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

analyze1.2s (8%)

Memory

18.3MiB live, 2 189.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 120 to 50 computations (58.3% saved)

sample3.9s (26.8%)

Memory

-20.5MiB live, 5 619.6MiB allocated

Samples

3.1s

8 256×

valid

Precisions

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

ival-div: 596.0ms (21.1% of total)

ival-mult: 488.0ms (17.3% of total)

ival-tan: 311.0ms (11% of total)

ival-sin: 289.0ms (10.2% of total)

ival-cos: 281.0ms (9.9% of total)

const: 252.0ms (8.9% of total)

ival-<=: 174.0ms (6.2% of total)

ival-add: 149.0ms (5.3% of total)

ival-atan: 100.0ms (3.5% of total)

ival-sqrt: 55.0ms (1.9% of total)

ival-sub: 41.0ms (1.5% of total)

ival-and: 41.0ms (1.5% of total)

ival-pi: 34.0ms (1.2% of total)

exact: 13.0ms (0.5% of total)

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

Bogosity

preprocess407.0ms (2.8%)

Memory

22.1MiB live, 310.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Inputs

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

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

Outputs

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

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

explain758.0ms (5.2%)

Memory

-15.8MiB live, 696.2MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	2	0
-	206	48

Precision

0.009615384615384616

Recall

1.0

Confusion?

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

Precision?

0.00909090909090909

Recall?

1.0

Freqs

test

number	freq
0	48
1	44
2	164

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

166.0ms

512×

valid

Compiler

Compiled 1 836 to 132 computations (92.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 137.0ms

ival-div: 30.0ms (21.9% of total)

ival-cos: 27.0ms (19.7% of total)

ival-mult: 25.0ms (18.2% of total)

ival-tan: 18.0ms (13.1% of total)

ival-sin: 15.0ms (10.9% of total)

ival-add: 7.0ms (5.1% of total)

ival-atan: 6.0ms (4.4% of total)

ival-sub: 3.0ms (2.2% of total)

ival-sqrt: 3.0ms (2.2% of total)

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

ival-true: 1.0ms (0.7% of total)

exact: 1.0ms (0.7% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))

Status

Accuracy

Program

▶

99.2%

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

Compiler

Compiled 92 to 32 computations (65.2% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize212.0ms (1.4%)

Memory

-13.4MiB live, 226.5MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

127.0ms

256×

valid

Compiler

Compiled 826 to 34 computations (95.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-div: 36.0ms (41.7% of total)

ival-tan: 13.0ms (15.1% of total)

ival-mult: 12.0ms (13.9% of total)

ival-cos: 8.0ms (9.3% of total)

ival-sin: 7.0ms (8.1% of total)

ival-add: 3.0ms (3.5% of total)

ival-atan: 3.0ms (3.5% of total)

ival-sqrt: 2.0ms (2.3% of total)

ival-pi: 1.0ms (1.2% of total)

ival-sub: 1.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.1%)

Memory

4.0MiB live, 42.7MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	0	(* (* 2 (PI)) u1)
2.0ms	u1	@	0	(tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))
1.0ms	alphax	@	inf	(cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))
1.0ms	alphay	@	0	(cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))
1.0ms	alphay	@	inf	(cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))

rewrite268.0ms (1.8%)

Memory

32.6MiB live, 626.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 866×	`lower-fma.f64`
5 866×	`lower-fma.f32`
5 552×	`lower-*.f64`
5 542×	`lower-*.f32`
2 158×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	64
0	27	49
1	95	49
2	665	35
0	8662	32

Stop Event

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

Counts

4 → 95

Calls

Call 1

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

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

simplify976.0ms (6.7%)

Memory

-21.9MiB live, 1 323.0MiB allocated

Algorithm

1×	egg-herbie

Rules

16 340×	`lower-fma.f64`
16 340×	`lower-fma.f32`
8 034×	`lower-*.f64`
8 034×	`lower-*.f32`
2 990×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	1732
1	162	1542
2	513	1534
3	2635	1506
0	9099	1404

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval121.0ms (0.8%)

Memory: -16.7MiB live, 180.8MiB allocated
Compiler: Compiled 38 717 to 2 629 computations (93.2% saved)

prune123.0ms (0.8%)

Memory

-5.7MiB live, 116.2MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	432	2	434
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	433	2	435

Accuracy

99.3%

Counts

435 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	-0.0%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fma.f32 (cos.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
▶	99.3%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(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

▶

-0.0%

(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fma.f32 (cos.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))

▶

99.3%

(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(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 142 to 71 computations (50% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize232.0ms (1.6%)

Memory

16.2MiB live, 732.8MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(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)))))))
✓	accuracy	100.0%	(cos.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
✓	accuracy	100.0%	(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))))))
✓	accuracy	6.3%	(PI.f32)
✓	accuracy	100.0%	(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
✓	accuracy	100.0%	(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)))))))
✓	accuracy	100.0%	(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))))))
✓	accuracy	6.3%	(PI.f32)

Samples

105.0ms

256×

invalid

Compiler

Compiled 1 328 to 53 computations (96% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-div: 18.0ms (22.5% of total)

ival-mult: 18.0ms (22.5% of total)

ival-tan: 16.0ms (20% of total)

ival-add: 9.0ms (11.3% of total)

ival-sin: 8.0ms (10% of total)

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

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

ival-pow2: 2.0ms (2.5% of total)

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

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

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

exact: 1.0ms (1.3% of total)

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

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

series103.0ms (0.7%)

Memory

-16.5MiB live, 261.3MiB allocated

Counts

5 → 120

Calls

Call 1

Inputs
#<alt (PI.f32)>
#<alt (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))>
#<alt (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))>
#<alt (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))>
#<alt (cos.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))>

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

Calls

30 calls:

Time	Variable		Point	Expression
16.0ms	u1	@	-inf	(sqrt (+ 1 (/ (* (/ 1 (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))
14.0ms	u1	@	0	(sqrt (+ 1 (/ (* (/ 1 (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))
13.0ms	alphay	@	inf	(sqrt (+ 1 (/ (* (/ 1 (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))
9.0ms	u1	@	inf	(sqrt (+ 1 (/ (* (/ 1 (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))
8.0ms	alphax	@	0	(sqrt (+ 1 (/ (* (/ 1 (+ (/ (/ 1 (+ 1 (pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))

rewrite16.0ms (0.1%)

Memory

1.3MiB live, 41.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

22×	`lower-*.f64`
20×	`lift-*.f32`
14×	`lift-/.f32`
14×	`lower-/.f64`
10×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	106
0	71	102

Stop Event

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

Counts

5 → 5

Calls

Call 1

Inputs
(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))))))
(sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(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 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))

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

simplify423.0ms (2.9%)

Memory

34.4MiB live, 874.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 348×	`lower-*.f64`
10 348×	`lower-*.f32`
7 650×	`lower-fma.f64`
7 650×	`lower-fma.f32`
2 724×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	588	18627
1	2049	17631
0	8378	16607

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

eval43.0ms (0.3%)

Memory: -13.9MiB live, 144.4MiB allocated
Compiler: Compiled 35 567 to 654 computations (98.2% saved)

prune16.0ms (0.1%)

Memory

6.2MiB live, 45.7MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	348	7	355
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	350	7	357

Accuracy

99.3%

Counts

357 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.5%	(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))
	94.7%	(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 alphax alphax) (fma.f32 (.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (.f32 (.f32 alphax alphax) (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))))) #s(literal 1 binary32)))
▶	97.2%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (.f32 alphay alphay) (/.f32 u0 (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
▶	99.3%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
	99.3%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 alphax alphax) (fma.f32 (.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (.f32 (.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32))))))))))
▶	98.6%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (.f32 alphay alphay))))))))
▶	90.7%	(/.f32 #s(literal 1 binary32) #s(literal 1 binary32))

Compiler

Compiled 678 to 382 computations (43.7% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize363.0ms (2.5%)

Memory

6.3MiB live, 803.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.8%	(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
✓	accuracy	98.3%	(pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))
✓	accuracy	62.8%	(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
✓	accuracy	62.3%	(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
✓	accuracy	99.2%	(.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
✓	accuracy	99.0%	(/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)
✓	accuracy	98.8%	(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
✓	accuracy	62.3%	(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
✓	accuracy	99.1%	(.f32 (.f32 alphay alphay) u0)
✓	accuracy	99.0%	(/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)
✓	accuracy	98.8%	(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
✓	accuracy	62.3%	(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
✓	accuracy	100.0%	(/.f32 #s(literal 1 binary32) #s(literal 1 binary32))
✓	accuracy	98.8%	(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
✓	accuracy	98.5%	(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32))
✓	accuracy	62.3%	(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
✓	accuracy	62.3%	(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))

