 alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2)) alphax)
(/.f32 (+.f32 (/.f32 (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 alphax alphax)) alphax)
(/ (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2)) alphax)
(/.f32 (+.f32 (/.f32 (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 alphax alphax)) alphax)
(/ (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2)) alphax)
(/.f32 (+.f32 (/.f32 (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 alphax alphax)) alphax)
alphax
(* alphax (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(.f32 alphax (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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))))))
(* alphax (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(.f32 alphax (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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))))))
(* alphax (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(.f32 alphax (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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))))))
alphax
(* -1 (* alphax (- (* -1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) 1)))
(neg.f32 (.f32 alphax (+.f32 (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) (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))))) #s(literal -1 binary32))))
(* -1 (* alphax (- (* -1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) 1)))
(neg.f32 (.f32 alphax (+.f32 (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) (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))))) #s(literal -1 binary32))))
(* -1 (* alphax (- (* -1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) 1)))
(neg.f32 (.f32 alphax (+.f32 (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) (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))))) #s(literal -1 binary32))))
alphax
(+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))
(+.f32 alphax (/.f32 (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (.f32 alphax (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))
(+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))
(+.f32 alphax (/.f32 (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (.f32 alphax (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))
(+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))
(+.f32 alphax (/.f32 (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (.f32 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 alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(/.f32 (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (.f32 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 alphay 2) (+ (/ alphax (pow alphay 2)) (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(.f32 (.f32 alphay alphay) (+.f32 (/.f32 alphax (.f32 alphay alphay)) (/.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 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 alphay 2) (+ (/ alphax (pow alphay 2)) (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(.f32 (.f32 alphay alphay) (+.f32 (/.f32 alphax (.f32 alphay alphay)) (/.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 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 alphay 2) (+ (/ alphax (pow alphay 2)) (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(.f32 (.f32 alphay alphay) (+.f32 (/.f32 alphax (.f32 alphay alphay)) (/.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 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 alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(/.f32 (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (.f32 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 alphay 2) (+ (/ alphax (pow alphay 2)) (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(.f32 (.f32 alphay alphay) (+.f32 (/.f32 alphax (.f32 alphay alphay)) (/.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 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 alphay 2) (+ (/ alphax (pow alphay 2)) (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(.f32 (.f32 alphay alphay) (+.f32 (/.f32 alphax (.f32 alphay alphay)) (/.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 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 alphay 2) (+ (/ alphax (pow alphay 2)) (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(.f32 (.f32 alphay alphay) (+.f32 (/.f32 alphax (.f32 alphay alphay)) (/.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 alphax (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))
(* alphax (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))
(.f32 alphax (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (.f32 (.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))))
(+ (* 2 (/ (* (pow alphay 2) (* u1 (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* alphax (cos (* 1/2 (PI)))))) (* alphax (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))
(fma.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 alphay alphay) (.f32 (.f32 u1 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (fma.f32 #s(literal 2 binary32) (PI.f32) (.f32 #s(literal 2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))))) (.f32 alphax (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))))) (.f32 alphax (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (.f32 (.f32 alphax alphax) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))))
(+ (* alphax (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))) (* u1 (+ (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* alphax (cos (* 1/2 (PI)))))) (/ (* (pow alphay 2) (* u1 (+ (* 4 (/ (* (PI) (* (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))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2)))) alphax))))
(fma.f32 alphax (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (.f32 (.f32 alphax alphax) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))) (.f32 u1 (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 (.f32 alphay alphay) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (fma.f32 #s(literal 2 binary32) (PI.f32) (.f32 #s(literal 2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))) (.f32 alphax (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))))) (/.f32 (.f32 (.f32 (.f32 alphay alphay) u1) (fma.f32 #s(literal 4 binary32) (/.f32 (.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (fma.f32 #s(literal 2 binary32) (PI.f32) (.f32 #s(literal 2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (fma.f32 #s(literal 2 binary32) (PI.f32) (.f32 #s(literal 2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))) #s(literal 2 binary32)))) alphax))))
(+ (* alphax (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))) (* u1 (+ (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* alphax (cos (* 1/2 (PI)))))) (* u1 (+ (/ (* (pow alphay 2) (* u1 (+ (* 2 (/ (* (sin (* 1/2 (PI))) (- (* -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))))))) (cos (* 1/2 (PI))))) (* 4 (/ (* (PI) (* (sin (* 1/2 (PI))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (cos (* 1/2 (PI)))))))) alphax) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (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))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) alphax))))))
(fma.f32 alphax (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (.f32 (.f32 alphax alphax) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))) (.f32 u1 (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 (.f32 alphay alphay) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (fma.f32 #s(literal 2 binary32) (PI.f32) (.f32 #s(literal 2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))) (.f32 alphax (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))))) (.f32 u1 (+.f32 (/.f32 (.f32 (.f32 (.f32 alphay alphay) u1) (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (-.f32 (.f32 #s(literal -4/3 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (fma.f32 #s(literal -4 binary32) (/.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (fma.f32 #s(literal 2 binary32) (PI.f32) (.f32 #s(literal 2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 2 binary32) (PI.f32) (.f32 #s(literal 2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))) (/.f32 (.f32 #s(literal 4/3 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))))) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 (.f32 #s(literal 4 binary32) (.f32 (.f32 (PI.f32) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (pow.f32 (fma.f32 #s(literal 2 binary32) (PI.f32) (.f32 #s(literal 2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))) #s(literal 2 binary32)))) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))))) alphax) (/.f32 (.f32 (.f32 alphay alphay) (fma.f32 #s(literal 4 binary32) (/.f32 (.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (fma.f32 #s(literal 2 binary32) (PI.f32) (.f32 #s(literal 2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (fma.f32 #s(literal 2 binary32) (PI.f32) (.f32 #s(literal 2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))) #s(literal 2 binary32)))) alphax))))))
(* alphax (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(.f32 alphax (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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))))))
(* alphax (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(.f32 alphax (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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))))))
(* alphax (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(.f32 alphax (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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))))))
(* alphax (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(.f32 alphax (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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))))))
(* alphax (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))
(.f32 alphax (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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))))))
(* alphax (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))
(.f32 alphax (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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))))))
(* alphax (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))
(.f32 alphax (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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))))))
(* alphax (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))
(.f32 alphax (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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))))))
(* -1/2 (/ u0 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))
(/.f32 (.f32 #s(literal -1/2 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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))))))) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 alphay alphay) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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))))))))))
(* u0 (- (* -1/4 (* u0 (- (* 2 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))))) (* 1/2 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 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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(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 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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(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
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(* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))
(.f32 (.f32 (.f32 alphax alphax) u0) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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))))))
(* u0 (+ (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
(.f32 u0 (.f32 (.f32 alphax alphax) (fma.f32 u0 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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))))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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))))))))
(* u0 (+ (* u0 (- (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (* -1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))) (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
(.f32 u0 (fma.f32 u0 (-.f32 (.f32 (.f32 (.f32 alphax alphax) u0) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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)))))) (neg.f32 (.f32 (.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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)))))))) (.f32 (.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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))))))))
(* u0 (+ (* u0 (- (* u0 (- (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (* -1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))) (* -1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))) (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
(.f32 u0 (fma.f32 u0 (fma.f32 u0 (-.f32 (.f32 (.f32 (.f32 alphax alphax) u0) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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)))))) (neg.f32 (.f32 (.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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)))))))) (neg.f32 (neg.f32 (.f32 (.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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))))))))) (.f32 (.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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 alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))
(neg.f32 (.f32 (.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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 alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (* -1 (/ (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))) u0)))
(.f32 #s(literal -1 binary32) (fma.f32 (.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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))))) (/.f32 (.f32 (.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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)))))) u0)))
(- (+ (* -1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (* -1 (/ (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))) (pow u0 2)))) (/ (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))) u0))
(fma.f32 #s(literal -1 binary32) (fma.f32 (.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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))))) (/.f32 (.f32 (.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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)))))) (.f32 u0 u0))) (/.f32 (neg.f32 (.f32 (.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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))))))) u0))
(- (+ (* -1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (* -1 (/ (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))) (pow u0 3)))) (+ (/ (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))) u0) (/ (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))) (pow u0 2))))
(fma.f32 #s(literal -1 binary32) (fma.f32 (.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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))))) (/.f32 (.f32 (.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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)))))) (.f32 u0 (.f32 u0 u0)))) (neg.f32 (+.f32 (/.f32 (.f32 (.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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)))))) u0) (/.f32 (.f32 (.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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)))))) (.f32 u0 u0)))))
(* -1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))
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(* -1 (* (/ 1 alphay) (sqrt (/ (* (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (- 1 u0)) u0))))
(neg.f32 (.f32 (/.f32 #s(literal 1 binary32) alphay) (sqrt.f32 (/.f32 (.f32 (fma.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))) (/.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)))) (-.f32 #s(literal 1 binary32) u0)) u0))))
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(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (pow u0 3))) (* 1/64 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (* (pow u0 3) (pow (sqrt 1/2) 2))))) (* (pow alphay 4) (sqrt 1/2))) (sqrt (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (+ (* -1/8 (* (/ 1 (* (pow alphay 2) (sqrt 1/2))) (sqrt (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (pow u0 3))))) (* (sqrt (/ (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0)) (sqrt 1/2)))) alphay))
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(- (+ 1 (* -1 (/ (+ (/ 1 (* u0 (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))))) (+ (/ 1 (* (pow u0 2) (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2)))))) u0))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2)))))
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(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))
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(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))
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(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))
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(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (- 1 u0))))))) (/ (* u0 (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))
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(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))
(/.f32 (.f32 (.f32 alphax alphax) u0) (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))
(+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0))))
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(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))
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(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))))

rewrite390.0ms (1.5%)

Memory

16.5MiB live, 721.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 716×	`lower-*.f64`
4 678×	`lower-*.f32`
3 734×	`lower-/.f64`
3 712×	`lower-/.f32`
2 556×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	1377
0	175	1137
1	804	1022
2	7822	1016
0	8485	1008

Stop Event

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

Counts

25 → 367

Calls

Call 1

Inputs
(exp.f32 (.f32 (log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay)))))) #s(literal -1/2 binary32)))
(.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))
(.f32 (log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay)))))) #s(literal -1/2 binary32))
(log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #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))))) #s(literal 1 binary32))
(.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) #s(literal -1/2 binary32))
(+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))
#s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))) #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))) #s(literal 1 binary32)))
(fma.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
(+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
#s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(pow.f32 (.f32 (/.f32 alphay alphax) (tan.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) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))
(tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
#s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(.f32 (tan.f32 #s(approx ( (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax))

Outputs
(exp.f32 (.f32 (log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (fma.f32 alphax (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)) alphax))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32))))) (.f32 alphay alphay)))))) #s(literal -1/2 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (fma.f32 alphax (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)) alphax))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32))))) (*.f32 alphay alphay)))))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (fma.f32 alphax (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)) alphax))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32))))) (*.f32 alphay alphay)))))))
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eval462.0ms (1.8%)

Memory: 1.5MiB live, 1 048.4MiB allocated
Compiler: Compiled 254 549 to 8 051 computations (96.8% saved)

prune291.0ms (1.1%)

Memory

-28.4MiB live, 686.7MiB allocated

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	1 726	13	1 739
Fresh	4	6	10
Picked	4	1	5
Done	0	0	0
Total	1 734	20	1 754

