Details

analyze1.2s (2.2%)

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
25%	0%	0%	100%	0%	0%	0%	3
25%	0%	0%	100%	0%	0%	0%	4
25%	0%	0%	100%	0%	0%	0%	5
37.5%	0%	0%	100%	0%	0%	0%	6
56.3%	0%	0%	100%	0%	0%	0%	7
56.3%	0%	0%	100%	0%	0%	0%	8
56.3%	0%	0%	100%	0%	0%	0%	9
65.6%	0%	0%	100%	0%	0%	0%	10
76.6%	0%	0%	100%	0%	0%	0%	11
76.6%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 123 to 87 computations (29.3% saved)

sample7.6s (14.2%)

Results

7.6s

8256×

body

256

valid

Bogosity

preprocess56.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

930×	`rational.json-simplify-37`
852×	`rational.json-simplify-29`
770×	`rational.json-simplify-67`
662×	`rational.json-simplify-21`
624×	`rational.json-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	2037
1	390	2037
2	1114	1771
3	4437	1771
0	4	4

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 96 to 68 computations (29.2% saved)

simplify42.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1386×	`rational.json-simplify-21`
1338×	`rational.json-simplify-29`
974×	`rational.json-simplify-23`
472×	`rational.json-simplify-24`
458×	`rational.json-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	291
1	80	291
2	210	253
3	772	253
4	4435	253

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

Inputs

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

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

eval6.0ms (0%)

Compiler: Compiled 424 to 276 computations (34.9% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	4	1	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	5	1	6

Error

0.2b

Counts

6 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (.f32 alphay alphay))))))))

Status

Error

Program

▶

0.2b

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

Compiler

Compiled 82 to 58 computations (29.3% saved)

localize417.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))))
✓	0.4b	(.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))
✓	11.4b	(tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))
✓	11.8b	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))))))

Compiler

Compiled 576 to 357 computations (38% saved)

series20.0ms (0%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	alphay	@	0	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))))
2.0ms	u1	@	0	(tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))
1.0ms	alphax	@	0	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))))
1.0ms	u1	@	0	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))))
1.0ms	alphax	@	inf	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))))))

rewrite147.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1294×	`rational.json-simplify-6`
1122×	`rational.json-simplify-3`
1004×	`rational.json-simplify-24`
898×	`rational.json-simplify-12`
894×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	128
1	102	128
2	317	128
3	1632	128

Stop Event

1×	node limit

Counts

4 → 586

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))) (-.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))) (+.f32 0 (-.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 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(#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (neg.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))))) (-.f32 0 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (neg.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))))) (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))) 2) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))))) (neg.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))) 2) (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))) 2)) (+.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))) (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 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(#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 (.f32 alphax (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))) (/.f32 1 alphay))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (-.f32 (neg.f32 alphay) alphay) (.f32 (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))) (+.f32 alphax alphax))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))) 1/2) (+.f32 alphax alphax))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 0 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))) (neg.f32 alphax))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (.f32 alphay 0) (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))) (neg.f32 alphax))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (/.f32 alphay (neg.f32 alphax))))))))

simplify306.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1408×	`rational.json-simplify-1`
1378×	`rational.json-simplify-3`
1082×	`rational.json-simplify-12`
950×	`rational.json-simplify-13`
782×	`rational.json-simplify-5`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1199	30726
1	3800	30468

