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

start0.0ms (0%)

Memory: 0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

analyze1.5s (9.1%)

Memory

-40.3MiB live, 1 905.3MiB allocated; 261ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 120 to 50 computations (58.3% saved)

sample4.6s (27.7%)

Memory

125.8MiB live, 6 269.8MiB allocated; 1.6s collecting garbage

Samples

3.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 2.8s

ival-mult: 543.0ms (19.1% of total)

const: 401.0ms (14.1% of total)

ival-div: 328.0ms (11.5% of total)

ival-cos: 299.0ms (10.5% of total)

ival-tan: 291.0ms (10.2% of total)

ival-<=: 280.0ms (9.8% of total)

ival-sin: 265.0ms (9.3% of total)

ival-add: 116.0ms (4.1% of total)

ival-sqrt: 86.0ms (3% of total)

ival-atan: 82.0ms (2.9% of total)

ival-sub: 57.0ms (2% of total)

ival-and: 44.0ms (1.5% of total)

ival-pi: 38.0ms (1.3% of total)

exact: 13.0ms (0.5% of total)

adjust: 3.0ms (0.1% of total)

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

Bogosity

explain559.0ms (3.4%)

Memory

-10.7MiB live, 1 225.7MiB allocated; 153ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
205	3	(6.712107278872281e-5 0.0012604424264281988 0.0005666458746418357 0.053797993808984756)	12	(1.106125324668028e-8 0.005156198050826788 0.020345447584986687 0.011057022027671337)	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
195	5	(0.0672796294093132 5.8923978940583766e-5 0.0230014156550169 0.0007713424856774509)	6	(0.18387465178966522 0.0020028352737426758 0.0017891101306304336 0.0011672422988340259)	`(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))`
0	0	-	0	-	(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
0	0	-	0	-	`(*.f32 alphax alphax)`
0	0	-	0	-	`(.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))`
0	0	-	0	-	`(PI.f32)`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`(/.f32 alphay alphax)`
0	0	-	0	-	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
0	0	-	0	-	`#s(literal 1/2 binary32)`
0	0	-	0	-	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
0	0	-	0	-	`(-.f32 #s(literal 1 binary32) u0)`
0	0	-	0	-	`u1`
0	0	-	0	-	`(*.f32 #s(literal 1/2 binary32) (PI.f32))`
0	0	-	0	-	`alphax`
0	0	-	0	-	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
0	0	-	0	-	`u0`
0	0	-	0	-	`(.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))`
0	0	-	0	-	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`
0	0	-	0	-	`(sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))`
0	0	-	0	-	`(*.f32 alphay alphay)`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0)
0	0	-	0	-	`(atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))`
0	0	-	0	-	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
0	0	-	0	-	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
0	0	-	0	-	`(/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))`
0	0	-	0	-	`(.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))`
0	0	-	0	-	`alphay`
0	0	-	0	-	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
0	0	-	0	-	`(/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax))`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) (PI.f32))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`tan.f32`	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`	cancellation	196	16
`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	194	15

Confusion

	Predicted +	Predicted -
+	0	0
-	210	46

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	210	14	32

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	46
1	30
2	180

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

153.0ms	506×	0	valid
4.0ms	6×	1	valid

Compiler

Compiled 1 740 to 100 computations (94.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-mult: 27.0ms (20.9% of total)

ival-tan: 22.0ms (17% of total)

ival-div: 20.0ms (15.5% of total)

ival-cos: 18.0ms (13.9% of total)

ival-sin: 17.0ms (13.2% of total)

ival-add: 9.0ms (7% of total)

ival-atan: 6.0ms (4.6% of total)

ival-sqrt: 4.0ms (3.1% of total)

ival-sub: 3.0ms (2.3% of total)

ival-pi: 2.0ms (1.5% of total)

adjust: 1.0ms (0.8% of total)

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

exact: 1.0ms (0.8% of total)

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

preprocess165.0ms (1%)

Memory

17.2MiB live, 202.1MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	207	1348
1	646	1310
2	2452	1188
0	32	88
0	57	88
1	117	86
2	345	78
3	1245	69
4	5209	69
0	8039	66

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Compiler

Compiled 88 to 32 computations (63.6% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

99.4%

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

Compiler

Compiled 88 to 32 computations (63.6% saved)

simplify120.0ms (0.7%)

Memory

29.1MiB live, 160.0MiB allocated; 26ms collecting garbage

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	824
0	57	824
1	117	814
2	345	730
3	1245	667
4	5209	667
0	8039	632

Stop Event

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

Calls

Call 1

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

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

localize129.0ms (0.8%)

Memory

-29.1MiB live, 216.1MiB allocated; 37ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.37890625	(.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	0.45445253907376815	(.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))
accuracy	12.410964605965505	(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
accuracy	13.457725845376688	(cos.f32 (atan.f32 (.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

75.0ms	253×	0	valid
2.0ms	3×	1	valid

Compiler

Compiled 826 to 34 computations (95.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 15.0ms (23.9% of total)

ival-div: 10.0ms (16% of total)

ival-tan: 10.0ms (16% of total)

ival-sin: 10.0ms (16% of total)

ival-cos: 8.0ms (12.8% of total)

ival-atan: 3.0ms (4.8% of total)

ival-add: 3.0ms (4.8% of total)

ival-sqrt: 2.0ms (3.2% of total)

ival-pi: 1.0ms (1.6% of total)

ival-sub: 1.0ms (1.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series173.0ms (1%)

Memory

-2.8MiB live, 225.5MiB allocated; 35ms collecting garbage

Counts

8 → 62

Calls

Call 1

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

Outputs
#s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) #s(hole binary32 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))
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alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (+ (* -1/2 (/ (* (pow alphax 4) (* u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0))))))))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (* (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (- 1 u0))))) (+ (/ (* (pow alphax 4) (* u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (* (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (- 1 u0)))) (/ (* (pow alphax 10) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 10) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))))) (pow alphay 6)) (sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) (pow alphay 4)) (sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* 1/2 (* (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3))))))))))

Calls

12 calls:

Time	Variable		Point	Expression
22.0ms	alphax	@	-inf	((+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))
19.0ms	alphay	@	inf	((+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))
19.0ms	alphax	@	inf	((+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))
16.0ms	u1	@	-inf	((+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))
12.0ms	u0	@	inf	((+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))

simplify196.0ms (1.2%)

Memory

39.9MiB live, 224.7MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	630	19679
1	2076	16316
0	8283	15212

Stop Event

1×	iter limit
1×	node limit

Counts

62 → 62

Calls

Call 1

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

rewrite165.0ms (1%)

Memory

-24.8MiB live, 119.8MiB allocated; 118ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	324
0	57	219
1	232	202
0	2108	191

Stop Event

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

Counts

8 → 193

Calls

Call 1

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

eval111.0ms (0.7%)

Memory: 29.8MiB live, 217.4MiB allocated; 44ms collecting garbage
Compiler: Compiled 57 249 to 4 956 computations (91.3% saved)

prune26.0ms (0.2%)

Memory

7.8MiB live, 53.5MiB allocated; 14ms collecting garbage

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	473	10	483
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	474	10	484

Accuracy

100.0%

Counts

484 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
	99.4%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32))))
▶	98.1%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax) (/.f32 alphay (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)))))
	46.1%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphax alphax) u0) (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax) (/.f32 alphay (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
▶	96.5%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax) (/.f32 alphay (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32))) (/.f32 (.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))
	37.7%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (.f32 (.f32 alphax alphax) u0) (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax) (/.f32 alphay (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)))
	95.3%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (fma.f32 #s(literal -1/2 binary32) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax) (/.f32 alphay (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)) (.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax) (/.f32 alphay (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)) (.f32 alphax alphax)))) #s(literal 1 binary32)))
▶	98.5%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax) (/.f32 alphay (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)))))
	46.0%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax) (/.f32 alphay (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)))))
▶	90.3%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))

Compiler

Compiled 2 152 to 930 computations (56.8% saved)

simplify134.0ms (0.8%)

Memory

-1.0MiB live, 144.5MiB allocated; 69ms collecting garbage

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	83	1970
0	133	1688
1	259	1594
2	666	1594
3	2624	1594
0	8709	1594

Stop Event

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

Calls

Call 1

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

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

localize399.0ms (2.4%)

Memory

-12.4MiB live, 386.6MiB allocated; 75ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.3248825195368841	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax) (/.f32 alphay (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
accuracy	0.3912887695368841	(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
accuracy	5.166960727539997	#s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax) (/.f32 alphay (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32))))
accuracy	12.336934304453576	(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
accuracy	0.3248825195368841	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax) (/.f32 alphay (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
accuracy	0.3912887695368841	(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
accuracy	0.4608143835114636	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax) (/.f32 alphay (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
accuracy	12.336934304453576	(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
accuracy	0.3248825195368841	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax) (/.f32 alphay (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
accuracy	0.3912887695368841	(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
accuracy	1.1130720130340284	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) alphax) (/.f32 alphay (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32))) (/.f32 (.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))
accuracy	12.336934304453576	(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
accuracy	3.090365624696873	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))
accuracy	0.4733200195368841	(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32))
accuracy	0.5201950195368841	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32))
accuracy	12.410964605965505	(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))))
accuracy	13.457725845376688	(cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))

Samples

283.0ms	254×	0	valid
3.0ms	2×	1	valid

Compiler

Compiled 1 825 to 76 computations (95.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 246.0ms

ival-mult: 85.0ms (34.5% of total)

ival-div: 42.0ms (17% of total)

ival-sin: 23.0ms (9.3% of total)

ival-tan: 16.0ms (6.5% of total)

ival-sinu: 15.0ms (6.1% of total)

ival-cos: 14.0ms (5.7% of total)

ival-pow: 10.0ms (4.1% of total)

ival-cosu: 10.0ms (4.1% of total)

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

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

ival-atan: 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)

exact: 1.0ms (0.4% of total)

adjust: 0.0ms (0% of total)

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

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

series389.0ms (2.3%)