Samples

162.0ms

256×

valid

Compiler

Compiled 1 721 to 70 computations (95.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 131.0ms

ival-mult: 27.0ms (20.7% of total)

ival-div: 26.0ms (19.9% of total)

ival-sin: 23.0ms (17.6% of total)

ival-tan: 16.0ms (12.2% of total)

ival-add: 10.0ms (7.7% of total)

ival-pow2: 9.0ms (6.9% of total)

ival-cos: 7.0ms (5.4% of total)

ival-atan: 5.0ms (3.8% of total)

ival-sqrt: 5.0ms (3.8% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series28.0ms (0.2%)

Memory

4.3MiB live, 42.3MiB allocated

Counts

10 → 180

Calls

Call 1

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

Outputs
#<alt (/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI))))>
#<alt (+ (* u1 (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI)))))>
#<alt (+ (* u1 (- (+ (* 2 (PI)) (* 2 (/ (* u1 (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (cos (* 1/2 (PI)))))) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI)))))>
#<alt (+ (* u1 (- (+ (* 2 (PI)) (* u1 (- (* u1 (- (* -4/3 (pow (PI) 3)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* 4/3 (/ (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* -2 (/ (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (cos (* 1/2 (PI)))))))) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI)))))>
#<alt (/ (sin (* (PI) (+ 1/2 (* 2 u1)))) (cos (* (PI) (+ 1/2 (* 2 u1)))))>
#<alt (/ (sin (* (PI) (+ 1/2 (* 2 u1)))) (cos (* (PI) (+ 1/2 (* 2 u1)))))>
#<alt (/ (sin (* (PI) (+ 1/2 (* 2 u1)))) (cos (* (PI) (+ 1/2 (* 2 u1)))))>
#<alt (/ (sin (* (PI) (+ 1/2 (* 2 u1)))) (cos (* (PI) (+ 1/2 (* 2 u1)))))>
#<alt (/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1)))))>
#<alt (/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1)))))>
#<alt (/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1)))))>
#<alt (/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1)))))>
#<alt (/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI))))>
#<alt (+ (* u1 (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI)))))>
#<alt (+ (* u1 (- (+ (* 2 (PI)) (* 2 (/ (* u1 (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (cos (* 1/2 (PI)))))) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI)))))>
#<alt (+ (* u1 (- (+ (* 2 (PI)) (* u1 (- (* u1 (- (* -4/3 (pow (PI) 3)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* 4/3 (/ (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* -2 (/ (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (cos (* 1/2 (PI)))))))) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI)))))>
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#<alt (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (cos (* (PI) (- 1/2 (* -2 u1)))))>
#<alt (cos (* 1/2 (PI)))>
#<alt (+ (cos (* 1/2 (PI))) (* -2 (* u1 (* (PI) (sin (* 1/2 (PI)))))))>
#<alt (+ (cos (* 1/2 (PI))) (* u1 (- (* -2 (* u1 (* (pow (PI) 2) (cos (* 1/2 (PI)))))) (* 2 (* (PI) (sin (* 1/2 (PI))))))))>
#<alt (+ (cos (* 1/2 (PI))) (* u1 (- (* u1 (+ (* -2 (* (pow (PI) 2) (cos (* 1/2 (PI))))) (* 4/3 (* u1 (* (pow (PI) 3) (sin (* 1/2 (PI)))))))) (* 2 (* (PI) (sin (* 1/2 (PI))))))))>
#<alt (cos (* (PI) (+ 1/2 (* 2 u1))))>
#<alt (cos (* (PI) (+ 1/2 (* 2 u1))))>
#<alt (cos (* (PI) (+ 1/2 (* 2 u1))))>
#<alt (cos (* (PI) (+ 1/2 (* 2 u1))))>
#<alt (cos (* (PI) (- 1/2 (* -2 u1))))>
#<alt (cos (* (PI) (- 1/2 (* -2 u1))))>
#<alt (cos (* (PI) (- 1/2 (* -2 u1))))>
#<alt (cos (* (PI) (- 1/2 (* -2 u1))))>
#<alt (pow (cos (* 1/2 (PI))) 2)>
#<alt (+ (* -4 (* u1 (* (PI) (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI))))))) (pow (cos (* 1/2 (PI))) 2))>
#<alt (+ (* u1 (+ (* -4 (* (PI) (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI)))))) (* u1 (+ (* -4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2))))))) (pow (cos (* 1/2 (PI))) 2))>
#<alt (+ (* u1 (+ (* -4 (* (PI) (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI)))))) (* u1 (+ (* -4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))) (+ (* 4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2))) (* u1 (+ (* 8/3 (* (pow (PI) 3) (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI)))))) (* 8 (* (pow (PI) 3) (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI))))))))))))) (pow (cos (* 1/2 (PI))) 2))>
#<alt (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)>
#<alt (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)>
#<alt (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)>
#<alt (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)>
#<alt (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)>
#<alt (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)>
#<alt (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)>
#<alt (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)>

Calls

45 calls:

Time	Variable		Expression
5.0ms	alphax	@	(pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)
4.0ms	u1	@	(cos (* (PI) (+ (* 2 u1) 1/2)))
3.0ms	alphay	@	(pow (* (/ alphay alphax) (tan (* (PI) (+ (* 2 u1) 1/2)))) 2)
1.0ms	u1	@	(/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)
1.0ms	alphay	@	(/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax)

rewrite337.0ms (2.3%)

Memory

13.8MiB live, 643.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 078×	`lower-fma.f64`
9 076×	`lower-fma.f32`
7 174×	`lower-*.f64`
7 158×	`lower-*.f32`
2 446×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	78
0	46	75
1	150	75
2	944	75
0	8614	75

Stop Event

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

Counts

10 → 522

Calls

Call 1

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

Outputs
(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(neg.f32 (neg.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(exp.f32 (.f32 (log.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)))
(pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)))
(/.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 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(/.f32 (neg.f32 (+.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))
(/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (neg.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))))
(/.f32 (neg.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) (neg.f32 (neg.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(/.f32 (.f32 #s(literal 1 binary32) (+.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))))) (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))))))
(/.f32 (.f32 (+.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))))))
(/.f32 (.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))))) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))))))
(/.f32 (.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (tan.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)))) (/.f32 #s(literal 1 binary32) (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)))) (.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)))
(.f32 (+.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))))))
(.f32 (+.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 1 binary32)))
(.f32 (neg.f32 (+.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))))))))
(.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(.f32 (pow.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 1/2 binary32)) (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)))
(.f32 (pow.f32 (+.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 1 binary32)))
(.f32 (.f32 #s(literal 1 binary32) (+.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))
(tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(neg.f32 (neg.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(exp.f32 (.f32 (log.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)))
(pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)))
(/.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 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(/.f32 (neg.f32 (+.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))
(/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (neg.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))))
(/.f32 (neg.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) (neg.f32 (neg.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(/.f32 (.f32 #s(literal 1 binary32) (+.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))))) (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))))))
(/.f32 (.f32 (+.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))))))
(/.f32 (.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))))) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))))))
(/.f32 (.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (tan.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)))) (/.f32 #s(literal 1 binary32) (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)))) (.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)))
(.f32 (+.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))))))
(.f32 (+.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 1 binary32)))
(.f32 (neg.f32 (+.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))))))))
(.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (/.f32 #s(literal 1 binary32) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(.f32 (pow.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 1/2 binary32)) (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)))
(.f32 (pow.f32 (+.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 1 binary32)))
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(/.f32 (-.f32 (pow.f32 (.f32 (cos.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 3 binary32)) (pow.f32 (.f32 (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 3 binary32))) (fma.f32 (.f32 (cos.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1)))) (.f32 (cos.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1)))) (fma.f32 (.f32 (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1)))) (.f32 (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1)))) (.f32 (.f32 (cos.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1)))) (.f32 (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (sin.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1))))))))
(/.f32 (-.f32 (.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (cos.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (cos.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))))) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))))) (fma.f32 (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (cos.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
(/.f32 (-.f32 (.f32 (.f32 (cos.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1)))) (.f32 (cos.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))))) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1)))) (.f32 (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1)))))) (fma.f32 (cos.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))) (.f32 (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (sin.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1))))))
(.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(.f32 (pow.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 1 binary32)))
(exp.f32 (.f32 #s(literal 2 binary32) (log.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(exp.f32 (.f32 (log.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (+.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 2 binary32) (log.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) #s(literal 1 binary32)))
(exp.f32 (+.f32 (log.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (log.f32 (cos.f32 (.f32 (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 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (+.f32 (PI.f32) (PI.f32))))))
(pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))
(pow.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (+.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (+.f32 (PI.f32) (PI.f32)))) (cos.f32 #s(literal 0 binary32)))))
(/.f32 (+.f32 (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (+.f32 (PI.f32) (PI.f32)))) (cos.f32 #s(literal 0 binary32))) #s(literal 2 binary32))
(/.f32 (neg.f32 (+.f32 (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (+.f32 (PI.f32) (PI.f32)))) (cos.f32 #s(literal 0 binary32)))) #s(literal -2 binary32))
(/.f32 (+.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (+.f32 (PI.f32) (PI.f32))))) #s(literal 3 binary32))) (+.f32 #s(literal 1/4 binary32) (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (+.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (+.f32 (PI.f32) (PI.f32)))))) (.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (+.f32 (PI.f32) (PI.f32)))))))))
(/.f32 (-.f32 #s(literal 1/4 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (+.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (+.f32 (PI.f32) (PI.f32))))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (+.f32 (PI.f32) (PI.f32)))))))
(.f32 (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 (+.f32 (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (+.f32 (PI.f32) (PI.f32)))) (cos.f32 #s(literal 0 binary32))) #s(literal 1/2 binary32))
(.f32 (sqrt.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (.f32 (sqrt.f32 (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 (.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (sqrt.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))

