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

analyze1.2s (4.7%)

Memory

22.8MiB live, 2 221.3MiB 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)

sample4.3s (17.3%)

Memory

24.3MiB live, 6 474.9MiB allocated

Samples

3.6s

8 256×

valid

Precisions

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

ival-mult: 607.0ms (18.7% of total)

ival-add: 436.0ms (13.4% of total)

ival-div: 372.0ms (11.5% of total)

ival-cos: 336.0ms (10.3% of total)

ival-tan: 332.0ms (10.2% of total)

const: 280.0ms (8.6% of total)

ival-sin: 278.0ms (8.6% of total)

ival-<=: 224.0ms (6.9% of total)

ival-atan: 169.0ms (5.2% of total)

ival-pi: 57.0ms (1.8% of total)

ival-sqrt: 57.0ms (1.8% of total)

ival-and: 45.0ms (1.4% of total)

ival-sub: 35.0ms (1.1% of total)

exact: 13.0ms (0.4% of total)

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

Bogosity

preprocess292.0ms (1.2%)

Memory

34.3MiB live, 433.6MiB 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))))))

explain534.0ms (2.1%)

Memory

4.2MiB live, 1 071.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
188	2	(9.703214232104074e-9 2.6708245059126057e-5 0.09853418916463852 0.004170569125562906)	6	(1.021357775243814e-6 0.0006491733947768807 0.2638477683067322 0.040589746087789536)	`(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))`
182	4	(0.010557236149907112 0.0014299084432423115 0.021580899134278297 0.00038812076672911644)	7	(0.010908357799053192 0.001878230134025216 0.1367007941007614 0.002039653714746237)	`(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	184	11
`tan.f32`	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`	cancellation	179	13

Confusion

	Predicted +	Predicted -
+	1	0
-	205	50

Precision

0.0048543689320388345

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	205	10	40

Precision?

0.004629629629629629

Recall?

1.0

Freqs

test

number	freq
0	50
1	49
2	157

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

152.0ms

512×

valid

Compiler

Compiled 1 836 to 132 computations (92.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-mult: 32.0ms (25.9% of total)

ival-div: 20.0ms (16.2% of total)

ival-tan: 18.0ms (14.6% of total)

ival-cos: 16.0ms (12.9% of total)

ival-sin: 15.0ms (12.1% of total)

ival-add: 7.0ms (5.7% of total)

ival-atan: 6.0ms (4.9% of total)

ival-sub: 3.0ms (2.4% of total)

ival-sqrt: 3.0ms (2.4% of total)

ival-pi: 2.0ms (1.6% of total)

ival-true: 1.0ms (0.8% of total)

exact: 1.0ms (0.8% of total)

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

eval0.0ms (0%)

Memory: 0.8MiB live, 0.8MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

99.4%

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

Compiler

Compiled 92 to 32 computations (65.2% saved)

simplify247.0ms (1%)

Memory

-53.1MiB live, 366.1MiB 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)

localize158.0ms (0.6%)

Memory

2.3MiB live, 280.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.8%	(.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	98.5%	(.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.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	63.2%	(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
✓	accuracy	59.9%	(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

72.0ms

256×

valid

Compiler

Compiled 826 to 34 computations (95.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 13.0ms (22.6% of total)

ival-div: 10.0ms (17.4% of total)

ival-tan: 9.0ms (15.6% of total)

ival-sin: 7.0ms (12.1% of total)

ival-cos: 7.0ms (12.1% of total)

ival-add: 3.0ms (5.2% of total)

ival-atan: 3.0ms (5.2% of total)

ival-sqrt: 2.0ms (3.5% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series102.0ms (0.4%)

Memory

27.1MiB live, 140.6MiB allocated

Counts

8 → 264

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 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))>

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)))))>
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#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI)))))>
#<alt (+ (/ (* 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))>
#<alt (+ (* 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))))))>
#<alt (+ (* 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))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>
#<alt (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))>

Calls

66 calls:

Time	Variable		Point	Expression
11.0ms	alphay	@	0	(* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))
7.0ms	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	@	0	(tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))
4.0ms	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))
4.0ms	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))

simplify365.0ms (1.5%)

Memory

16.6MiB live, 651.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 076×	`lower-fma.f64`
9 076×	`lower-fma.f32`
8 572×	`lower-*.f64`
8 572×	`lower-*.f32`
3 156×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	345	12504
1	1135	11347
2	4797	11342
0	8608	10739

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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

rewrite556.0ms (2.2%)

Memory

4.4MiB live, 480.8MiB 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	319
0	51	214
1	204	198
2	1855	198
0	8810	187

Stop Event

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

Counts

8 → 457

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

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)))
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(.f32 (/.f32 (sin.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax) (/.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) alphay)))
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eval412.0ms (1.7%)

Memory: 7.9MiB live, 406.2MiB allocated
Compiler: Compiled 124 047 to 9 182 computations (92.6% saved)

prune236.0ms (0.9%)

Memory

-22.3MiB live, 295.2MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	1 337	4	1 341
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 338	4	1 342

Accuracy

99.4%

Counts

1 342 → 4

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 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)))))))))
▶	97.9%	(/.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 (.f32 alphay 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)))))))
▶	50.7%	(/.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 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32))))))))
▶	99.4%	(/.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 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)))))))))

Compiler

Compiled 189 to 110 computations (41.8% saved)

simplify380.0ms (1.5%)

Memory

-6.5MiB live, 510.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	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 (.f32 alphay 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 (.f32 alphay 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 (.f32 alphay 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 (.f32 alphay 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	#s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay 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 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))))))
✓	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 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)))))))
✓	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 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))))))))
✓	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 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)))))))))

Rules

8 038×	`lower-fma.f64`
8 034×	`lower-fma.f32`
3 512×	`lower-*.f64`
3 482×	`lower-*.f32`
2 982×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	2525
0	145	2503
1	258	2021
2	559	2021
3	1573	2021
4	3761	2021
5	7395	2021
0	8111	2008

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

localize631.0ms (2.5%)

Memory

18.2MiB live, 773.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.8%	(.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	98.6%	(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	98.2%	(-.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	63.2%	(tan.f32 (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32))))
✓	accuracy	98.8%	(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
✓	accuracy	98.8%	(.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax))
✓	accuracy	80.0%	#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 alphay 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	63.2%	(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
✓	accuracy	98.5%	(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	63.2%	(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
✓	accuracy	59.9%	(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	15.4%	#s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay 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	98.8%	(.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax))
✓	accuracy	98.5%	(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	63.2%	(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
✓	accuracy	59.9%	(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))))

Samples

309.0ms

256×

valid

Compiler

Compiled 2 194 to 77 computations (96.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 250.0ms

ival-mult: 120.0ms (48% of total)

ival-div: 39.0ms (15.6% of total)

ival-tan: 24.0ms (9.6% of total)

ival-cos: 21.0ms (8.4% of total)

ival-sin: 14.0ms (5.6% of total)

ival-add: 10.0ms (4% of total)

ival-atan: 8.0ms (3.2% of total)

ival-pow2: 7.0ms (2.8% of total)

ival-sqrt: 3.0ms (1.2% of total)

ival-sub: 2.0ms (0.8% of total)

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

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

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

exact: 0.0ms (0% of total)

series528.0ms (2.1%)

Memory

-1.9MiB live, 675.4MiB allocated

Counts

25 → 960

Calls

Call 1

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

Calls

240 calls:

Time	Variable		Point	Expression
44.0ms	u1	@	-inf	(+ (/ (/ 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)))
40.0ms	alphax	@	inf	(sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))
35.0ms	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))))))))
27.0ms	u1	@	inf	(* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax))
23.0ms	alphax	@	inf	(/ 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))))))))

simplify900.0ms (3.6%)