Stop Event

1×	node limit

Counts

682 → 719

Calls

Call 1

Inputs
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) alphay) alphax)))
(/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32))))
(+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (.f32 (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2)))) u1))
(+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (+.f32 (.f32 2 (/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (pow.f32 u1 2) (.f32 (PI.f32) (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))))))) (cos.f32 (.f32 1/2 (PI.f32))))) (.f32 (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)))) u1)))
(+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (+.f32 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (+.f32 (.f32 4/3 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (PI.f32) 3)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))) (+.f32 (.f32 -4 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (.f32 (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2)))) (pow.f32 (PI.f32) 2))) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))) (.f32 -2 (.f32 (pow.f32 (PI.f32) 2) (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))))))))) (pow.f32 u1 3)) (+.f32 (.f32 2 (/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (pow.f32 u1 2) (.f32 (PI.f32) (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))))))) (cos.f32 (.f32 1/2 (PI.f32))))) (.f32 (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2)))) u1))))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))))
(/.f32 (sin.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32))) (cos.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32))))
(/.f32 (sin.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32))) (cos.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32))))
(/.f32 (sin.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32))) (cos.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32))))
(/.f32 (sin.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32))) (cos.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32))))
(*.f32 1/2 (PI.f32))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(.f32 2 (.f32 u1 (PI.f32)))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(.f32 2 (.f32 u1 (PI.f32)))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
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(-.f32 (/.f32 (+.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) 2) (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) 2)) (/.f32 alphax alphay)) (/.f32 (+.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) 2)) (/.f32 alphax alphay)))
(-.f32 (/.f32 (+.f32 alphay (+.f32 alphay alphay)) (.f32 (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))) (+.f32 alphax alphax))) (/.f32 1/2 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))))
(-.f32 (/.f32 0 (.f32 (/.f32 alphax alphay) -1)) (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (/.f32 alphay (neg.f32 alphax))))
(-.f32 (/.f32 0 (/.f32 (neg.f32 alphax) alphay)) (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (/.f32 alphay (neg.f32 alphax))))
(-.f32 (/.f32 0 (.f32 -1 (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))) (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (/.f32 alphay (neg.f32 alphax))))
(-.f32 (/.f32 (/.f32 0 alphax) (.f32 -1 (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))) (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (/.f32 alphay (neg.f32 alphax))))
(-.f32 (/.f32 0 (neg.f32 (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))) (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (/.f32 alphay (neg.f32 alphax))))
(-.f32 (/.f32 (/.f32 0 alphax) (neg.f32 (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))) (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (/.f32 alphay (neg.f32 alphax))))
(-.f32 (/.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (+.f32 alphay alphay)) alphax) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))
(/.f32 alphay (/.f32 alphax (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))
(/.f32 alphay (.f32 alphax (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))))
(/.f32 alphay (.f32 1 (/.f32 alphax (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))))
(/.f32 alphay (.f32 -1 (.f32 (neg.f32 alphax) (/.f32 1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))))
(/.f32 alphay (neg.f32 (.f32 (neg.f32 alphax) (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))))
(/.f32 (/.f32 alphay alphax) (/.f32 1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))
(/.f32 (/.f32 alphay alphax) (.f32 -1 (.f32 -1 (/.f32 1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))))
(/.f32 (/.f32 alphay alphax) (.f32 -1 (neg.f32 (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))))
(/.f32 (/.f32 alphay alphax) (neg.f32 (.f32 -1 (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))))
(/.f32 (/.f32 alphay alphax) (neg.f32 (neg.f32 (/.f32 1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))))
(/.f32 1/2 (/.f32 (/.f32 1 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) 2)) (/.f32 alphay alphax)))
(/.f32 1/2 (/.f32 (/.f32 alphax (+.f32 alphay alphay)) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))
(/.f32 1/2 (/.f32 alphax (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (/.f32 1/2 alphay))))
(/.f32 1/2 (/.f32 alphax (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (+.f32 alphay alphay))))
(/.f32 1/2 (.f32 (/.f32 1/2 alphay) (/.f32 alphax (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))))
(/.f32 1/2 (.f32 (/.f32 1/2 alphay) (.f32 alphax (/.f32 1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))))
(/.f32 1/2 (.f32 (/.f32 alphax (+.f32 alphay alphay)) (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))))
(/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (/.f32 alphax alphay))
(/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (.f32 -1 (*.f32 (/.f32 alphax alphay) -1)))
(/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (.f32 -1 (/.f32 (neg.f32 alphax) alphay)))