Accuracy

100.0%

Counts

1 754 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.6%	(pow.f32 (+.f32 #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphax (fma.f32 alphax (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)) alphax))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
	99.9%	(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (fma.f32 alphax (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)) alphax))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32))))) (*.f32 alphay alphay)))))) #s(literal -1/2 binary32))
	97.6%	(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))))) #s(literal -1/2 binary32))
	86.6%	(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (.f32 (.f32 #s(literal 2 binary32) u1) (PI.f32))))) #s(literal 2 binary32)))))) #s(literal -1/2 binary32))
	48.6%	(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (.f32 u0 (.f32 alphax alphax)) (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/2 binary32))
▶	87.0%	(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/2 binary32))
	99.3%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (.f32 alphay alphay))))) #s(literal 1 binary32))))
	97.2%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))))) #s(literal 1 binary32))))
	48.6%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) #s(literal 1 binary32))))
	92.1%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) #s(approx (+ (/ (/ 1 (+ 1 (pow ( (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))))))))
▶	100.0%	(exp.f32 (.f32 (log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (fma.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)) alphax alphax))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (.f32 alphay alphay)))))) #s(literal -1/2 binary32)))
	99.1%	(exp.f32 (.f32 (log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (/.f32 #s(approx (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) #s(literal 1 binary32)) (*.f32 alphay alphay)))))) #s(literal -1/2 binary32)))
✓	90.7%	#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))
	95.5%	#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (fma.f32 (neg.f32 (.f32 alphay alphay)) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))) #s(literal 1 binary32)))
	97.5%	#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 #s(approx ( (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) alphax))))))) #s(literal 1 binary32)))))
	94.3%	#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 alphay alphay) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))))
▶	97.4%	#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1) (.f32 (.f32 alphay alphay) (fma.f32 #s(literal 2 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))))) (/.f32 #s(literal 1 binary32) (.f32 alphay alphay))))))))
▶	94.3%	#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 #s(approx (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1)) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -2 binary32) (.f32 (.f32 alphay alphay) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))
▶	94.4%	#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) #s(approx (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1))) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))))))))
	91.1%	#s(approx (exp (* (log (+ 1 (/ u0 (* (- 1 u0) (+ (/ 1 (* alphax (* alphax (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))))))) -1/2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.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)) (.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))))) (-.f32 #s(literal 1 binary32) u0)))))))

Compiler

Compiled 1 526 to 953 computations (37.5% saved)

simplify398.0ms (1.6%)

Memory

33.6MiB live, 555.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1) (.f32 (.f32 alphay alphay) (fma.f32 #s(literal 2 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))))) (/.f32 #s(literal 1 binary32) (.f32 alphay alphay)))))))
✓	cost-diff	0	#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1) (.f32 (.f32 alphay alphay) (fma.f32 #s(literal 2 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))))) (/.f32 #s(literal 1 binary32) (.f32 alphay alphay))))))))
✓	cost-diff	64	(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
✓	cost-diff	512	(.f32 (.f32 alphay alphay) (fma.f32 #s(literal 2 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))))) (/.f32 #s(literal 1 binary32) (.f32 alphay alphay))))
✓	cost-diff	0	(sqrt.f32 #s(approx (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1)) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -2 binary32) (.f32 (.f32 alphay alphay) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
✓	cost-diff	0	#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 #s(approx (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1)) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -2 binary32) (.f32 (.f32 alphay alphay) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))
✓	cost-diff	64	(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
✓	cost-diff	64	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -2 binary32) (.f32 (.f32 alphay alphay) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))
✓	cost-diff	0	#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) #s(approx (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1))) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))))))))
✓	cost-diff	64	(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
✓	cost-diff	64	(neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))))
✓	cost-diff	64	(+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))))))
✓	cost-diff	0	#s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)))
✓	cost-diff	0	#s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)))))
✓	cost-diff	0	(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/2 binary32))
✓	cost-diff	0	(/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (fma.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)) alphax alphax))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay)))))
✓	cost-diff	0	(log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (fma.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)) alphax alphax))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))))))
✓	cost-diff	0	(.f32 (log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (fma.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)) alphax alphax))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (.f32 alphay alphay)))))) #s(literal -1/2 binary32))
✓	cost-diff	3232	(exp.f32 (.f32 (log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (fma.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)) alphax alphax))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (.f32 alphay alphay)))))) #s(literal -1/2 binary32)))

Rules

5 294×	`lower-fma.f64`
5 288×	`lower-fma.f32`
5 218×	`lower-*.f64`
5 186×	`lower-*.f32`
2 588×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	2345
0	208	2294
1	411	2215
2	890	2214
3	2460	2214
4	5943	2214
0	8325	2187

Stop Event

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

Calls

Call 1

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

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

localize740.0ms (2.9%)

Memory

-14.2MiB live, 1 224.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.8%	(.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))
✓	accuracy	98.6%	(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))
✓	accuracy	97.7%	#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1) (.f32 (.f32 alphay alphay) (fma.f32 #s(literal 2 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))))) (/.f32 #s(literal 1 binary32) (.f32 alphay alphay))))))))
✓	accuracy	62.3%	(tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))
✓	accuracy	98.6%	(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))
✓	accuracy	97.7%	#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 #s(approx (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1)) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -2 binary32) (.f32 (.f32 alphay alphay) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))
✓	accuracy	94.4%	#s(approx (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1)) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -2 binary32) (.f32 (.f32 alphay alphay) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
✓	accuracy	62.3%	(tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))
✓	accuracy	98.6%	(-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))
✓	accuracy	97.7%	#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) #s(approx (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1))) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))))))))
✓	accuracy	94.9%	#s(approx (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1))) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
✓	accuracy	62.3%	(tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))
✓	accuracy	99.2%	(/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))
✓	accuracy	99.2%	(.f32 (.f32 alphax alphax) u0)
✓	accuracy	16.8%	#s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)))
✓	accuracy	15.8%	#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) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))))
✓	accuracy	98.5%	(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32))
✓	accuracy	98.5%	(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))
✓	accuracy	62.3%	(tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
✓	accuracy	62.3%	(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))

Samples

444.0ms

256×

valid

Compiler

Compiled 1 889 to 120 computations (93.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 362.0ms

ival-tan: 75.0ms (20.7% of total)

ival-div: 74.0ms (20.4% of total)

ival-mult: 65.0ms (18% of total)

ival-atan: 55.0ms (15.2% of total)

ival-cos: 35.0ms (9.7% of total)

ival-add: 18.0ms (5% of total)

ival-sin: 8.0ms (2.2% of total)

ival-sub: 7.0ms (1.9% of total)

ival-pow: 7.0ms (1.9% of total)

ival-pow2: 7.0ms (1.9% of total)

ival-exp: 4.0ms (1.1% of total)

ival-sqrt: 3.0ms (0.8% of total)

ival-log1p: 2.0ms (0.6% of total)

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

exact: 1.0ms (0.3% of total)

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

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

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

series665.0ms (2.6%)

Memory

42.6MiB live, 1 054.2MiB allocated

Counts

29 → 1 128

Calls

Call 1

Inputs
#<alt (exp.f32 (.f32 (log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (fma.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)) alphax alphax))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (.f32 alphay alphay)))))) #s(literal -1/2 binary32)))>
#<alt (.f32 (log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (fma.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)) alphax alphax))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (.f32 alphay alphay)))))) #s(literal -1/2 binary32))>
#<alt (log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (fma.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)) alphax alphax))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay))))))>
#<alt (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (fma.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)) alphax alphax))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay)))))>
#<alt (pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/2 binary32))>
#<alt (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)))))>
#<alt #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) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))))>
#<alt #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)))>
#<alt (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))))))>
#<alt (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))))>
#<alt (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))>
#<alt #s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) #s(approx (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1))) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))))))))>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -2 binary32) (.f32 (.f32 alphay alphay) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))>
#<alt #s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 #s(approx (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1)) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -2 binary32) (.f32 (.f32 alphay alphay) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))>
#<alt (sqrt.f32 #s(approx (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1)) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -2 binary32) (.f32 (.f32 alphay alphay) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))>
#<alt (.f32 (.f32 alphay alphay) (fma.f32 #s(literal 2 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))))) (/.f32 #s(literal 1 binary32) (.f32 alphay alphay))))>
#<alt #s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1) (.f32 (.f32 alphay alphay) (fma.f32 #s(literal 2 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))))) (/.f32 #s(literal 1 binary32) (.f32 alphay alphay))))))))>
#<alt (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1) (.f32 (.f32 alphay alphay) (fma.f32 #s(literal 2 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))))) (/.f32 #s(literal 1 binary32) (.f32 alphay alphay)))))))>
#<alt (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))>
#<alt (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))>
#<alt (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))>
#<alt (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32))>
#<alt (.f32 (.f32 alphax alphax) u0)>
#<alt (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))>
#<alt (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))>
#<alt #s(approx (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1))) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))))))>
#<alt (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))>
#<alt #s(approx (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1)) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -2 binary32) (.f32 (.f32 alphay alphay) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))>
#<alt (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))>

Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (/ u0 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))>
#<alt (+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))) (/ 1 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))) (* 1/2 (/ 1 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))>
#<alt (+ 1 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))) (/ 1 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (+ (/ 1 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))) (/ 1 (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))) (/ 1 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))))) (* 1/2 (/ 1 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))>
#<alt (sqrt (/ 1 (- 1 (/ 1 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 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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alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2)))) (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))))) (* -1 (/ (* (pow u0 2) (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 2) (* (pow (- 1 u0) 2) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 4)))))))) (* 1/2 (/ (* u0 (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2))))))) (* (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2))))))))>
#<alt (+ (* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))))) (* u1 (+ (* 1/2 (/ (* u0 (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2))))))) (* (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2))))) (* u1 (+ (* -1/4 (+ (* -2 (/ (+ (* -1 (/ (* u0 (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 3)))) (/ (* u0 (- (+ (* -4 (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (/ (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2) (* (pow alphax 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (+ (* -4 (/ (* (pow alphay 4) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 3) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (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))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 2) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2)))) (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))))) (* -1 (/ (* (pow u0 2) (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 2) (* (pow (- 1 u0) 2) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 4))))))) (* -1/12 (* u1 (+ (* -6 (/ (* u0 (* (+ (* -1 (/ (* u0 (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 3)))) (/ (* u0 (- (+ (* -4 (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (/ (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2) (* (pow alphax 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (+ (* -4 (/ (* (pow alphay 4) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 3) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (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))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 2) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2)))) (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))))) (* (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 2) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2))))) (+ (* -6 (/ (+ (* -1 (/ (* u0 (* (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) (- (+ (* -4 (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow 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(pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 2) (* (pow (- 1 u0) 2) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 4)))))))))))>
#<alt (+ (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))))) (* u1 (+ (* -1 (/ (* u0 (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2))))))) (* (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 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2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 3)))) (/ (* u0 (- (+ (* -4 (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 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1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 2) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2))))) (+ (* -6 (/ (+ (* -1 (/ (* u0 (* (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) (- (+ (* -4 (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (/ (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2) (* (pow alphax 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (+ (* -4 (/ (* (pow alphay 4) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 3) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (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))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 2) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2))))))) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 3)))) (+ (* -1 (/ (* (+ (* -1 (/ (* u0 (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 3)))) (/ (* u0 (- (+ (* -4 (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 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alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2))))))) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))) (/ (* u0 (- (+ (* -2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (* (+ (* -4 (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow 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#<alt (/ (- (+ (* 1/8 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (* (pow alphay 4) (pow u0 3)))) (* 1/2 (/ (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0))) (* 1/4 (/ (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2)) (* (pow alphay 2) (pow u0 2))))) (pow alphay 2))>
#<alt (/ (- (+ (* -1/16 (/ (* (pow (- 1 u0) 4) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 4)) (* (pow alphay 6) (pow u0 4)))) (* 1/2 (/ (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0))) (+ (* -1/8 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (* (pow alphay 4) (pow u0 3)))) (* 1/4 (/ (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2)) (* (pow alphay 2) (pow u0 2)))))) (pow alphay 2))>
#<alt 1>
#<alt (+ 1 (* -2 (/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))>
#<alt (+ 1 (* u0 (- (* -1 (* u0 (+ (* -4 (/ (pow alphay 4) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))) (* 2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (* 2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))>
#<alt (+ 1 (* u0 (- (* u0 (- (* -1 (* u0 (+ (* -4 (/ (pow alphay 4) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))) (+ (* -2 (/ (* (pow alphay 2) (+ (* -4 (/ (pow alphay 4) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))) (* 2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* 2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))) (+ (* -4 (/ (pow alphay 4) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))) (* 2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (* 2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))>
#<alt (/ 1 (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))>
#<alt (+ (* 2 (/ (pow alphay 2) (* u0 (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (/ 1 (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))>
#<alt (- (+ (* -1 (/ (+ (* -4 (/ (pow alphay 4) (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2)))) (* -2 (/ (pow alphay 2) (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (pow u0 2))) (/ 1 (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (* -2 (/ (pow alphay 2) (* u0 (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))>
#<alt (- (+ (* -1 (/ (+ (* -4 (/ (pow alphay 4) (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2)))) (+ (* -2 (/ (pow alphay 2) (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (* 2 (/ (* (pow alphay 2) (+ (* -4 (/ (pow alphay 4) (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2)))) (* -2 (/ (pow alphay 2) (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (* (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (pow u0 3))) (/ 1 (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (+ (* -4 (/ (pow alphay 4) (* (pow u0 2) (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))))) (+ (* -2 (/ (pow alphay 2) (* u0 (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (* -2 (/ (pow alphay 2) (* (pow u0 2) (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))))>
#<alt (/ 1 (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))>
#<alt (+ (* 2 (/ (pow alphay 2) (* u0 (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (/ 1 (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))>
#<alt (+ (* -1 (/ (- (+ (* -4 (/ (pow alphay 4) (* u0 (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))))) (* -2 (/ (pow alphay 2) (* u0 (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (* 2 (/ (pow alphay 2) (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) u0)) (/ 1 (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (pow alphay 2) (+ (* -4 (/ (pow alphay 4) (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2)))) (* -2 (/ (pow alphay 2) (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (* u0 (* (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (+ (* 2 (/ (pow alphay 2) (* u0 (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (* 4 (/ (pow alphay 4) (* u0 (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))))))) (+ (* -4 (/ (pow alphay 4) (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2)))) (* -2 (/ (pow alphay 2) (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) u0)) (* 2 (/ (pow alphay 2) (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) u0)) (/ 1 (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))>
#<alt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))>
#<alt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))>
#<alt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))>
#<alt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))>
#<alt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))>
#<alt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))>
#<alt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))>
#<alt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))>
#<alt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))))))))>
#<alt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))))))))>
#<alt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))))))))>
#<alt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))))))))>
#<alt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))>
#<alt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))>
#<alt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))>
#<alt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))>
#<alt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))>
#<alt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))>
#<alt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))>
#<alt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))>
#<alt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))>
#<alt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))>
#<alt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))>
#<alt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))>
#<alt (* 1/2 (PI))>
#<alt (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))>
#<alt (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))>
#<alt (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))>
#<alt (* 2 (* u1 (PI)))>
#<alt (* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))>
#<alt (* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))>
#<alt (* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))>
#<alt (* 2 (* u1 (PI)))>
#<alt (* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))>
#<alt (* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))>
#<alt (* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))>