Memory

18.8MiB live, 2 039.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 934×	`lower-*.f64`
7 934×	`lower-*.f32`
5 312×	`lower-fma.f64`
5 312×	`lower-fma.f32`
4 050×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1548	126144
1	5429	125685
0	8559	118733

Stop Event

1×	iter limit
1×	node limit

Counts

960 → 960

Calls

Call 1

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

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

rewrite354.0ms (1.4%)

Memory

34.8MiB live, 704.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 804×	`lower-*.f64`
4 776×	`lower-*.f32`
2 704×	`lower-fma.f64`
2 700×	`lower-fma.f32`
2 332×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	87	1666
0	145	1280
1	634	1116
2	6116	1098
0	9590	1098

Stop Event

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

Counts

25 → 638

Calls

Call 1

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

eval409.0ms (1.6%)

Memory: -5.1MiB live, 1 023.5MiB allocated
Compiler: Compiled 217 895 to 10 484 computations (95.2% saved)

prune329.0ms (1.3%)

Memory

12.7MiB live, 733.9MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	2 344	16	2 360
Fresh	0	0	0
Picked	4	0	4
Done	0	0	0
Total	2 348	16	2 364

Accuracy

100.0%

Counts

2 364 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(pow.f32 (+.f32 #s(literal 1 binary32) (/.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))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32))
▶	98.2%	(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)) (/.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))
	97.9%	(/.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))))
	99.2%	(/.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 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))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
	50.1%	(/.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 #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)))) #s(literal 1 binary32))))
▶	99.3%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 (/.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 alphay alphay)) #s(literal 1/2 binary32) (/.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))))))))))))
	92.6%	(/.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)))))))))
	97.7%	(/.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 (.f32 alphay 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)))))))
	88.7%	(/.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 (.f32 #s(literal 2 binary32) u1) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32))))))))
	99.4%	(/.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 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 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (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)))))))))
▶	98.3%	(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)))
▶	99.8%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.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 alphax alphax)) (/.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 alphay alphay)))))))))
▶	91.6%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))
	97.2%	#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 (.f32 alphay alphay) (/.f32 (neg.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)))
	98.2%	#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)))))
	99.7%	#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) (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (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 (.f32 alphax alphax) (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)))))))))))

Compiler

Compiled 1 408 to 822 computations (41.6% saved)

simplify445.0ms (1.8%)

Memory

6.8MiB live, 476.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

11 258×	`lower-fma.f64`
11 254×	`lower-fma.f32`
4 328×	`lower-*.f64`
4 302×	`lower-*.f32`
3 908×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	2313
0	138	2313
1	251	1971
2	526	1971
3	1505	1971
4	4067	1971
0	8231	1962

Stop Event

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

Calls

Call 1

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

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

localize605.0ms (2.4%)

Memory

13.1MiB live, 522.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.8%	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
✓	accuracy	98.6%	(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	98.2%	(-.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)))))))))
✓	accuracy	63.2%	(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
✓	accuracy	98.6%	(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	98.1%	(-.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	80.0%	#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 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))))))))
✓	accuracy	63.2%	(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
✓	accuracy	98.6%	(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	98.1%	(-.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	80.0%	#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 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))))))))
✓	accuracy	63.2%	(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
✓	accuracy	91.6%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))
✓	accuracy	98.8%	(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
✓	accuracy	98.5%	(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))
✓	accuracy	63.2%	(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
✓	accuracy	59.9%	(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)))

Samples

254.0ms

256×

valid

Compiler

Compiled 2 134 to 81 computations (96.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 222.0ms

ival-mult: 49.0ms (22% of total)

ival-div: 40.0ms (18% of total)

ival-cos: 37.0ms (16.6% of total)

ival-atan: 26.0ms (11.7% of total)

ival-tan: 17.0ms (7.6% of total)

ival-sin: 15.0ms (6.7% of total)

ival-add: 10.0ms (4.5% of total)

ival-pow: 7.0ms (3.1% of total)

ival-pow2: 7.0ms (3.1% of total)

ival-sqrt: 5.0ms (2.2% of total)

ival-sub: 4.0ms (1.8% of total)

ival-exp: 3.0ms (1.3% of total)

ival-log1p: 2.0ms (0.9% of total)

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

exact: 1.0ms (0.4% of total)

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

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

series929.0ms (3.7%)

Memory

-1.1MiB live, 644.2MiB allocated

Counts

24 → 996

Calls

Call 1

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

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

Calls

249 calls:

Time	Variable		Point	Expression
146.0ms	alphay	@	inf	(/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (* (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))))))) (* alphay alphay)) 1/2) (/ 1 (* alphax (* alphax (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))))))))))
66.0ms	u1	@	inf	(* (log (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) -1/2)
58.0ms	u1	@	-inf	(* (log (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) -1/2)
50.0ms	alphax	@	inf	(* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)))))
45.0ms	u1	@	0	(* (log (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) -1/2)

simplify1.2s (4.6%)

Memory

28.0MiB live, 1 792.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 180×	`lower-*.f64`
6 180×	`lower-*.f32`
4 028×	`lower-+.f64`
4 028×	`lower-+.f32`
3 130×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2808	170388
0	9259	160407