Memory

-24.6MiB live, 391.8MiB allocated; 50ms collecting garbage

Counts

25 → 286

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
62.0ms	u1	@	inf	((+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (+ (* (/ -1/2 (pow (sin (atan (* (/ (sin (* (PI) (+ (* 2 u1) 1/2))) alphax) (/ alphay (cos (* (PI) (+ (* 2 u1) 1/2))))))) 2)) (/ (* (* alphay alphay) u0) (- 1 u0))) 1) (/ -1/2 (pow (sin (atan (* (/ (sin (* (PI) (+ (* 2 u1) 1/2))) alphax) (/ alphay (cos (* (PI) (+ (* 2 u1) 1/2))))))) 2)) (pow (sin (atan (* (/ (sin (* (PI) (+ (* 2 u1) 1/2))) alphax) (/ alphay (cos (* (PI) (+ (* 2 u1) 1/2))))))) 2) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (* (/ (* alphay alphay) (- 1 u0)) (/ u0 (pow (sin (atan (* (/ (sin (* (PI) (+ (* 2 u1) 1/2))) alphax) (/ alphay (cos (* (PI) (+ (* 2 u1) 1/2))))))) 2))) 1))) (/ 1 (+ (* (/ (* alphay alphay) (- 1 u0)) (/ u0 (pow (sin (atan (* (/ (sin (* (PI) (+ (* 2 u1) 1/2))) alphax) (/ alphay (cos (* (PI) (+ (* 2 u1) 1/2))))))) 2))) 1)) (+ (* (/ (* alphay alphay) (- 1 u0)) (/ u0 (pow (sin (atan (* (/ (sin (* (PI) (+ (* 2 u1) 1/2))) alphax) (/ alphay (cos (* (PI) (+ (* 2 u1) 1/2))))))) 2))) 1) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))) (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2) (cos (* (PI) (+ (* 2 u1) 1/2))) (* (PI) (+ (* 2 u1) 1/2)) (* (/ (sin (* (PI) (+ (* 2 u1) 1/2))) alphax) (/ alphay (cos (* (PI) (+ (* 2 u1) 1/2))))) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0))
58.0ms	alphay	@	-inf	((+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (+ (* (/ -1/2 (pow (sin (atan (* (/ (sin (* (PI) (+ (* 2 u1) 1/2))) alphax) (/ alphay (cos (* (PI) (+ (* 2 u1) 1/2))))))) 2)) (/ (* (* alphay alphay) u0) (- 1 u0))) 1) (/ -1/2 (pow (sin (atan (* (/ (sin (* (PI) (+ (* 2 u1) 1/2))) alphax) (/ alphay (cos (* (PI) (+ (* 2 u1) 1/2))))))) 2)) (pow (sin (atan (* (/ (sin (* (PI) (+ (* 2 u1) 1/2))) alphax) (/ alphay (cos (* (PI) (+ (* 2 u1) 1/2))))))) 2) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (* (/ (* alphay alphay) (- 1 u0)) (/ u0 (pow (sin (atan (* (/ (sin (* (PI) (+ (* 2 u1) 1/2))) alphax) (/ alphay (cos (* (PI) (+ (* 2 u1) 1/2))))))) 2))) 1))) (/ 1 (+ (* (/ (* alphay alphay) (- 1 u0)) (/ u0 (pow (sin (atan (* (/ (sin (* (PI) (+ (* 2 u1) 1/2))) alphax) (/ alphay (cos (* (PI) (+ (* 2 u1) 1/2))))))) 2))) 1)) (+ (* (/ (* alphay alphay) (- 1 u0)) (/ u0 (pow (sin (atan (* (/ (sin (* (PI) (+ (* 2 u1) 1/2))) alphax) (/ alphay (cos (* (PI) (+ (* 2 u1) 1/2))))))) 2))) 1) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))) (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2) (cos (* (PI) (+ (* 2 u1) 1/2))) (* (PI) (+ (* 2 u1) 1/2)) (* (/ (sin (* (PI) (+ (* 2 u1) 1/2))) alphax) (/ alphay (cos (* (PI) (+ (* 2 u1) 1/2))))) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0))
39.0ms	alphax	@	0	((+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 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(tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (* (/ (* alphay alphay) (- 1 u0)) (/ u0 (pow (sin (atan (* (/ (sin (* (PI) (+ (* 2 u1) 1/2))) alphax) (/ alphay (cos (* (PI) (+ (* 2 u1) 1/2))))))) 2))) 1))) (/ 1 (+ (* (/ (* alphay alphay) (- 1 u0)) (/ u0 (pow (sin (atan (* (/ (sin (* (PI) (+ (* 2 u1) 1/2))) alphax) (/ alphay (cos (* (PI) (+ (* 2 u1) 1/2))))))) 2))) 1)) (+ (* (/ (* alphay alphay) (- 1 u0)) (/ u0 (pow (sin (atan (* (/ (sin (* (PI) (+ (* 2 u1) 1/2))) alphax) (/ alphay (cos (* (PI) (+ (* 2 u1) 1/2))))))) 2))) 1) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) 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(* alphay alphay)))) u0) (- 1 u0))) (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2) (cos (* (PI) (+ (* 2 u1) 1/2))) (* (PI) (+ (* 2 u1) 1/2)) (* (/ (sin (* (PI) (+ (* 2 u1) 1/2))) alphax) (/ alphay (cos (* (PI) (+ (* 2 u1) 1/2))))) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0))

simplify369.0ms (2.2%)

Memory

26.0MiB live, 457.6MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1579	66182
1	5117	62844
0	8222	58688

Stop Event

1×	iter limit
1×	node limit

Counts

286 → 286

Calls

Call 1

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

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

rewrite181.0ms (1.1%)

Memory

4.2MiB live, 191.4MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	83	1346
0	133	1060
1	558	870
0	4736	870

Stop Event

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

Counts

25 → 517

Calls

Call 1

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

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

eval323.0ms (1.9%)

Memory: -13.5MiB live, 314.3MiB allocated; 52ms collecting garbage
Compiler: Compiled 144 169 to 6 350 computations (95.6% saved)

prune108.0ms (0.6%)

Memory

19.0MiB live, 167.5MiB allocated; 27ms collecting garbage

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	961	18	979
Fresh	5	0	5
Picked	4	1	5
Done	0	0	0
Total	970	19	989

Accuracy

100.0%

Counts

989 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)) #s(literal 1 binary32)))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
	98.1%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (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) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))) #s(literal 2 binary32) (.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) (.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32)))))
	98.0%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 #s(approx (* (/ (sin (* (PI) (+ (* 2 u1) 1/2))) alphax) (/ alphay (cos (* (PI) (+ (* 2 u1) 1/2))))) (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
	98.1%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (-.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1/2 binary32))))) (-.f32 #s(literal 1 binary32) u0)))))
	46.1%	(/.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))) (fma.f32 (/.f32 (.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))
▶	44.8%	(/.f32 #s(literal 1 binary32) #s(approx (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) (fma.f32 (.f32 (/.f32 (.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1/2 binary32) #s(literal 1 binary32))))
▶	99.9%	(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) alphax) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) alphay) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32))))
	37.7%	#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (fma.f32 (.f32 (/.f32 (.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal -1/2 binary32) #s(literal 1 binary32)))
	96.4%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (pow.f32 (sin.f32 (atan.f32 #s(approx (* (/ (sin (* (PI) (+ (* 2 u1) 1/2))) alphax) (/ alphay (cos (* (PI) (+ (* 2 u1) 1/2))))) (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))) (/.f32 (.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))
▶	96.5%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1/2 binary32)))) (/.f32 (.f32 (.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))
	96.4%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 alphay alphay) u0) #s(literal -1/2 binary32)) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 2 binary32) (.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))))
	98.4%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 #s(approx ( (/ (sin (* (PI) (+ (* 2 u1) 1/2))) alphax) (/ alphay (cos (* (PI) (+ (* 2 u1) 1/2))))) (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
	98.5%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1/2 binary32)))) #s(literal 1 binary32)))))
▶	98.3%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 2 binary32) (.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) (.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))))))
	96.1%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphay alphay) (- 1 u0)) (/ u0 (pow (sin (atan (* (/ (sin (* (PI) (+ (* 2 u1) 1/2))) alphax) (/ alphay (cos (* (PI) (+ (* 2 u1) 1/2))))))) 2))) 1) (fma.f32 (/.f32 (fma.f32 alphay alphay (.f32 (.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) u0 #s(literal 1 binary32))))))
	98.3%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphay alphay) (- 1 u0)) (/ u0 (pow (sin (atan (* (/ (sin (* (PI) (+ (* 2 u1) 1/2))) alphax) (/ alphay (cos (* (PI) (+ (* 2 u1) 1/2))))))) 2))) 1) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphay alphay)) (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (.f32 alphay alphay))))))
	94.8%	#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))))) #s(approx (+ (* (/ -1/2 (pow (sin (atan (* (/ (sin (* (PI) (+ (* 2 u1) 1/2))) alphax) (/ alphay (cos (* (PI) (+ (* 2 u1) 1/2))))))) 2)) (/ (* (* alphay alphay) u0) (- 1 u0))) 1) (fma.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) #s(literal -1/2 binary32) #s(literal 1 binary32))))
▶	95.7%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(approx (+ (* (/ -1/2 (pow (sin (atan (* (/ (sin (* (PI) (+ (* 2 u1) 1/2))) alphax) (/ alphay (cos (* (PI) (+ (* 2 u1) 1/2))))))) 2)) (/ (* (* alphay alphay) u0) (- 1 u0))) 1) (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 alphay alphay (.f32 (.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)))) u0 #s(literal 1 binary32))))
✓	90.3%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))

Compiler

Compiled 4 564 to 2 048 computations (55.1% saved)

simplify153.0ms (0.9%)