Calls

282 calls:

Time	Variable		Point	Expression
124.0ms	u1	@	inf	(exp (* (log (+ 1 (/ u0 (* (- 1 u0) (+ (/ 1 (* alphax (+ (* (pow (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))) 2) alphax) alphax))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))))))) -1/2))
60.0ms	u1	@	0	(exp (* (log (+ 1 (/ u0 (* (- 1 u0) (+ (/ 1 (* alphax (+ (* (pow (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))) 2) alphax) alphax))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))))))) -1/2))
52.0ms	u1	@	-inf	(* (log (+ 1 (/ u0 (* (- 1 u0) (+ (/ 1 (* alphax (+ (* (pow (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))) 2) alphax) alphax))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))))))) -1/2)
49.0ms	u1	@	inf	(* (log (+ 1 (/ u0 (* (- 1 u0) (+ (/ 1 (* alphax (+ (* (pow (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))) 2) alphax) alphax))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))))))) -1/2)
36.0ms	alphax	@	-inf	(* (log (+ 1 (/ u0 (* (- 1 u0) (+ (/ 1 (* alphax (+ (* (pow (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))) 2) alphax) alphax))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))))))) -1/2)

simplify1.5s (5.9%)

Memory

21.6MiB live, 2 304.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 226×	`lower-*.f64`
7 226×	`lower-*.f32`
3 656×	`lower-/.f32`
3 656×	`lower-/.f64`
3 304×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3109	243751
0	8216	241169