Stop Event

1×	iter limit
1×	node limit

Counts

996 → 993

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))
(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 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))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (pow (- 1 u0) 2)))))))) (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))))
(+ 1 (* (pow alphay 2) (+ (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (+ (* -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))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) (+ (* 1/2 (/ (* u0 (+ (* -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))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (pow (- 1 u0) 2))))))) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) (+ (/ (* 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 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))) 6) (pow (- 1 u0) 2))))))))) (* -1/2 (+ (* -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))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (pow (- 1 u0) 2))))))))))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0))))))
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))) (* 1/2 (* (/ (* (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)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) 3))))))
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1
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(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
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1
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1
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1
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1
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1
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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 (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))
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(* (pow alphay 2) (+ (* (pow alphay 2) (+ (* 1/720 (* (pow alphay 2) (+ (* 240 (/ (pow u0 3) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (pow (- 1 u0) 3)))) (+ (* 720 (/ (* 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))))) (* 720 (/ (* (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))) 6) (pow (- 1 u0) 2))))))))) (* 1/24 (+ (* -24 (/ (* 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))))) (* -12 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (pow (- 1 u0) 2)))))))) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))
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(log (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))
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(+ (log (+ 1 (/ (* (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 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) (- 1 u0)))))) (+ (* 1/720 (/ (+ (* -720 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6))) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 8) (* (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) (- 1 u0))))) (+ (* -240 (/ (* (pow alphax 12) (* (pow u0 3) (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6))) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 12) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 3))))) (* 720 (/ (* (pow alphax 10) (* (pow u0 2) (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6))) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 10) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 2))))))) (pow alphay 6))) (* 1/24 (/ (+ (* -12 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 2))))) (* 24 (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (* (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) (- 1 u0)))))) (pow alphay 4))))))
(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))
(* (pow alphax 2) (+ (* 1/24 (* (pow alphax 2) (+ (* -24 (/ (* 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))))) (* -12 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (pow (- 1 u0) 2))))))) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))
(* (pow alphax 2) (+ (* (pow alphax 2) (+ (* 1/720 (* (pow alphax 2) (+ (* 240 (/ (pow u0 3) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (pow (- 1 u0) 3)))) (+ (* 720 (/ (* 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))))) (* 720 (/ (* (pow u0 2) (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))) 6) (pow (- 1 u0) 2))))))))) (* 1/24 (+ (* -24 (/ (* 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))))) (* -12 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (pow (- 1 u0) 2)))))))) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))
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(/ (* (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
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alphax
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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)))))
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(/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
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1
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1
(+ 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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(+ 1 (* (pow alphay 2) (+ (* (pow alphay 2) (+ (* -1/2 (* (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 (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)))) (+ (* -4 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2)))))) (* -1 (/ (* u0 (+ (* 4 (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2)))) (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))))) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))) (* -1/2 (+ (* 4 (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2)))) (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))))))) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
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1
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(/ (* 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))))))
(/ (* 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 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))
(fma.f32 #s(literal -1/2 binary32) (/.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))) #s(literal 1 binary32))
(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 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))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (pow (- 1 u0) 2)))))))) (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))))
(fma.f32 (.f32 alphay alphay) (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 alphay alphay) (fma.f32 (/.f32 (.f32 u0 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 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -3/4 binary32) (neg.f32 (/.f32 (.f32 u0 (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 (.f32 alphax alphax) (.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 4 binary32)) (-.f32 #s(literal 1 binary32) u0)))))) (/.f32 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))))) #s(literal 1 binary32))
(+ 1 (* (pow alphay 2) (+ (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (+ (* -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))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) (+ (* 1/2 (/ (* u0 (+ (* -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))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (pow (- 1 u0) 2))))))) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) (+ (/ (* 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 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))) 6) (pow (- 1 u0) 2))))))))) (* -1/2 (+ (* -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))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (pow (- 1 u0) 2))))))))))))
(fma.f32 (.f32 alphay alphay) (fma.f32 (.f32 alphay alphay) (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 alphay alphay) (+.f32 (neg.f32 (/.f32 (.f32 u0 (.f32 #s(literal -1 binary32) (fma.f32 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 (.f32 alphax alphax) (.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 4 binary32)) (-.f32 #s(literal 1 binary32) u0)))) (/.f32 (.f32 u0 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 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) 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)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 u0 (fma.f32 (/.f32 (.f32 u0 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 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -3/4 binary32) (neg.f32 (/.f32 (.f32 u0 (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 (.f32 alphax alphax) (.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 4 binary32)) (-.f32 #s(literal 1 binary32) 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))) (fma.f32 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 4 binary32)) (.f32 (pow.f32 alphax #s(literal 4 binary32)) (.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 6 binary32)) (-.f32 #s(literal 1 binary32) u0)))) (/.f32 (.f32 (.f32 u0 u0) (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 (.f32 alphax alphax) (.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 6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0)))))))) (fma.f32 (/.f32 (.f32 u0 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 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -3/4 binary32) (neg.f32 (/.f32 (.f32 u0 (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 (.f32 alphax alphax) (.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 4 binary32)) (-.f32 #s(literal 1 binary32) u0)))))))) (/.f32 (.f32 #s(literal -1/2 binary32) 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)))) #s(literal 1 binary32))
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 alphax alphax) (/.f32 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))) #s(literal 1 binary32))))
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))) (* 1/2 (* (/ (* (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)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) 3))))))
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(- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (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 (* -1 (* u0 (- 1 (/ 1 (+ 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 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 binary32) (neg.f32 (.f32 u0 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (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 #s(literal 1 binary32) (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 (* -1 (* u0 (- 1 (/ 1 (+ 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 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 binary32) (neg.f32 (.f32 u0 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (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 #s(literal 1 binary32) (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 (* -1 (* u0 (- 1 (/ 1 (+ 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 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 binary32) (neg.f32 (.f32 u0 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (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 #s(literal 1 binary32) (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 (* u0 (- 1 (/ 1 (+ 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 u0 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (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 (- (+ (* -1 (- 1 (/ 1 (+ 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 (* 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 u0 (+.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (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 #s(literal 1 binary32) u0) (/.f32 #s(literal 1 binary32) (.f32 u0 (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 (- (+ (* -1 (- 1 (/ 1 (+ 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 (* 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 u0 (+.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (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 #s(literal 1 binary32) u0) (/.f32 #s(literal 1 binary32) (.f32 u0 (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 (- (+ (* -1 (- 1 (/ 1 (+ 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 (* 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 u0 (+.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (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 #s(literal 1 binary32) u0) (/.f32 #s(literal 1 binary32) (.f32 u0 (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 (* u0 (- 1 (/ 1 (+ 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 u0 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (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 (* u0 (- (+ 1 (* -1 (/ (- 1 (/ 1 (+ 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 (/ (* (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 u0 (+.f32 #s(literal 1 binary32) (-.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (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)) (/.f32 #s(literal 1 binary32) (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 (* u0 (- (+ 1 (* -1 (/ (- 1 (/ 1 (+ 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 (/ (* (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 u0 (+.f32 #s(literal 1 binary32) (-.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (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)) (/.f32 #s(literal 1 binary32) (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 (* u0 (- (+ 1 (* -1 (/ (- 1 (/ 1 (+ 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 (/ (* (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 u0) (- 1 (/ 1 (+ 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 u0) (- 1 (/ 1 (+ 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 u0) (- 1 (/ 1 (+ 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 u0) (- 1 (/ 1 (+ 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 u0) (- 1 (/ 1 (+ 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 u0) (- 1 (/ 1 (+ 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 u0) (- 1 (/ 1 (+ 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 (/ (+ (/ 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 (+ (/ 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 (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 (/ (+ (/ 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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(/.f32 u0 (.f32 (+.f32 (/.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 alphax alphax)) (/.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 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))
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(/.f32 u0 (.f32 (+.f32 (/.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 alphax alphax)) (/.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 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))
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(/.f32 u0 (.f32 (+.f32 (/.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 alphax alphax)) (/.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 alphay alphay))) (-.f32 #s(literal 1 binary32) 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)))
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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 (/.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 alphax alphax)) (/.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 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))
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(/.f32 u0 (.f32 (+.f32 (/.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 alphax alphax)) (/.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 alphay alphay))) (-.f32 #s(literal 1 binary32) 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)))
(/.f32 u0 (.f32 (+.f32 (/.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 alphax alphax)) (/.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 alphay alphay))) (-.f32 #s(literal 1 binary32) 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)))