(/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (neg.f32 (.f32 (/.f32 alphax alphay) -1)))
(/.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))) 1)
(/.f32 1 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))
(/.f32 1 (.f32 (/.f32 1 alphay) (/.f32 alphax (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))))
(/.f32 1 (.f32 (/.f32 1 alphay) (.f32 alphax (/.f32 1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))))
(/.f32 (+.f32 alphay alphay) (.f32 (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))) (+.f32 alphax alphax)))
(/.f32 (+.f32 alphay alphay) (/.f32 (+.f32 alphax alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))
(/.f32 (/.f32 1/2 alphax) (/.f32 (/.f32 1/2 alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))
(/.f32 (/.f32 1/2 alphax) (.f32 (/.f32 1/2 alphay) (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))))
(/.f32 -1 (/.f32 alphax (neg.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))))
(/.f32 -1 (/.f32 (/.f32 (neg.f32 alphax) alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))
(/.f32 -1 (/.f32 (/.f32 alphax -1/2) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (/.f32 1/2 alphay))))
(/.f32 -1 (/.f32 (-.f32 (neg.f32 alphax) alphax) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (/.f32 1/2 alphay))))
(/.f32 -1 (/.f32 (/.f32 alphax -1/2) (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (+.f32 alphay alphay))))
(/.f32 -1 (/.f32 (-.f32 (neg.f32 alphax) alphax) (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (+.f32 alphay alphay))))
(/.f32 -1 (.f32 (/.f32 (neg.f32 alphax) alphay) (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))))
(/.f32 (neg.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))) (/.f32 (neg.f32 alphax) alphay))
(/.f32 (neg.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))) (.f32 (/.f32 alphax alphay) -1))
(/.f32 (neg.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))) (.f32 1 (/.f32 (neg.f32 alphax) alphay)))
(/.f32 (neg.f32 alphay) (.f32 (neg.f32 alphax) (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))))
(/.f32 (neg.f32 alphay) (/.f32 (neg.f32 alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))
(/.f32 (neg.f32 alphay) (.f32 -1 (/.f32 alphax (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))))
(/.f32 (neg.f32 alphay) (.f32 -1 (.f32 alphax (/.f32 1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))))
(/.f32 (neg.f32 alphay) (neg.f32 (/.f32 alphax (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))))
(/.f32 (neg.f32 alphay) (neg.f32 (.f32 alphax (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))))
(/.f32 (/.f32 alphay (neg.f32 alphax)) (.f32 -1 (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))))
(/.f32 (/.f32 alphay (neg.f32 alphax)) (neg.f32 (/.f32 1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))))
(/.f32 (/.f32 alphay (neg.f32 alphax)) (/.f32 -1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))
(/.f32 (/.f32 alphay (neg.f32 alphax)) (.f32 1 (neg.f32 (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))))
(/.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (/.f32 alphay (neg.f32 alphax))) -1)
(/.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (/.f32 1/2 alphax)) (/.f32 1/2 alphay))
(/.f32 (/.f32 1 alphax) (/.f32 (/.f32 1 alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))
(/.f32 (/.f32 1 alphax) (/.f32 1 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))))
(/.f32 -1/2 (/.f32 (neg.f32 alphax) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (/.f32 1/2 alphay))))
(/.f32 -1/2 (/.f32 (neg.f32 alphax) (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (+.f32 alphay alphay))))
(/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))) alphax)
(/.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (/.f32 1/2 alphay)) (+.f32 alphax alphax))
(/.f32 (neg.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))) (neg.f32 alphax))
(/.f32 (neg.f32 (+.f32 alphay alphay)) (.f32 (/.f32 alphax -1/2) (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))))
(/.f32 (neg.f32 (+.f32 alphay alphay)) (.f32 -1 (.f32 (/.f32 1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))) (+.f32 alphax alphax))))
(/.f32 (neg.f32 (+.f32 alphay alphay)) (neg.f32 (.f32 (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))) (+.f32 alphax alphax))))
(/.f32 (/.f32 1/2 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))) 1/2)
(/.f32 (/.f32 alphay (+.f32 alphax alphax)) (.f32 1/2 (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))))
(/.f32 (-.f32 (neg.f32 alphay) alphay) (.f32 -1 (.f32 (/.f32 1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))) (+.f32 alphax alphax))))
(/.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (neg.f32 alphay)) (neg.f32 alphax))
(/.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (+.f32 alphay alphay)) (+.f32 alphax alphax))
(/.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) 2) (/.f32 alphax (+.f32 alphay alphay)))
(/.f32 (-.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))) (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (+.f32 alphay alphay))) (neg.f32 alphax))
(/.f32 (/.f32 (neg.f32 (+.f32 alphay alphay)) (/.f32 1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))) (/.f32 alphax -1/2))
(/.f32 (/.f32 1 (/.f32 alphax (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))) (/.f32 1 alphay))
(/.f32 (/.f32 1 (.f32 alphax (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))) (/.f32 1 alphay))
(/.f32 (/.f32 (-.f32 (neg.f32 alphay) alphay) (.f32 (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))) (+.f32 alphax alphax))) -1)
(/.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))) 1/2) (+.f32 alphax alphax))
(/.f32 (-.f32 0 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))) (neg.f32 alphax))
(/.f32 (-.f32 (.f32 alphay 0) (.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))) (neg.f32 alphax))
(neg.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (/.f32 alphay (neg.f32 alphax))))