Stop Event

1×	iter limit
1×	node limit

Counts

1 128 → 1 128

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (/ u0 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))
(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))) (/ 1 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))) (* 1/2 (/ 1 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 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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(sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))))))
(+ (sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))))) (* 1/2 (* (/ (* u0 (* u1 (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))))) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2))) (sqrt (/ 1 (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 3))))))
(+ (sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))))) (* u1 (+ (* -1/2 (* (* u1 (+ (* -1 (/ (* (pow u0 2) (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 3) (* (pow (- 1 u0) 2) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 4))))) (+ (* -1 (/ (+ (* -1 (/ (* u0 (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 3)))) (/ (* u0 (- (+ (* -4 (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow 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1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2)))) (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 2))) (* 1/4 (/ (* (pow u0 2) (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 3) (* (pow (- 1 u0) 2) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 4)))))))) (sqrt (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))))))) (* 1/2 (* (/ (* u0 (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2))))))) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2))) (sqrt (/ 1 (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 3))))))))
(+ (sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))))) (* u1 (+ (* 1/2 (* (/ (* u0 (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2))))))) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2))) (sqrt (/ 1 (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 3))))) (* u1 (+ (* -1/2 (* (sqrt (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))))) (+ (* -1 (/ (* (pow u0 2) (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 3) (* (pow (- 1 u0) 2) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 4))))) (+ (* -1 (/ (+ (* -1 (/ (* u0 (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 3)))) (/ (* u0 (- (+ (* -4 (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (/ (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2) (* (pow alphax 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (+ (* -4 (/ (* (pow alphay 4) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 3) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (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))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 2) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2)))) (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos 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alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 3) (* (pow (- 1 u0) 2) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 4))))))))) (* -1/2 (* (* u1 (+ (* -1 (/ (* u0 (* (+ (* -1 (/ (* u0 (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow 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(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))))))) (cos (* 1/2 (PI))))) (* 4 (/ (* (PI) (* (sin (* 1/2 (PI))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (cos (* 1/2 (PI))))))) (* (pow alphax 2) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2))))))) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2))))) (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 2))) (+ (* -1/2 (/ (* u0 (* (+ (* -1 (/ (* (pow u0 2) (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 3) (* (pow (- 1 u0) 2) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 4))))) (+ (* -1 (/ (+ (* -1 (/ (* u0 (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 3)))) (/ (* u0 (- (+ (* -4 (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (/ (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2) (* (pow alphax 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (+ (* -4 (/ (* (pow alphay 4) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 3) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (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))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 2) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2)))) (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 2))) (* 1/4 (/ (* (pow u0 2) (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 3) (* (pow (- 1 u0) 2) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 4))))))) (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))))) (* (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2))))) (/ (* u0 (* (+ (* -1 (/ (* (pow u0 2) (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 3) (* (pow (- 1 u0) 2) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 4))))) (* -1 (/ (+ (* -1 (/ (* u0 (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 3)))) (/ (* u0 (- (+ (* -4 (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (/ (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2) (* (pow alphax 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (+ (* -4 (/ (* (pow alphay 4) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 3) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (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))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 2) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2)))) (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 2)))) (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))))) (* (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2)))))))) (sqrt (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))))))))))))
(sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
(sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
(sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
(sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
(sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* alphax (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))))))))
(sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* alphax (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))))))))
(sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* alphax (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))))))))
(sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* alphax (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))))))))
(* -1/2 (/ u0 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))
(* u0 (- (* -1/4 (* u0 (- (* 2 (/ 1 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (/ 1 (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))))) (* 1/2 (/ 1 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 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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alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 2) (* (pow (- 1 u0) 2) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 4)))))))) (* 1/2 (/ (* u0 (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2))))))) (* (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2))))))))
(+ (* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))))) (* u1 (+ (* 1/2 (/ (* u0 (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2))))))) (* (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2))))) (* u1 (+ (* -1/4 (+ (* -2 (/ (+ (* -1 (/ (* u0 (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 3)))) (/ (* u0 (- (+ (* -4 (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (/ (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2) (* (pow alphax 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (+ (* -4 (/ (* (pow alphay 4) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 3) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (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))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 2) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2)))) (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))))) (* -1 (/ (* (pow u0 2) (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 2) (* (pow (- 1 u0) 2) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 4))))))) (* -1/12 (* u1 (+ (* -6 (/ (* u0 (* (+ (* -1 (/ (* u0 (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos 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(pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (/ (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2) (* (pow alphax 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (+ (* -4 (/ (* (pow alphay 4) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 3) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (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))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 2) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2)))) (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))))) (* (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 2) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2))))) (+ (* -6 (/ (+ (* -1 (/ (* u0 (* (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) (- (+ (* -4 (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (/ (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2) (* (pow alphax 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (+ (* -4 (/ (* (pow alphay 4) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 3) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (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))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 2) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2))))))) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 3)))) (+ (* -1 (/ (* (+ (* -1 (/ (* u0 (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 3)))) (/ (* u0 (- (+ (* -4 (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (/ (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2) (* (pow alphax 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (+ (* -4 (/ (* (pow alphay 4) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 3) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (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))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 2) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2)))) (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2))))))) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))) (/ (* u0 (- (+ (* -2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (* (+ (* -4 (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (/ (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2) (* (pow alphax 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))) (+ (* -2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (* (+ (* 4 (/ (* (PI) (* (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))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2)) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* (pow alphax 4) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (+ (* 2 (/ (* (sin (* 1/2 (PI))) (- (* -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))))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 4 (/ (* (PI) (* (sin (* 1/2 (PI))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))))))) (+ (* -2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (* (+ (* -4 (/ (* (pow alphay 4) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 3) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (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))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 2) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* alphax (* (cos (* 1/2 (PI))) (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))))) (+ (* -2 (/ (* (pow alphay 4) (* (sin (* 1/2 (PI))) (* (+ (* 4 (/ (* (PI) (* (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))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2)) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* (pow alphax 3) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 2 (/ (* (sin (* 1/2 (PI))) (- (* -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))))))) (cos (* 1/2 (PI))))) (* 4 (/ (* (PI) (* (sin (* 1/2 (PI))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (cos (* 1/2 (PI))))))) (* (pow alphax 2) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2))))))) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2))))) (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))))) (* -2 (/ (* (pow u0 3) (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 3)) (* (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 3) (* (pow (- 1 u0) 3) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 6))))))))))))))
(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* alphax (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))))))))
(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* alphax (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))))))))
(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* alphax (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))))))))
(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* alphax (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))))))))
(/ u0 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))
(* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (/ 1 (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))))) (/ 1 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))
(* u0 (+ (* u0 (+ (* 1/6 (* u0 (- (+ (* 2 (/ 1 (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 3))) (* 6 (/ 1 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))) (* 6 (/ 1 (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2)))))) (* 1/2 (- (* 2 (/ 1 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (/ 1 (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2)))))) (/ 1 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 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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(+ (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))))) (* u1 (+ (* -1 (/ (* u0 (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2))))))) (* (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2))))) (* u1 (+ (* 1/6 (* u1 (+ (* -6 (/ (* u0 (* (+ (* -1 (/ (* u0 (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 3)))) (/ (* u0 (- (+ (* -4 (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (/ (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2) (* (pow alphax 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (+ (* -4 (/ (* (pow alphay 4) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 3) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (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))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 2) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2)))) (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))))) (* (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 2) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2))))) (+ (* -6 (/ (+ (* -1 (/ (* u0 (* (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) (- (+ (* -4 (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (/ (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2) (* (pow alphax 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (+ (* -4 (/ (* (pow alphay 4) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 3) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (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))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 2) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2))))))) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 3)))) (+ (* -1 (/ (* (+ (* -1 (/ (* u0 (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 3)))) (/ (* u0 (- (+ (* -4 (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 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alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (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))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 2) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2)))) (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2))))))) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))) (/ (* u0 (- (+ (* -2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (* (+ (* -4 (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (/ (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2) (* (pow alphax 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))) (+ (* -2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (* (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 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(sin (* 1/2 (PI))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))))))) (+ (* -2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (* (+ (* -4 (/ (* (pow alphay 4) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 3) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (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))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 2) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* alphax (* (cos (* 1/2 (PI))) (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))))) (+ (* -2 (/ (* (pow alphay 4) (* (sin (* 1/2 (PI))) (* (+ (* 4 (/ (* (PI) (* (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))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2)) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* (pow alphax 3) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 2 (/ (* (sin (* 1/2 (PI))) (- (* -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))))))) (cos (* 1/2 (PI))))) (* 4 (/ (* (PI) (* (sin (* 1/2 (PI))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (cos (* 1/2 (PI))))))) (* (pow alphax 2) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2))))))) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2))))) (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))))) (* -2 (/ (* (pow u0 3) (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 3)) (* (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 3) (* (pow (- 1 u0) 3) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 6))))))))) (* 1/2 (+ (* -2 (/ (+ (* -1 (/ (* u0 (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 3)))) (/ (* u0 (- (+ (* -4 (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (/ (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2) (* (pow alphax 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (+ (* -4 (/ (* (pow alphay 4) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 3) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (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))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 2) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2)))) (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))))) (* -1 (/ (* (pow u0 2) (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 2) (* (pow (- 1 u0) 2) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 4))))))))))))
(log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))))
(log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))))
(log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))))
(log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))))
(log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* alphax (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))))))))
(log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* alphax (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))))))))
(log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* alphax (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))))))))
(log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* alphax (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))))))))
(/ u0 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))
(* u0 (+ (/ 1 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))) (/ u0 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))
(* u0 (+ (* u0 (+ (/ 1 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))) (/ u0 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))) (/ 1 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))
(* u0 (+ (* u0 (+ (* u0 (+ (/ 1 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))) (/ u0 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))) (/ 1 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))) (/ 1 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))
(/ -1 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))
(* -1 (+ (/ 1 (* u0 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (/ 1 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 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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(/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))
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(/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 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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(/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* alphax (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))))))
(/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* alphax (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 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
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(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))
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(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))
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(* (pow alphay 2) (+ (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))) (/ (* (pow alphax 2) u0) (* (pow alphay 2) (- 1 u0)))))
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(* (pow alphay 2) (+ (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))) (/ (* (pow alphax 2) u0) (* (pow alphay 2) (- 1 u0)))))
(/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))
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1
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1
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1/2
(+ 1/2 (* 2 u1))
(+ 1/2 (* 2 u1))
(+ 1/2 (* 2 u1))
(* 2 u1)
(* u1 (+ 2 (* 1/2 (/ 1 u1))))
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(* 2 u1)
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(* u1 (+ 2 (* 1/2 (/ 1 u1))))
1
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u0)))) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2) (* (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))) (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2) (- 1 u0))))))))))) (sqrt (+ 1 (/ u0 (* (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))) (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) (- 1 u0))))))))))))
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(sqrt (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))) (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))))) (- 1 u0))))))
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1
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(* (/ (sqrt 1/2) alphay) (sqrt (/ (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0)))
(/ (+ (* -1/8 (* (/ 1 (* (pow alphay 2) (sqrt 1/2))) (sqrt (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (pow u0 3))))) (* (sqrt (/ (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0)) (sqrt 1/2))) alphay)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (pow u0 3))) (* 1/64 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (* (pow u0 3) (pow (sqrt 1/2) 2))))) (* (pow alphay 4) (sqrt 1/2))) (sqrt (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (+ (* -1/8 (* (/ 1 (* (pow alphay 2) (sqrt 1/2))) (sqrt (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (pow u0 3))))) (* (sqrt (/ (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0)) (sqrt 1/2)))) alphay)
(/ (+ (* -1/2 (* (/ (+ (* -1/8 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (pow u0 3))) (* 1/64 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (* (pow u0 3) (pow (sqrt 1/2) 2))))) (* (pow alphay 4) (sqrt 1/2))) (sqrt (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (/ (* (pow (- 1 u0) 4) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 4)) (pow u0 4))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (pow u0 3))) (* 1/64 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (* (pow u0 3) (pow (sqrt 1/2) 2))))) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* u0 (pow (sqrt 1/2) 2))))) (* (pow alphay 6) (sqrt 1/2))) (sqrt (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (+ (* -1/8 (* (/ 1 (* (pow alphay 2) (sqrt 1/2))) (sqrt (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (pow u0 3))))) (* (sqrt (/ (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0)) (sqrt 1/2))))) alphay)
(* -1 (* (/ (sqrt 1/2) alphay) (sqrt (/ (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0))))
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(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (pow u0 3))) (* 1/64 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (* (pow u0 3) (pow (sqrt 1/2) 2))))) (* (pow alphay 4) (sqrt 1/2))) (sqrt (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (+ (* -1/8 (* (/ 1 (* (pow alphay 2) (sqrt 1/2))) (sqrt (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (pow u0 3))))) (* (sqrt (/ (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0)) (sqrt 1/2)))) alphay))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (pow u0 3))) (* 1/64 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (* (pow u0 3) (pow (sqrt 1/2) 2))))) (* (pow alphay 4) (sqrt 1/2))) (sqrt (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (+ (* -1/2 (* (/ (+ (* 1/16 (/ (* (pow (- 1 u0) 4) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 4)) (pow u0 4))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (pow u0 3))) (* 1/64 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (* (pow u0 3) (pow (sqrt 1/2) 2))))) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* u0 (pow (sqrt 1/2) 2))))) (* (pow alphay 6) (sqrt 1/2))) (sqrt (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (+ (* -1/8 (* (/ 1 (* (pow alphay 2) (sqrt 1/2))) (sqrt (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (pow u0 3))))) (* (sqrt (/ (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0)) (sqrt 1/2))))) alphay))
1
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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(+ 1 (* u0 (+ (* -1 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* u0 (+ (* -1/2 (* u0 (+ (* -4 (/ (pow alphay 4) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))) (+ (* -2 (/ (* (pow alphay 2) (+ (* -4 (/ (pow alphay 4) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))) (* 2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (+ (* 2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (/ (* (pow alphay 2) (+ (* -4 (/ (pow alphay 4) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))) (+ (* 2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (/ (pow alphay 4) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))))) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))) (* -1/2 (+ (* -4 (/ (pow alphay 4) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))) (+ (* 2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (/ (pow alphay 4) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))))))))))
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1
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(sqrt (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))))) (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))))) (- 1 u0))))))
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1
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(* (/ (sqrt 1/2) alphay) (sqrt (/ (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0)))
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(/ (+ (* -1/2 (* (/ (+ (* -1/8 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (pow u0 3))) (* 1/64 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (* (pow u0 3) (pow (sqrt 1/2) 2))))) (* (pow alphay 4) (sqrt 1/2))) (sqrt (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (+ (* -1/8 (* (/ 1 (* (pow alphay 2) (sqrt 1/2))) (sqrt (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (pow u0 3))))) (* (sqrt (/ (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0)) (sqrt 1/2)))) alphay)
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(* -1 (* (/ (sqrt 1/2) alphay) (sqrt (/ (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0))))
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1
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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(sqrt (/ 1 (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
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(sqrt (/ 1 (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
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(/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI))))
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1
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1
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(+ 1 (* (pow alphay 2) (- (* (pow alphay 2) (- (* -8 (/ (* (pow alphay 2) (pow u0 3)) (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)))) (* -4 (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2)))))) (* 2 (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))
(* 1/2 (/ (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (* (pow alphay 2) u0)))
(/ (+ (* -1/4 (/ (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2)) (* (pow alphay 2) (pow u0 2)))) (* 1/2 (/ (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0))) (pow alphay 2))
(/ (- (+ (* 1/8 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (* (pow alphay 4) (pow u0 3)))) (* 1/2 (/ (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0))) (* 1/4 (/ (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2)) (* (pow alphay 2) (pow u0 2))))) (pow alphay 2))
(/ (- (+ (* -1/16 (/ (* (pow (- 1 u0) 4) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 4)) (* (pow alphay 6) (pow u0 4)))) (* 1/2 (/ (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0))) (+ (* -1/8 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (* (pow alphay 4) (pow u0 3)))) (* 1/4 (/ (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2)) (* (pow alphay 2) (pow u0 2)))))) (pow alphay 2))
(* 1/2 (/ (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (* (pow alphay 2) u0)))
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(/ (- (+ (* 1/8 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (* (pow alphay 4) (pow u0 3)))) (* 1/2 (/ (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0))) (* 1/4 (/ (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2)) (* (pow alphay 2) (pow u0 2))))) (pow alphay 2))
(/ (- (+ (* -1/16 (/ (* (pow (- 1 u0) 4) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 4)) (* (pow alphay 6) (pow u0 4)))) (* 1/2 (/ (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0))) (+ (* -1/8 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (* (pow alphay 4) (pow u0 3)))) (* 1/4 (/ (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2)) (* (pow alphay 2) (pow u0 2)))))) (pow alphay 2))
1
(+ 1 (* -2 (/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(+ 1 (* u0 (- (* -1 (* u0 (+ (* -4 (/ (pow alphay 4) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))) (* 2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (* 2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
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(/ 1 (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(- (+ (* -1 (/ (+ (* -4 (/ (pow alphay 4) (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2)))) (+ (* -2 (/ (pow alphay 2) (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (* 2 (/ (* (pow alphay 2) (+ (* -4 (/ (pow alphay 4) (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2)))) (* -2 (/ (pow alphay 2) (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (* (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (pow u0 3))) (/ 1 (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (+ (* -4 (/ (pow alphay 4) (* (pow u0 2) (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))))) (+ (* -2 (/ (pow alphay 2) (* u0 (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (* -2 (/ (pow alphay 2) (* (pow u0 2) (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))))
(/ 1 (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(+ (* 2 (/ (pow alphay 2) (* u0 (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (/ 1 (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(+ (* -1 (/ (- (+ (* -4 (/ (pow alphay 4) (* u0 (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))))) (* -2 (/ (pow alphay 2) (* u0 (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (* 2 (/ (pow alphay 2) (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) u0)) (/ 1 (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (pow alphay 2) (+ (* -4 (/ (pow alphay 4) (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2)))) (* -2 (/ (pow alphay 2) (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (* u0 (* (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (+ (* 2 (/ (pow alphay 2) (* u0 (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (* 4 (/ (pow alphay 4) (* u0 (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))))))) (+ (* -4 (/ (pow alphay 4) (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2)))) (* -2 (/ (pow alphay 2) (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) u0)) (* 2 (/ (pow alphay 2) (* (pow (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) u0)) (/ 1 (+ 1 (* -2 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(* 1/2 (PI))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(* 2 (* u1 (PI)))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(* 2 (* u1 (PI)))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))