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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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(/.f32 u0 (.f32 (+.f32 (/.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 alphax alphax)) (/.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 alphay alphay))) (-.f32 #s(literal 1 binary32) u0)))
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(* -1/2 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0))))
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(* -1/2 (log (+ 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 u0))))))
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(* -1/2 (log (+ 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 u0))))))
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(* -1/2 (log (+ 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 u0))))))
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(* (pow alphay 2) (+ (* (pow alphay 2) (+ (* 1/720 (* (pow alphay 2) (+ (* 240 (/ (pow u0 3) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (pow (- 1 u0) 3)))) (+ (* 720 (/ (* 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))))) (* 720 (/ (* (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))) 6) (pow (- 1 u0) 2))))))))) (* 1/24 (+ (* -24 (/ (* 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))))) (* -12 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (pow (- 1 u0) 2)))))))) (/ 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) (+ (* 1/24 (+ (* -24 (/ (* 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))))) (* -12 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (pow (- 1 u0) 2)))))) (* (pow alphay 2) (+ (* 1/40320 (* (pow alphay 2) (+ (* -40320 (/ (* 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))))) (+ (* -40320 (/ (* (pow u0 2) (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))) 8) (pow (- 1 u0) 2))))) (+ (* -40320 (/ (* (pow u0 3) (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))) 8) (pow (- 1 u0) 3))))) (+ (* -20160 (/ (* (pow u0 2) (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))) 8) (pow (- 1 u0) 2))))) (* -10080 (/ (pow u0 4) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 8) (pow (- 1 u0) 4)))))))))) (* 1/720 (+ (* 240 (/ (pow u0 3) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (pow (- 1 u0) 3)))) (+ (* 720 (/ (* 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))))) (* 720 (/ (* (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))) 6) (pow (- 1 u0) 2)))))))))))) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))
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(log (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))
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(+ (log (+ 1 (/ (* (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 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) (- 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) (+ (* 1/24 (* (pow alphax 2) (+ (* -24 (/ (* 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))))) (* -12 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (pow (- 1 u0) 2))))))) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))
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(log (+ 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 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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(/ (+ (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow alphax 2)) alphax)
(/.f32 (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)) (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #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 (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)) (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #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 (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)))
(* 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 (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)))
(* 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 (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)))
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) (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 (* 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) (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 (* 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) (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))))
alphax
(+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))
(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 alphax (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) alphax)
(+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))
(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 alphax (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) alphax)
(+ alphax (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* alphax (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))
(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 alphax (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #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 (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) (.f32 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 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) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (.f32 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 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) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (.f32 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 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) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (.f32 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 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) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) (.f32 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 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) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (.f32 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 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) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (.f32 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 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) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (.f32 alphax (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #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 (fma.f32 (.f32 alphay alphay) (/.f32 (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)))) #s(literal 1 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 (fma.f32 (.f32 alphay alphay) (/.f32 (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)))) #s(literal 1 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 u1 (fma.f32 (.f32 alphay alphay) (/.f32 (.f32 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) (/.f32 (.f32 #s(literal 2 binary32) (.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 alphax (fma.f32 (.f32 alphay alphay) (/.f32 (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)))) #s(literal 1 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)))))) (* 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 u1 (fma.f32 u1 (fma.f32 (.f32 alphay alphay) (/.f32 (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) (/.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 #s(literal 4/3 binary32) (/.f32 (.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 #s(literal 2 binary32) (.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 alphax (fma.f32 (.f32 alphay alphay) (/.f32 (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)))) #s(literal 1 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)))))
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(* alphax (+ 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 (+ 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 (+ 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 (+ 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 (+ 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 (+ 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 (+ 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.f32 (.f32 (pow.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)))) #s(literal 3 binary32)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0))) (.f32 u0 (.f32 u0 u0)))))) (.f32 alphay alphay)))))) alphay)
(* -1 (* (/ 1 alphay) (sqrt (/ (* (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0))))
(neg.f32 (.f32 (/.f32 #s(literal 1 binary32) alphay) (sqrt.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) (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 (-.f32 #s(literal 1 binary32) u0) u0)))))
(* -1 (/ (+ (sqrt (/ (* (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0)) (* -1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (pow alphay 2)) (sqrt (/ (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (pow (- 1 u0) 3)) (pow u0 3)))))) alphay))
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(+ 1 (* (pow alphay 2) (+ (* (pow alphay 2) (+ (* -1/2 (* (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 (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)))) (+ (* -4 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2)))))) (* -1 (/ (* u0 (+ (* 4 (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2)))) (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))))) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))) (* -1/2 (+ (* 4 (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2)))) (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))))))) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(fma.f32 (.f32 alphay alphay) (fma.f32 (.f32 alphay alphay) (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 alphay alphay) (fma.f32 #s(literal -8 binary32) (/.f32 (.f32 u0 (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 u0 (.f32 alphax alphax))) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 u0 (.f32 alphax alphax))))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0))) (pow.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))))) #s(literal 3 binary32)))) (fma.f32 #s(literal -4 binary32) (/.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 (pow.f32 alphax #s(literal 4 binary32)) (.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)) (pow.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))))) #s(literal 2 binary32))))) (neg.f32 (.f32 u0 (/.f32 (fma.f32 #s(literal 4 binary32) (/.f32 (.f32 u0 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 u0 (.f32 alphax alphax)))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0)) (pow.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))))) #s(literal 2 binary32)))) (/.f32 (.f32 u0 u0) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0)) (pow.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))))) #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 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))))))))))) (fma.f32 #s(literal 4 binary32) (/.f32 (.f32 u0 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 u0 (.f32 alphax alphax)))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0)) (pow.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))))) #s(literal 2 binary32)))) (/.f32 (.f32 u0 u0) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0)) (pow.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))))) #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) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))))))) #s(literal 1 binary32))
(* alphay (sqrt (/ u0 (* (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))))
(.f32 alphay (sqrt.f32 (/.f32 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)))))
(* alphay (+ (sqrt (/ u0 (* (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))) (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (pow alphay 2)) (sqrt (/ (* (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0))))))
(.f32 alphay (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 (.f32 alphax alphax) u0) (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 (sin.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) (-.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)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))) (sqrt.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) (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 (-.f32 #s(literal 1 binary32) u0) u0)))) (.f32 alphay alphay)) (sqrt.f32 (/.f32 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))))))
(* alphay (+ (sqrt (/ u0 (* (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))) (+ (* 1/4 (/ (* (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (- 1 u0) (pow (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) 2))) u0)) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (pow alphay 4)) (sqrt (/ (* (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0)))) (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (pow alphay 2)) (sqrt (/ (* (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0)))))))
(.f32 alphay (+.f32 (sqrt.f32 (/.f32 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)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (+.f32 (neg.f32 (/.f32 (.f32 (.f32 (pow.f32 alphax #s(literal 4 binary32)) u0) (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 8 binary32))) (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 8 binary32)) (.f32 (pow.f32 (fma.f32 #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)))) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (fma.f32 #s(literal 1/4 binary32) (/.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) (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.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 (.f32 alphax alphax) u0) (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 (sin.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) (-.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)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))) #s(literal 2 binary32))) u0) (/.f32 (.f32 (.f32 (pow.f32 alphax #s(literal 4 binary32)) u0) (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 6 binary32))) (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 6 binary32)) (.f32 (pow.f32 (fma.f32 #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)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))) (sqrt.f32 (.f32 (fma.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 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(* -1 (* alphay (sqrt (/ u0 (* (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0))))))
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(* -1 (* alphay (+ (sqrt (/ u0 (* (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))) (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (pow alphay 2)) (sqrt (/ (* (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0)))))))
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(* -1 (* alphay (+ (sqrt (/ u0 (* (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))) (+ (* 1/4 (/ (* (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (- 1 u0) (pow (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) 2))) u0)) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (pow alphay 4)) (sqrt (/ (* (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0)))) (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (pow alphay 2)) (sqrt (/ (* (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)) u0))))))))
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(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))) (+ (/ (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))) (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 10))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 10) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0)))))) (pow alphay 6))) (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0))))) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0)))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))))))
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(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))