Outputs
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
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(/.f32 (/.f32 alphay (neg.f32 alphax)) (.f32 -1 (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))
(/.f32 (/.f32 alphay (neg.f32 alphax)) (neg.f32 (/.f32 1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))
(/.f32 (/.f32 alphay (neg.f32 alphax)) (/.f32 -1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))
(/.f32 (/.f32 alphay (neg.f32 alphax)) (.f32 1 (neg.f32 (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))
(/.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (/.f32 alphay (neg.f32 alphax))) -1)
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))
(/.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (/.f32 1/2 alphax)) (/.f32 1/2 alphay))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))
(/.f32 (/.f32 1 alphax) (/.f32 (/.f32 1 alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))
(/.f32 (/.f32 1 alphax) (/.f32 1 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))
(/.f32 -1/2 (/.f32 (neg.f32 alphax) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (/.f32 1/2 alphay))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))
(/.f32 -1/2 (/.f32 (neg.f32 alphax) (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (+.f32 alphay alphay))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))
(/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))) alphax)
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))
(/.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (/.f32 1/2 alphay)) (+.f32 alphax alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))
(/.f32 (neg.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))) (neg.f32 alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))
(/.f32 (neg.f32 (+.f32 alphay alphay)) (.f32 (/.f32 alphax -1/2) (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))))
(.f32 (.f32 (neg.f32 (+.f32 alphay alphay)) (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))) (/.f32 -1/2 alphax))
(.f32 (.f32 (neg.f32 (+.f32 alphay alphay)) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2))))) (/.f32 -1/2 alphax))
(/.f32 (neg.f32 (+.f32 alphay alphay)) (.f32 -1 (.f32 (/.f32 1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))) (+.f32 alphax alphax))))
(/.f32 (neg.f32 (+.f32 alphay alphay)) (neg.f32 (/.f32 (+.f32 alphax alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))))))
(/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) (/.f32 (+.f32 alphax alphax) (/.f32 (+.f32 alphay alphay) 1)))
(/.f32 (neg.f32 (+.f32 alphay alphay)) (neg.f32 (.f32 (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))) (+.f32 alphax alphax))))
(/.f32 (neg.f32 (+.f32 alphay alphay)) (neg.f32 (/.f32 (+.f32 alphax alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))))))
(/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) (/.f32 (+.f32 alphax alphax) (/.f32 (+.f32 alphay alphay) 1)))
(/.f32 (/.f32 1/2 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))) 1/2)
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))
(/.f32 (/.f32 alphay (+.f32 alphax alphax)) (.f32 1/2 (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))
(/.f32 (-.f32 (neg.f32 alphay) alphay) (.f32 -1 (.f32 (/.f32 1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))) (+.f32 alphax alphax))))
(neg.f32 (/.f32 (-.f32 (neg.f32 alphay) alphay) (/.f32 (+.f32 alphax alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))))))
(neg.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) (/.f32 (+.f32 alphax alphax) (-.f32 (neg.f32 alphay) alphay))))
(/.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (neg.f32 alphay)) (neg.f32 alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))
(/.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (+.f32 alphay alphay)) (+.f32 alphax alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))
(/.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) 2) (/.f32 alphax (+.f32 alphay alphay)))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))
(/.f32 (-.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))) (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (+.f32 alphay alphay))) (neg.f32 alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))
(/.f32 (/.f32 (neg.f32 (+.f32 alphay alphay)) (/.f32 1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))) (/.f32 alphax -1/2))
(.f32 (.f32 (neg.f32 (+.f32 alphay alphay)) (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))) (/.f32 -1/2 alphax))
(.f32 (.f32 (neg.f32 (+.f32 alphay alphay)) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2))))) (/.f32 -1/2 alphax))
(/.f32 (/.f32 1 (/.f32 alphax (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))) (/.f32 1 alphay))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))
(/.f32 (/.f32 1 (.f32 alphax (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))) (/.f32 1 alphay))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))
(/.f32 (/.f32 (-.f32 (neg.f32 alphay) alphay) (.f32 (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))) (+.f32 alphax alphax))) -1)
(neg.f32 (/.f32 (-.f32 (neg.f32 alphay) alphay) (/.f32 (+.f32 alphax alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))))))
(neg.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) (/.f32 (+.f32 alphax alphax) (-.f32 (neg.f32 alphay) alphay))))
(/.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))) 1/2) (+.f32 alphax alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))
(/.f32 (-.f32 0 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))) (neg.f32 alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))
(/.f32 (-.f32 (.f32 alphay 0) (.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))) (neg.f32 alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))
(neg.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (/.f32 alphay (neg.f32 alphax))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))