Outputs
1
#s(literal 1 binary32)
(+ 1 (* -1/2 (/ u0 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 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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(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 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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(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 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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(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* alphax (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 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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(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* alphax (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 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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(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* alphax (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))))))))
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(* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 3) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (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))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 2) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2))))))) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 3)))) (+ (* -1 (/ (* (+ (* -1 (/ (* u0 (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 3)))) (/ (* u0 (- (+ (* -4 (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 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(pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))))) (* -2 (/ (* (pow u0 3) (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 3)) (* (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 3) (* (pow (- 1 u0) 3) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 6))))))))) (* 1/2 (+ (* -2 (/ (+ (* -1 (/ (* u0 (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 3)))) (/ (* u0 (- (+ (* -4 (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (/ (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2) (* (pow alphax 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (+ (* -4 (/ (* (pow alphay 4) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 3) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (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))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 2) (pow (+ alphax (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* alphax (pow (cos (* 1/2 (PI))) 2)))) 2)))))) (* (- 1 u0) (pow (- (+ (/ 1 (* alphax (+ 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(log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))))
(log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (+.f32 alphax (/.f32 (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (.f32 alphax (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))) (/.f32 #s(literal 1 binary32) (.f32 alphay alphay))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 alphay alphay) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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)))))))))))
(log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* alphax (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))))))))
(log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (+.f32 alphax (/.f32 (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (.f32 alphax (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))) (/.f32 #s(literal 1 binary32) (.f32 alphay alphay))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 alphay alphay) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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)))))))))))
(log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* alphax (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))))))))
(log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (+.f32 alphax (/.f32 (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (.f32 alphax (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))) (/.f32 #s(literal 1 binary32) (.f32 alphay alphay))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 alphay alphay) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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)))))))))))
(log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* alphax (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))))))))
(log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (+.f32 alphax (/.f32 (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (.f32 alphax (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))) (/.f32 #s(literal 1 binary32) (.f32 alphay alphay))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 alphay alphay) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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)))))))))))
(log (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* alphax (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))))))))
(log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (+.f32 alphax (/.f32 (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (.f32 alphax (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))) (/.f32 #s(literal 1 binary32) (.f32 alphay alphay))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 alphay alphay) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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)))))))))))
(/ u0 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 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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(* u0 (+ (/ 1 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))) (/ u0 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 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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(* u0 (+ (* u0 (+ (/ 1 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))) (/ u0 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))) (/ 1 (- (+ (/ 1 (* alphax (+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))
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(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* u0 (* (- (* -1 (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (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)))) 4)) (* -1 (/ (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))))) (* (pow (+ 1 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0)))) (+ (* -1 (/ (* (+ (* -1 (/ (* u0 (pow (- (* -1 (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) 2)) (* (pow (+ 1 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0)))) (/ (* u0 (- (/ (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* -1 (/ (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6))))) (* (pow (+ 1 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))) (- (* -1 (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (+ 1 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))) (/ (* u0 (- (* -1 (/ (* (pow alphax 6) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6))) (/ (* (pow alphax 6) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8)))) (* (pow (+ 1 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))) (pow alphay 6))) (/ u0 (* (+ 1 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))) (+ (* -1 (/ (* u0 (pow (- (* -1 (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) 2)) (* (pow alphay 4) (* (pow (+ 1 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))) (+ (/ (* u0 (- (* -1 (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (* (pow alphay 2) (* (pow (+ 1 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))) (/ (* u0 (- (/ (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* -1 (/ (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6))))) (* (pow alphay 4) (* (pow (+ 1 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))))))
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(- (* -1 (/ (+ (/ 1 (* u0 (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))))) (pow u0 2))) (+ (/ 1 (* u0 (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))))))
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(/ -1 (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))))
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(* -1 (+ (/ 1 (* u0 (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))))))
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(- (* -1 (/ (+ (/ 1 (* u0 (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))))) u0)) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2)))))
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(- (* -1 (/ (+ (/ 1 (* u0 (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))))) (+ (/ 1 (* (pow u0 2) (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2)))))) u0)) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (pow alphay 2)))))
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(* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))
(.f32 (.f32 (.f32 alphax alphax) u0) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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))))))
(* u0 (+ (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
(.f32 u0 (.f32 (.f32 alphax alphax) (fma.f32 u0 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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))))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) (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))))))))
(* u0 (+ (* u0 (- (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (* -1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))) (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
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(* u0 (+ (* u0 (- (* u0 (- (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (* -1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))) (* -1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))) (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
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(/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))
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(* (pow alphax 2) (+ (/ u0 (- 1 u0)) (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))
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(* (pow alphax 2) (+ (/ u0 (- 1 u0)) (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))
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(/ (* (pow alphax 2) u0) (- 1 u0))
(/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))
(* (pow alphax 2) (+ (/ u0 (- 1 u0)) (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))
(.f32 (.f32 alphax alphax) (+.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 (.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (.f32 (.f32 alphax alphax) (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
(* (pow alphax 2) (+ (/ u0 (- 1 u0)) (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))
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(* (pow alphax 2) (+ (/ u0 (- 1 u0)) (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))
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(/ (* (pow alphax 2) u0) (- 1 u0))
(/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))
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(+ (/ (* (pow alphax 2) u0) (- 1 u0)) (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))
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(/.f32 (.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))
(* (pow alphay 2) (+ (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))) (/ (* (pow alphax 2) u0) (* (pow alphay 2) (- 1 u0)))))
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(* (pow alphay 2) (+ (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))) (/ (* (pow alphax 2) u0) (* (pow alphay 2) (- 1 u0)))))
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(* (pow alphay 2) (+ (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))) (/ (* (pow alphax 2) u0) (* (pow alphay 2) (- 1 u0)))))
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(* (pow alphay 2) (+ (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))) (/ (* (pow alphax 2) u0) (* (pow alphay 2) (- 1 u0)))))
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(* (pow alphay 2) (+ (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))) (/ (* (pow alphax 2) u0) (* (pow alphay 2) (- 1 u0)))))
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(* (pow alphay 2) (+ (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))) (/ (* (pow alphax 2) u0) (* (pow alphay 2) (- 1 u0)))))
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(* u0 (- (/ 1 u0) (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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(* -1 (/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
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(* u0 (+ (* -1 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (/ 1 u0)))
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(* u0 (+ (* -1 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (/ 1 u0)))
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1/2
#s(literal 1/2 binary32)
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(* u1 (+ 2 (* 1/2 (/ 1 u1))))
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(* u1 (+ 2 (* 1/2 (/ 1 u1))))
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(* u1 (+ 2 (* 1/2 (/ 1 u1))))
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(* 2 u1)
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(* u1 (+ 2 (* 1/2 (/ 1 u1))))
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(* u1 (+ 2 (* 1/2 (/ 1 u1))))
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1
#s(literal 1 binary32)
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(* -1 (* (/ 1 alphay) (sqrt (/ (* (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax)))))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (- 1 u0)) u0))))
(neg.f32 (.f32 (/.f32 #s(literal 1 binary32) alphay) (sqrt.f32 (/.f32 (.f32 (fma.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))) (/.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)))) (-.f32 #s(literal 1 binary32) u0)) u0))))
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(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (pow u0 3))) (* 1/64 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (* (pow u0 3) (pow (sqrt 1/2) 2))))) (* (pow alphay 4) (sqrt 1/2))) (sqrt (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (+ (* -1/8 (* (/ 1 (* (pow alphay 2) (sqrt 1/2))) (sqrt (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (pow u0 3))))) (* (sqrt (/ (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0)) (sqrt 1/2)))) alphay))
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(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (pow u0 3))) (* 1/64 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (* (pow u0 3) (pow (sqrt 1/2) 2))))) (* (pow alphay 4) (sqrt 1/2))) (sqrt (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (+ (* -1/8 (* (/ 1 (* (pow alphay 2) (sqrt 1/2))) (sqrt (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (pow u0 3))))) (* (sqrt (/ (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0)) (sqrt 1/2)))) alphay))
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(fma.f32 u1 (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 (.f32 alphay alphay) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (fma.f32 #s(literal 2 binary32) (PI.f32) (.f32 #s(literal 2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))) (.f32 (.f32 alphax alphax) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))))) (.f32 u1 (+.f32 (/.f32 (.f32 (.f32 (.f32 alphay alphay) u1) (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (-.f32 (.f32 #s(literal -4/3 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (fma.f32 #s(literal -4 binary32) (/.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (fma.f32 #s(literal 2 binary32) (PI.f32) (.f32 #s(literal 2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 2 binary32) (PI.f32) (.f32 #s(literal 2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))) (/.f32 (.f32 #s(literal 4/3 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))))) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 (.f32 #s(literal 4 binary32) (.f32 (.f32 (PI.f32) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (pow.f32 (fma.f32 #s(literal 2 binary32) (PI.f32) (.f32 #s(literal 2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))) #s(literal 2 binary32)))) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))))) (.f32 alphax alphax)) (/.f32 (.f32 (.f32 alphay alphay) (fma.f32 #s(literal 4 binary32) (/.f32 (.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (fma.f32 #s(literal 2 binary32) (PI.f32) (.f32 #s(literal 2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (fma.f32 #s(literal 2 binary32) (PI.f32) (.f32 #s(literal 2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))) #s(literal 2 binary32)))) (.f32 alphax alphax))))) (/.f32 (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (.f32 (.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))
(/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(/.f32 (.f32 (.f32 alphay alphay) (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))))
(/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(/.f32 (.f32 (.f32 alphay alphay) (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))))
(/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(/.f32 (.f32 (.f32 alphay alphay) (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))))
(/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(/.f32 (.f32 (.f32 alphay alphay) (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))))
(/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))
(/.f32 (.f32 (.f32 alphay alphay) (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))))
(/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))
(/.f32 (.f32 (.f32 alphay alphay) (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))))
(/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))
(/.f32 (.f32 (.f32 alphay alphay) (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))))
(/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))
(/.f32 (.f32 (.f32 alphay alphay) (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))))
(* (pow alphax 2) u0)
(.f32 (.f32 alphax alphax) u0)
(* (pow alphax 2) u0)
(.f32 (.f32 alphax alphax) u0)
(* (pow alphax 2) u0)
(.f32 (.f32 alphax alphax) u0)
(* (pow alphax 2) u0)
(.f32 (.f32 alphax alphax) u0)
(* (pow alphax 2) u0)
(.f32 (.f32 alphax alphax) u0)
(* (pow alphax 2) u0)
(.f32 (.f32 alphax alphax) u0)
(* (pow alphax 2) u0)
(.f32 (.f32 alphax alphax) u0)
(* (pow alphax 2) u0)
(.f32 (.f32 alphax alphax) u0)
(* (pow alphax 2) u0)
(.f32 (.f32 alphax alphax) u0)
(* (pow alphax 2) u0)
(.f32 (.f32 alphax alphax) u0)
(* (pow alphax 2) u0)
(.f32 (.f32 alphax alphax) u0)
(* (pow alphax 2) u0)
(.f32 (.f32 alphax alphax) u0)
(* (pow alphax 2) u0)
(.f32 (.f32 alphax alphax) u0)
(* (pow alphax 2) u0)
(.f32 (.f32 alphax alphax) u0)
(* (pow alphax 2) u0)
(.f32 (.f32 alphax alphax) u0)
(* (pow alphax 2) u0)
(.f32 (.f32 alphax alphax) u0)
(* (pow alphax 2) u0)
(.f32 (.f32 alphax alphax) u0)
(* (pow alphax 2) u0)
(.f32 (.f32 alphax alphax) u0)
(* (pow alphax 2) u0)
(.f32 (.f32 alphax alphax) u0)
(* (pow alphax 2) u0)
(.f32 (.f32 alphax alphax) u0)
(* (pow alphax 2) u0)
(.f32 (.f32 alphax alphax) u0)
(* (pow alphax 2) u0)
(.f32 (.f32 alphax alphax) u0)
(* (pow alphax 2) u0)
(.f32 (.f32 alphax alphax) u0)
(* (pow alphax 2) u0)
(.f32 (.f32 alphax alphax) u0)
(/ (* (pow alphax 2) u0) (- 1 u0))
(/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))
(/ (* (pow alphax 2) u0) (- 1 u0))
(/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))
(/ (* (pow alphax 2) u0) (- 1 u0))
(/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))
(/ (* (pow alphax 2) u0) (- 1 u0))
(/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))
(/ (* (pow alphax 2) u0) (- 1 u0))
(/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))
(/ (* (pow alphax 2) u0) (- 1 u0))
(/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))
(/ (* (pow alphax 2) u0) (- 1 u0))
(/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))
(/ (* (pow alphax 2) u0) (- 1 u0))
(/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))
(/ (* (pow alphax 2) u0) (- 1 u0))
(/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))
(/ (* (pow alphax 2) u0) (- 1 u0))
(/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))
(/ (* (pow alphax 2) u0) (- 1 u0))
(/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))
(/ (* (pow alphax 2) u0) (- 1 u0))
(/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))
(* (pow alphax 2) u0)
(.f32 (.f32 alphax alphax) u0)
(* u0 (+ (* (pow alphax 2) u0) (pow alphax 2)))
(.f32 u0 (fma.f32 (.f32 alphax alphax) u0 (*.f32 alphax alphax)))
(* u0 (+ (* u0 (- (* (pow alphax 2) u0) (* -1 (pow alphax 2)))) (pow alphax 2)))
(.f32 u0 (fma.f32 u0 (fma.f32 (.f32 alphax alphax) u0 (neg.f32 (neg.f32 (.f32 alphax alphax)))) (.f32 alphax alphax)))
(* u0 (+ (* u0 (- (* u0 (- (* (pow alphax 2) u0) (* -1 (pow alphax 2)))) (* -1 (pow alphax 2)))) (pow alphax 2)))
(.f32 u0 (fma.f32 u0 (fma.f32 u0 (fma.f32 (.f32 alphax alphax) u0 (neg.f32 (neg.f32 (.f32 alphax alphax)))) (neg.f32 (neg.f32 (.f32 alphax alphax)))) (*.f32 alphax alphax)))
(* -1 (pow alphax 2))
(neg.f32 (*.f32 alphax alphax))
(+ (* -1 (/ (pow alphax 2) u0)) (* -1 (pow alphax 2)))
(+.f32 (neg.f32 (/.f32 (.f32 alphax alphax) u0)) (neg.f32 (.f32 alphax alphax)))
(- (+ (* -1 (/ (pow alphax 2) (pow u0 2))) (* -1 (pow alphax 2))) (/ (pow alphax 2) u0))
(-.f32 (+.f32 (/.f32 (neg.f32 (.f32 alphax alphax)) (.f32 u0 u0)) (neg.f32 (.f32 alphax alphax))) (/.f32 (.f32 alphax alphax) u0))
(- (+ (* -1 (/ (pow alphax 2) (pow u0 3))) (* -1 (pow alphax 2))) (+ (/ (pow alphax 2) u0) (/ (pow alphax 2) (pow u0 2))))
(-.f32 (+.f32 (/.f32 (neg.f32 (.f32 alphax alphax)) (.f32 u0 (.f32 u0 u0))) (neg.f32 (.f32 alphax alphax))) (+.f32 (/.f32 (.f32 alphax alphax) u0) (/.f32 (.f32 alphax alphax) (*.f32 u0 u0))))
(* -1 (pow alphax 2))
(neg.f32 (*.f32 alphax alphax))
(+ (* -1 (/ (pow alphax 2) u0)) (* -1 (pow alphax 2)))
(+.f32 (neg.f32 (/.f32 (.f32 alphax alphax) u0)) (neg.f32 (.f32 alphax alphax)))
(+ (* -1 (/ (+ (/ (pow alphax 2) u0) (pow alphax 2)) u0)) (* -1 (pow alphax 2)))
(+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 (.f32 alphax alphax) u0) (.f32 alphax alphax)) u0)) (neg.f32 (*.f32 alphax alphax)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow alphax 2) u0)) (* -1 (pow alphax 2))) u0)) (pow alphax 2)) u0)) (* -1 (pow alphax 2)))
(+.f32 (neg.f32 (/.f32 (+.f32 (neg.f32 (neg.f32 (/.f32 (+.f32 (/.f32 (.f32 alphax alphax) u0) (.f32 alphax alphax)) u0))) (.f32 alphax alphax)) u0)) (neg.f32 (.f32 alphax alphax)))
(/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI))))
(/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))))
(+ (* u1 (- (* 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 u1 (fma.f32 #s(literal 2 binary32) (PI.f32) (.f32 #s(literal 2 binary32) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))))
(+ (* u1 (- (+ (* 2 (PI)) (* 2 (/ (* u1 (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (cos (* 1/2 (PI)))))) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI)))))
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(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1/8 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (pow u0 3))) (* 1/64 (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (* (pow u0 3) (pow (sqrt 1/2) 2))))) (* (pow alphay 4) (sqrt 1/2))) (sqrt (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (+ (* -1/8 (* (/ 1 (* (pow alphay 2) (sqrt 1/2))) (sqrt (/ (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)) (pow u0 3))))) (* (sqrt (/ (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0)) (sqrt 1/2)))) alphay))
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(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 alphay alphay) u0)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 alphay alphay) u0)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 alphay alphay) u0)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 alphay alphay) u0)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 alphay alphay) u0)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 alphay alphay) u0)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 alphay alphay) u0)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 alphay alphay) u0)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 alphay alphay) u0)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 alphay alphay) u0)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 alphay alphay) u0)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 alphay alphay) u0)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 alphay alphay) u0)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 alphay alphay) u0)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 alphay alphay) u0)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 alphay alphay) u0)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 alphay alphay) u0)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 alphay alphay) u0)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 alphay alphay) u0)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 alphay alphay) u0)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 alphay alphay) u0)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 alphay alphay) u0)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 alphay alphay) u0)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(* 1/2 (PI))
(*.f32 #s(literal 1/2 binary32) (PI.f32))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))
(* 2 (* u1 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(.f32 u1 (fma.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u1) (.f32 #s(literal 2 binary32) (PI.f32))))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(.f32 u1 (fma.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u1) (.f32 #s(literal 2 binary32) (PI.f32))))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(.f32 u1 (fma.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u1) (.f32 #s(literal 2 binary32) (PI.f32))))
(* 2 (* u1 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(neg.f32 (.f32 u1 (fma.f32 #s(literal -2 binary32) (PI.f32) (/.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)) u1))))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(neg.f32 (.f32 u1 (fma.f32 #s(literal -2 binary32) (PI.f32) (/.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)) u1))))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(neg.f32 (.f32 u1 (fma.f32 #s(literal -2 binary32) (PI.f32) (/.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)) u1))))