rewrite652.0ms (2.6%)

Memory

-138.3MiB live, 510.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 360×	`lower-*.f64`
3 336×	`lower-*.f32`
2 216×	`lower-/.f64`
2 194×	`lower-/.f32`
1 930×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	1368
0	138	1134
1	597	991
2	6048	952
0	8376	951

Stop Event

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

Counts

24 → 510

Calls

Call 1

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

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

eval563.0ms (2.3%)

Memory: 18.7MiB live, 1 122.4MiB allocated
Compiler: Compiled 269 189 to 10 800 computations (96% saved)

prune464.0ms (1.9%)

Memory

21.0MiB live, 1 138.3MiB allocated

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	2 511	9	2 520
Fresh	5	6	11
Picked	4	1	5
Done	0	0	0
Total	2 520	16	2 536

Accuracy

100.0%

Counts

2 536 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.2%	(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)) (/.f32 (.f32 u0 (.f32 alphay alphay)) (fma.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u0) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.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(literal -1/2 binary32))
▶	98.0%	(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 u0 (.f32 alphay alphay)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/2 binary32))
	99.2%	(/.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 (fma.f32 alphax (pow.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)) alphax))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.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))))) #s(literal 1 binary32))))
▶	97.9%	(/.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))))
	50.1%	(/.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 #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)))) #s(literal 1 binary32))))
	99.3%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 (/.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 alphay alphay)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 alphax (fma.f32 (pow.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)) alphax alphax)))))))))
	92.6%	(/.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)))))))))
	88.7%	(/.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 (.f32 #s(literal 2 binary32) u1) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32))))))))
	99.4%	(/.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 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 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (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)))))))))
▶	97.9%	(/.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (+ 1 (/ u0 (* (- 1 u0) (+ (* (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))))))) (* alphay alphay)) 1/2) (/ 1 (* alphax (* alphax (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))))))) (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)))))
▶	99.7%	(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.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 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) alphax))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.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))))))))
	98.1%	(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)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/2 binary32)))
▶	100.0%	(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 u0 (.f32 (+.f32 (/.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 alphax alphax)) (/.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 alphay alphay))) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/2 binary32)))
	99.9%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.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 (.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 alphay alphay)))))))))
✓	91.6%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))
	97.2%	#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 (.f32 alphay alphay) (/.f32 (neg.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)))

Compiler

Compiled 1 302 to 769 computations (40.9% saved)

simplify324.0ms (1.3%)

Memory

-39.1MiB live, 573.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

6 954×	`lower-fma.f64`
6 948×	`lower-fma.f32`
4 656×	`lower-*.f64`
4 626×	`lower-*.f32`
2 184×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	2810
0	190	2848
1	351	2389
2	722	2389
3	1889	2389
4	4999	2389
0	8240	2386

Stop Event

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

Calls

Call 1

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

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

localize592.0ms (2.4%)

Memory

19.8MiB live, 1 137.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.8%	(.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax))
✓	accuracy	98.6%	(pow.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	98.1%	(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.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	63.2%	(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	98.3%	#s(approx (+ 1 (/ u0 (* (- 1 u0) (+ (* (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))))))) (* alphay alphay)) 1/2) (/ 1 (* alphax (* alphax (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))))))) (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	98.2%	(-.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	63.2%	(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
✓	accuracy	98.6%	(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	98.1%	(-.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	80.0%	#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 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))))))))
✓	accuracy	63.2%	(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
✓	accuracy	99.2%	(.f32 u0 (.f32 alphay alphay))
✓	accuracy	99.1%	(/.f32 (.f32 u0 (.f32 alphay alphay)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) u0)))
✓	accuracy	80.0%	#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 alphay alphay)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) u0))))
✓	accuracy	78.1%	#s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) u0))
✓	accuracy	98.8%	(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
✓	accuracy	98.5%	(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))
✓	accuracy	63.2%	(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
✓	accuracy	59.9%	(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)))

Samples

265.0ms

256×

valid

Compiler

Compiled 2 393 to 104 computations (95.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 206.0ms

ival-mult: 48.0ms (23.3% of total)

ival-div: 35.0ms (17% of total)

ival-cos: 30.0ms (14.6% of total)

ival-tan: 17.0ms (8.2% of total)

ival-add: 17.0ms (8.2% of total)

ival-sin: 15.0ms (7.3% of total)

ival-pow2: 11.0ms (5.3% of total)

ival-pow: 9.0ms (4.4% of total)

ival-atan: 8.0ms (3.9% of total)

ival-sub: 5.0ms (2.4% of total)

ival-sqrt: 5.0ms (2.4% of total)

ival-exp: 3.0ms (1.5% of total)

ival-log1p: 2.0ms (1% of total)

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

exact: 1.0ms (0.5% of total)

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

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

series585.0ms (2.3%)

Memory

-1.3MiB live, 781.4MiB allocated

Counts

33 → 1 392

Calls

Call 1

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

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

Calls

348 calls:

Time	Variable		Point	Expression
61.0ms	u1	@	0	(sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (+ (/ 1 (* alphax (+ (* alphax (pow (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)) 2)) alphax))) (/ (+ 1 (/ -1 (+ 1 (pow (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)) 2)))) (* alphay alphay))))))))
43.0ms	alphay	@	0	(sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (+ (/ 1 (* alphax (+ (* alphax (pow (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)) 2)) alphax))) (/ (+ 1 (/ -1 (+ 1 (pow (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)) 2)))) (* alphay alphay))))))))
21.0ms	u1	@	0	(/ 1 (+ 1 (/ u0 (* (- 1 u0) (+ (/ 1 (* alphax (+ (* alphax (pow (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)) 2)) alphax))) (/ (+ 1 (/ -1 (+ 1 (pow (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)) 2)))) (* alphay alphay)))))))
14.0ms	alphax	@	inf	(sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (+ (/ 1 (* alphax (+ (* alphax (pow (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)) 2)) alphax))) (/ (+ 1 (/ -1 (+ 1 (pow (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)) 2)))) (* alphay alphay))))))))
11.0ms	u1	@	0	(/ u0 (* (- 1 u0) (+ (/ 1 (* alphax (+ (* alphax (pow (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)) 2)) alphax))) (/ (+ 1 (/ -1 (+ 1 (pow (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)) 2)))) (* alphay alphay)))))

simplify1.8s (7.4%)

Memory

96.9MiB live, 2 865.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 156×	`lower-*.f64`
8 156×	`lower-*.f32`
4 512×	`lower-+.f64`
4 512×	`lower-+.f32`
3 364×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3771	266781
0	8524	264399