Memory

11.8MiB live, 239.9MiB allocated; 24ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f32 (.f32 (/.f32 (.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1/2 binary32) #s(literal 1 binary32))
cost-diff	0	#s(approx (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) (fma.f32 (.f32 (/.f32 (.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1/2 binary32) #s(literal 1 binary32)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) (fma.f32 (.f32 (/.f32 (.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1/2 binary32) #s(literal 1 binary32))))
cost-diff	1	(sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
cost-diff	0	#s(approx (+ (* (/ -1/2 (pow (sin (atan (* (/ (sin (* (PI) (+ (* 2 u1) 1/2))) alphax) (/ alphay (cos (* (PI) (+ (* 2 u1) 1/2))))))) 2)) (/ (* (* alphay alphay) u0) (- 1 u0))) 1) (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 alphay alphay (.f32 (.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)))) u0 #s(literal 1 binary32)))
cost-diff	0	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(approx (+ (* (/ -1/2 (pow (sin (atan (* (/ (sin (* (PI) (+ (* 2 u1) 1/2))) alphax) (/ alphay (cos (* (PI) (+ (* 2 u1) 1/2))))))) 2)) (/ (* (* alphay alphay) u0) (- 1 u0))) 1) (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 alphay alphay (.f32 (.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)))) u0 #s(literal 1 binary32))))
cost-diff	1	(sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
cost-diff	2	(fma.f32 alphay alphay (.f32 (.f32 alphay alphay) u0))
cost-diff	0	(sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 2 binary32) (.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) (.f32 (-.f32 #s(literal 1 binary32) u0) #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))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 2 binary32) (.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) (.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))))))
cost-diff	2	(fma.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32)))
cost-diff	6	(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 2 binary32) (.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) (.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32)))
cost-diff	0	(/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1/2 binary32))))
cost-diff	0	(fma.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1/2 binary32)))) (/.f32 (.f32 (.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))
cost-diff	0	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1/2 binary32)))) (/.f32 (.f32 (.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))
cost-diff	1	(-.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1/2 binary32)))
cost-diff	0	(/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) alphax) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) alphay) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))
cost-diff	0	(-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) alphax) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) alphay) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32))
cost-diff	0	(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) alphax) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) alphay) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)))
cost-diff	0	(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) alphax) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) alphay) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	2060
0	169	2055
1	347	1823
2	1154	1815
3	6742	1791
0	8225	1774

Stop Event

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

Calls

Call 1

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

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

localize492.0ms (3%)

Memory

-9.9MiB live, 679.6MiB allocated; 101ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.45445253907376815	(pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))
accuracy	12.336934304453576	(cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
accuracy	13.457725845376688	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))))
accuracy	17.66644262942069	#s(approx (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) (fma.f32 (.f32 (/.f32 (.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1/2 binary32) #s(literal 1 binary32)))
accuracy	0.3912887695368841	(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))
accuracy	1.0382991547985454	#s(approx (+ (* (/ -1/2 (pow (sin (atan (* (/ (sin (* (PI) (+ (* 2 u1) 1/2))) alphax) (/ alphay (cos (* (PI) (+ (* 2 u1) 1/2))))))) 2)) (/ (* (* alphay alphay) u0) (- 1 u0))) 1) (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 alphay alphay (.f32 (.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)))) u0 #s(literal 1 binary32)))
accuracy	1.1130720130340284	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(approx (+ (* (/ -1/2 (pow (sin (atan (* (/ (sin (* (PI) (+ (* 2 u1) 1/2))) alphax) (/ alphay (cos (* (PI) (+ (* 2 u1) 1/2))))))) 2)) (/ (* (* alphay alphay) u0) (- 1 u0))) 1) (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 alphay alphay (.f32 (.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)))) u0 #s(literal 1 binary32))))
accuracy	12.336934304453576	(cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
accuracy	0.37890625	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))
accuracy	0.3912887695368841	(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))
accuracy	0.4608143835114636	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay 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 (fma.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 2 binary32) (.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) (.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))))))
accuracy	12.410964605965505	(tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
accuracy	0.3912887695368841	(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))
accuracy	0.4145677147320201	(-.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1/2 binary32)))
accuracy	1.1130720130340284	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1/2 binary32)))) (/.f32 (.f32 (.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))
accuracy	12.410964605965505	(tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
accuracy	0.4733200195368841	(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) alphax) #s(literal 2 binary32))
accuracy	0.5201950195368841	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) alphay) #s(literal 2 binary32))
accuracy	12.410964605965505	(tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
accuracy	13.457725845376688	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))

Samples

395.0ms	251×	0	valid
14.0ms	5×	1	valid

Compiler

Compiled 1 902 to 99 computations (94.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 323.0ms

ival-cos: 82.0ms (25.4% of total)

ival-tanu: 43.0ms (13.3% of total)

ival-mult: 43.0ms (13.3% of total)

ival-div: 37.0ms (11.5% of total)

ival-sin: 34.0ms (10.5% of total)

ival-pow2: 18.0ms (5.6% of total)

ival-add: 13.0ms (4% of total)

ival-atan: 10.0ms (3.1% of total)

ival-cosu: 10.0ms (3.1% of total)

ival-sinu: 9.0ms (2.8% of total)

ival-sub: 8.0ms (2.5% of total)

ival-tan: 8.0ms (2.5% of total)

ival-sqrt: 5.0ms (1.5% of total)

adjust: 1.0ms (0.3% of total)

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

exact: 1.0ms (0.3% of total)

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

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

series1.0s (6.1%)

Memory

13.4MiB live, 678.8MiB allocated; 86ms collecting garbage

Counts

28 → 294

Calls

Call 1

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

Outputs
#s(approx (sqrt (/ 1 (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1))) #s(hole binary32 1))
#s(approx (sqrt (/ 1 (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1))) #s(hole binary32 (+ 1 (* -1/2 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))))))))
#s(approx (sqrt (/ 1 (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1))) #s(hole binary32 (+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))))))) (* 1/2 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))))))))))
#s(approx (sqrt (/ 1 (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1))) #s(hole binary32 (+ 1 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))))) (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))))) (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))) (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))))))) (* 1/2 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))))))))))
#s(approx (/ 1 (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1)) #s(hole binary32 1))
#s(approx (/ 1 (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1)) #s(hole binary32 (+ 1 (* -1 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))))))))
#s(approx (/ 1 (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1)) #s(hole binary32 (+ 1 (* u0 (- (* u0 (- (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))) 2)) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))))))))
#s(approx (/ 1 (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1)) #s(hole binary32 (+ 1 (* u0 (- (* u0 (- (+ (* u0 (- (* 2 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))) 2))) (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))) (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))) 3))))) (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))))))))
#s(approx (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1) #s(hole binary32 1))
#s(approx (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1) #s(hole binary32 (+ 1 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))))))
#s(approx (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1) #s(hole binary32 (+ 1 (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))))))))
#s(approx (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1) #s(hole binary32 (+ 1 (* u0 (+ (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))))))))
#s(approx (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) #s(hole binary32 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))))))
#s(approx (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) #s(hole binary32 (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))))))))
#s(approx (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) #s(hole binary32 (* u0 (+ (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))))))))
#s(approx (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) #s(hole binary32 (* u0 (+ (* u0 (+ (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay 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(hole binary32 1))
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#s(approx (+ (* alphay alphay) (* (* alphay alphay) u0)) #s(hole binary32 (* (pow alphay 2) u0)))
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Calls

12 calls:

Time	Variable		Point	Expression
534.0ms	alphax	@	inf	((sqrt (/ 1 (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1))) (/ 1 (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1)) (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1) (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2)) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (+ (* (/ -1/2 (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2))) (/ (* (* alphay alphay) u0) (- 1 u0))) 1) (/ -1/2 (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2))) (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)) (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))) (+ (* alphay alphay) (* (* alphay alphay) u0)) (sin (* (+ (* 2 u1) 1/2) (PI))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay 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 (pow (sin (atan (* (/ (sin (* (PI) (+ (* 2 u1) 1/2))) alphax) (/ alphay (cos (* (PI) (+ (* 2 u1) 1/2))))))) 2)) (/ (* (* alphay alphay) u0) (- 1 u0))) 1) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) (+ (* (* (/ (* alphax alphax) (pow (cos (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1/2) 1) (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) (tan (* (+ (* 2 u1) 1/2) (PI))) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2) (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (* (+ (* 2 u1) 1/2) (PI)) (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))) (cos (* (+ (* 2 u1) 1/2) (PI))) (cos (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) (pow (cos (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2))
54.0ms	alphay	@	-inf	((sqrt (/ 1 (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1))) (/ 1 (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1)) (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1) (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2)) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (+ (* (/ -1/2 (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2))) (/ (* (* alphay alphay) u0) (- 1 u0))) 1) (/ -1/2 (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2))) (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)) (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))) (+ (* alphay alphay) (* (* alphay alphay) u0)) (sin (* (+ (* 2 u1) 1/2) (PI))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay 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 (pow (sin (atan (* (/ (sin (* (PI) (+ (* 2 u1) 1/2))) alphax) (/ alphay (cos (* (PI) (+ (* 2 u1) 1/2))))))) 2)) (/ (* (* alphay alphay) u0) (- 1 u0))) 1) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) (+ (* (* (/ (* alphax alphax) (pow (cos (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1/2) 1) (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) (tan (* (+ (* 2 u1) 1/2) (PI))) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2) (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (* (+ (* 2 u1) 1/2) (PI)) (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))) (cos (* (+ (* 2 u1) 1/2) (PI))) (cos (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) (pow (cos (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2))
52.0ms	alphax	@	-inf	((sqrt (/ 1 (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1))) (/ 1 (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1)) (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1) (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2)) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (+ (* (/ -1/2 (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2))) (/ (* (* alphay alphay) u0) (- 1 u0))) 1) (/ -1/2 (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2))) (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)) (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))) (+ (* alphay alphay) (* (* alphay alphay) u0)) (sin (* (+ (* 2 u1) 1/2) (PI))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay 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 (pow (sin (atan (* (/ (sin (* (PI) (+ (* 2 u1) 1/2))) alphax) (/ alphay (cos (* (PI) (+ (* 2 u1) 1/2))))))) 2)) (/ (* (* alphay alphay) u0) (- 1 u0))) 1) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) (+ (* (* (/ (* alphax alphax) (pow (cos (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1/2) 1) (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) (tan (* (+ (* 2 u1) 1/2) (PI))) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2) (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (* (+ (* 2 u1) 1/2) (PI)) (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))) (cos (* (+ (* 2 u1) 1/2) (PI))) (cos (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) (pow (cos (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2))
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40.0ms	alphay	@	0	((sqrt (/ 1 (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1))) (/ 1 (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1)) (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1) (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2)) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (+ (* (/ -1/2 (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2))) (/ (* (* alphay alphay) u0) (- 1 u0))) 1) (/ -1/2 (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2))) (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)) (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))) (+ (* alphay alphay) (* (* alphay alphay) u0)) (sin (* (+ (* 2 u1) 1/2) (PI))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay 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 (pow (sin (atan (* (/ (sin (* (PI) (+ (* 2 u1) 1/2))) alphax) (/ alphay (cos (* (PI) (+ (* 2 u1) 1/2))))))) 2)) (/ (* (* alphay alphay) u0) (- 1 u0))) 1) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) (+ (* (* (/ (* alphax alphax) (pow (cos (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1/2) 1) (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) (tan (* (+ (* 2 u1) 1/2) (PI))) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2) (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (* (+ (* 2 u1) 1/2) (PI)) (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))) (cos (* (+ (* 2 u1) 1/2) (PI))) (cos (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) (pow (cos (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2))

simplify328.0ms (2%)