eval5.4s (10.1%)

Compiler: Compiled 260460 to 167016 computations (35.9% saved)

prune3.7s (7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	2787	3	2790
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	2787	4	2791

Error

0.2b

Counts

2791 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (.f32 alphay alphay))))))))
▶	0.6b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))) (*.f32 alphay alphay))))))))
▶	1.0b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (.f32 2 (PI.f32))))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (.f32 alphay alphay))))))))
▶	0.6b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (*.f32 alphay alphay))))))))

Compiler

Compiled 318 to 224 computations (29.6% saved)

localize426.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	11.4b	(tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))
	11.8b	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))))))
✓	29.7b	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))))
✓	31.7b	(tan.f32 (*.f32 1/2 (PI.f32)))

Compiler

Compiled 582 to 356 computations (38.8% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	alphax	@	-inf	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))))
1.0ms	alphay	@	0	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))))
1.0ms	alphay	@	-inf	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))))
1.0ms	alphay	@	inf	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))))
0.0ms	alphax	@	inf	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))))

rewrite52.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

808×	`rational.json-simplify-6`
768×	`rational.json-simplify-5`
708×	`rational.json-simplify-4`
700×	`rational.json-simplify-3`
648×	`rational.json-simplify-24`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	46
1	77	46
2	232	46
3	1163	46

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

Inputs
(tan.f32 (*.f32 1/2 (PI.f32)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (tan.f32 (.f32 1/2 (PI.f32))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (tan.f32 (.f32 1/2 (PI.f32))) (.f32 (tan.f32 (.f32 1/2 (PI.f32))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (tan.f32 (.f32 1/2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (tan.f32 (.f32 1/2 (PI.f32)))) (.f32 (tan.f32 (.f32 1/2 (PI.f32))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) 0) (tan.f32 (.f32 1/2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) 2) (neg.f32 (tan.f32 (.f32 1/2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) 2) (-.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) 2) (+.f32 (tan.f32 (.f32 1/2 (PI.f32))) (.f32 (tan.f32 (.f32 1/2 (PI.f32))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 1/2 (tan.f32 (.f32 1/2 (PI.f32)))) (.f32 1/2 (tan.f32 (.f32 1/2 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Outputs

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simplify66.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1118×	`rational.json-simplify-21`
1102×	`rational.json-simplify-42`
1020×	`rational.json-simplify-13`
970×	`rational.json-simplify-2`
894×	`rational.json-simplify-14`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	2586
1	407	2586
2	1949	2586

Stop Event

1×	node limit

Counts

102 → 81

Calls

Call 1

Inputs
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))
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Outputs
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(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))
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(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))
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(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))
(/.f32 1/2 (/.f32 -1 (-.f32 (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))
(/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 1)
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))
(/.f32 1 (/.f32 1 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))
(/.f32 -1 (/.f32 1 (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))
(/.f32 (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) -1)
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))
(/.f32 (-.f32 (-.f32 (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))) -1)
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))
(neg.f32 (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))

localize426.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))))
	0.4b	(.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))
	11.4b	(tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))
	11.8b	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))))))

Compiler

Compiled 609 to 370 computations (39.2% saved)

localize437.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	10.0b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))
	11.4b	(tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))
	11.8b	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))))))
	31.7b	(tan.f32 (*.f32 1/2 (PI.f32)))

Compiler

Compiled 582 to 356 computations (38.8% saved)

series7.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	alphay	@	-inf	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))
2.0ms	alphay	@	0	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))
1.0ms	alphax	@	0	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))
0.0ms	alphax	@	inf	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))
0.0ms	alphax	@	-inf	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))

rewrite64.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

756×	`rational.json-simplify-6`
734×	`rational.json-simplify-5`
648×	`rational.json-simplify-4`
636×	`rational.json-simplify-24`
632×	`rational.json-simplify-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	67	25
2	208	25
3	1061	25