Stop Event

1×	iter limit
1×	node limit

Counts

1 392 → 1 392

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))
(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 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))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (pow (- 1 u0) 2)))))))) (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))))
(+ 1 (* (pow alphay 2) (+ (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (+ (* -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))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) (+ (* 1/2 (/ (* u0 (+ (* -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))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (pow (- 1 u0) 2))))))) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) (+ (/ (* 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 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))) 6) (pow (- 1 u0) 2))))))))) (* -1/2 (+ (* -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))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (pow (- 1 u0) 2))))))))))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0))))))
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))) (* 1/2 (* (/ (* (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)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) 3))))))
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) 2) (- 1 u0)))))) (pow alphay 4)) (sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0))))))) (* 1/2 (* (/ (* (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)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) 3)))))))
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6))) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) 2) (- 1 u0))))) (+ (* -1/2 (/ (* (pow alphax 4) (* u0 (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) 2) (- 1 u0))))))))) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (* (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) (- 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) (+ (* (pow alphay 2) (+ (* 1/720 (* (pow alphay 2) (+ (* 240 (/ (pow u0 3) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (pow (- 1 u0) 3)))) (+ (* 720 (/ (* 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))))) (* 720 (/ (* (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))) 6) (pow (- 1 u0) 2))))))))) (* 1/24 (+ (* -24 (/ (* 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))))) (* -12 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (pow (- 1 u0) 2)))))))) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))
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(log (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))
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(+ (log (+ 1 (/ (* (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 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) (- 1 u0)))))) (+ (* 1/720 (/ (+ (* -720 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6))) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 8) (* (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) (- 1 u0))))) (+ (* -240 (/ (* (pow alphax 12) (* (pow u0 3) (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6))) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 12) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 3))))) (* 720 (/ (* (pow alphax 10) (* (pow u0 2) (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6))) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 10) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 2))))))) (pow alphay 6))) (* 1/24 (/ (+ (* -12 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 2))))) (* 24 (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4))) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (* (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))) (- 1 u0)))))) (pow alphay 4))))))
(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))
(* (pow alphax 2) (+ (* 1/24 (* (pow alphax 2) (+ (* -24 (/ (* 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))))) (* -12 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (pow (- 1 u0) 2))))))) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))))
(* (pow alphax 2) (+ (* (pow alphax 2) (+ (* 1/720 (* (pow alphax 2) (+ (* 240 (/ (pow u0 3) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 6) (pow (- 1 u0) 3)))) (+ (* 720 (/ (* 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))))) (* 720 (/ (* (pow u0 2) (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))) 6) (pow (- 1 u0) 2))))))))) (* 1/24 (+ (* -24 (/ (* 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))))) (* -12 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 4) (pow (- 1 u0) 2)))))))) (/ u0 (* (pow (cos (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)))
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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) u0) (* (pow (cos (atan (/ (* alphay (tan (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) alphax))) 2) (- 1 u0)))
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1
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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) (- 1 u0))
(* (pow alphay 2) (+ (/ u0 (- 1 u0)) (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (pow alphay 4))) (/ u0 (- 1 u0))) (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (- 1 u0)))) (+ (/ (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (- 1 u0))))) (pow alphay 6))) (/ u0 (- 1 u0))) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0))))))))
(/ (* (pow alphay 2) u0) (- 1 u0))
(* (pow alphay 2) (+ (/ u0 (- 1 u0)) (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (pow alphay 4))) (/ u0 (- 1 u0))) (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (- 1 u0)))) (+ (/ (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (- 1 u0))))) (pow alphay 6))) (/ u0 (- 1 u0))) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0))))))))
(/ (* (pow alphay 2) u0) (- 1 u0))
(+ (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))) (/ (* (pow alphay 2) u0) (- 1 u0)))
(+ (* (pow alphax 2) (- (* -1 (* (pow alphax 2) (+ (* -1 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0))))) (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0))))))) (* -1 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))) (/ (* (pow alphay 2) u0) (- 1 u0)))
(+ (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (* (pow alphax 2) (+ (* -1 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (- 1 u0))))) (+ (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (- 1 u0)))) (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0))))) (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (+ (* -1 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0))))) (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0))))))) (* -1 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))) (/ (* (pow alphay 2) u0) (- 1 u0)))
(/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))
(* (pow alphax 2) (+ (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))) (/ (* (pow alphay 2) u0) (* (pow alphax 2) (- 1 u0)))))
(* (pow alphax 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow alphax 4))) (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* -1 (/ (* (pow alphay 2) u0) (* (pow alphax 2) (- 1 u0))))))
(* (pow alphax 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (+ (/ (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0))))) (pow alphax 6))) (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (+ (* -1 (/ (* (pow alphay 2) u0) (* (pow alphax 2) (- 1 u0)))) (+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))) (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))))
(/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))
(* (pow alphax 2) (+ (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))) (/ (* (pow alphay 2) u0) (* (pow alphax 2) (- 1 u0)))))
(* (pow alphax 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow alphax 4))) (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* -1 (/ (* (pow alphay 2) u0) (* (pow alphax 2) (- 1 u0))))))
(* (pow alphax 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (+ (/ (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0))))) (pow alphax 6))) (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (+ (* -1 (/ (* (pow alphay 2) u0) (* (pow alphax 2) (- 1 u0)))) (+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))) (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))
(+ (* -2 (/ (* (pow alphay 4) (* u0 (* u1 (* (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) (* (- 1 u0) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 2))))))) (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))
(+ (* u1 (- (* -1 (* u1 (+ (* -4 (/ (* (pow alphay 6) (* u0 (* (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)))) 4) (* (- 1 u0) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 3))))))) (/ (* (pow alphay 2) (* u0 (+ (* -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 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))))) (/ (* (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 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))))) (* (- 1 u0) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 2)))))) (* 2 (/ (* (pow alphay 4) (* u0 (* (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) (* (- 1 u0) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 2))))))))) (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))
(+ (* u1 (- (* u1 (- (* -1 (* u1 (+ (* -2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (* (+ (* -4 (/ (* (pow alphay 6) (* u0 (* (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)))) 4) (* (- 1 u0) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 3))))))) (/ (* (pow alphay 2) (* u0 (+ (* -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 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))))) (/ (* (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 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))))) (* (- 1 u0) (pow (- 1 (/ 1 (+ 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))) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))))) (+ (* -2 (/ (* (pow alphay 4) (* u0 (* (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 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))))) (/ (* (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 (+ 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))) (* (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 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 3))))))) (/ (* (pow alphay 2) (* u0 (+ (* -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 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))))) (/ (* (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 (+ 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) 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(/ (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
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(/ (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
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(* (- 1 u0) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
(* (- 1 u0) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
(* (- 1 u0) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
(* (- 1 u0) (- 1 (/ 1 (+ 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 u0) (- 1 (/ 1 (+ 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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1
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1
(+ 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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1
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(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 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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)))))))))))) (* 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 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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 (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)))))))))) 3) (* (- 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 (/ (+ (* -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 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(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 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(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))) 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(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 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(/ 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 (+ 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 (+ 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 (+ 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 (+ 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 (+ 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 (+ 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 (+ 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 (+ 1 (/ u0 (* (+ (/ 1 (pow alphax 2)) (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (- 1 u0)))))
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(/ (* (pow alphax 2) u0) (* (+ 1 (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))
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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)))))))))
(/ 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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(+ (* u1 (+ (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (* (- 1 u0) (- (* 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))))) (* u1 (+ (* u1 (* (+ (* -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 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))))) (/ (* (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 (+ 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 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 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))))) (/ (* (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 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (- 1 u0))) (* (+ (* -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 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))))) (/ (* (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 (+ 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 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))
(* (- 1 u0) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
(* (- 1 u0) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
(* (- 1 u0) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
(* (- 1 u0) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
(* (- 1 u0) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))))
(* (- 1 u0) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))))
(* (- 1 u0) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))))
(* (- 1 u0) (- 1 (/ 1 (+ 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) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(/ (* (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)))
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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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1
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(/ (* (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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1
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1
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(/ (* (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)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(/ (* (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)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(/ (* (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)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(/ (* 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))))))
(/ (* 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))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))

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

rewrite474.0ms (1.9%)

Memory

7.7MiB live, 642.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 086×	`lower-*.f64`
4 056×	`lower-*.f32`
3 310×	`lower-/.f64`
3 278×	`lower-/.f32`
2 534×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	2061
0	190	1731
1	835	1570
2	7778	1552
0	8382	1548

Stop Event

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

Counts

33 → 529

Calls

Call 1

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

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

eval531.0ms (2.1%)

Memory: 37.9MiB live, 1 249.4MiB allocated
Compiler: Compiled 346 691 to 12 077 computations (96.5% saved)

prune455.0ms (1.8%)

Memory

-8.4MiB live, 680.6MiB allocated

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	2 479	11	2 490
Fresh	2	8	10
Picked	3	2	5
Done	0	1	1
Total	2 484	22	2 506