rewrite654.0ms (2.6%)

Memory

-42.3MiB live, 542.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 000×	`lower-*.f64`
4 968×	`lower-*.f32`
3 986×	`lower-/.f64`
3 962×	`lower-/.f32`
2 948×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	1454
0	208	1346
1	948	1262
0	8586	1241

Stop Event

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

Counts

29 → 438

Calls

Call 1

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

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

eval353.0ms (1.4%)

Memory: 7.2MiB live, 751.8MiB allocated
Compiler: Compiled 288 144 to 7 163 computations (97.5% saved)

prune592.0ms (2.3%)

Memory

1.8MiB live, 393.2MiB allocated

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	1 892	10	1 902
Fresh	2	12	14
Picked	3	2	5
Done	0	1	1
Total	1 897	25	1 922

Accuracy

100.0%

Counts

1 922 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.1%	(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/4 binary32)) #s(literal 2 binary32))
	87.0%	(pow.f32 (/.f32 (-.f32 (.f32 #s(approx (/ ( (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)))) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))))) #s(literal 1 binary32)) (-.f32 #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))) #s(literal -1/2 binary32))
	48.6%	(pow.f32 (+.f32 #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphax (fma.f32 alphax (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)) alphax))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
	97.6%	(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))))) #s(literal -1/2 binary32))
	86.6%	(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (.f32 (.f32 #s(literal 2 binary32) u1) (PI.f32))))) #s(literal 2 binary32)))))) #s(literal -1/2 binary32))
	48.6%	(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (.f32 u0 (.f32 alphax alphax)) (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/2 binary32))
✓	87.0%	(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/2 binary32))
	87.2%	(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) #s(approx (/ (* (* alphax alphax) u0) (- 1 u0)) (.f32 (.f32 alphax alphax) u0))))) #s(literal -1/2 binary32))
	87.1%	(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) #s(approx (/ (* (* alphax alphax) u0) (- 1 u0)) (.f32 u0 (fma.f32 (.f32 alphax alphax) u0 (*.f32 alphax alphax))))))) #s(literal -1/2 binary32))
	99.3%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (.f32 alphay alphay))))) #s(literal 1 binary32))))
	97.2%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))))) #s(literal 1 binary32))))
	48.6%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) #s(literal 1 binary32))))
	92.1%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) #s(approx (+ (/ (/ 1 (+ 1 (pow ( (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))))))))
✓	100.0%	(exp.f32 (.f32 (log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (fma.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)) alphax alphax))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (.f32 alphay alphay)))))) #s(literal -1/2 binary32)))
	99.1%	(exp.f32 (.f32 (log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (/.f32 #s(approx (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) #s(literal 1 binary32)) (*.f32 alphay alphay)))))) #s(literal -1/2 binary32)))
✓	90.7%	#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))
	95.5%	#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (fma.f32 (neg.f32 (.f32 alphay alphay)) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))) #s(literal 1 binary32)))
	97.5%	#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 #s(approx ( (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) alphax))))))) #s(literal 1 binary32)))))
	94.3%	#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 alphay alphay) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))))
	97.4%	#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1) (.f32 (.f32 alphay alphay) (fma.f32 #s(literal 2 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) #s(approx (+ 1/2 (* 2 u1)) #s(literal 1/2 binary32))))) alphax))))))) (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay))))))))
	94.4%	#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) #s(approx (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1))) (fma.f32 (.f32 alphay alphay) (/.f32 u0 (neg.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))))))) #s(literal 1 binary32))))
	94.3%	#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) #s(approx (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1))) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) #s(approx (+ 1/2 ( 2 u1)) #s(literal 1/2 binary32))))) alphax))))))))))
	93.9%	#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) #s(approx (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1))) #s(approx (+ 1 (neg (/ (* (* alphay alphay) u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (.f32 (.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 alphay alphay)) (/.f32 u0 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))))
	93.8%	#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) #s(approx (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1))) #s(approx (+ 1 (neg (/ (* (* alphay alphay) u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (.f32 u0 (-.f32 (/.f32 #s(literal 1 binary32) u0) (/.f32 (.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))))))))
	91.1%	#s(approx (exp (* (log (+ 1 (/ u0 (* (- 1 u0) (+ (/ 1 (* alphax (+ (* (pow (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))) 2) alphax) alphax))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))))))) -1/2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.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)) (.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))))) (-.f32 #s(literal 1 binary32) u0)))))))

Compiler

Compiled 2 486 to 872 computations (64.9% saved)

regimes401.0ms (1.6%)

Memory

-18.0MiB live, 229.6MiB allocated

Counts

44 → 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))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) #s(approx (/ (* (* alphax alphax) u0) (- 1 u0)) (.f32 (.f32 alphax alphax) u0))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) #s(approx (/ (* (* alphax alphax) u0) (- 1 u0)) (.f32 u0 (fma.f32 (.f32 alphax alphax) u0 (*.f32 alphax alphax))))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/2 binary32))
(pow.f32 (/.f32 (-.f32 (.f32 #s(approx (/ ( (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)))) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))))) #s(literal 1 binary32)) (-.f32 #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(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) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))))) #s(literal 1 binary32))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) #s(approx (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1))) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) #s(approx (+ 1/2 ( 2 u1)) #s(literal 1/2 binary32))))) alphax))))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) #s(approx (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1))) (fma.f32 (.f32 alphay alphay) (/.f32 u0 (neg.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))))))) #s(literal 1 binary32))))
(pow.f32 (+.f32 #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphax (fma.f32 alphax (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)) alphax))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) #s(approx (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1))) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (.f32 (.f32 #s(literal 2 binary32) u1) (PI.f32))))) #s(literal 2 binary32)))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (.f32 u0 (.f32 alphax alphax)) (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) #s(literal -1/2 binary32))
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(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32))))))))) (.f32 (*.f32 alphay alphay) #s(literal 2 binary32)))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32))))))))) (.f32 (.f32 alphay alphay) #s(literal 2 binary32))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 u0 (fma.f32 (.f32 alphax alphax) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))))))))) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (.f32 alphay alphay)))) (.f32 alphax (.f32 alphax (*.f32 alphay alphay)))) (-.f32 #s(literal 1 binary32) u0)))))
(exp.f32 (.f32 (log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (fma.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)) alphax alphax))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (.f32 alphay alphay)))))) #s(literal -1/2 binary32)))
(exp.f32 (.f32 (log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay)))))) #s(literal -1/2 binary32)))
(/.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

(exp.f32 (*.f32 (log1p.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax (fma.f32 (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)) alphax alphax))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (*.f32 alphay alphay)))))) #s(literal -1/2 binary32)))

Calls

13 calls:

133.0ms	(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))))
51.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)
46.0ms	alphay
33.0ms	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
30.0ms	(/.f32 (.f32 (/.f32 #s(literal 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
100.0%	1	`u0`
100.0%	1	`u1`
100.0%	1	`alphax`
100.0%	1	`alphay`
100.0%	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)))))
100.0%	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))))
100.0%	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)))
100.0%	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))
100.0%	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))))
100.0%	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)))
100.0%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
100.0%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
100.0%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`

Compiler

Compiled 574 to 219 computations (61.8% saved)

regimes263.0ms (1%)

Memory

10.9MiB live, 208.8MiB allocated

Counts

41 → 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))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) #s(approx (/ (* (* alphax alphax) u0) (- 1 u0)) (.f32 (.f32 alphax alphax) u0))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) #s(approx (/ (* (* alphax alphax) u0) (- 1 u0)) (.f32 u0 (fma.f32 (.f32 alphax alphax) u0 (*.f32 alphax alphax))))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/2 binary32))
(pow.f32 (/.f32 (-.f32 (.f32 #s(approx (/ ( (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)))) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))))) #s(literal 1 binary32)) (-.f32 #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/4 binary32)) #s(literal 2 binary32))
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#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1) (.f32 (.f32 alphay alphay) (fma.f32 #s(literal 2 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))))) (/.f32 #s(literal 1 binary32) (.f32 alphay alphay))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) #s(approx (+ (/ (/ 1 (+ 1 (pow ( (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))))
(exp.f32 (.f32 (log1p.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) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))))) #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphax alphax)) (.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32))))) (/.f32 alphay alphax)))) #s(literal 2 binary32))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphax alphax)) (.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32))))))))
(exp.f32 (.f32 (log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (/.f32 #s(approx (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) #s(literal 1 binary32)) (*.f32 alphay alphay)))))) #s(literal -1/2 binary32)))
#s(approx (exp (* (log (+ 1 (/ u0 (* (- 1 u0) (+ (/ 1 (* alphax (* alphax (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))))))) -1/2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.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)) (.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))))) (-.f32 #s(literal 1 binary32) u0)))))))
#s(approx (exp (* (log (+ 1 (/ u0 (* (- 1 u0) (+ (/ 1 (* alphax (+ (* (pow (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))) 2) alphax) alphax))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))))))) -1/2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.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)) (.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))))) (-.f32 #s(literal 1 binary32) u0)))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (.f32 alphay alphay))))) #s(literal 1 binary32))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (fma.f32 alphax (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)) alphax))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32))))) (*.f32 alphay alphay)))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (.f32 alphay alphay)))))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32))))))))) (.f32 (*.f32 alphay alphay) #s(literal 2 binary32)))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32))))))))) (.f32 (.f32 alphay alphay) #s(literal 2 binary32))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 u0 (fma.f32 (.f32 alphax alphax) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))))))))) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (.f32 alphay alphay)))) (.f32 alphax (.f32 alphax (*.f32 alphay alphay)))) (-.f32 #s(literal 1 binary32) u0)))))