simplify419.0ms (2.9%)

Memory

-12.6MiB live, 786.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 662×	`lower-fma.f64`
8 662×	`lower-fma.f32`
7 676×	`lower-*.f64`
7 676×	`lower-*.f32`
2 876×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	236	4554
1	734	4468
2	2618	4390
3	7490	4390
0	8045	4076

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

Outputs
(/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI))))
(/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))))
(+ (* u1 (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI)))))
(fma.f32 u1 (.f32 #s(literal 2 binary32) (fma.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (PI.f32))) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
(+ (* u1 (- (+ (* 2 (PI)) (* 2 (/ (* u1 (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (cos (* 1/2 (PI)))))) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI)))))
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(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
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(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphax))
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(/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI)))))
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(+ (/ (* 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))
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(+ (* u1 (+ (* 2 (/ (* alphay (* u1 (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) (* alphax (cos (* 1/2 (PI)))))) (/ (* alphay (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) alphax))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))))
(fma.f32 u1 (/.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 u1 alphay)) (.f32 (PI.f32) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (.f32 #s(literal 2 binary32) (fma.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (PI.f32)))))) (.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) alphax)) (.f32 (/.f32 alphay alphax) (fma.f32 u1 (.f32 #s(literal 2 binary32) (fma.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (PI.f32))) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
(+ (* u1 (+ (* u1 (+ (* 2 (/ (* alphay (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* alphax (cos (* 1/2 (PI)))))) (/ (* alphay (* u1 (- (* -4/3 (pow (PI) 3)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* 4/3 (/ (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) alphax))) (/ (* alphay (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) alphax))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))))
(fma.f32 (.f32 alphay (fma.f32 (/.f32 (.f32 (PI.f32) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (.f32 #s(literal 2 binary32) (fma.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (PI.f32))))) (.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) alphax)) #s(literal 2 binary32) (.f32 (fma.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)) (neg.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (fma.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (PI.f32)))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) #s(literal -4 binary32) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (PI.f32))) #s(literal -2 binary32))) (/.f32 (.f32 (.f32 #s(literal 4/3 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))) (/.f32 u1 alphax)))) (.f32 u1 u1) (.f32 (/.f32 alphay alphax) (fma.f32 u1 (.f32 #s(literal 2 binary32) (fma.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (PI.f32))) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphax))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphax))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphax))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphax))
(/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphax))
(/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphax))
(/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphax))
(/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphax))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphax))
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(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphax))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphax))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphax))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphax))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphax))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphax))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphax))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphax))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphax))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphax))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphax))
(* (pow alphay 2) u0)
(.f32 alphay (.f32 alphay u0))
(* (pow alphay 2) u0)
(.f32 alphay (.f32 alphay u0))
(* (pow alphay 2) u0)
(.f32 alphay (.f32 alphay u0))
(* (pow alphay 2) u0)
(.f32 alphay (.f32 alphay u0))
(* (pow alphay 2) u0)
(.f32 alphay (.f32 alphay u0))
(* (pow alphay 2) u0)
(.f32 alphay (.f32 alphay u0))
(* (pow alphay 2) u0)
(.f32 alphay (.f32 alphay u0))
(* (pow alphay 2) u0)
(.f32 alphay (.f32 alphay u0))
(* (pow alphay 2) u0)
(.f32 alphay (.f32 alphay u0))
(* (pow alphay 2) u0)
(.f32 alphay (.f32 alphay u0))
(* (pow alphay 2) u0)
(.f32 alphay (.f32 alphay u0))
(* (pow alphay 2) u0)
(.f32 alphay (.f32 alphay u0))
(* (pow alphay 2) u0)
(.f32 alphay (.f32 alphay u0))
(* (pow alphay 2) u0)
(.f32 alphay (.f32 alphay u0))
(* (pow alphay 2) u0)
(.f32 alphay (.f32 alphay u0))
(* (pow alphay 2) u0)
(.f32 alphay (.f32 alphay u0))
(* (pow alphay 2) u0)
(.f32 alphay (.f32 alphay u0))
(* (pow alphay 2) u0)
(.f32 alphay (.f32 alphay u0))
(* (pow alphay 2) u0)
(.f32 alphay (.f32 alphay u0))
(* (pow alphay 2) u0)
(.f32 alphay (.f32 alphay u0))
(* (pow alphay 2) u0)
(.f32 alphay (.f32 alphay u0))
(* (pow alphay 2) u0)
(.f32 alphay (.f32 alphay u0))
(* (pow alphay 2) u0)
(.f32 alphay (.f32 alphay u0))
(* (pow alphay 2) u0)
(.f32 alphay (.f32 alphay u0))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))))
(/ (* alphay (sin (* 1/2 (PI)))) (cos (* 1/2 (PI))))
(/.f32 (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) alphay) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(+ (* alphay (* u1 (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (/ (* alphay (sin (* 1/2 (PI)))) (cos (* 1/2 (PI)))))
(.f32 alphay (fma.f32 u1 (.f32 #s(literal 2 binary32) (fma.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (PI.f32))) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))))))
(+ (* u1 (+ (* 2 (/ (* alphay (* u1 (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) (cos (* 1/2 (PI))))) (* alphay (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (/ (* alphay (sin (* 1/2 (PI)))) (cos (* 1/2 (PI)))))
(fma.f32 u1 (.f32 alphay (.f32 #s(literal 2 binary32) (fma.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (fma.f32 (PI.f32) (/.f32 (.f32 u1 (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (.f32 #s(literal 2 binary32) (fma.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (PI.f32))))) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (PI.f32))))) (/.f32 (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) alphay) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))))
(+ (* u1 (+ (* alphay (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* u1 (+ (* 2 (/ (* alphay (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (cos (* 1/2 (PI))))) (* 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)))))))))))) (/ (* alphay (sin (* 1/2 (PI)))) (cos (* 1/2 (PI)))))
(fma.f32 u1 (fma.f32 alphay (.f32 #s(literal 2 binary32) (fma.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (fma.f32 (PI.f32) (/.f32 (.f32 u1 (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (.f32 #s(literal 2 binary32) (fma.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (PI.f32))))) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (PI.f32)))) (.f32 (.f32 u1 (.f32 u1 alphay)) (fma.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)) (neg.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (fma.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (PI.f32)))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) #s(literal -4 binary32) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (PI.f32))) #s(literal -2 binary32))) (/.f32 (.f32 (.f32 #s(literal 4/3 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))))) (/.f32 (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) alphay) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))))
(/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (cos (* (PI) (- 1/2 (* -2 u1)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))))
(/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (cos (* (PI) (- 1/2 (* -2 u1)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))))
(/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (cos (* (PI) (- 1/2 (* -2 u1)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))))
(/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (cos (* (PI) (- 1/2 (* -2 u1)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) alphay) (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))))
(cos (* 1/2 (PI)))
(cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(+ (cos (* 1/2 (PI))) (* -2 (* u1 (* (PI) (sin (* 1/2 (PI)))))))
(fma.f32 u1 (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (.f32 (PI.f32) #s(literal -2 binary32))) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))))
(+ (cos (* 1/2 (PI))) (* u1 (- (* -2 (* u1 (* (pow (PI) 2) (cos (* 1/2 (PI)))))) (* 2 (* (PI) (sin (* 1/2 (PI))))))))
(fma.f32 u1 (.f32 #s(literal -2 binary32) (fma.f32 (PI.f32) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (.f32 u1 (.f32 (PI.f32) (PI.f32)))))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(+ (cos (* 1/2 (PI))) (* u1 (- (* u1 (+ (* -2 (* (pow (PI) 2) (cos (* 1/2 (PI))))) (* 4/3 (* u1 (* (pow (PI) 3) (sin (* 1/2 (PI)))))))) (* 2 (* (PI) (sin (* 1/2 (PI))))))))
(fma.f32 u1 (fma.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (.f32 (PI.f32) #s(literal -2 binary32)) (.f32 u1 (fma.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 #s(literal 4/3 binary32) (.f32 u1 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(cos (* (PI) (+ 1/2 (* 2 u1))))
(cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))))
(cos (* (PI) (+ 1/2 (* 2 u1))))
(cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))))
(cos (* (PI) (+ 1/2 (* 2 u1))))
(cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))))
(cos (* (PI) (+ 1/2 (* 2 u1))))
(cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))))
(cos (* (PI) (- 1/2 (* -2 u1))))
(cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))))
(cos (* (PI) (- 1/2 (* -2 u1))))
(cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))))
(cos (* (PI) (- 1/2 (* -2 u1))))
(cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))))
(cos (* (PI) (- 1/2 (* -2 u1))))
(cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))))
(pow (cos (* 1/2 (PI))) 2)
(pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))
(+ (* -4 (* u1 (* (PI) (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI))))))) (pow (cos (* 1/2 (PI))) 2))
(fma.f32 u1 (.f32 (.f32 (.f32 (PI.f32) #s(literal -4 binary32)) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))
(+ (* u1 (+ (* -4 (* (PI) (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI)))))) (* u1 (+ (* -4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2))))))) (pow (cos (* 1/2 (PI))) 2))
(fma.f32 u1 (fma.f32 (PI.f32) (.f32 (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) #s(literal -4 binary32)) (.f32 u1 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) #s(literal -4 binary32) (.f32 (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) #s(literal 4 binary32)))))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))
(+ (* u1 (+ (* -4 (* (PI) (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI)))))) (* u1 (+ (* -4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))) (+ (* 4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2))) (* u1 (+ (* 8/3 (* (pow (PI) 3) (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI)))))) (* 8 (* (pow (PI) 3) (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI))))))))))))) (pow (cos (* 1/2 (PI))) 2))
(fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (.f32 (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 32/3 binary32))) (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) #s(literal -4 binary32) (.f32 (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) #s(literal 4 binary32))))) (.f32 (.f32 (.f32 (PI.f32) #s(literal -4 binary32)) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))
(pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)
(pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) #s(literal 2 binary32))
(pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)
(pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) #s(literal 2 binary32))
(pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)
(pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) #s(literal 2 binary32))
(pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)
(pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) #s(literal 2 binary32))
(pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)
(pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) #s(literal 2 binary32))
(pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)
(pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) #s(literal 2 binary32))
(pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)
(pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) #s(literal 2 binary32))
(pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)
(pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))) #s(literal 2 binary32))