Accuracy

100.0%

Counts

2 506 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.7%	(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)) (/.f32 (.f32 u0 (.f32 alphay alphay)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.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)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.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)) (/.f32 (.f32 u0 (.f32 alphay alphay)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))) #s(literal -1/2 binary32))
	97.7%	(pow.f32 (-.f32 (/.f32 #s(literal 1 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 alphay alphay)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) u0)))))) (/.f32 (.f32 #s(approx (/ ( (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphay alphay)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.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)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.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)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) u0))))))) #s(literal -1/2 binary32))
	98.0%	(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 alphay u0) (/.f32 alphay #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) u0)))))) #s(literal -1/2 binary32))
	98.0%	(pow.f32 (.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)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.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)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) u0)))))) #s(literal -1/4 binary32))
	99.2%	(/.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 (fma.f32 alphax (pow.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)) alphax))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.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))))) #s(literal 1 binary32))))
	97.9%	(/.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)) (fma.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u0) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.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(literal 1 binary32))))
✓	97.9%	(/.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))))
	95.5%	(/.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)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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)))))))))) #s(literal 1 binary32))))
	97.7%	(/.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)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
	50.1%	(/.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 #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)))) #s(literal 1 binary32))))
	99.3%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 (/.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 alphay alphay)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 alphax (fma.f32 (pow.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)) alphax alphax)))))))))
	92.6%	(/.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)))))))))
	99.4%	(/.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 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 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (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)))))))))
	95.5%	(/.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (+ 1 (/ u0 (* (- 1 u0) (+ (* (/ (- 1 (cos (* 2 (atan (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))))))) (* alphay alphay)) 1/2) (/ 1 (* alphax (* alphax (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))))))) #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 #s(literal 2 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))))))))))))
✓	99.7%	(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.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 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) alphax))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.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))))))))
	98.9%	(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.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 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) alphax))) (/.f32 #s(approx (+ 1 (/ -1 (+ 1 (pow (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)) 2)))) #s(literal 1 binary32)) (*.f32 alphay alphay))))))))
	92.3%	(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (/ u0 (* (- 1 u0) (+ (/ 1 (* alphax (+ (* alphax (pow (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)) 2)) alphax))) (/ (+ 1 (/ -1 (+ 1 (pow (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)) 2)))) (* alphay alphay))))) (/.f32 (.f32 (.f32 alphax alphax) u0) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (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)))))))
	98.1%	(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)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/2 binary32)))
	99.8%	(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 u0 (.f32 (+.f32 (/.f32 (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (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 1/2 binary32) #s(literal 1/2 binary32)) (.f32 alphax alphax)) (/.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 alphay alphay))) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/2 binary32)))
	99.9%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.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 (.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 alphay alphay)))))))))
✓	91.6%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))
	97.2%	#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 (.f32 alphay alphay) (/.f32 (neg.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)))

Compiler

Compiled 2 594 to 838 computations (67.7% saved)

regimes192.0ms (0.8%)

Memory

-73.5MiB live, 244.4MiB 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))
(/.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)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) 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)) (.f32 (.f32 alphay u0) (/.f32 alphay #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.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 u0 (.f32 alphay alphay)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/2 binary32))
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(/.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)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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)))))))))) #s(literal 1 binary32))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.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 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) alphax))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.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))))))))
(/.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 (fma.f32 alphax (pow.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)) alphax))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.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))))) #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 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))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.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))) (-.f32 #s(literal 1 binary32) u0)))) #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) (fma.f32 (/.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 alphay alphay)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 alphax (fma.f32 (pow.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)) alphax alphax)))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 (/.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 alphay alphay)) #s(literal 1/2 binary32) (/.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(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)))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.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 (.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 alphay alphay)))))))))
(/.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 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 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (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)))))))))
#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) (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (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 (.f32 alphax alphax) (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)))))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.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 alphax alphax)) (/.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 alphay alphay)))))))))
(/.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 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)))))))))
(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 u0 (.f32 (+.f32 (/.f32 (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (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 1/2 binary32) #s(literal 1/2 binary32)) (.f32 alphax alphax)) (/.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 alphay alphay))) (-.f32 #s(literal 1 binary32) u0))))) #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 u0 (.f32 (+.f32 (/.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 alphax alphax)) (/.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 alphay alphay))) (-.f32 #s(literal 1 binary32) u0))))) #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 #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay 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 u0 (*.f32 (+.f32 (/.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 alphax alphax)) (/.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 alphay alphay))) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/2 binary32)))

Calls

13 calls:

50.0ms	alphay
13.0ms	(/.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))))
12.0ms	u1
12.0ms	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
12.0ms	(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))

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)

regimes148.0ms (0.6%)

Memory

26.7MiB live, 221.5MiB allocated

Counts

39 → 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))
(/.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)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) 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)) (.f32 (.f32 alphay u0) (/.f32 alphay #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.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 u0 (.f32 alphay alphay)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/2 binary32))
(pow.f32 (.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)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.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)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) u0)))))) #s(literal -1/4 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)) (/.f32 (.f32 u0 (.f32 alphay alphay)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.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)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.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)) (/.f32 (.f32 u0 (.f32 alphay alphay)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))) #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)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/2 binary32)))
(pow.f32 (-.f32 (/.f32 #s(literal 1 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 alphay alphay)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) u0)))))) (/.f32 (.f32 #s(approx (/ ( (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphay alphay)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.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)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.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)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) u0))))))) #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 #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)))) #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))))
(/.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)) (fma.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u0) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.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(literal 1 binary32))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.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 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) alphax))) (/.f32 #s(approx (+ 1 (/ -1 (+ 1 (pow (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)) 2)))) #s(literal 1 binary32)) (*.f32 alphay alphay))))))))
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(/.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 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 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (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)))))))))
#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) (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (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 (.f32 alphax alphax) (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)))))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.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 alphax alphax)) (/.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 alphay alphay)))))))))
(/.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 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)))))))))
(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 u0 (.f32 (+.f32 (/.f32 (fma.f32 (cos.f32 (.f32 #s(literal 2 binary32) (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 1/2 binary32) #s(literal 1/2 binary32)) (.f32 alphax alphax)) (/.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 alphay alphay))) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/2 binary32)))

Outputs

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

Calls

13 calls:

13.0ms	(/.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))))
13.0ms	alphay
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)))
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))

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)

regimes163.0ms (0.7%)

Memory

-5.6MiB live, 196.6MiB allocated

Counts

33 → 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))
(/.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)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) 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)) (.f32 (.f32 alphay u0) (/.f32 alphay #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.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 u0 (.f32 alphay alphay)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/2 binary32))
(pow.f32 (.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)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.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)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) u0)))))) #s(literal -1/4 binary32))
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(/.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))))))))
(/.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 (.f32 alphay 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) (+.f32 #s(literal 1 binary32) #s(approx (/ u0 (* (- 1 u0) (+ (/ 1 (* alphax (+ (* alphax (pow (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)) 2)) alphax))) (/ (+ 1 (/ -1 (+ 1 (pow (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)) 2)))) (* alphay alphay))))) (/.f32 (.f32 (.f32 alphax alphax) u0) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (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 #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay 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)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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)))))))))) #s(literal 1 binary32))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.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 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) alphax))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.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))))))))
(/.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 (fma.f32 alphax (pow.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)) alphax))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.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))))) #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 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))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.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))) (-.f32 #s(literal 1 binary32) u0)))) #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) (fma.f32 (/.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 alphay alphay)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 alphax (fma.f32 (pow.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)) alphax alphax)))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (fma.f32 (/.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 alphay alphay)) #s(literal 1/2 binary32) (/.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(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)))))))))

Outputs

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

Calls

13 calls:

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	(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))))
12.0ms	(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
12.0ms	u0
11.0ms	alphay

Results

Accuracy	Segments	Branch
99.7%	1	`u0`
99.7%	1	`u1`
99.7%	1	`alphax`
99.7%	1	`alphay`
99.7%	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)))))
99.7%	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))))
99.7%	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)))
99.7%	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))
99.7%	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))))
99.7%	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)))
99.7%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
99.7%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
99.7%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`

Compiler

Compiled 574 to 219 computations (61.8% saved)

regimes113.0ms (0.5%)

Memory

2.1MiB live, 201.2MiB allocated

Counts

26 → 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))
(/.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)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) 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)) (.f32 (.f32 alphay u0) (/.f32 alphay #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) u0)))))) #s(literal -1/2 binary32))
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(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 (.f32 #s(literal 2 binary32) 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 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) (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 (.f32 alphay 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) (+.f32 #s(literal 1 binary32) #s(approx (/ u0 (* (- 1 u0) (+ (/ 1 (* alphax (+ (* alphax (pow (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)) 2)) alphax))) (/ (+ 1 (/ -1 (+ 1 (pow (* (tan (* (PI) (+ (* 2 u1) 1/2))) (/ alphay alphax)) 2)))) (* alphay alphay))))) (/.f32 (.f32 (.f32 alphax alphax) u0) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (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 #s(approx (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay 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)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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)))))))))) #s(literal 1 binary32))))