Memory

-24.5MiB live, 497.4MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2130	66750
1	7744	63521
0	8107	59336

Stop Event

1×	iter limit
1×	node limit

Counts

294 → 294

Calls

Call 1

Inputs
#s(approx (sqrt (/ 1 (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1))) #s(hole binary32 1))
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#s(approx (+ (* alphay alphay) (* (* alphay alphay) u0)) #s(hole binary32 (* (pow alphay 2) u0)))
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#s(approx (sqrt (/ 1 (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))) #s(hole binary32 (* -1 (* (/ (* (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) (* (sqrt 1/2) (sqrt 2))) alphay) (sqrt (/ (- 1 u0) u0))))))
#s(approx (sqrt (/ 1 (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))) #s(hole binary32 (* -1 (/ (+ (* -1/4 (* (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (sqrt 2)) (* (pow alphay 2) (sqrt 1/2))) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (* (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) (* (sqrt 1/2) (sqrt 2))))) alphay))))
#s(approx (sqrt (/ 1 (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -1/2 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/16 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (* (pow u0 3) (pow (sqrt 1/2) 2)))))) (* (pow alphay 4) (* (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) (sqrt 1/2)))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/4 (* (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (sqrt 2)) (* (pow alphay 2) (sqrt 1/2))) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (* (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) (* (sqrt 1/2) (sqrt 2)))))) alphay))))
#s(approx (sqrt (/ 1 (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -1/2 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/16 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (* (pow u0 3) (pow (sqrt 1/2) 2)))))) (* (pow alphay 4) (* (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) (sqrt 1/2)))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (* (sqrt 2) (+ (* 1/4 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (* (+ (* -1/2 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/16 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (* (pow u0 3) (pow (sqrt 1/2) 2))))) (- 1 u0))) (* u0 (pow (sqrt 1/2) 2)))) (* 1/2 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (pow (- 1 u0) 4)) (pow u0 4))))) (* (pow alphay 6) (* (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) (sqrt 1/2)))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/4 (* (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (sqrt 2)) (* (pow alphay 2) (sqrt 1/2))) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (* (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) (* (sqrt 1/2) (sqrt 2))))))) alphay))))