Outputs

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

Calls

13 calls:

40.0ms	(+.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)))
40.0ms	(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
34.0ms	(+.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)))
32.0ms	(/.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)))))
22.0ms	u1

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 574 to 219 computations (61.8% saved)

regimes249.0ms (1%)

Memory

2.9MiB live, 166.2MiB allocated

Counts

36 → 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))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) #s(approx (/ (* (* alphax alphax) u0) (- 1 u0)) (.f32 (.f32 alphax alphax) u0))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) #s(approx (/ (* (* alphax alphax) u0) (- 1 u0)) (.f32 u0 (fma.f32 (.f32 alphax alphax) u0 (*.f32 alphax alphax))))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/2 binary32))
(pow.f32 (/.f32 (-.f32 (.f32 #s(approx (/ ( (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)))) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))))) #s(literal 1 binary32)) (-.f32 #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(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) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))))) #s(literal 1 binary32))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) #s(approx (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1))) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) #s(approx (+ 1/2 ( 2 u1)) #s(literal 1/2 binary32))))) alphax))))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) #s(approx (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1))) (fma.f32 (.f32 alphay alphay) (/.f32 u0 (neg.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))))))) #s(literal 1 binary32))))
(pow.f32 (+.f32 #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphax (fma.f32 alphax (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)) alphax))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) #s(approx (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1))) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (.f32 (.f32 #s(literal 2 binary32) u1) (PI.f32))))) #s(literal 2 binary32)))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (.f32 u0 (.f32 alphax alphax)) (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) #s(literal -1/2 binary32))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (fma.f32 (neg.f32 (.f32 alphay alphay)) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))) #s(literal 1 binary32)))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) #s(approx (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1))) #s(approx (+ 1 (neg (/ (* (* alphay alphay) u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (.f32 u0 (-.f32 (/.f32 #s(literal 1 binary32) u0) (/.f32 (.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 #s(approx (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1)) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -2 binary32) (.f32 (.f32 alphay alphay) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) #s(approx (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1))) #s(approx (+ 1 (neg (/ (* (* alphay alphay) u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (.f32 (.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 alphay alphay)) (/.f32 u0 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))))) #s(literal -1/2 binary32))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 #s(approx ( (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) alphax))))))) #s(literal 1 binary32)))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 alphay alphay) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphax alphax)) (.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1) (.f32 (.f32 alphay alphay) (fma.f32 #s(literal 2 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) #s(approx (+ 1/2 (* 2 u1)) #s(literal 1/2 binary32))))) alphax))))))) (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1) (.f32 (.f32 alphay alphay) (fma.f32 #s(literal 2 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))))) (/.f32 #s(literal 1 binary32) (.f32 alphay alphay))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) #s(approx (+ (/ (/ 1 (+ 1 (pow ( (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))))
(exp.f32 (.f32 (log1p.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) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))))) #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphax alphax)) (.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32))))) (/.f32 alphay alphax)))) #s(literal 2 binary32))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphax alphax)) (.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32))))))))
(exp.f32 (.f32 (log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (/.f32 #s(approx (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) #s(literal 1 binary32)) (*.f32 alphay alphay)))))) #s(literal -1/2 binary32)))
#s(approx (exp (* (log (+ 1 (/ u0 (* (- 1 u0) (+ (/ 1 (* alphax (* alphax (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))))))) -1/2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.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)) (.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))))) (-.f32 #s(literal 1 binary32) u0)))))))
#s(approx (exp (* (log (+ 1 (/ u0 (* (- 1 u0) (+ (/ 1 (* alphax (+ (* (pow (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))) 2) alphax) alphax))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))))))) -1/2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.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)) (.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))))) (-.f32 #s(literal 1 binary32) u0)))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (.f32 alphay alphay))))) #s(literal 1 binary32))))

Outputs

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

Calls

13 calls:

78.0ms	(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
42.0ms	(/.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)))))
23.0ms	(/.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))
12.0ms	u1
11.0ms	(+.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
99.3%	1	`u0`
99.3%	1	`u1`
99.3%	1	`alphax`
99.3%	1	`alphay`
99.3%	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)))))
99.3%	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))))
99.3%	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)))
99.3%	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))
99.3%	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))))
99.3%	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)))
99.3%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
99.3%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
99.3%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`

Compiler

Compiled 574 to 219 computations (61.8% saved)

regimes218.0ms (0.9%)

Memory

4.3MiB live, 211.1MiB allocated

Counts

35 → 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))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) #s(approx (/ (* (* alphax alphax) u0) (- 1 u0)) (.f32 (.f32 alphax alphax) u0))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) #s(approx (/ (* (* alphax alphax) u0) (- 1 u0)) (.f32 u0 (fma.f32 (.f32 alphax alphax) u0 (*.f32 alphax alphax))))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/2 binary32))
(pow.f32 (/.f32 (-.f32 (.f32 #s(approx (/ ( (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)))) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))))) #s(literal 1 binary32)) (-.f32 #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(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) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))))) #s(literal 1 binary32))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) #s(approx (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1))) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) #s(approx (+ 1/2 ( 2 u1)) #s(literal 1/2 binary32))))) alphax))))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) #s(approx (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1))) (fma.f32 (.f32 alphay alphay) (/.f32 u0 (neg.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))))))) #s(literal 1 binary32))))
(pow.f32 (+.f32 #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphax (fma.f32 alphax (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)) alphax))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) #s(approx (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1))) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (.f32 (.f32 #s(literal 2 binary32) u1) (PI.f32))))) #s(literal 2 binary32)))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (.f32 u0 (.f32 alphax alphax)) (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) #s(literal -1/2 binary32))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (fma.f32 (neg.f32 (.f32 alphay alphay)) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))) #s(literal 1 binary32)))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) #s(approx (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1))) #s(approx (+ 1 (neg (/ (* (* alphay alphay) u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (.f32 u0 (-.f32 (/.f32 #s(literal 1 binary32) u0) (/.f32 (.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 #s(approx (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1)) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -2 binary32) (.f32 (.f32 alphay alphay) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) #s(approx (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1))) #s(approx (+ 1 (neg (/ (* (* alphay alphay) u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (.f32 (.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 alphay alphay)) (/.f32 u0 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))))) #s(literal -1/2 binary32))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 #s(approx ( (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) alphax))))))) #s(literal 1 binary32)))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 alphay alphay) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphax alphax)) (.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1) (.f32 (.f32 alphay alphay) (fma.f32 #s(literal 2 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) #s(approx (+ 1/2 (* 2 u1)) #s(literal 1/2 binary32))))) alphax))))))) (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1) (.f32 (.f32 alphay alphay) (fma.f32 #s(literal 2 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))))) (/.f32 #s(literal 1 binary32) (.f32 alphay alphay))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) #s(approx (+ (/ (/ 1 (+ 1 (pow ( (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))))
(exp.f32 (.f32 (log1p.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) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))))) #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphax alphax)) (.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32))))) (/.f32 alphay alphax)))) #s(literal 2 binary32))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphax alphax)) (.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32))))))))
(exp.f32 (.f32 (log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (/.f32 #s(approx (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) #s(literal 1 binary32)) (*.f32 alphay alphay)))))) #s(literal -1/2 binary32)))
#s(approx (exp (* (log (+ 1 (/ u0 (* (- 1 u0) (+ (/ 1 (* alphax (* alphax (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))))))) -1/2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.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)) (.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))))) (-.f32 #s(literal 1 binary32) u0)))))))
#s(approx (exp (* (log (+ 1 (/ u0 (* (- 1 u0) (+ (/ 1 (* alphax (+ (* (pow (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))) 2) alphax) alphax))) (/ (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) (* alphay alphay))))))) -1/2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.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)) (.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))))) (-.f32 #s(literal 1 binary32) u0)))))))

Outputs

(exp.f32 (*.f32 (log1p.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax (*.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (/.f32 #s(approx (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) #s(literal 1 binary32)) (*.f32 alphay alphay)))))) #s(literal -1/2 binary32)))

Calls

13 calls:

33.0ms	(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))))
28.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)
27.0ms	u0
26.0ms	(+.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)))
24.0ms	alphax

Results

Accuracy	Segments	Branch
99.1%	1	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
99.1%	1	(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
99.1%	1	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
99.1%	1	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
99.1%	1	`u0`
99.1%	1	`u1`
99.1%	1	`alphax`
99.1%	1	`alphay`
99.1%	1	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
99.1%	1	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
99.1%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
99.1%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
99.1%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`

Compiler

Compiled 574 to 219 computations (61.8% saved)

regimes131.0ms (0.5%)

Memory

-15.8MiB live, 297.3MiB allocated

Counts

32 → 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))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) #s(approx (/ (* (* alphax alphax) u0) (- 1 u0)) (.f32 (.f32 alphax alphax) u0))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) #s(approx (/ (* (* alphax alphax) u0) (- 1 u0)) (.f32 u0 (fma.f32 (.f32 alphax alphax) u0 (*.f32 alphax alphax))))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/2 binary32))
(pow.f32 (/.f32 (-.f32 (.f32 #s(approx (/ ( (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)))) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))))) #s(literal 1 binary32)) (-.f32 #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(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) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))))) #s(literal 1 binary32))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) #s(approx (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1))) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) #s(approx (+ 1/2 ( 2 u1)) #s(literal 1/2 binary32))))) alphax))))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) #s(approx (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1))) (fma.f32 (.f32 alphay alphay) (/.f32 u0 (neg.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))))))) #s(literal 1 binary32))))
(pow.f32 (+.f32 #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphax (fma.f32 alphax (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)) alphax))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) #s(approx (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1))) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (.f32 (.f32 #s(literal 2 binary32) u1) (PI.f32))))) #s(literal 2 binary32)))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (.f32 u0 (.f32 alphax alphax)) (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) #s(literal -1/2 binary32))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (fma.f32 (neg.f32 (.f32 alphay alphay)) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))) #s(literal 1 binary32)))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) #s(approx (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1))) #s(approx (+ 1 (neg (/ (* (* alphay alphay) u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (.f32 u0 (-.f32 (/.f32 #s(literal 1 binary32) u0) (/.f32 (.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 #s(approx (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1)) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -2 binary32) (.f32 (.f32 alphay alphay) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) #s(approx (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1))) #s(approx (+ 1 (neg (/ (* (* alphay alphay) u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (.f32 (.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 alphay alphay)) (/.f32 u0 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))))) #s(literal -1/2 binary32))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 #s(approx ( (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) alphax))))))) #s(literal 1 binary32)))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 alphay alphay) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphax alphax)) (.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1) (.f32 (.f32 alphay alphay) (fma.f32 #s(literal 2 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) #s(approx (+ 1/2 (* 2 u1)) #s(literal 1/2 binary32))))) alphax))))))) (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1) (.f32 (.f32 alphay alphay) (fma.f32 #s(literal 2 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))))) (/.f32 #s(literal 1 binary32) (.f32 alphay alphay))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) #s(approx (+ (/ (/ 1 (+ 1 (pow ( (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))))
(exp.f32 (.f32 (log1p.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) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))))) #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphax alphax)) (.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32))))) (/.f32 alphay alphax)))) #s(literal 2 binary32))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphax alphax)) (.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32))))))))

Outputs

(exp.f32 (*.f32 (log1p.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) (- 1 u0)) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))))) #s(literal -1/2 binary32)))

Calls

13 calls:

11.0ms	(+.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)))
11.0ms	alphay
11.0ms	alphax
11.0ms	(/.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))
10.0ms	u0