eval454.0ms (3.1%)

Memory: 18.5MiB live, 702.1MiB allocated
Compiler: Compiled 150 796 to 17 742 computations (88.2% saved)

prune368.0ms (2.5%)

Memory

-0.9MiB live, 642.2MiB allocated

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	2 408	7	2 415
Fresh	0	2	2
Picked	3	2	5
Done	0	0	0
Total	2 411	11	2 422

Accuracy

99.3%

Counts

2 422 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.5%	(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))
	46.7%	(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (.f32 u1 #s(literal 2 binary32))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))
	95.5%	(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))
	94.7%	(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 alphax alphax) (fma.f32 (.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (.f32 (.f32 alphax alphax) (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))))) #s(literal 1 binary32)))
✓	97.2%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (.f32 alphay alphay) (/.f32 u0 (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
▶	97.2%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (.f32 alphay alphay) (/.f32 u0 (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
▶	99.3%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 alphax alphax) (fma.f32 (.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (.f32 (.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32))))))))))
▶	98.4%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (.f32 alphay alphay))))))))
	97.7%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (.f32 alphay alphay))))))))
▶	98.6%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (+.f32 (PI.f32) (PI.f32)))))) (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (*.f32 alphay alphay))))))))
▶	90.7%	#s(literal 1 binary32)

Compiler

Compiled 877 to 520 computations (40.7% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize1.1s (7.8%)

Memory

40.8MiB live, 1 592.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
✓	accuracy	100.0%	(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
✓	accuracy	100.0%	(atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
✓	accuracy	6.3%	(PI.f32)
✓	accuracy	100.0%	(sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))
✓	accuracy	100.0%	(cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (+.f32 (PI.f32) (PI.f32))))
✓	accuracy	100.0%	(atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))
✓	accuracy	6.3%	(PI.f32)
✓	accuracy	100.0%	(sqrt.f32 (fma.f32 (.f32 alphay alphay) (/.f32 u0 (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))
✓	accuracy	100.0%	(sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
✓	accuracy	100.0%	(atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
✓	accuracy	6.3%	(PI.f32)
✓	accuracy	100.0%	(sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax)))
✓	accuracy	100.0%	(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
✓	accuracy	100.0%	(atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))
✓	accuracy	6.3%	(PI.f32)

Samples

880.0ms

256×

exit

Compiler

Compiled 1 889 to 73 computations (96.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 740.0ms

adjust: 136.0ms (18.4% of total)

ival-div: 111.0ms (15% of total)

ival-mult: 106.0ms (14.3% of total)

ival-sin: 95.0ms (12.8% of total)

ival-cos: 71.0ms (9.6% of total)

ival-tan: 58.0ms (7.8% of total)

ival-pow2: 51.0ms (6.9% of total)

ival-sqrt: 44.0ms (5.9% of total)

ival-add: 44.0ms (5.9% of total)

ival-atan: 15.0ms (2% of total)

ival-pi: 6.0ms (0.8% of total)

ival-sub: 2.0ms (0.3% of total)

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

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

exact: 0.0ms (0% of total)

series29.0ms (0.2%)