Outputs
#s(approx (sqrt (/ 1 (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1))) #s(hole binary32 1))
#s(approx (sqrt (/ 1 (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1))) #s(literal 1 binary32))
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#s(approx (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1) #s(hole binary32 1))
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#s(approx (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1) #s(hole binary32 (+ 1 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))))))
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#s(approx (+ (* (* (/ (* alphax alphax) (pow (cos (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1/2) 1) #s(hole binary32 (+ 1 (* u0 (+ (* 1/2 (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* 1/2 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))))))))
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#s(approx (+ (* (* (/ (* alphax alphax) (pow (cos (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1/2) 1) #s(hole binary32 (+ 1 (* u0 (+ (* 1/2 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* u0 (+ (* 1/2 (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* 1/2 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))))))))))
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#s(approx (+ (* (/ -1/2 (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2))) (/ (* (* alphay alphay) u0) (- 1 u0))) 1) (fma.f32 (/.f32 (.f32 alphay alphay) (-.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1/2 binary32)))) #s(literal 1/2 binary32) #s(literal 1 binary32)))
#s(approx (+ (* (/ -1/2 (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2))) (/ (* (* alphay alphay) u0) (- 1 u0))) 1) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow alphay 2) (* u0 (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) (* 1/2 (/ (pow alphay 2) (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))))))
#s(approx (+ (* (/ -1/2 (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2))) (/ (* (* alphay alphay) u0) (- 1 u0))) 1) (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 alphay alphay (/.f32 (.f32 alphay alphay) u0)) (-.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1/2 binary32)))) #s(literal 1 binary32)))
#s(approx (+ (* (/ -1/2 (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2))) (/ (* (* alphay alphay) u0) (- 1 u0))) 1) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow alphay 2) (* u0 (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) (+ (* 1/2 (/ (pow alphay 2) (* (pow u0 2) (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) (* 1/2 (/ (pow alphay 2) (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))))))))
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#s(approx (+ (* (/ -1/2 (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2))) (/ (* (* alphay alphay) u0) (- 1 u0))) 1) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow alphay 2) (* u0 (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) (+ (* 1/2 (/ (pow alphay 2) (* (pow u0 2) (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) (+ (* 1/2 (/ (pow alphay 2) (* (pow u0 3) (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) (* 1/2 (/ (pow alphay 2) (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))))))))
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#s(approx (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)) #s(hole binary32 (+ (* -1 (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)))) (* -1/2 (- (* 2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) 2)))))
#s(approx (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)) (fma.f32 (-.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 2 binary32)) #s(literal -1/2 binary32) (/.f32 (neg.f32 (.f32 alphay alphay)) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) u0))))
#s(approx (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)) #s(hole binary32 (+ (* -1 (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)))) (+ (* -1 (/ (pow alphay 2) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)))) (* -1/2 (- (* 2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) 2))))))
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#s(approx (+ (* alphay alphay) (* (* alphay alphay) u0)) (.f32 (.f32 alphay alphay) u0))
#s(approx (+ (* alphay alphay) (* (* alphay alphay) u0)) #s(hole binary32 (* u0 (+ (/ (pow alphay 2) u0) (pow alphay 2)))))
#s(approx (+ (* alphay alphay) (* (* alphay alphay) u0)) (.f32 (fma.f32 alphay alphay (/.f32 (.f32 alphay alphay) u0)) u0))
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#s(approx (+ (* (* (/ (* alphax alphax) (pow (cos (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1/2) 1) #s(hole binary32 (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow alphax 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)))) (* -1/2 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)))) u0)) (* 1/2 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)))) u0)) (* -1/2 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)))))))
#s(approx (+ (* (* (/ (* alphax alphax) (pow (cos (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1/2) 1) (+.f32 (fma.f32 (/.f32 (.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal -1/2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (/.f32 (.f32 alphax alphax) u0) (.f32 alphax alphax)) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))) u0))) u0))) #s(literal 1 binary32)))
#s(approx (sqrt (/ 1 (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1))) #s(hole binary32 (sqrt (/ 1 (+ 1 (/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))) (- 1 u0))))))))
#s(approx (sqrt (/ 1 (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (.f32 alphax alphax)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))
#s(approx (/ 1 (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1)) #s(hole binary32 (/ 1 (+ 1 (/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))) (- 1 u0)))))))
#s(approx (/ 1 (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (.f32 alphax alphax)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))
#s(approx (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1) #s(hole binary32 (+ 1 (/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))) (- 1 u0))))))
#s(approx (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1) (+.f32 (/.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (.f32 alphax alphax)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))
#s(approx (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) #s(hole binary32 (/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))) (- 1 u0)))))
#s(approx (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) (/.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (.f32 alphax alphax)))) (-.f32 #s(literal 1 binary32) u0)))
#s(approx (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2)) #s(hole binary32 (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))
#s(approx (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2)) (-.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1/2 binary32))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay 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(hole binary32 (sqrt (/ 1 (+ 1 (/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) (- 1 u0))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (.f32 alphax alphax)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))
#s(approx (+ (* (/ -1/2 (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2))) (/ (* (* alphay alphay) u0) (- 1 u0))) 1) #s(hole binary32 (+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (- 1 u0)))))))
#s(approx (+ (* (/ -1/2 (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2))) (/ (* (* alphay alphay) u0) (- 1 u0))) 1) (fma.f32 (.f32 (/.f32 (.f32 alphay alphay) (-.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1/2 binary32)))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal -1/2 binary32) #s(literal 1 binary32)))
#s(approx (/ -1/2 (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2))) #s(hole binary32 (/ -1/2 (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))))
#s(approx (/ -1/2 (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2))) (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1/2 binary32)))))
#s(approx (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)) #s(hole binary32 (* 1/2 (/ (+ (* 2 (- 1 u0)) (* 2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)))) (- 1 u0)))))
#s(approx (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)) (.f32 (/.f32 (.f32 #s(literal 2 binary32) (+.f32 (-.f32 #s(literal 1 binary32) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1/2 binary32)))
#s(approx (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) #s(hole binary32 (+ (* 2 (- 1 u0)) (* 2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))))))
#s(approx (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (.f32 #s(literal 2 binary32) (+.f32 (-.f32 #s(literal 1 binary32) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))))))
#s(approx (sqrt (/ 1 (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))) #s(hole binary32 (* (sqrt 2) (sqrt (/ (- 1 u0) (+ (* 2 (- 1 u0)) (* 2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)))))))))
#s(approx (sqrt (/ 1 (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) (.f32 #s(literal 2 binary32) (+.f32 (-.f32 #s(literal 1 binary32) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))))))) (sqrt.f32 #s(literal 2 binary32))))
#s(approx (sin (* (+ (* 2 u1) 1/2) (PI))) #s(hole binary32 (sin (* 1/2 (PI)))))
#s(approx (sin (* (+ (* 2 u1) 1/2) (PI))) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
#s(approx (sin (* (+ (* 2 u1) 1/2) (PI))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* 2 (* u1 (* (PI) (cos (* 1/2 (PI)))))))))
#s(approx (sin (* (+ (* 2 u1) 1/2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) u1) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) #s(literal 2 binary32) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))))
#s(approx (sin (* (+ (* 2 u1) 1/2) (PI))) #s(hole binary32 (+ (sin (* 1/2 (PI))) (* u1 (+ (* -2 (* u1 (* (pow (PI) 2) (sin (* 1/2 (PI)))))) (* 2 (* (PI) (cos (* 1/2 (PI))))))))))
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#s(approx (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1) #s(hole binary32 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))
#s(approx (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1) (fma.f32 (/.f32 (.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))
#s(approx (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1) #s(hole binary32 (+ 1 (* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))))
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#s(approx (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1) #s(hole binary32 (+ 1 (* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))))
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#s(approx (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) #s(hole binary32 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
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#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (fma.f32 (/.f32 (.f32 (.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal -1/2 binary32) #s(literal 1 binary32)))
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#s(approx (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1) #s(hole binary32 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))
#s(approx (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))
#s(approx (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1) #s(hole binary32 (+ 1 (+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))))
#s(approx (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1) (+.f32 (fma.f32 (.f32 alphay alphay) (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (neg.f32 (/.f32 (.f32 (.f32 (pow.f32 alphay #s(literal 4 binary32)) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (.f32 (.f32 (.f32 alphax alphax) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) u0))))) #s(literal 1 binary32)))
#s(approx (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1) #s(hole binary32 (- (+ 1 (+ (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))))) (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))))
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#s(approx (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1) #s(hole binary32 (- (+ 1 (+ (* -1 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (- 1 u0))))) (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) (+ (* -1 (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))) (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))))))
#s(approx (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1) (-.f32 (+.f32 (fma.f32 (.f32 alphay alphay) (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (neg.f32 (/.f32 (.f32 (.f32 (pow.f32 alphay #s(literal 8 binary32)) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 6 binary32))) (.f32 (.f32 (pow.f32 alphax #s(literal 6 binary32)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 8 binary32))) (-.f32 #s(literal 1 binary32) u0))))) #s(literal 1 binary32)) (fma.f32 (/.f32 (pow.f32 alphay #s(literal 4 binary32)) (.f32 alphax alphax)) (/.f32 (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) u0) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))) (neg.f32 (/.f32 (.f32 (.f32 (pow.f32 alphay #s(literal 6 binary32)) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 4 binary32))) (.f32 (.f32 (pow.f32 alphax #s(literal 4 binary32)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) u0)))))))
#s(approx (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) #s(hole binary32 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
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#s(approx (/ 1 (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1)) (fma.f32 (.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal -1 binary32) #s(literal 1 binary32)))
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#s(approx (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1) #s(hole binary32 (+ 1 (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))))
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#s(approx (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1) #s(hole binary32 (+ 1 (* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))))
#s(approx (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1) (fma.f32 (fma.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 4 binary32))) (.f32 (.f32 (pow.f32 alphax #s(literal 4 binary32)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) u0))) (.f32 (/.f32 u0 (.f32 alphax alphax)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (.f32 alphay alphay) (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 alphay alphay) #s(literal 1 binary32)))
#s(approx (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) #s(hole binary32 (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))))
#s(approx (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) (.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (.f32 (.f32 (.f32 alphax alphax) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal -1 binary32) (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 alphay alphay)))
#s(approx (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) #s(hole binary32 (* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))))
#s(approx (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) (.f32 (fma.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 4 binary32))) (.f32 (.f32 (pow.f32 alphax #s(literal 4 binary32)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) u0))) (.f32 (/.f32 u0 (.f32 alphax alphax)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (.f32 alphay alphay) (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (.f32 alphay alphay)))
#s(approx (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) #s(hole binary32 (* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))))
#s(approx (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) (.f32 (fma.f32 (-.f32 (.f32 (.f32 #s(literal -1 binary32) (-.f32 (/.f32 (.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 6 binary32))) (.f32 (.f32 (pow.f32 alphax #s(literal 6 binary32)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 8 binary32))) (-.f32 #s(literal 1 binary32) u0))) (.f32 (/.f32 u0 (pow.f32 alphax #s(literal 4 binary32))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 4 binary32)) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) u0)))))) (.f32 alphay alphay)) (.f32 (/.f32 u0 (.f32 alphax alphax)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (.f32 alphay alphay) (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 alphay alphay)))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay 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(hole binary32 (+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (fma.f32 (.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal -1/2 binary32) #s(literal 1 binary32)))
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#s(approx (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1) #s(hole binary32 (+ 1 (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))))
#s(approx (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1) (+.f32 (fma.f32 (.f32 alphax alphax) (/.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (neg.f32 (/.f32 (.f32 (.f32 (pow.f32 alphax #s(literal 4 binary32)) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (.f32 (.f32 (.f32 alphay alphay) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) u0))))) #s(literal 1 binary32)))
#s(approx (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1) #s(hole binary32 (- (+ 1 (+ (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))))
#s(approx (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1) (-.f32 (+.f32 (fma.f32 (/.f32 (.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)) (/.f32 (.f32 (.f32 (pow.f32 alphax #s(literal 6 binary32)) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 4 binary32))) (.f32 (.f32 (pow.f32 alphay #s(literal 4 binary32)) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) u0)))) (/.f32 (.f32 (.f32 (pow.f32 alphax #s(literal 4 binary32)) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (.f32 (.f32 (.f32 alphay alphay) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) u0)))))
#s(approx (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1) #s(hole binary32 (- (+ 1 (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))))))
#s(approx (- (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1) (-.f32 (+.f32 (fma.f32 (.f32 alphax alphax) (/.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (neg.f32 (/.f32 (.f32 (.f32 (pow.f32 alphax #s(literal 8 binary32)) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 6 binary32))) (.f32 (.f32 (pow.f32 alphay #s(literal 6 binary32)) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 8 binary32))) (-.f32 #s(literal 1 binary32) u0))))) #s(literal 1 binary32)) (fma.f32 (/.f32 (pow.f32 alphax #s(literal 4 binary32)) (.f32 alphay alphay)) (/.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) u0) (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))) (neg.f32 (/.f32 (.f32 (.f32 (pow.f32 alphax #s(literal 6 binary32)) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 4 binary32))) (.f32 (.f32 (pow.f32 alphay #s(literal 4 binary32)) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) u0)))))))
#s(approx (/ (/ u0 (+ (pow (/ (cos (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) #s(hole binary32 (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))
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#s(approx (+ (* (/ -1/2 (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2))) (/ (* (* alphay alphay) u0) (- 1 u0))) 1) #s(hole binary32 (* (pow alphay 2) (+ (* -1/2 (/ u0 (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (- 1 u0)))) (/ 1 (pow alphay 2))))))
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#s(approx (sqrt (/ 1 (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))) (neg.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 6 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0) #s(literal 3 binary32))) #s(literal 1/2 binary32)) #s(literal 1/16 binary32) (.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 6 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0) #s(literal 3 binary32))) #s(literal -1/2 binary32))) (.f32 (.f32 (pow.f32 alphay #s(literal 4 binary32)) (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) (sqrt.f32 #s(literal 1/2 binary32)))))) (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 (sqrt.f32 #s(literal 2 binary32)) (pow.f32 alphay #s(literal 6 binary32))) (/.f32 (fma.f32 (.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) u0) (/.f32 (.f32 (fma.f32 (/.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 6 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0) #s(literal 3 binary32))) #s(literal 1/2 binary32)) #s(literal 1/16 binary32) (.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 6 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0) #s(literal 3 binary32))) #s(literal -1/2 binary32))) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1/2 binary32))) #s(literal 1/4 binary32) (.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 8 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 4 binary32)) (pow.f32 u0 #s(literal 4 binary32)))) #s(literal 1/2 binary32))) (.f32 (sqrt.f32 #s(literal 1/2 binary32)) (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))))))) (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (fma.f32 (.f32 (sqrt.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0) #s(literal 3 binary32))) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 3 binary32)) (/.f32 (sqrt.f32 #s(literal 2 binary32)) (.f32 (sqrt.f32 #s(literal 1/2 binary32)) (.f32 alphay alphay))))) #s(literal -1/4 binary32) (.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32))))))) alphay)))

rewrite317.0ms (1.9%)

Memory

5.4MiB live, 192.7MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	1253
0	169	1043
1	690	928
0	6404	921

Stop Event

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

Counts

28 → 583

Calls

Call 1

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

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

eval423.0ms (2.5%)

Memory: 31.0MiB live, 403.8MiB allocated; 50ms collecting garbage
Compiler: Compiled 200 475 to 10 575 computations (94.7% saved)

prune120.0ms (0.7%)

Memory

-0.0MiB live, 282.4MiB allocated; 19ms collecting garbage

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	1 370	17	1 387
Fresh	6	7	13
Picked	5	0	5
Done	0	1	1
Total	1 381	25	1 406