Outputs

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

Calls

13 calls:

13.0ms	(/.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)))))
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)))
9.0ms	(/.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))
9.0ms	u1
8.0ms	(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))

Results

Accuracy	Segments	Branch
98.9%	1	`u0`
98.9%	1	`u1`
98.9%	1	`alphax`
98.9%	1	`alphay`
98.9%	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)))))
98.9%	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))))
98.9%	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)))
98.9%	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))
98.9%	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))))
98.9%	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)))
98.9%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
98.9%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
98.9%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`

Compiler

Compiled 574 to 219 computations (61.8% saved)

regimes57.0ms (0.2%)

Memory

-11.3MiB live, 108.1MiB allocated

Counts

11 → 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))
(/.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)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) 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)) (.f32 (.f32 alphay u0) (/.f32 alphay #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.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 u0 (.f32 alphay alphay)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/2 binary32))
(pow.f32 (.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)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.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)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) u0)))))) #s(literal -1/4 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)) (/.f32 (.f32 u0 (.f32 alphay alphay)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.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)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.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)) (/.f32 (.f32 u0 (.f32 alphay alphay)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))) #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)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/2 binary32)))
(pow.f32 (-.f32 (/.f32 #s(literal 1 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 alphay alphay)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) u0)))))) (/.f32 (.f32 #s(approx (/ ( (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (/.f32 (.f32 u0 (.f32 alphay alphay)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.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)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.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)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) u0))))))) #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 #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)))) #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))))
(/.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)) (fma.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u0) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.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(literal 1 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)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) u0))))) #s(literal -1/2 binary32)))

Calls

13 calls:

5.0ms	u1
5.0ms	(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
4.0ms	(+.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)))
4.0ms	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
4.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))

Results

Accuracy	Segments	Branch
98.1%	1	`u0`
98.1%	1	`u1`
98.1%	1	`alphax`
98.1%	1	`alphay`
98.1%	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)))))
98.1%	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))))
98.1%	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)))
98.1%	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))
98.1%	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))))
98.1%	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)))
98.1%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
98.1%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
98.1%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`

Compiler

Compiled 574 to 219 computations (61.8% saved)

regimes39.0ms (0.2%)

Memory

10.2MiB live, 87.0MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs

(pow.f32 (*.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)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.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)) #s(approx (* (- 1 u0) (- 1 (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))))) (-.f32 #s(literal 1 binary32) u0)))))) #s(literal -1/4 binary32))

Calls

13 calls:

4.0ms	alphax
4.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
3.0ms	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
3.0ms	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
3.0ms	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))

Results

Accuracy	Segments	Branch
98.0%	1	`u0`
98.0%	1	`u1`
98.0%	1	`alphax`
98.0%	1	`alphay`
98.0%	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)))))
98.0%	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))))
98.0%	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)))
98.0%	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))
98.0%	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))))
98.0%	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)))
98.0%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
98.0%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
98.0%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`

Compiler

Compiled 574 to 219 computations (61.8% saved)

regimes33.0ms (0.1%)

Memory

-9.1MiB live, 71.9MiB allocated

Counts

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

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

Calls

13 calls:

4.0ms	u0
3.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
3.0ms	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
3.0ms	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
2.0ms	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))

Results

Accuracy	Segments	Branch
98.0%	1	`u0`
98.0%	1	`u1`
98.0%	1	`alphax`
98.0%	1	`alphay`
98.0%	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)))))
98.0%	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))))
98.0%	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)))
98.0%	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))
98.0%	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))))
98.0%	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)))
98.0%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
98.0%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
98.0%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`

Compiler

Compiled 574 to 219 computations (61.8% saved)

regimes33.0ms (0.1%)

Memory

3.9MiB live, 42.3MiB allocated

Counts

2 → 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))

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

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

Calls

13 calls:

11.0ms	alphay
2.0ms	(+.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)))
2.0ms	(/.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))
2.0ms	(/.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))))
2.0ms	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))

Results

Accuracy	Segments	Branch
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)

regimes39.0ms (0.2%)

Memory

-2.4MiB live, 36.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 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))

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:

20.0ms	(/.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)))))
2.0ms	(/.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))
2.0ms	(/.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))))
2.0ms	(+.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)))
1.0ms	(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))))

Results

Accuracy	Segments	Branch
91.6%	1	`u1`
91.6%	1	`alphay`
91.6%	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)))))
91.6%	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))))
91.6%	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)))
91.6%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
91.6%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
91.6%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`
91.6%	1	`alphax`
91.6%	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))))
91.6%	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)))
91.6%	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))
91.6%	1	`u0`

Compiler

Compiled 574 to 219 computations (61.8% saved)

simplify14.0ms (0.1%)

Memory

28.3MiB live, 28.3MiB allocated

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative_binary32`
26×	`+-commutative_binary32`
4×	`sub-neg_binary32`
2×	`neg-sub0_binary32`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	1087
1	155	1087
2	158	1087
3	160	1087
4	161	1087

Stop Event

1×

saturated

Calls

Call 1

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

soundness2.5s (9.8%)

Memory

-16.2MiB live, 1 505.3MiB allocated

Rules

9 076×	`lower-fma.f64`
9 076×	`lower-fma.f32`
8 572×	`lower-*.f64`
8 572×	`lower-*.f32`
8 156×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3771	266781
0	8524	264399
0	86	1368
0	138	1134
1	597	991
2	6048	952
0	8376	951
0	120	2061
0	190	1731
1	835	1570
2	7778	1552
0	8382	1548
0	29	319
0	51	214
1	204	198
2	1855	198
0	8810	187
0	345	12504
1	1135	11347
2	4797	11342
0	8608	10739
0	1548	126144
1	5429	125685
0	8559	118733
0	2808	170388
0	9259	160407
0	87	1666
0	145	1280
1	634	1116
2	6116	1098
0	9590	1098

Stop Event

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

Compiler

Compiled 405 to 177 computations (56.3% saved)

preprocess110.0ms (0.4%)

Memory: 19.1MiB live, 132.8MiB allocated
Compiler: Compiled 738 to 220 computations (70.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.2s (4.7%)

sample4.3s (17.3%)

preprocess292.0ms (1.2%)

explain534.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify247.0ms (1%)

localize158.0ms (0.6%)

series102.0ms (0.4%)

simplify365.0ms (1.5%)

rewrite556.0ms (2.2%)

eval412.0ms (1.7%)

prune236.0ms (0.9%)

simplify380.0ms (1.5%)

localize631.0ms (2.5%)

series528.0ms (2.1%)

simplify900.0ms (3.6%)

rewrite354.0ms (1.4%)

eval409.0ms (1.6%)

prune329.0ms (1.3%)

simplify445.0ms (1.8%)

localize605.0ms (2.4%)

series929.0ms (3.7%)

simplify1.2s (4.6%)

rewrite652.0ms (2.6%)

eval563.0ms (2.3%)

prune464.0ms (1.9%)

simplify324.0ms (1.3%)

localize592.0ms (2.4%)

series585.0ms (2.3%)

simplify1.8s (7.4%)

rewrite474.0ms (1.9%)

eval531.0ms (2.1%)

prune455.0ms (1.8%)

regimes192.0ms (0.8%)

regimes148.0ms (0.6%)

regimes163.0ms (0.7%)

regimes113.0ms (0.5%)

regimes57.0ms (0.2%)

regimes39.0ms (0.2%)

regimes33.0ms (0.1%)

regimes33.0ms (0.1%)

regimes39.0ms (0.2%)

simplify14.0ms (0.1%)

soundness2.5s (9.8%)

preprocess110.0ms (0.4%)

end0.0ms (0%)

Profiling