Memory

-11.8MiB live, 32.7MiB allocated

Counts

8 → 180

Calls

Call 1

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

Outputs
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (cos (* 1/2 (PI)))>
#<alt (+ (cos (* 1/2 (PI))) (* -2 (* u1 (* (PI) (sin (* 1/2 (PI)))))))>
#<alt (+ (cos (* 1/2 (PI))) (* u1 (- (* -2 (* u1 (* (pow (PI) 2) (cos (* 1/2 (PI)))))) (* 2 (* (PI) (sin (* 1/2 (PI))))))))>
#<alt (+ (cos (* 1/2 (PI))) (* u1 (- (* u1 (+ (* -2 (* (pow (PI) 2) (cos (* 1/2 (PI))))) (* 4/3 (* u1 (* (pow (PI) 3) (sin (* 1/2 (PI)))))))) (* 2 (* (PI) (sin (* 1/2 (PI))))))))>
#<alt (cos (* (PI) (+ 1/2 (* 2 u1))))>
#<alt (cos (* (PI) (+ 1/2 (* 2 u1))))>
#<alt (cos (* (PI) (+ 1/2 (* 2 u1))))>
#<alt (cos (* (PI) (+ 1/2 (* 2 u1))))>
#<alt (cos (* (PI) (- 1/2 (* -2 u1))))>
#<alt (cos (* (PI) (- 1/2 (* -2 u1))))>
#<alt (cos (* (PI) (- 1/2 (* -2 u1))))>
#<alt (cos (* (PI) (- 1/2 (* -2 u1))))>
#<alt (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))>
#<alt (+ 1 (* (pow alphay 2) (+ (* -1/8 (/ (* (pow alphay 2) (pow u0 2)) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4) (pow (- 1 u0) 2)))) (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))))>
#<alt (+ 1 (* (pow alphay 2) (+ (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/8 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4) (pow (- 1 u0) 2)))) (* 1/16 (/ (* (pow alphay 2) (pow u0 3)) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 6) (pow (- 1 u0) 3)))))))))>
#<alt (* (/ alphay (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))) (sqrt (/ u0 (- 1 u0))))>
#<alt (* alphay (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))>
#<alt (* alphay (+ (* -1/8 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))>
#<alt (* alphay (+ (* -1/8 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/16 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 5) (pow alphay 6)) (sqrt (/ (pow (- 1 u0) 5) (pow u0 5))))) (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))))>
#<alt (* -1 (* (/ alphay (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))) (sqrt (/ u0 (- 1 u0)))))>
#<alt (* -1 (* alphay (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))>
#<alt (* -1 (* alphay (+ (* -1/8 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))))>
#<alt (* -1 (* alphay (+ (* -1/8 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/16 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 5) (pow alphay 6)) (sqrt (/ (pow (- 1 u0) 5) (pow u0 5))))) (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))>
#<alt (+ 1 (* u0 (+ (* -1/2 (* u0 (+ (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* 1/4 (/ (pow alphay 4) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4)))))) (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))))>
#<alt (+ 1 (* u0 (+ (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* u0 (+ (* -1/2 (* u0 (+ (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* -1/2 (/ (* (pow alphay 2) (+ (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* 1/4 (/ (pow alphay 4) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4))))) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))) (* -1/2 (+ (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* 1/4 (/ (pow alphay 4) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4))))))))))>
#<alt (sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))>
#<alt (+ (sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))) (* -1/2 (* (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))))))>
#<alt (+ (sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))) (+ (* -1/2 (* (/ (+ (* 1/4 (/ (pow alphay 4) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4) (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))))) (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (pow u0 2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))))) (* -1/2 (* (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))))))))>
#<alt (+ (sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))) (+ (* -1/2 (* (/ (+ (* 1/4 (/ (pow alphay 4) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4) (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))))) (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (pow u0 2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))))) (+ (* -1/2 (* (/ (+ (* 1/2 (/ (* (pow alphay 2) (+ (* 1/4 (/ (pow alphay 4) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4) (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))))) (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))))) (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (pow u0 3)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))))) (* -1/2 (* (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))))))))>
#<alt (sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))>
#<alt (+ (sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))) (* -1/2 (* (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))))))>
#<alt (+ (sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))) (* -1 (/ (+ (* -1/2 (* (/ (- (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* 1/4 (/ (pow alphay 4) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4) (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))))) u0) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))))) (* 1/2 (* (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))))))) u0)))>
#<alt (+ (sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (- (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)) (* 1/2 (/ (* (pow alphay 2) (- (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* 1/4 (/ (pow alphay 4) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4) (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))))))) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))))) u0) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))))) (* 1/2 (* (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))) (- (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* 1/4 (/ (pow alphay 4) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4) (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))))))))) u0)) (* 1/2 (* (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))))))) u0)))>
#<alt (sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))>
#<alt (sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))>
#<alt (sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))>
#<alt (sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))>
#<alt (sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))>
#<alt (sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))>
#<alt (sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))>
#<alt (sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))>
#<alt (sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))>
#<alt (sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))>
#<alt (sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))>
#<alt (sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))>
#<alt (cos (PI))>
#<alt (+ (cos (PI)) (* -4 (* u1 (* (PI) (sin (PI))))))>
#<alt (+ (cos (PI)) (* u1 (- (* -8 (* u1 (* (pow (PI) 2) (cos (PI))))) (* 4 (* (PI) (sin (PI)))))))>
#<alt (+ (cos (PI)) (* u1 (- (* u1 (+ (* -8 (* (pow (PI) 2) (cos (PI)))) (* 32/3 (* u1 (* (pow (PI) 3) (sin (PI))))))) (* 4 (* (PI) (sin (PI)))))))>
#<alt (cos (* 2 (* (PI) (+ 1/2 (* 2 u1)))))>
#<alt (cos (* 2 (* (PI) (+ 1/2 (* 2 u1)))))>
#<alt (cos (* 2 (* (PI) (+ 1/2 (* 2 u1)))))>
#<alt (cos (* 2 (* (PI) (+ 1/2 (* 2 u1)))))>
#<alt (cos (* 2 (* (PI) (- 1/2 (* -2 u1)))))>
#<alt (cos (* 2 (* (PI) (- 1/2 (* -2 u1)))))>
#<alt (cos (* 2 (* (PI) (- 1/2 (* -2 u1)))))>
#<alt (cos (* 2 (* (PI) (- 1/2 (* -2 u1)))))>

Calls

45 calls:

Time	Variable		Point	Expression
4.0ms	alphax	@	-inf	(atan (/ (* alphay (tan (* (PI) (+ (* 2 u1) 1/2)))) alphax))
2.0ms	u0	@	inf	(sqrt (+ (* (* alphay alphay) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))) 1))
2.0ms	alphax	@	0	(sqrt (+ (* (* alphay alphay) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))) 1))
1.0ms	u0	@	-inf	(sqrt (+ (* (* alphay alphay) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))) 1))
1.0ms	alphay	@	inf	(sqrt (+ (* (* alphay alphay) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))) 1))

rewrite100.0ms (0.7%)

Memory

2.3MiB live, 76.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

916×	`lower-*.f64`
902×	`lower-*.f32`
602×	`lower-/.f64`
596×	`lower-/.f32`
532×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	85
0	59	85
1	189	85
0	1355	85

Stop Event

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

Counts

8 → 53

Calls

Call 1

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

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

simplify409.0ms (2.8%)

Memory

-2.8MiB live, 619.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 356×	`lower-fma.f64`
10 356×	`lower-fma.f32`
6 718×	`lower-*.f64`
6 718×	`lower-*.f32`
3 912×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	251	3925
1	738	3796
2	2647	3738
0	8052	3593

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(cos (* 1/2 (PI)))
(+ (cos (* 1/2 (PI))) (* -2 (* u1 (* (PI) (sin (* 1/2 (PI)))))))
(+ (cos (* 1/2 (PI))) (* u1 (- (* -2 (* u1 (* (pow (PI) 2) (cos (* 1/2 (PI)))))) (* 2 (* (PI) (sin (* 1/2 (PI))))))))
(+ (cos (* 1/2 (PI))) (* u1 (- (* u1 (+ (* -2 (* (pow (PI) 2) (cos (* 1/2 (PI))))) (* 4/3 (* u1 (* (pow (PI) 3) (sin (* 1/2 (PI)))))))) (* 2 (* (PI) (sin (* 1/2 (PI))))))))
(cos (* (PI) (+ 1/2 (* 2 u1))))
(cos (* (PI) (+ 1/2 (* 2 u1))))
(cos (* (PI) (+ 1/2 (* 2 u1))))
(cos (* (PI) (+ 1/2 (* 2 u1))))
(cos (* (PI) (- 1/2 (* -2 u1))))
(cos (* (PI) (- 1/2 (* -2 u1))))
(cos (* (PI) (- 1/2 (* -2 u1))))
(cos (* (PI) (- 1/2 (* -2 u1))))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))
(sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))
(sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))
(sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
1
(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
(+ 1 (* (pow alphay 2) (+ (* -1/8 (/ (* (pow alphay 2) (pow u0 2)) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4) (pow (- 1 u0) 2)))) (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))))
(+ 1 (* (pow alphay 2) (+ (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/8 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4) (pow (- 1 u0) 2)))) (* 1/16 (/ (* (pow alphay 2) (pow u0 3)) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 6) (pow (- 1 u0) 3)))))))))
(* (/ alphay (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))) (sqrt (/ u0 (- 1 u0))))
(* alphay (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))
(* alphay (+ (* -1/8 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))
(* alphay (+ (* -1/8 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/16 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 5) (pow alphay 6)) (sqrt (/ (pow (- 1 u0) 5) (pow u0 5))))) (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))))
(* -1 (* (/ alphay (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))) (sqrt (/ u0 (- 1 u0)))))
(* -1 (* alphay (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))
(* -1 (* alphay (+ (* -1/8 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))))
(* -1 (* alphay (+ (* -1/8 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/16 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 5) (pow alphay 6)) (sqrt (/ (pow (- 1 u0) 5) (pow u0 5))))) (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))))
1
(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
(+ 1 (* u0 (+ (* -1/2 (* u0 (+ (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* 1/4 (/ (pow alphay 4) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4)))))) (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))))
(+ 1 (* u0 (+ (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* u0 (+ (* -1/2 (* u0 (+ (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* -1/2 (/ (* (pow alphay 2) (+ (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* 1/4 (/ (pow alphay 4) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4))))) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))) (* -1/2 (+ (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* 1/4 (/ (pow alphay 4) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4))))))))))
(sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))
(+ (sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))) (* -1/2 (* (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))))))
(+ (sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))) (+ (* -1/2 (* (/ (+ (* 1/4 (/ (pow alphay 4) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4) (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))))) (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (pow u0 2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))))) (* -1/2 (* (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))))))))
(+ (sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))) (+ (* -1/2 (* (/ (+ (* 1/4 (/ (pow alphay 4) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4) (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))))) (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (pow u0 2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))))) (+ (* -1/2 (* (/ (+ (* 1/2 (/ (* (pow alphay 2) (+ (* 1/4 (/ (pow alphay 4) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4) (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))))) (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))))) (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (pow u0 3)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))))) (* -1/2 (* (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))))))))
(sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))
(+ (sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))) (* -1/2 (* (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))))))
(+ (sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))) (* -1 (/ (+ (* -1/2 (* (/ (- (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* 1/4 (/ (pow alphay 4) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4) (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))))) u0) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))))) (* 1/2 (* (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))))))) u0)))
(+ (sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (- (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)) (* 1/2 (/ (* (pow alphay 2) (- (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* 1/4 (/ (pow alphay 4) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4) (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))))))) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))))) u0) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))))) (* 1/2 (* (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))) (- (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* 1/4 (/ (pow alphay 4) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4) (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))))))))) u0)) (* 1/2 (* (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))))))) u0)))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
(cos (PI))
(+ (cos (PI)) (* -4 (* u1 (* (PI) (sin (PI))))))
(+ (cos (PI)) (* u1 (- (* -8 (* u1 (* (pow (PI) 2) (cos (PI))))) (* 4 (* (PI) (sin (PI)))))))
(+ (cos (PI)) (* u1 (- (* u1 (+ (* -8 (* (pow (PI) 2) (cos (PI)))) (* 32/3 (* u1 (* (pow (PI) 3) (sin (PI))))))) (* 4 (* (PI) (sin (PI)))))))
(cos (* 2 (* (PI) (+ 1/2 (* 2 u1)))))
(cos (* 2 (* (PI) (+ 1/2 (* 2 u1)))))
(cos (* 2 (* (PI) (+ 1/2 (* 2 u1)))))
(cos (* 2 (* (PI) (+ 1/2 (* 2 u1)))))
(cos (* 2 (* (PI) (- 1/2 (* -2 u1)))))
(cos (* 2 (* (PI) (- 1/2 (* -2 u1)))))
(cos (* 2 (* (PI) (- 1/2 (* -2 u1)))))
(cos (* 2 (* (PI) (- 1/2 (* -2 u1)))))