Stop Event

1×	node limit

Counts

1 → 182

Calls

Call 1

Inputs
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)) (/.f32 0 alphax))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)) (*.f32 alphay (/.f32 0 alphax)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)) (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)) (*.f32 (/.f32 alphay alphax) (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)) (*.f32 0 (-.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)) (*.f32 0 (-.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)) (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 0 alphax)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)) (-.f32 alphay alphay))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)) (+.f32 0 (*.f32 0 (-.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)) (+.f32 0 (*.f32 0 (-.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)) (+.f32 0 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 0 alphax))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)) (+.f32 (*.f32 alphay (/.f32 0 alphax)) (*.f32 0 (-.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)) (+.f32 (*.f32 alphay (/.f32 0 alphax)) (*.f32 0 (-.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)) (+.f32 (*.f32 alphay (/.f32 0 alphax)) (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 0 alphax))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)) (+.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 0) (*.f32 0 (-.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)) (+.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 0) (*.f32 0 (-.f32 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(-.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))) (*.f32 alphay (/.f32 0 alphax))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)) (-.f32 (*.f32 0 (-.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32))))) (*.f32 alphay (/.f32 0 alphax))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)) (-.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 0 alphax)) (*.f32 alphay (/.f32 0 alphax))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)) (-.f32 (*.f32 0 (-.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))) (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)) (-.f32 (*.f32 0 (-.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32))))) (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)) (-.f32 (*.f32 0 (-.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))) (*.f32 (/.f32 alphay alphax) (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)) (-.f32 (*.f32 0 (-.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32))))) (*.f32 (/.f32 alphay alphax) (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)) (-.f32 (*.f32 0 (-.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))) (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 0 alphax))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)) (-.f32 (*.f32 0 (-.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32))))) (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 0 alphax))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)) (-.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 0 alphax)) (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 0 alphax))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)) (/.f32 (-.f32 alphay alphay) (/.f32 1 (tan.f32 (*.f32 1/2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)) (/.f32 0 (*.f32 2 (/.f32 alphax (tan.f32 (*.f32 1/2 (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)) (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (-.f32 alphay alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)) (*.f32 1 (*.f32 0 (-.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)) (*.f32 1 (*.f32 0 (-.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)) (*.f32 (+.f32 alphay alphay) (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)) (*.f32 (*.f32 1/2 (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)) (*.f32 (*.f32 alphay (tan.f32 (*.f32 1/2 (PI.f32)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)) (*.f32 (*.f32 alphay (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 alphay alphax) (neg.f32 (tan.f32 (*.f32 1/2 (PI.f32))))) (*.f32 (/.f32 alphay alphax) (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 alphay (/.f32 0 alphax)) (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 0) (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 alphay alphax) (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 2)) (*.f32 (/.f32 alphay alphax) (neg.f32 (tan.f32 (*.f32 1/2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 alphay alphax) (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 2)) (-.f32 (*.f32 (/.f32 alphay alphax) (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 2)) (*.f32 (/.f32 alphay alphax) (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 alphay alphax) (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 0)) (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (-.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))) (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (-.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32))))) (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 0 alphax)) (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 alphay (*.f32 1/2 (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax))) (*.f32 alphay (*.f32 1/2 (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 alphay (*.f32 1/2 (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax))) (*.f32 (*.f32 1/2 (/.f32 (tan.f32 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(PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax) (/.f32 1 alphay))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1/2 (tan.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphax (+.f32 alphay alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 alphay (*.f32 1/2 (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 alphay (/.f32 1/2 alphax)) (/.f32 1/2 (tan.f32 (*.f32 1/2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 alphay (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 2)) (+.f32 alphax alphax))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (neg.f32 alphay) alphay) (*.f32 -1 (*.f32 2 (/.f32 alphax (tan.f32 (*.f32 1/2 (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 1/2) (/.f32 alphax (*.f32 alphay 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (neg.f32 (+.f32 alphay alphay)) (/.f32 1 (tan.f32 (*.f32 1/2 (PI.f32))))) (/.f32 alphax -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 (/.f32 alphax (tan.f32 (*.f32 1/2 (PI.f32))))) (/.f32 1 alphay))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (-.f32 (neg.f32 alphay) alphay) (*.f32 2 (/.f32 alphax (tan.f32 (*.f32 1/2 (PI.f32)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 1/2 (PI.f32)))) 1/2) (+.f32 alphax alphax))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (-.f32 alphay alphay) (*.f32 alphay (tan.f32 (*.f32 1/2 (PI.f32))))) (neg.f32 alphax))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 1/2 (PI.f32)))) (-.f32 (neg.f32 alphax) alphax)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 alphay (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 2)) 1/2) (/.f32 alphax 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (-.f32 (*.f32 (/.f32 alphay alphax) (neg.f32 (tan.f32 (*.f32 1/2 (PI.f32))))) (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax))) (*.f32 (/.f32 alphay alphax) (neg.f32 (tan.f32 (*.f32 1/2 (PI.f32)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (/.f32 alphay alphax) (neg.f32 (tan.f32 (*.f32 1/2 (PI.f32))))))))))

simplify119.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1574×	`rational.json-simplify-21`
1198×	`rational.json-simplify-1`
712×	`rational.json-simplify-67`
614×	`rational.json-simplify-27`
612×	`rational.json-simplify-13`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	380	8066
1	1439	7258
2	6599	7136