Accuracy

100.0%

Counts

1 406 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)) #s(literal 1 binary32)))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
	98.0%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 #s(approx (* (/ (sin (* (PI) (+ (* 2 u1) 1/2))) alphax) (/ alphay (cos (* (PI) (+ (* 2 u1) 1/2))))) (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
	98.1%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (-.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1/2 binary32))))) (-.f32 #s(literal 1 binary32) u0)))))
	46.1%	(/.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))) (fma.f32 (/.f32 (.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))
	33.9%	(/.f32 #s(literal 1 binary32) #s(approx (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) (fma.f32 (.f32 (/.f32 (.f32 alphax alphax) (fma.f32 (cos.f32 (.f32 #s(literal -2 binary32) (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax))))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1/2 binary32) #s(literal 1 binary32))))
	44.9%	(/.f32 #s(literal 1 binary32) #s(approx (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) (fma.f32 (.f32 (/.f32 (.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(approx (cos (* (+ (* 2 u1) 1/2) (PI))) (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1/2 binary32) #s(literal 1 binary32))))
	44.9%	(/.f32 #s(literal 1 binary32) #s(approx (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) #s(approx (+ (* (* (/ (* alphax alphax) (pow (cos (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1/2) 1) (fma.f32 (/.f32 (.f32 (.f32 alphax alphax) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1 binary32)))))
	44.8%	(/.f32 #s(literal 1 binary32) #s(approx (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) #s(approx (+ (* (* (/ (* alphax alphax) (pow (cos (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1/2) 1) (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 alphax alphax) u0 (.f32 alphax alphax)) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))) u0 #s(literal 1 binary32)))))
▶	99.9%	(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32)))) alphax) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) alphay) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32))))
	37.7%	#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (fma.f32 (.f32 (/.f32 (.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal -1/2 binary32) #s(literal 1 binary32)))
	96.5%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (fma.f32 (cos.f32 (fma.f32 #s(literal -2 binary32) (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax))) (PI.f32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))) (/.f32 (.f32 (.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))
	31.7%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx ( (+ (* 2 u1) 1/2) (PI)) (.f32 (.f32 (PI.f32) u1) #s(literal 2 binary32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32)))) (/.f32 (.f32 (.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))
	96.4%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx ( (+ (* 2 u1) 1/2) (PI)) (.f32 #s(literal 1/2 binary32) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32)))) (/.f32 (.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))
	96.4%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 alphay alphay) u0) #s(literal -1/2 binary32)) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 2 binary32) (.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))))
▶	98.5%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1/2 binary32)))) #s(literal 1 binary32)))))
▶	98.2%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx ( (+ (* 2 u1) 1/2) (PI)) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) #s(literal 2 binary32))) #s(literal 2 binary32) (.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))))))
	71.8%	#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(approx (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))))))
	98.3%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) u0))))))
▶	96.1%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)) (fma.f32 (/.f32 (fma.f32 (.f32 alphay alphay) u0 (.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) u0 #s(literal 1 binary32))))))
	95.7%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(approx (+ (* (/ -1/2 (pow (sin (atan (* (/ (sin (* (PI) (+ (* 2 u1) 1/2))) alphax) (/ alphay (cos (* (PI) (+ (* 2 u1) 1/2))))))) 2)) (/ (* (* alphay alphay) u0) (- 1 u0))) 1) (fma.f32 (.f32 u0 #s(literal -1/2 binary32)) (/.f32 (.f32 alphay (fma.f32 alphay u0 alphay)) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal 1 binary32))))
	96.0%	#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(approx (+ (* (/ -1/2 (pow (sin (atan (* (/ (sin (* (PI) (+ (* 2 u1) 1/2))) alphax) (/ alphay (cos (* (PI) (+ (* 2 u1) 1/2))))))) 2)) (/ (* (* alphay alphay) u0) (- 1 u0))) 1) (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 alphay alphay (.f32 (.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 #s(approx (* (+ (* 2 u1) 1/2) (PI)) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)))) u0 #s(literal 1 binary32))))
	94.8%	#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))))) #s(approx (+ (* (/ -1/2 (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2))) (/ (* (* alphay alphay) u0) (- 1 u0))) 1) (fma.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (-.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1/2 binary32)))) #s(literal -1/2 binary32) #s(literal 1 binary32))))
	96.2%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(approx (sqrt (/ 1 (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) (.f32 #s(literal 2 binary32) (+.f32 (-.f32 #s(literal 1 binary32) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))))))) (sqrt.f32 #s(literal 2 binary32)))))
▶	88.6%	#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(approx (sqrt (/ 1 (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32)))))
✓	90.3%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))

Compiler

Compiled 6 314 to 2 814 computations (55.4% saved)

simplify188.0ms (1.1%)

Memory

16.6MiB live, 255.1MiB allocated; 35ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)) (fma.f32 (/.f32 (fma.f32 (.f32 alphay alphay) u0 (.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) u0 #s(literal 1 binary32)))))
cost-diff	0	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)) (fma.f32 (/.f32 (fma.f32 (.f32 alphay alphay) u0 (.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) u0 #s(literal 1 binary32))))))
cost-diff	1	(sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
cost-diff	2	(fma.f32 (.f32 alphay alphay) u0 (.f32 alphay alphay))
cost-diff	0	(sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx ( (+ (* 2 u1) 1/2) (PI)) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) #s(literal 2 binary32))) #s(literal 2 binary32) (.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u0) #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))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx ( (+ (* 2 u1) 1/2) (PI)) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) #s(literal 2 binary32))) #s(literal 2 binary32) (.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))))))
cost-diff	2	(fma.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx ( (+ (* 2 u1) 1/2) (PI)) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) #s(literal 2 binary32))) #s(literal 2 binary32) (.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32)))
cost-diff	6	(/.f32 (fma.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx ( (+ (* 2 u1) 1/2) (PI)) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) #s(literal 2 binary32))) #s(literal 2 binary32) (.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32)))
cost-diff	0	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1/2 binary32)))) #s(literal 1 binary32)))
cost-diff	0	(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1/2 binary32)))) #s(literal 1 binary32))))
cost-diff	0	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1/2 binary32)))) #s(literal 1 binary32)))))
cost-diff	1	(-.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1/2 binary32)))
cost-diff	0	(sqrt.f32 #s(literal 2 binary32))
cost-diff	0	(*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32)))
cost-diff	0	#s(approx (sqrt (/ 1 (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 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(approx (sqrt (/ 1 (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32)))))
cost-diff	0	(/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32)))) alphax) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) alphay) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))
cost-diff	0	(-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32)))) alphax) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) alphay) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32))
cost-diff	0	(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32)))) alphax) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) alphay) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)))
cost-diff	0	(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32)))) alphax) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) alphay) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	2075
0	195	2058
1	370	1859
2	1135	1839
3	6710	1827
0	8628	1803

Stop Event

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

Calls

Call 1

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

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

localize360.0ms (2.2%)

Memory

-1.6MiB live, 676.3MiB allocated; 77ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3912887695368841	(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))
accuracy	0.4608143835114636	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)) (fma.f32 (/.f32 (fma.f32 (.f32 alphay alphay) u0 (.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) u0 #s(literal 1 binary32))))))
accuracy	1.0382991547985454	#s(approx (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)) (fma.f32 (/.f32 (fma.f32 (.f32 alphay alphay) u0 (.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) u0 #s(literal 1 binary32)))
accuracy	12.336934304453576	(cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
accuracy	0.37890625	(.f32 (/.f32 alphay alphax) (tan.f32 #s(approx ( (+ (* 2 u1) 1/2) (PI)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
accuracy	0.4608143835114636	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay 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 (fma.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx ( (+ (* 2 u1) 1/2) (PI)) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) #s(literal 2 binary32))) #s(literal 2 binary32) (.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))))))
accuracy	9.47274656785209	#s(approx (* (+ (* 2 u1) 1/2) (PI)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
accuracy	12.410964605965505	(tan.f32 #s(approx (* (+ (* 2 u1) 1/2) (PI)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
accuracy	0.3912887695368841	(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))
accuracy	0.4145677147320201	(-.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1/2 binary32)))
accuracy	0.4608143835114636	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1/2 binary32)))) #s(literal 1 binary32)))))
accuracy	12.410964605965505	(tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
accuracy	0.0	(sqrt.f32 #s(literal 1/2 binary32))
accuracy	0.4608143835114636	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(approx (sqrt (/ 1 (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32)))))
accuracy	1.0	(*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32)))
accuracy	3.158988558135978	#s(approx (sqrt (/ 1 (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32))))
accuracy	0.5201950195368841	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) alphay) #s(literal 2 binary32))
accuracy	0.5371475586106522	(pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32))
accuracy	12.410964605965505	(tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
accuracy	12.410964605965505	(tan.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))))

Samples

264.0ms

256×

valid

Compiler

Compiled 1 809 to 94 computations (94.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 231.0ms

ival-cos: 39.0ms (16.9% of total)

ival-mult: 36.0ms (15.6% of total)

ival-div: 30.0ms (13% of total)

ival-sin: 25.0ms (10.8% of total)

ival-tanu: 23.0ms (10% of total)

ival-sqrt: 12.0ms (5.2% of total)

ival-add: 12.0ms (5.2% of total)

ival-pow2: 12.0ms (5.2% of total)

ival-sinu: 10.0ms (4.3% of total)

ival-tan: 9.0ms (3.9% of total)

ival-cosu: 9.0ms (3.9% of total)

ival-atan: 7.0ms (3% of total)

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

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

exact: 1.0ms (0.4% of total)

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

adjust: 0.0ms (0% of total)

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

series721.0ms (4.3%)

Memory

-116.7MiB live, 825.0MiB allocated; 819ms collecting garbage

Counts

31 → 296

Calls

Call 1

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

Outputs
#s(approx (sqrt (/ 1 (- (/ (/ u0 (+ (pow (/ (/ 1 (sqrt (+ (pow (* (tan (* (PI) (+ (* u1 2) 1/2))) (/ alphay alphax)) 2) 1))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1))) #s(hole binary32 1))
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Calls

12 calls:

Time	Variable		Point	Expression
52.0ms	u1	@	0	((sqrt (/ 1 (- (/ (/ u0 (+ (pow (/ (/ 1 (sqrt (+ (pow (* (tan (* (PI) (+ (* u1 2) 1/2))) (/ alphay alphax)) 2) 1))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1))) (/ 1 (- (/ (/ u0 (+ (pow (/ (/ 1 (sqrt (+ (pow (* (tan (* (PI) (+ (* u1 2) 1/2))) (/ alphay alphax)) 2) 1))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1)) (- (/ (/ u0 (+ (pow (/ (/ 1 (sqrt (+ (pow (* (tan (* (PI) (+ (* u1 2) 1/2))) (/ alphay alphax)) 2) 1))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1) (/ (/ u0 (+ (pow (/ (/ 1 (sqrt (+ (pow (* (tan (* (PI) (+ (* u1 2) 1/2))) (/ alphay alphax)) 2) 1))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))) (* (sqrt 2) (sqrt 1/2)) (sqrt 2) (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2)) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (* (/ (* alphay alphay) (- 1 u0)) (/ u0 (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2)))) 1))) (/ 1 (+ (* (/ (* alphay alphay) (- 1 u0)) (/ u0 (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2)))) 1)) (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)) (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))) (+ (* (* alphay alphay) u0) (* alphay alphay)) (sin (* (+ (* 2 u1) 1/2) (PI))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))) (tan (* (PI) (+ (* u1 2) 1/2))) (tan (* (+ (* 2 u1) 1/2) (PI))) (pow (* (tan (* (PI) (+ (* u1 2) 1/2))) (/ alphay alphax)) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2) (sqrt 1/2) (* (+ (* 2 u1) 1/2) (PI)) (tan (* (+ (* 2 u1) 1/2) (PI))) (* (+ (* 2 u1) 1/2) (PI)) (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))) (cos (* (+ (* 2 u1) 1/2) (PI))) (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))
49.0ms	alphax	@	0	((sqrt (/ 1 (- (/ (/ u0 (+ (pow (/ (/ 1 (sqrt (+ (pow (* (tan (* (PI) (+ (* u1 2) 1/2))) (/ alphay alphax)) 2) 1))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1))) (/ 1 (- (/ (/ u0 (+ (pow (/ (/ 1 (sqrt (+ (pow (* (tan (* (PI) (+ (* u1 2) 1/2))) (/ alphay alphax)) 2) 1))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1)) (- (/ (/ u0 (+ (pow (/ (/ 1 (sqrt (+ (pow (* (tan (* (PI) (+ (* u1 2) 1/2))) (/ alphay alphax)) 2) 1))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1) (/ (/ u0 (+ (pow (/ (/ 1 (sqrt (+ (pow (* (tan (* (PI) (+ (* u1 2) 1/2))) (/ alphay alphax)) 2) 1))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))) (* (sqrt 2) (sqrt 1/2)) (sqrt 2) (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2)) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (* (/ (* alphay alphay) (- 1 u0)) (/ u0 (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2)))) 1))) (/ 1 (+ (* (/ (* alphay alphay) (- 1 u0)) (/ u0 (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2)))) 1)) (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)) (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))) (+ (* (* alphay alphay) u0) (* alphay alphay)) (sin (* (+ (* 2 u1) 1/2) (PI))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))) (tan (* (PI) (+ (* u1 2) 1/2))) (tan (* (+ (* 2 u1) 1/2) (PI))) (pow (* (tan (* (PI) (+ (* u1 2) 1/2))) (/ alphay alphax)) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2) (sqrt 1/2) (* (+ (* 2 u1) 1/2) (PI)) (tan (* (+ (* 2 u1) 1/2) (PI))) (* (+ (* 2 u1) 1/2) (PI)) (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))) (cos (* (+ (* 2 u1) 1/2) (PI))) (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))
33.0ms	alphay	@	inf	((sqrt (/ 1 (- (/ (/ u0 (+ (pow (/ (/ 1 (sqrt (+ (pow (* (tan (* (PI) (+ (* u1 2) 1/2))) (/ alphay alphax)) 2) 1))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1))) (/ 1 (- (/ (/ u0 (+ (pow (/ (/ 1 (sqrt (+ (pow (* (tan (* (PI) (+ (* u1 2) 1/2))) (/ alphay alphax)) 2) 1))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1)) (- (/ (/ u0 (+ (pow (/ (/ 1 (sqrt (+ (pow (* (tan (* (PI) (+ (* u1 2) 1/2))) (/ alphay alphax)) 2) 1))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1) (/ (/ u0 (+ (pow (/ (/ 1 (sqrt (+ (pow (* (tan (* (PI) (+ (* u1 2) 1/2))) (/ alphay alphax)) 2) 1))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))) (* (sqrt 2) (sqrt 1/2)) (sqrt 2) (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2)) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (* (/ (* alphay alphay) (- 1 u0)) (/ u0 (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2)))) 1))) (/ 1 (+ (* (/ (* alphay alphay) (- 1 u0)) (/ u0 (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2)))) 1)) (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)) (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))) (+ (* (* alphay alphay) u0) (* alphay alphay)) (sin (* (+ (* 2 u1) 1/2) (PI))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))) (tan (* (PI) (+ (* u1 2) 1/2))) (tan (* (+ (* 2 u1) 1/2) (PI))) (pow (* (tan (* (PI) (+ (* u1 2) 1/2))) (/ alphay alphax)) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2) (sqrt 1/2) (* (+ (* 2 u1) 1/2) (PI)) (tan (* (+ (* 2 u1) 1/2) (PI))) (* (+ (* 2 u1) 1/2) (PI)) (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))) (cos (* (+ (* 2 u1) 1/2) (PI))) (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))
26.0ms	alphay	@	-inf	((sqrt (/ 1 (- (/ (/ u0 (+ (pow (/ (/ 1 (sqrt (+ (pow (* (tan (* (PI) (+ (* u1 2) 1/2))) (/ alphay alphax)) 2) 1))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1))) (/ 1 (- (/ (/ u0 (+ (pow (/ (/ 1 (sqrt (+ (pow (* (tan (* (PI) (+ (* u1 2) 1/2))) (/ alphay alphax)) 2) 1))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1)) (- (/ (/ u0 (+ (pow (/ (/ 1 (sqrt (+ (pow (* (tan (* (PI) (+ (* u1 2) 1/2))) (/ alphay alphax)) 2) 1))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1) (/ (/ u0 (+ (pow (/ (/ 1 (sqrt (+ (pow (* (tan (* (PI) (+ (* u1 2) 1/2))) (/ alphay alphax)) 2) 1))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))) (* (sqrt 2) (sqrt 1/2)) (sqrt 2) (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2)) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (* (/ (* alphay alphay) (- 1 u0)) (/ u0 (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2)))) 1))) (/ 1 (+ (* (/ (* alphay alphay) (- 1 u0)) (/ u0 (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2)))) 1)) (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)) (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))) (+ (* (* alphay alphay) u0) (* alphay alphay)) (sin (* (+ (* 2 u1) 1/2) (PI))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))) (tan (* (PI) (+ (* u1 2) 1/2))) (tan (* (+ (* 2 u1) 1/2) (PI))) (pow (* (tan (* (PI) (+ (* u1 2) 1/2))) (/ alphay alphax)) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2) (sqrt 1/2) (* (+ (* 2 u1) 1/2) (PI)) (tan (* (+ (* 2 u1) 1/2) (PI))) (* (+ (* 2 u1) 1/2) (PI)) (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))) (cos (* (+ (* 2 u1) 1/2) (PI))) (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))
25.0ms	alphax	@	inf	((sqrt (/ 1 (- (/ (/ u0 (+ (pow (/ (/ 1 (sqrt (+ (pow (* (tan (* (PI) (+ (* u1 2) 1/2))) (/ alphay alphax)) 2) 1))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1))) (/ 1 (- (/ (/ u0 (+ (pow (/ (/ 1 (sqrt (+ (pow (* (tan (* (PI) (+ (* u1 2) 1/2))) (/ alphay alphax)) 2) 1))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1)) (- (/ (/ u0 (+ (pow (/ (/ 1 (sqrt (+ (pow (* (tan (* (PI) (+ (* u1 2) 1/2))) (/ alphay alphax)) 2) 1))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) -1) (/ (/ u0 (+ (pow (/ (/ 1 (sqrt (+ (pow (* (tan (* (PI) (+ (* u1 2) 1/2))) (/ alphay alphax)) 2) 1))) alphax) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2))) (- 1 u0)) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))) (* (sqrt 2) (sqrt 1/2)) (sqrt 2) (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2)) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (* (/ (* alphay alphay) (- 1 u0)) (/ u0 (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2)))) 1))) (/ 1 (+ (* (/ (* alphay alphay) (- 1 u0)) (/ u0 (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2)))) 1)) (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)) (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))) (+ (* (* alphay alphay) u0) (* alphay alphay)) (sin (* (+ (* 2 u1) 1/2) (PI))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))) (tan (* (PI) (+ (* u1 2) 1/2))) (tan (* (+ (* 2 u1) 1/2) (PI))) (pow (* (tan (* (PI) (+ (* u1 2) 1/2))) (/ alphay alphax)) 2) (pow (/ (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) alphay) 2) (sqrt 1/2) (* (+ (* 2 u1) 1/2) (PI)) (tan (* (+ (* 2 u1) 1/2) (PI))) (* (+ (* 2 u1) 1/2) (PI)) (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))) (cos (* (+ (* 2 u1) 1/2) (PI))) (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))

simplify674.0ms (4%)

Memory

53.5MiB live, 858.3MiB allocated; 164ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2465	102124
1	7417	99339
0	8211	93230

Stop Event

1×	iter limit
1×	node limit

Counts

296 → 296

Calls

Call 1

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

rewrite370.0ms (2.2%)

Memory

-8.2MiB live, 268.8MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	1244
0	195	1074
1	739	926
0	6572	918

Stop Event

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

Counts

31 → 499

Calls

Call 1

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

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

eval280.0ms (1.7%)

Memory: -8.5MiB live, 503.1MiB allocated; 112ms collecting garbage
Compiler: Compiled 181 319 to 8 061 computations (95.6% saved)

prune163.0ms (1%)

Memory

33.6MiB live, 366.7MiB allocated; 35ms collecting garbage

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	909	7	916
Fresh	2	17	19
Picked	4	1	5
Done	0	1	1
Total	915	26	941