Outputs
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))
(cos (* 1/2 (PI)))
(cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(+ (cos (* 1/2 (PI))) (* -2 (* u1 (* (PI) (sin (* 1/2 (PI)))))))
(fma.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) u1)) (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (cos.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))))
(+ (cos (* 1/2 (PI))) (* u1 (- (* -2 (* u1 (* (pow (PI) 2) (cos (* 1/2 (PI)))))) (* 2 (* (PI) (sin (* 1/2 (PI))))))))
(fma.f32 u1 (.f32 #s(literal -2 binary32) (fma.f32 u1 (.f32 (cos.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))))) (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(+ (cos (* 1/2 (PI))) (* u1 (- (* u1 (+ (* -2 (* (pow (PI) 2) (cos (* 1/2 (PI))))) (* 4/3 (* u1 (* (pow (PI) 3) (sin (* 1/2 (PI)))))))) (* 2 (* (PI) (sin (* 1/2 (PI))))))))
(fma.f32 u1 (fma.f32 u1 (fma.f32 (.f32 (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 u1 #s(literal 4/3 binary32)) (.f32 #s(literal -2 binary32) (.f32 (cos.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 (PI.f32) (PI.f32))))) (.f32 (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 (PI.f32) #s(literal -2 binary32)))) (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(cos (* (PI) (+ 1/2 (* 2 u1))))
(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(cos (* (PI) (+ 1/2 (* 2 u1))))
(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(cos (* (PI) (+ 1/2 (* 2 u1))))
(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(cos (* (PI) (+ 1/2 (* 2 u1))))
(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(cos (* (PI) (- 1/2 (* -2 u1))))
(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(cos (* (PI) (- 1/2 (* -2 u1))))
(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(cos (* (PI) (- 1/2 (* -2 u1))))
(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(cos (* (PI) (- 1/2 (* -2 u1))))
(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
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(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
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(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
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(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
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(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
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(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax))))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
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(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
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(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
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(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
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(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
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(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
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(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
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(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax))))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax))))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax))))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax))))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax))))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax))))
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(sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))
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(sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))
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(sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))
(sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax))))
(sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))
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(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
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(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax))))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax))))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax))))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax))))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax))))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax))))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax))))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax))))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax))))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax))))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
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(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
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(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
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(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
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(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
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(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
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(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
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(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
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(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
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(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
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(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
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(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
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(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
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(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
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(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
(fma.f32 alphay (/.f32 (.f32 alphay (.f32 #s(literal 1/2 binary32) u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))
(+ 1 (* (pow alphay 2) (+ (* -1/8 (/ (* (pow alphay 2) (pow u0 2)) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4) (pow (- 1 u0) 2)))) (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))))
(fma.f32 alphay (.f32 alphay (fma.f32 #s(literal -1/8 binary32) (/.f32 (.f32 alphay (.f32 alphay (.f32 u0 u0))) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0)))) (/.f32 (.f32 #s(literal 1/2 binary32) u0) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))) #s(literal 1 binary32))
(+ 1 (* (pow alphay 2) (+ (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/8 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4) (pow (- 1 u0) 2)))) (* 1/16 (/ (* (pow alphay 2) (pow u0 3)) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 6) (pow (- 1 u0) 3)))))))))
(fma.f32 alphay (.f32 alphay (fma.f32 (.f32 alphay alphay) (fma.f32 (.f32 #s(literal -1/8 binary32) u0) (/.f32 u0 (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0)))) (/.f32 (.f32 (.f32 #s(literal 1/16 binary32) (.f32 alphay alphay)) (.f32 u0 (.f32 u0 u0))) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0)))))) (/.f32 (.f32 #s(literal 1/2 binary32) u0) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))) #s(literal 1 binary32))
(* (/ alphay (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))) (sqrt (/ u0 (- 1 u0))))
(/.f32 (.f32 alphay (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))
(* alphay (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))
(.f32 alphay (fma.f32 #s(literal 1/2 binary32) (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (.f32 alphay alphay))) (/.f32 (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))
(* alphay (+ (* -1/8 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))
(.f32 alphay (fma.f32 #s(literal -1/8 binary32) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 3 binary32)) (/.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0))) (.f32 u0 (.f32 u0 u0)))) (.f32 (.f32 alphay alphay) (.f32 alphay alphay)))) (fma.f32 #s(literal 1/2 binary32) (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (.f32 alphay alphay))) (/.f32 (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))))))
(* alphay (+ (* -1/8 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/16 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 5) (pow alphay 6)) (sqrt (/ (pow (- 1 u0) 5) (pow u0 5))))) (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))))
(.f32 alphay (fma.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 3 binary32)) (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0))) (.f32 u0 (.f32 u0 u0))))) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 alphay alphay) (.f32 alphay alphay))) (fma.f32 #s(literal 1/2 binary32) (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (.f32 alphay alphay))) (fma.f32 #s(literal 1/16 binary32) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 5 binary32)) (/.f32 (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 5 binary32)) (pow.f32 u0 #s(literal 5 binary32)))) (pow.f32 alphay #s(literal 6 binary32)))) (/.f32 (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))))
(* -1 (* (/ alphay (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))) (sqrt (/ u0 (- 1 u0)))))
(/.f32 (.f32 alphay (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) (neg.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))))
(* -1 (* alphay (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))
(.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (.f32 alphay alphay))) (/.f32 (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))) (neg.f32 alphay))
(* -1 (* alphay (+ (* -1/8 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))))
(.f32 alphay (neg.f32 (fma.f32 #s(literal -1/8 binary32) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 3 binary32)) (/.f32 (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0))) (.f32 u0 (.f32 u0 u0)))) (.f32 (.f32 alphay alphay) (.f32 alphay alphay)))) (fma.f32 #s(literal 1/2 binary32) (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (.f32 alphay alphay))) (/.f32 (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))))
(* -1 (* alphay (+ (* -1/8 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 3) (pow alphay 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/16 (* (/ (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 5) (pow alphay 6)) (sqrt (/ (pow (- 1 u0) 5) (pow u0 5))))) (+ (* 1/2 (* (/ (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) (pow alphay 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))))
(.f32 (fma.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 3 binary32)) (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0))) (.f32 u0 (.f32 u0 u0))))) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 alphay alphay) (.f32 alphay alphay))) (fma.f32 #s(literal 1/2 binary32) (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (.f32 alphay alphay))) (fma.f32 #s(literal 1/16 binary32) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 5 binary32)) (/.f32 (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 5 binary32)) (pow.f32 u0 #s(literal 5 binary32)))) (pow.f32 alphay #s(literal 6 binary32)))) (/.f32 (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))) (neg.f32 alphay))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
(fma.f32 (.f32 alphay (.f32 alphay u0)) (/.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal 1 binary32))
(+ 1 (* u0 (+ (* -1/2 (* u0 (+ (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* 1/4 (/ (pow alphay 4) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4)))))) (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))))
(fma.f32 u0 (.f32 #s(literal -1/2 binary32) (fma.f32 u0 (fma.f32 (neg.f32 alphay) (/.f32 alphay (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (/.f32 (.f32 (.f32 (.f32 alphay alphay) (.f32 alphay alphay)) #s(literal 1/4 binary32)) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 4 binary32)))) (/.f32 (.f32 alphay (neg.f32 alphay)) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))))) #s(literal 1 binary32))
(+ 1 (* u0 (+ (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* u0 (+ (* -1/2 (* u0 (+ (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* -1/2 (/ (* (pow alphay 2) (+ (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* 1/4 (/ (pow alphay 4) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4))))) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))) (* -1/2 (+ (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* 1/4 (/ (pow alphay 4) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4))))))))))
(fma.f32 u0 (.f32 #s(literal -1/2 binary32) (fma.f32 (fma.f32 u0 (fma.f32 alphay (neg.f32 (/.f32 alphay (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)))) (.f32 (.f32 alphay alphay) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (/.f32 (.f32 #s(literal -1/8 binary32) (.f32 (.f32 alphay alphay) (.f32 alphay alphay))) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 4 binary32)))) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))))) (fma.f32 (neg.f32 alphay) (/.f32 alphay (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (/.f32 (.f32 (.f32 (.f32 alphay alphay) (.f32 alphay alphay)) #s(literal 1/4 binary32)) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 4 binary32))))) u0 (/.f32 (.f32 alphay (neg.f32 alphay)) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))))) #s(literal 1 binary32))
(sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))
(sqrt.f32 (fma.f32 alphay (neg.f32 (/.f32 alphay (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(+ (sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))) (* -1/2 (* (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alphay (neg.f32 (/.f32 alphay (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 alphay alphay)) (.f32 u0 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)))) (sqrt.f32 (fma.f32 alphay (neg.f32 (/.f32 alphay (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)))) #s(literal 1 binary32))))
(+ (sqrt (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))) (+ (* -1/2 (* (/ (+ (* 1/4 (/ (pow alphay 4) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 4) (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))))) (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (pow u0 2)) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))))) (* -1/2 (* (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))))))))
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(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(cos (* 2 (* (PI) (+ 1/2 (* 2 u1)))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(cos (* 2 (* (PI) (+ 1/2 (* 2 u1)))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(cos (* 2 (* (PI) (- 1/2 (* -2 u1)))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(cos (* 2 (* (PI) (- 1/2 (* -2 u1)))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(cos (* 2 (* (PI) (- 1/2 (* -2 u1)))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(cos (* 2 (* (PI) (- 1/2 (* -2 u1)))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))