Results

Accuracy	Segments	Branch
97.7%	1	`u0`
97.7%	1	`u1`
97.7%	1	`alphax`
97.7%	1	`alphay`
97.7%	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)))))
97.7%	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))))
97.7%	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)))
97.7%	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))
97.7%	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))))
97.7%	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)))
97.7%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
97.7%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
97.7%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`

Compiler

Compiled 574 to 219 computations (61.8% saved)

regimes207.0ms (0.8%)

Memory

-17.7MiB live, 187.2MiB allocated

Counts

28 → 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))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) #s(approx (/ (* (* alphax alphax) u0) (- 1 u0)) (.f32 (.f32 alphax alphax) u0))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) #s(approx (/ (* (* alphax alphax) u0) (- 1 u0)) (.f32 u0 (fma.f32 (.f32 alphax alphax) u0 (*.f32 alphax alphax))))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/2 binary32))
(pow.f32 (/.f32 (-.f32 (.f32 #s(approx (/ ( (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)))) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))))) #s(literal 1 binary32)) (-.f32 #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(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) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))))) #s(literal 1 binary32))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) #s(approx (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1))) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) #s(approx (+ 1/2 ( 2 u1)) #s(literal 1/2 binary32))))) alphax))))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) #s(approx (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1))) (fma.f32 (.f32 alphay alphay) (/.f32 u0 (neg.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))))))) #s(literal 1 binary32))))
(pow.f32 (+.f32 #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphax (fma.f32 alphax (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)) alphax))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) #s(approx (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1))) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (.f32 (.f32 #s(literal 2 binary32) u1) (PI.f32))))) #s(literal 2 binary32)))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (.f32 u0 (.f32 alphax alphax)) (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) #s(literal -1/2 binary32))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (fma.f32 (neg.f32 (.f32 alphay alphay)) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))) #s(literal 1 binary32)))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) #s(approx (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1))) #s(approx (+ 1 (neg (/ (* (* alphay alphay) u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (.f32 u0 (-.f32 (/.f32 #s(literal 1 binary32) u0) (/.f32 (.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 #s(approx (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1)) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -2 binary32) (.f32 (.f32 alphay alphay) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) #s(approx (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1))) #s(approx (+ 1 (neg (/ (* (* alphay alphay) u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (.f32 (.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 alphay alphay)) (/.f32 u0 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))))) #s(literal -1/2 binary32))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 #s(approx ( (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) alphax))))))) #s(literal 1 binary32)))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 alphay alphay) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphax alphax)) (.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1) (.f32 (.f32 alphay alphay) (fma.f32 #s(literal 2 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) #s(approx (+ 1/2 (* 2 u1)) #s(literal 1/2 binary32))))) alphax))))))) (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1) (.f32 (.f32 alphay alphay) (fma.f32 #s(literal 2 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))))) (/.f32 #s(literal 1 binary32) (.f32 alphay alphay))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) #s(approx (+ (/ (/ 1 (+ 1 (pow ( (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))) (.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 alphay (.f32 alphay u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))))

Outputs

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

Calls

13 calls:

43.0ms	alphay
43.0ms	(+.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)))
37.0ms	u0
8.0ms	(/.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))))
8.0ms	(/.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))

Results

Accuracy	Segments	Branch
97.6%	1	`u0`
97.6%	1	`u1`
97.6%	1	`alphax`
97.6%	1	`alphay`
97.6%	1	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
97.6%	1	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
97.6%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
97.6%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
97.6%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`
97.6%	1	(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
97.6%	1	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
97.6%	1	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
97.6%	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)))

Compiler

Compiled 574 to 219 computations (61.8% saved)

regimes84.0ms (0.3%)

Memory

27.8MiB live, 105.0MiB allocated

Counts

19 → 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))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) #s(approx (/ (* (* alphax alphax) u0) (- 1 u0)) (.f32 (.f32 alphax alphax) u0))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) #s(approx (/ (* (* alphax alphax) u0) (- 1 u0)) (.f32 u0 (fma.f32 (.f32 alphax alphax) u0 (*.f32 alphax alphax))))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/2 binary32))
(pow.f32 (/.f32 (-.f32 (.f32 #s(approx (/ ( (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)))) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))))) #s(literal 1 binary32)) (-.f32 #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(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) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))))) #s(literal 1 binary32))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) #s(approx (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1))) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) #s(approx (+ 1/2 ( 2 u1)) #s(literal 1/2 binary32))))) alphax))))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) #s(approx (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1))) (fma.f32 (.f32 alphay alphay) (/.f32 u0 (neg.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))))))) #s(literal 1 binary32))))
(pow.f32 (+.f32 #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphax (fma.f32 alphax (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)) alphax))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) #s(approx (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1))) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (* (PI) (+ (* 2 u1) 1/2)) (.f32 (.f32 #s(literal 2 binary32) u1) (PI.f32))))) #s(literal 2 binary32)))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (.f32 u0 (.f32 alphax alphax)) (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) #s(literal -1/2 binary32))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (fma.f32 (neg.f32 (.f32 alphay alphay)) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))) #s(literal 1 binary32)))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) #s(approx (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1))) #s(approx (+ 1 (neg (/ (* (* alphay alphay) u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (.f32 u0 (-.f32 (/.f32 #s(literal 1 binary32) u0) (/.f32 (.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) (sqrt.f32 #s(approx (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1)) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -2 binary32) (.f32 (.f32 alphay alphay) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))) 2))) (* alphax alphax)) (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2)))))))) (* (* alphay alphay) 2)))))))) #s(approx (sqrt (/ 1 (+ (* 2 (/ (* (* alphay alphay) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)))))))) 1))) #s(approx (+ 1 (neg (/ (* (* alphay alphay) u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (.f32 (.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 alphay alphay)) (/.f32 u0 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))))

Outputs

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

Calls

13 calls:

10.0ms	(+.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)))
7.0ms	(/.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)))))
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))))
6.0ms	(/.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))
6.0ms	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))

Results

Accuracy	Segments	Branch
97.2%	1	`alphax`
97.2%	1	`u0`
97.2%	1	(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
97.2%	1	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
97.2%	1	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
97.2%	1	`u1`
97.2%	1	`alphay`
97.2%	1	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
97.2%	1	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
97.2%	1	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
97.2%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
97.2%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
97.2%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`

Compiler

Compiled 574 to 219 computations (61.8% saved)

regimes162.0ms (0.6%)

Memory

-25.6MiB live, 94.5MiB allocated

Accuracy

Total -13.6b remaining (-457.6%)

Threshold costs -13.6b (-457.6%)

Counts

7 → 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))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) #s(approx (/ (* (* alphax alphax) u0) (- 1 u0)) (.f32 (.f32 alphax alphax) u0))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) #s(approx (/ (* (* alphax alphax) u0) (- 1 u0)) (.f32 u0 (fma.f32 (.f32 alphax alphax) u0 (*.f32 alphax alphax))))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/2 binary32))
(pow.f32 (/.f32 (-.f32 (.f32 #s(approx (/ ( (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)))) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))))) #s(literal 1 binary32)) (-.f32 #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) #s(approx (* (/ (* u0 (* alphax alphax)) (- 1 u0)) (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (.f32 (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) #s(literal 1 binary32))))

Outputs

#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay 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:

62.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)
41.0ms	(/.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))
28.0ms	u1
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 (cos.f32 (atan.f32 (.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
90.7%	1	`u1`
90.7%	1	`alphax`
90.7%	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)))))
90.7%	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)))
90.7%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
90.7%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
90.7%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`
90.7%	1	`u0`
90.7%	1	`alphay`
90.7%	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))))
90.7%	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)))
90.7%	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))
90.7%	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))))

Compiler

Compiled 574 to 219 computations (61.8% saved)

simplify14.0ms (0.1%)

Memory

24.1MiB live, 24.1MiB allocated

Algorithm

1×	egg-herbie

Rules

42×	`*-commutative_binary32`
32×	`+-commutative_binary32`
14×	`sub-neg_binary32`
10×	`neg-sub0_binary32`
10×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	664
1	144	664
2	154	664
3	165	664
4	181	664
5	184	664
6	185	664

Stop Event

1×

saturated

Calls

Call 1

Inputs
(exp.f32 (.f32 (log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (fma.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)) alphax alphax))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (.f32 alphay alphay)))))) #s(literal -1/2 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (fma.f32 alphax (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)) alphax))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32))))) (*.f32 alphay alphay)))))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (.f32 alphay alphay))))) #s(literal 1 binary32))))
(exp.f32 (.f32 (log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (/.f32 #s(approx (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) #s(literal 1 binary32)) (*.f32 alphay alphay)))))) #s(literal -1/2 binary32)))
(exp.f32 (.f32 (log1p.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) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))))) #s(literal -1/2 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))))) #s(literal 1 binary32))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))

Outputs
(exp.f32 (.f32 (log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (fma.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)) alphax alphax))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (.f32 alphay alphay)))))) #s(literal -1/2 binary32)))
(exp.f32 (.f32 (log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (fma.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)) alphax alphax))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32))))) (.f32 alphay alphay)))))) #s(literal -1/2 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (fma.f32 alphax (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)) alphax))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32))))) (*.f32 alphay alphay)))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32))))) (.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (.f32 alphax (fma.f32 alphax (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)) alphax))))))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))) (.f32 alphay alphay))))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32))))) (.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32))))))))))))
(exp.f32 (.f32 (log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))) (/.f32 #s(approx (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) #s(literal 1 binary32)) (*.f32 alphay alphay)))))) #s(literal -1/2 binary32)))
(exp.f32 (.f32 #s(literal -1/2 binary32) (log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)))))) (/.f32 #s(approx (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))) #s(literal 1 binary32)) (*.f32 alphay alphay))))))))
(exp.f32 (.f32 (log1p.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) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))))) #s(literal -1/2 binary32)))
(exp.f32 (.f32 #s(literal -1/2 binary32) (log1p.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) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)))))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) #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) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))))))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32))))))))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))))))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) #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) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)))))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))

soundness2.0s (7.7%)

Memory

4.5MiB live, 1 760.7MiB allocated

Rules

10 506×	`lower-fma.f64`
10 506×	`lower-fma.f32`
8 346×	`lower-*.f64`
8 346×	`lower-*.f32`
7 254×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2098	133276
1	6615	132757
0	8111	124789
0	318	11442
1	1035	10429
2	4377	10424
0	8516	9893
0	29	310
0	51	205
1	204	189
2	1855	189
0	8810	179
0	92	1355
0	156	1110
1	671	950
2	5999	890
0	8568	890
0	3084	203417
0	8204	201795
0	116	1377
0	175	1137
1	804	1022
2	7822	1016
0	8485	1008

Stop Event

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

Compiler

Compiled 540 to 167 computations (69.1% saved)

preprocess51.0ms (0.2%)

Memory: 1.1MiB live, 160.4MiB allocated
Compiler: Compiled 806 to 196 computations (75.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.2s (4.8%)

sample4.0s (15.6%)

preprocess328.0ms (1.3%)

explain824.0ms (3.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify306.0ms (1.2%)

localize201.0ms (0.8%)

series119.0ms (0.5%)

simplify493.0ms (1.9%)

rewrite571.0ms (2.2%)

eval272.0ms (1.1%)

prune111.0ms (0.4%)

simplify345.0ms (1.4%)

localize532.0ms (2.1%)

series440.0ms (1.7%)

simplify880.0ms (3.4%)

rewrite351.0ms (1.4%)

eval1.1s (4.3%)

prune481.0ms (1.9%)

simplify321.0ms (1.3%)

localize637.0ms (2.5%)

series871.0ms (3.4%)

simplify1.3s (5.2%)

rewrite390.0ms (1.5%)

eval462.0ms (1.8%)

prune291.0ms (1.1%)

simplify398.0ms (1.6%)

localize740.0ms (2.9%)

series665.0ms (2.6%)

simplify1.5s (5.9%)

rewrite654.0ms (2.6%)

eval353.0ms (1.4%)

prune592.0ms (2.3%)

regimes401.0ms (1.6%)

regimes263.0ms (1%)

regimes249.0ms (1%)

regimes218.0ms (0.9%)

regimes131.0ms (0.5%)

regimes207.0ms (0.8%)

regimes84.0ms (0.3%)

regimes162.0ms (0.6%)

simplify14.0ms (0.1%)

soundness2.0s (7.7%)

preprocess51.0ms (0.2%)

end0.0ms (0%)

Profiling