Stop Event

1×	node limit

Counts

206 → 247

Calls

Call 1

Inputs
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) 0)
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (/.f32 0 alphax))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (*.f32 alphay (/.f32 0 alphax)))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (.f32 (tan.f32 (.f32 1/2 (PI.f32))) 0))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (.f32 (/.f32 alphay alphax) (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 0)))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (.f32 0 (-.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (.f32 0 (-.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 0 alphax)))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (-.f32 alphay alphay))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (+.f32 0 (.f32 0 (-.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (+.f32 0 (.f32 0 (-.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (+.f32 0 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 0 alphax))))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (+.f32 (.f32 alphay (/.f32 0 alphax)) (.f32 0 (-.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (+.f32 (.f32 alphay (/.f32 0 alphax)) (.f32 0 (-.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (+.f32 (.f32 alphay (/.f32 0 alphax)) (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 0 alphax))))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (+.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) 0) (.f32 0 (-.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (+.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) 0) (.f32 0 (-.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (+.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) 0) (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 0 alphax))))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (-.f32 0 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 0 alphax))))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (-.f32 (.f32 alphay (/.f32 0 alphax)) (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 0 alphax))))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (-.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) 0) (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 0 alphax))))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (-.f32 (.f32 0 (-.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))) (*.f32 alphay (/.f32 0 alphax))))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (-.f32 (.f32 0 (-.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))) (*.f32 alphay (/.f32 0 alphax))))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (-.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 0 alphax)) (*.f32 alphay (/.f32 0 alphax))))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (-.f32 (.f32 0 (-.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))) (.f32 (tan.f32 (.f32 1/2 (PI.f32))) 0)))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (-.f32 (.f32 0 (-.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))) (.f32 (tan.f32 (.f32 1/2 (PI.f32))) 0)))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (-.f32 (.f32 0 (-.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))) (.f32 (/.f32 alphay alphax) (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 0))))
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(/.f32 (/.f32 1/2 alphax) (/.f32 (/.f32 1/2 alphay) (tan.f32 (*.f32 1/2 (PI.f32)))))
(/.f32 (/.f32 1/2 alphax) (/.f32 (/.f32 1 (tan.f32 (*.f32 1/2 (PI.f32)))) (+.f32 alphay alphay)))
(/.f32 (/.f32 1/2 alphax) (.f32 (/.f32 1/2 alphay) (/.f32 1 (tan.f32 (.f32 1/2 (PI.f32))))))
(/.f32 -1 (/.f32 alphax (.f32 alphay (neg.f32 (tan.f32 (.f32 1/2 (PI.f32)))))))
(/.f32 -1 (.f32 (/.f32 alphax (neg.f32 alphay)) (/.f32 1 (tan.f32 (.f32 1/2 (PI.f32))))))
(/.f32 -1 (/.f32 (/.f32 alphax -1/2) (.f32 alphay (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 2))))
(/.f32 -1 (/.f32 (-.f32 (neg.f32 alphax) alphax) (.f32 alphay (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 2))))
(/.f32 (neg.f32 (tan.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphax (neg.f32 alphay)))
(/.f32 (neg.f32 alphay) (/.f32 (neg.f32 alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))
(/.f32 (neg.f32 alphay) (.f32 -1 (/.f32 alphax (tan.f32 (.f32 1/2 (PI.f32))))))
(/.f32 (neg.f32 alphay) (neg.f32 (/.f32 alphax (tan.f32 (*.f32 1/2 (PI.f32))))))
(/.f32 (/.f32 alphay (neg.f32 alphax)) (/.f32 -1 (tan.f32 (*.f32 1/2 (PI.f32)))))
(/.f32 (/.f32 alphay (neg.f32 alphax)) (/.f32 1 (neg.f32 (tan.f32 (*.f32 1/2 (PI.f32))))))
(/.f32 (.f32 (/.f32 alphay alphax) (neg.f32 (tan.f32 (.f32 1/2 (PI.f32))))) -1)
(/.f32 (.f32 1/2 (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (/.f32 1/2 alphay))
(/.f32 (/.f32 1 alphax) (/.f32 (/.f32 1 (tan.f32 (*.f32 1/2 (PI.f32)))) alphay))
(/.f32 (/.f32 1 alphax) (/.f32 (/.f32 1 alphay) (tan.f32 (*.f32 1/2 (PI.f32)))))
(/.f32 (/.f32 1 alphax) (/.f32 1 (.f32 alphay (tan.f32 (.f32 1/2 (PI.f32))))))
(/.f32 (/.f32 1 alphax) (/.f32 -1 (.f32 alphay (neg.f32 (tan.f32 (.f32 1/2 (PI.f32)))))))
(/.f32 -1/2 (/.f32 (neg.f32 alphax) (.f32 alphay (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 2))))
(/.f32 (.f32 alphay (tan.f32 (.f32 1/2 (PI.f32)))) alphax)
(/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) 2) (/.f32 alphax (*.f32 alphay 1/2)))
(/.f32 (/.f32 (+.f32 alphay alphay) alphax) (/.f32 (/.f32 1 (tan.f32 (*.f32 1/2 (PI.f32)))) 1/2))
(/.f32 (.f32 (/.f32 alphay alphax) (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 2)) 2)
(/.f32 (.f32 alphay (neg.f32 (tan.f32 (.f32 1/2 (PI.f32))))) (neg.f32 alphax))
(/.f32 (neg.f32 (+.f32 alphay alphay)) (.f32 -1 (.f32 2 (/.f32 alphax (tan.f32 (*.f32 1/2 (PI.f32)))))))
(/.f32 (neg.f32 (+.f32 alphay alphay)) (.f32 (/.f32 alphax -1/2) (/.f32 1 (tan.f32 (.f32 1/2 (PI.f32))))))
(/.f32 (neg.f32 (+.f32 alphay alphay)) (neg.f32 (.f32 2 (/.f32 alphax (tan.f32 (.f32 1/2 (PI.f32)))))))
(/.f32 (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax) (/.f32 1 alphay))
(/.f32 (.f32 1/2 (tan.f32 (.f32 1/2 (PI.f32)))) (/.f32 alphax (+.f32 alphay alphay)))
(/.f32 (.f32 alphay (.f32 1/2 (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax))) 1/2)
(/.f32 (.f32 alphay (/.f32 1/2 alphax)) (/.f32 1/2 (tan.f32 (.f32 1/2 (PI.f32)))))
(/.f32 (.f32 alphay (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 2)) (+.f32 alphax alphax))
(/.f32 (-.f32 (neg.f32 alphay) alphay) (.f32 -1 (.f32 2 (/.f32 alphax (tan.f32 (*.f32 1/2 (PI.f32)))))))
(/.f32 (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) 1/2) (/.f32 alphax (.f32 alphay 1/2)))
(/.f32 (/.f32 (neg.f32 (+.f32 alphay alphay)) (/.f32 1 (tan.f32 (*.f32 1/2 (PI.f32))))) (/.f32 alphax -1/2))
(/.f32 (/.f32 1 (/.f32 alphax (tan.f32 (*.f32 1/2 (PI.f32))))) (/.f32 1 alphay))
(/.f32 (/.f32 (-.f32 (neg.f32 alphay) alphay) (.f32 2 (/.f32 alphax (tan.f32 (.f32 1/2 (PI.f32)))))) -1)
(/.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 1/2 (PI.f32)))) 1/2) (+.f32 alphax alphax))
(/.f32 (-.f32 (-.f32 alphay alphay) (.f32 alphay (tan.f32 (.f32 1/2 (PI.f32))))) (neg.f32 alphax))
(/.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 1/2 (PI.f32)))) (-.f32 (neg.f32 alphax) alphax)) -1/2)
(/.f32 (/.f32 (.f32 alphay (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 2)) 1/2) (/.f32 alphax 1/4))
(/.f32 (-.f32 (-.f32 (.f32 (/.f32 alphay alphax) (neg.f32 (tan.f32 (.f32 1/2 (PI.f32))))) (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax))) (.f32 (/.f32 alphay alphax) (neg.f32 (tan.f32 (.f32 1/2 (PI.f32)))))) -1)
(neg.f32 (.f32 (/.f32 alphay alphax) (neg.f32 (tan.f32 (.f32 1/2 (PI.f32))))))