Accuracy

100.0%

Counts

941 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 2 binary32)) #s(literal 1 binary32)))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
	98.1%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (-.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1/2 binary32))))) (-.f32 #s(literal 1 binary32) u0)))))
	46.1%	(/.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))) (fma.f32 (/.f32 (.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))
	33.9%	(/.f32 #s(literal 1 binary32) #s(approx (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) (fma.f32 (.f32 (/.f32 (.f32 alphax alphax) (fma.f32 (cos.f32 (.f32 #s(literal -2 binary32) (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax))))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1/2 binary32) #s(literal 1 binary32))))
	44.9%	(/.f32 #s(literal 1 binary32) #s(approx (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) (fma.f32 (.f32 (/.f32 (.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(approx (cos (* (+ (* 2 u1) 1/2) (PI))) (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1/2 binary32) #s(literal 1 binary32))))
	44.9%	(/.f32 #s(literal 1 binary32) #s(approx (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) #s(approx (+ (* (* (/ (* alphax alphax) (pow (cos (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1/2) 1) (fma.f32 (/.f32 (.f32 (.f32 alphax alphax) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1 binary32)))))
	44.8%	(/.f32 #s(literal 1 binary32) #s(approx (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) #s(approx (+ (* (* (/ (* alphax alphax) (pow (cos (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1/2) 1) (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 alphax alphax) u0 (.f32 alphax alphax)) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))) u0 #s(literal 1 binary32)))))
	99.9%	(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32)))) alphax) #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 alphay alphay)) (/.f32 (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal 1/2 binary32)) (.f32 alphay alphay))))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32))))
	37.7%	#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (fma.f32 (.f32 (/.f32 (.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal -1/2 binary32) #s(literal 1 binary32)))
	96.5%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (fma.f32 (cos.f32 (fma.f32 #s(literal -2 binary32) (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax))) (PI.f32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))) (/.f32 (.f32 (.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))
	31.7%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx ( (+ (* 2 u1) 1/2) (PI)) (.f32 (.f32 (PI.f32) u1) #s(literal 2 binary32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32)))) (/.f32 (.f32 (.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))
	96.4%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx ( (+ (* 2 u1) 1/2) (PI)) (.f32 #s(literal 1/2 binary32) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32)))) (/.f32 (.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))
	96.4%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 alphay alphay) u0) #s(literal -1/2 binary32)) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 2 binary32) (.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))))
	98.0%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx ( (+ (* 2 u1) 1/2) (PI)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32) #s(literal 1 binary32)))))
	95.8%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)) (fma.f32 (/.f32 (.f32 alphay (fma.f32 alphay u0 alphay)) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) u0 #s(literal 1 binary32))))))
	98.4%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (* (+ (* 2 u1) 1/2) (PI)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32)))) #s(literal 1 binary32)))))
	71.8%	#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(approx (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))))))
	98.2%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (* (+ (* 2 u1) 1/2) (PI)) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) u0))))))
	96.1%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)) (fma.f32 (/.f32 (.f32 alphay (fma.f32 alphay u0 alphay)) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) u0 #s(literal 1 binary32))))))
	95.7%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(approx (+ (* (/ -1/2 (pow (sin (atan (* (/ (sin (* (PI) (+ (* 2 u1) 1/2))) alphax) (/ alphay (cos (* (PI) (+ (* 2 u1) 1/2))))))) 2)) (/ (* (* alphay alphay) u0) (- 1 u0))) 1) (fma.f32 (.f32 u0 #s(literal -1/2 binary32)) (/.f32 (.f32 alphay (fma.f32 alphay u0 alphay)) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal 1 binary32))))
	96.0%	#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(approx (+ (* (/ -1/2 (pow (sin (atan (* (/ (sin (* (PI) (+ (* 2 u1) 1/2))) alphax) (/ alphay (cos (* (PI) (+ (* 2 u1) 1/2))))))) 2)) (/ (* (* alphay alphay) u0) (- 1 u0))) 1) (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 alphay alphay (.f32 (.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 #s(approx (* (+ (* 2 u1) 1/2) (PI)) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)))) u0 #s(literal 1 binary32))))
	94.8%	#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))))) #s(approx (+ (* (/ -1/2 (- 1/2 (* (cos (* (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI))))) 2)) 1/2))) (/ (* (* alphay alphay) u0) (- 1 u0))) 1) (fma.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (-.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1/2 binary32)))) #s(literal -1/2 binary32) #s(literal 1 binary32))))
	87.5%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(approx (sqrt (/ 1 (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))) (.f32 (.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)) (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32))) (sqrt.f32 #s(literal 1/2 binary32)))))
	96.2%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(approx (sqrt (/ 1 (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) (.f32 #s(literal 2 binary32) (+.f32 (-.f32 #s(literal 1 binary32) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))))))) (sqrt.f32 #s(literal 2 binary32)))))
✓	88.6%	#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(approx (sqrt (/ 1 (/ (+ (* (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (tan (* (+ (* 2 u1) 1/2) (PI)))))) 2)) 2) (* (- 1 u0) 2)) (* (- 1 u0) 2)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal 1/2 binary32)))))
✓	90.3%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))

Compiler

Compiled 10 007 to 2 041 computations (79.6% saved)

regimes248.0ms (1.5%)

Memory

5.8MiB live, 471.0MiB allocated; 138ms collecting garbage

Counts

53 → 1

Calls

Call 1

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

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

Calls

13 calls:

65.0ms	(/.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)))))
16.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)
15.0ms	u1
15.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
15.0ms	(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
99.9%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`
99.9%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
99.9%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
99.9%	1	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
99.9%	1	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
99.9%	1	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
99.9%	1	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
99.9%	1	(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
99.9%	1	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
99.9%	1	`u0`
99.9%	1	`u1`
99.9%	1	`alphax`
99.9%	1	`alphay`

Compiler

Compiled 522 to 219 computations (58% saved)

regimes269.0ms (1.6%)

Memory

7.4MiB live, 462.9MiB allocated; 155ms collecting garbage

Counts

46 → 1

Calls

Call 1

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

Outputs

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

Calls

13 calls:

31.0ms	(+.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)))
25.0ms	alphay
23.0ms	(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
20.0ms	u0
18.0ms	u1

Results

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

Compiler

Compiled 522 to 219 computations (58% saved)

regimes225.0ms (1.4%)

Memory

64.1MiB live, 279.8MiB allocated; 89ms collecting garbage

Counts

45 → 1

Calls

Call 1

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

Outputs

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

Calls

13 calls:

46.0ms	(/.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)))))
40.0ms	(/.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))
22.0ms	alphay
20.0ms	u1
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
98.5%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`
98.5%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
98.5%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
98.5%	1	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
98.5%	1	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
98.5%	1	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
98.5%	1	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
98.5%	1	(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
98.5%	1	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
98.5%	1	`u0`
98.5%	1	`u1`
98.5%	1	`alphax`
98.5%	1	`alphay`

Compiler

Compiled 522 to 219 computations (58% saved)

regimes45.0ms (0.3%)

Memory

-20.2MiB live, 71.0MiB allocated; 7ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

Outputs

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

Calls

13 calls:

5.0ms	alphay
5.0ms	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
3.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay 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	u1

Results

Accuracy	Segments	Branch
98.4%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`
98.4%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
98.4%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
98.4%	1	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
98.4%	1	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
98.4%	1	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
98.4%	1	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
98.4%	1	(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
98.4%	1	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
98.4%	1	`u0`
98.4%	1	`u1`
98.4%	1	`alphax`
98.4%	1	`alphay`

Compiler

Compiled 522 to 219 computations (58% saved)

regimes47.0ms (0.3%)

Memory

18.5MiB live, 67.1MiB allocated; 13ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

Outputs

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

Calls

13 calls:

12.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
3.0ms	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
3.0ms	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
3.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)
3.0ms	alphay

Results

Accuracy	Segments	Branch
96.5%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`
96.5%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
96.5%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
96.5%	1	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
96.5%	1	`u1`
96.5%	1	`alphax`
96.5%	1	`alphay`
96.5%	1	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
96.5%	1	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
96.5%	1	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
96.5%	1	(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
96.5%	1	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
96.5%	1	`u0`

Compiler

Compiled 522 to 219 computations (58% saved)

regimes31.0ms (0.2%)

Memory

9.3MiB live, 55.0MiB allocated; 3ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

Calls

13 calls:

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

Results

Accuracy	Segments	Branch
96.4%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`
96.4%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
96.4%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
96.4%	1	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
96.4%	1	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
96.4%	1	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
96.4%	1	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
96.4%	1	(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
96.4%	1	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
96.4%	1	`u0`
96.4%	1	`u1`
96.4%	1	`alphax`
96.4%	1	`alphay`

Compiler

Compiled 522 to 219 computations (58% saved)

regimes25.0ms (0.2%)

Memory

0.6MiB live, 46.5MiB allocated; 3ms collecting garbage

Accuracy

Total -6.4b remaining (-206.3%)

Threshold costs -6.4b (-206.3%)

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

Calls

13 calls:

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)))))
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 (.f32 #s(literal 2 binary32) (PI.f32)) u1)

Results

Accuracy	Segments	Branch
90.3%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`
90.3%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
90.3%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
90.3%	1	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
90.3%	1	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
90.3%	1	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
90.3%	1	(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
90.3%	1	`u0`
90.3%	1	`u1`
90.3%	1	`alphax`
90.3%	1	`alphay`
90.3%	1	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
90.3%	1	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))

Compiler

Compiled 522 to 219 computations (58% saved)

simplify58.0ms (0.3%)

Memory

-25.9MiB live, 66.2MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	698
1	197	648
2	469	648
3	1452	603
4	6191	603

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations382.0ms (2.3%)

Memory

5.4MiB live, 276.1MiB allocated; 124ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 698 to 120 computations (82.8% saved)

preprocess46.0ms (0.3%)

Memory: 32.0MiB live, 77.2MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 572 to 304 computations (80.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.5s (9.1%)

sample4.6s (27.7%)

explain559.0ms (3.4%)

preprocess165.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify120.0ms (0.7%)

localize129.0ms (0.8%)

series173.0ms (1%)

simplify196.0ms (1.2%)

rewrite165.0ms (1%)

eval111.0ms (0.7%)

prune26.0ms (0.2%)

simplify134.0ms (0.8%)

localize399.0ms (2.4%)

series389.0ms (2.3%)

simplify369.0ms (2.2%)

rewrite181.0ms (1.1%)

eval323.0ms (1.9%)

prune108.0ms (0.6%)

simplify153.0ms (0.9%)

localize492.0ms (3%)

series1.0s (6.1%)

simplify328.0ms (2%)

rewrite317.0ms (1.9%)

eval423.0ms (2.5%)

prune120.0ms (0.7%)

simplify188.0ms (1.1%)

localize360.0ms (2.2%)

series721.0ms (4.3%)

simplify674.0ms (4%)

rewrite370.0ms (2.2%)

eval280.0ms (1.7%)

prune163.0ms (1%)

regimes248.0ms (1.5%)

regimes269.0ms (1.6%)

regimes225.0ms (1.4%)

regimes45.0ms (0.3%)

regimes47.0ms (0.3%)

regimes31.0ms (0.2%)

regimes25.0ms (0.2%)

simplify58.0ms (0.3%)

derivations382.0ms (2.3%)

preprocess46.0ms (0.3%)

end0.0ms (0%)

Profiling