eval79.0ms (0.5%)

Memory: -9.1MiB live, 196.6MiB allocated
Compiler: Compiled 32 384 to 2 722 computations (91.6% saved)

prune70.0ms (0.5%)

Memory

9.2MiB live, 170.7MiB allocated

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	565	7	572
Fresh	1	3	4
Picked	2	3	5
Done	0	2	2
Total	568	15	583

Accuracy

99.3%

Counts

583 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.0%	(/.f32 #s(literal 1 binary32) (fma.f32 (.f32 alphay (.f32 alphay u0)) (/.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal 1 binary32)))
	95.5%	(/.f32 #s(literal 1 binary32) (fma.f32 alphay (/.f32 (.f32 alphay (.f32 #s(literal 1/2 binary32) u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))
✓	95.5%	(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))
	46.7%	(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (.f32 u1 #s(literal 2 binary32))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))
	94.7%	(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 alphax alphax) (fma.f32 (.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (.f32 (.f32 alphax alphax) (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))))) #s(literal 1 binary32)))
	16.9%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 alphay (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) (neg.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))
✓	97.2%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (.f32 alphay alphay) (/.f32 u0 (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
	97.2%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 alphay (/.f32 (.f32 alphay u0) (.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
✓	99.3%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 alphax alphax) (fma.f32 (.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (.f32 (.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32))))))))))
	97.7%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (.f32 alphay alphay))))))))
	97.9%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (fma.f32 u1 (.f32 u1 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 8 binary32))) #s(literal -1 binary32)))) (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (*.f32 alphay alphay))))))))
	98.6%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (+.f32 (PI.f32) (PI.f32)))))) (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (/.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32))))) #s(literal 2 binary32)) (*.f32 alphay alphay))))))))
✓	98.6%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (+.f32 (PI.f32) (PI.f32)))))) (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (*.f32 alphay alphay))))))))
	97.1%	(/.f32 #s(literal 1 binary32) (exp.f32 (.f32 (log1p.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1/2 binary32))))
✓	90.7%	#s(literal 1 binary32)

Compiler

Compiled 1 696 to 622 computations (63.3% saved)

regimes114.0ms (0.8%)

Memory

16.6MiB live, 240.8MiB allocated

Counts

24 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 alphay (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) (neg.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 alphay (/.f32 (.f32 alphay u0) (.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (.f32 alphay (.f32 alphay u0)) (/.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 alphay (/.f32 (.f32 alphay (.f32 #s(literal 1/2 binary32) u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (.f32 alphay alphay) (/.f32 u0 (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (.f32 u1 #s(literal 2 binary32))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (.f32 alphay alphay) (/.f32 u0 (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (exp.f32 (.f32 (log1p.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (fma.f32 u1 (.f32 u1 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 8 binary32))) #s(literal -1 binary32)))) (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (*.f32 alphay alphay))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (+.f32 (PI.f32) (PI.f32)))))) (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (*.f32 alphay alphay))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fma.f32 (cos.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (+.f32 (PI.f32) (PI.f32)))))) (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (/.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32))))) #s(literal 2 binary32)) (*.f32 alphay alphay))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (.f32 alphay alphay))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (.f32 alphay alphay))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (.f32 alphay alphay))))))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 alphax alphax) (fma.f32 (.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (.f32 (.f32 alphax alphax) (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 alphax alphax) (fma.f32 (.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (.f32 (.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32))))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))

Calls

13 calls:

13.0ms	alphax
12.0ms	u0
11.0ms	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
10.0ms	(/.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)))))
9.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))

Results

Accuracy	Segments	Branch
99.3%	1	`u0`
99.3%	1	`u1`
99.3%	1	`alphax`
99.3%	1	`alphay`
99.3%	1	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
99.3%	1	(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
99.3%	1	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
99.3%	1	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
99.3%	1	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
99.3%	1	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
99.3%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
99.3%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
99.3%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`

Compiler

Compiled 574 to 219 computations (61.8% saved)

regimes147.0ms (1%)

Memory

-32.5MiB live, 193.4MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 alphay (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) (neg.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 alphay (/.f32 (.f32 alphay u0) (.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (.f32 alphay (.f32 alphay u0)) (/.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 alphay (/.f32 (.f32 alphay (.f32 #s(literal 1/2 binary32) u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (.f32 alphay alphay) (/.f32 u0 (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (.f32 u1 #s(literal 2 binary32))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (.f32 alphay alphay) (/.f32 u0 (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (exp.f32 (.f32 (log1p.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (fma.f32 u1 (.f32 u1 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 8 binary32))) #s(literal -1 binary32)))) (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (*.f32 alphay alphay))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (+.f32 (PI.f32) (PI.f32)))))) (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (*.f32 alphay alphay))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fma.f32 (cos.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (+.f32 (PI.f32) (PI.f32)))))) (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (/.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32))))) #s(literal 2 binary32)) (*.f32 alphay alphay))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (.f32 alphay alphay))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (.f32 alphay alphay))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (.f32 alphay alphay))))))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 alphax alphax) (fma.f32 (.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (.f32 (.f32 alphax alphax) (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 alphax alphax) (fma.f32 (.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (.f32 (.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32))))))))))

Outputs

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

Calls

13 calls:

48.0ms	(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
18.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
9.0ms	(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
9.0ms	alphax
9.0ms	u0

Results

Accuracy	Segments	Branch
99.3%	1	`u0`
99.3%	1	`u1`
99.3%	1	`alphax`
99.3%	1	`alphay`
99.3%	1	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
99.3%	1	(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
99.3%	1	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
99.3%	1	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
99.3%	1	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
99.3%	1	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
99.3%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
99.3%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
99.3%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`

Compiler

Compiled 574 to 219 computations (61.8% saved)

regimes94.0ms (0.6%)

Memory

16.7MiB live, 213.6MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 alphay (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) (neg.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 alphay (/.f32 (.f32 alphay u0) (.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (.f32 alphay (.f32 alphay u0)) (/.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 alphay (/.f32 (.f32 alphay (.f32 #s(literal 1/2 binary32) u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (.f32 alphay alphay) (/.f32 u0 (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (.f32 u1 #s(literal 2 binary32))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (.f32 alphay alphay) (/.f32 u0 (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (exp.f32 (.f32 (log1p.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (fma.f32 u1 (.f32 u1 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 8 binary32))) #s(literal -1 binary32)))) (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (*.f32 alphay alphay))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (+.f32 (PI.f32) (PI.f32)))))) (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (*.f32 alphay alphay))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fma.f32 (cos.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (+.f32 (PI.f32) (PI.f32)))))) (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (/.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32))))) #s(literal 2 binary32)) (*.f32 alphay alphay))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (.f32 alphay alphay))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (.f32 alphay alphay))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (.f32 alphay alphay))))))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 alphax alphax) (fma.f32 (.f32 alphay alphay) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (.f32 (.f32 alphax alphax) (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))))) #s(literal 1 binary32)))

Outputs

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

Calls

13 calls:

10.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
8.0ms	u1
8.0ms	alphay
8.0ms	(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))))
8.0ms	(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))

Results

Accuracy	Segments	Branch
98.6%	1	`u0`
98.6%	1	`u1`
98.6%	1	`alphax`
98.6%	1	`alphay`
98.6%	1	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
98.6%	1	(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
98.6%	1	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
98.6%	1	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
98.6%	1	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
98.6%	1	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
98.6%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
98.6%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
98.6%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`

Compiler

Compiled 574 to 219 computations (61.8% saved)

regimes182.0ms (1.2%)

Memory

3.7MiB live, 124.2MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 alphay (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) (neg.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 alphay (/.f32 (.f32 alphay u0) (.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (.f32 alphay (.f32 alphay u0)) (/.f32 #s(literal 1/2 binary32) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 alphay (/.f32 (.f32 alphay (.f32 #s(literal 1/2 binary32) u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (.f32 alphay alphay) (/.f32 u0 (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (.f32 u1 #s(literal 2 binary32))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (.f32 alphay alphay) (/.f32 u0 (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (exp.f32 (.f32 (log1p.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (fma.f32 u1 (.f32 u1 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 8 binary32))) #s(literal -1 binary32)))) (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (*.f32 alphay alphay))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (+.f32 (PI.f32) (PI.f32)))))) (.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) alphax))) #s(literal 2 binary32)) (*.f32 alphay alphay))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fma.f32 (cos.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))

Outputs

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

Calls

13 calls:

99.0ms	(/.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))
24.0ms	alphax
8.0ms	(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
5.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
5.0ms	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))

Results

Accuracy	Segments	Branch
98.6%	1	`u0`
98.6%	1	`u1`
98.6%	1	`alphax`
98.6%	1	`alphay`
98.6%	1	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
98.6%	1	(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
98.6%	1	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
98.6%	1	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
98.6%	1	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
98.6%	1	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
98.6%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
98.6%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
98.6%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`

Compiler

Compiled 574 to 219 computations (61.8% saved)

regimes84.0ms (0.6%)

Memory

-5.5MiB live, 115.4MiB allocated

Counts

13 → 1

Calls

Call 1

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

Outputs

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

Calls

13 calls:

27.0ms	u1
6.0ms	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
5.0ms	(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
5.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
5.0ms	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))

Results

Accuracy	Segments	Branch
97.9%	1	`u0`
97.9%	1	`u1`
97.9%	1	`alphax`
97.9%	1	`alphay`
97.9%	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)))))
97.9%	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))))
97.9%	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)))
97.9%	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))
97.9%	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))))
97.9%	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)))
97.9%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
97.9%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
97.9%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`

Compiler

Compiled 574 to 219 computations (61.8% saved)

regimes157.0ms (1.1%)

Memory

-19.1MiB live, 104.6MiB allocated

Counts

12 → 1

Calls

Call 1

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

Outputs

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

Calls

13 calls:

78.0ms	alphax
29.0ms	(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
6.0ms	(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))))
4.0ms	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
4.0ms	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))

Results

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

Compiler

Compiled 574 to 219 computations (61.8% saved)

regimes73.0ms (0.5%)

Memory

10.4MiB live, 88.1MiB allocated

Counts

10 → 1

Calls

Call 1

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

Outputs

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

Calls

13 calls:

26.0ms	(+.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)))
5.0ms	u1
4.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
4.0ms	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
4.0ms	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))

Results

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

Compiler

Compiled 574 to 219 computations (61.8% saved)

regimes31.0ms (0.2%)

Memory

-9.6MiB live, 69.2MiB allocated

Accuracy

Total -23.7b remaining (-798.6%)

Threshold costs -23.7b (-798.6%)

Counts

3 → 1

Calls

Call 1

Inputs

#s(literal 1 binary32)

(/.f32 #s(literal 1 binary32) #s(literal 1 binary32))

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

Outputs
#s(literal 1 binary32)

Calls

13 calls:

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

Results

Accuracy	Segments	Branch
90.7%	1	`alphax`
90.7%	1	`u0`
90.7%	1	`u1`
90.7%	1	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
90.7%	1	(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
90.7%	1	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
90.7%	1	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
90.7%	1	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
90.7%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
90.7%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
90.7%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`
90.7%	1	`alphay`
90.7%	1	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))

Compiler

Compiled 574 to 219 computations (61.8% saved)

simplify14.0ms (0.1%)

Memory

26.3MiB live, 26.3MiB allocated

Algorithm

1×	egg-herbie

Rules

62×	`*-commutative_binary32`
42×	`+-commutative_binary32`
12×	`sub-neg_binary32`
8×	`neg-sub0_binary32`
8×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	384
1	170	384
2	183	384
3	191	384
4	196	384
5	197	384

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.0s (6.9%)

Memory

10.2MiB live, 994.5MiB allocated

Rules

10 356×	`lower-fma.f64`
10 356×	`lower-fma.f32`
10 348×	`lower-*.f64`
10 348×	`lower-*.f32`
9 078×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	78
0	46	75
1	150	75
2	944	75
0	8614	75
0	251	3925
1	738	3796
2	2647	3738
0	8052	3593
0	32	85
0	59	85
1	189	85
0	1355	85
0	236	4554
1	734	4468
2	2618	4390
3	7490	4390
0	8045	4076
0	588	18627
1	2049	17631
0	8378	16607
0	16	64
0	27	49
1	95	49
2	665	35
0	8662	32

Stop Event

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

Compiler

Compiled 494 to 211 computations (57.3% saved)

preprocess125.0ms (0.9%)

Memory: -2.7MiB live, 203.0MiB allocated
Compiler: Compiled 960 to 292 computations (69.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.2s (8%)

sample3.9s (26.8%)

preprocess407.0ms (2.8%)

explain758.0ms (5.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify0.0ms (0%)

localize212.0ms (1.4%)

series19.0ms (0.1%)

rewrite268.0ms (1.8%)

simplify976.0ms (6.7%)

eval121.0ms (0.8%)

prune123.0ms (0.8%)

simplify0.0ms (0%)

localize232.0ms (1.6%)

series103.0ms (0.7%)

rewrite16.0ms (0.1%)

simplify423.0ms (2.9%)

eval43.0ms (0.3%)

prune16.0ms (0.1%)

simplify0.0ms (0%)

localize363.0ms (2.5%)

series28.0ms (0.2%)

rewrite337.0ms (2.3%)

simplify419.0ms (2.9%)

eval454.0ms (3.1%)

prune368.0ms (2.5%)

simplify0.0ms (0%)

localize1.1s (7.8%)

series29.0ms (0.2%)

rewrite100.0ms (0.7%)

simplify409.0ms (2.8%)

eval79.0ms (0.5%)

prune70.0ms (0.5%)

regimes114.0ms (0.8%)

regimes147.0ms (1%)

regimes94.0ms (0.6%)

regimes182.0ms (1.2%)

regimes84.0ms (0.6%)

regimes157.0ms (1.1%)

regimes73.0ms (0.5%)

regimes31.0ms (0.2%)

simplify14.0ms (0.1%)

soundness1.0s (6.9%)

preprocess125.0ms (0.9%)

end0.0ms (0%)

Profiling