Outputs
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) 0)
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (/.f32 0 alphax))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (*.f32 alphay (/.f32 0 alphax)))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (.f32 (tan.f32 (.f32 1/2 (PI.f32))) 0))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (.f32 (/.f32 alphay alphax) (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 0)))
(+.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)) (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (*.f32 (/.f32 alphay alphax) 0)))
(.f32 (/.f32 alphay alphax) (+.f32 (tan.f32 (.f32 1/2 (PI.f32))) (.f32 (tan.f32 (.f32 1/2 (PI.f32))) 0)))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (.f32 0 (-.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (.f32 0 (-.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 0 alphax)))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (-.f32 alphay alphay))
(+.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)) (-.f32 alphay alphay))
(+.f32 alphay (-.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)) alphay))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (+.f32 0 (.f32 0 (-.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (+.f32 0 (.f32 0 (-.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (+.f32 0 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 0 alphax))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (+.f32 (.f32 alphay (/.f32 0 alphax)) (.f32 0 (-.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (+.f32 (.f32 alphay (/.f32 0 alphax)) (.f32 0 (-.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (+.f32 (.f32 alphay (/.f32 0 alphax)) (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 0 alphax))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (+.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) 0) (.f32 0 (-.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
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(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (-.f32 (.f32 2 (/.f32 (+.f32 alphay alphay) alphax)) (.f32 (/.f32 alphay alphax) 3)))
(-.f32 (/.f32 (.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) 2) 2) (/.f32 alphax alphay)) (/.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 3) (/.f32 alphax alphay)))
(+.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (.f32 (/.f32 alphay alphax) 2)) (-.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (.f32 (/.f32 alphay alphax) 2)) (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (*.f32 (/.f32 alphay alphax) 3))))
(.f32 (/.f32 alphay alphax) (-.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) 4) (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 3)))
(-.f32 (/.f32 (.f32 alphay 3) (.f32 2 (/.f32 alphax (tan.f32 (.f32 1/2 (PI.f32)))))) (.f32 alphay (.f32 1/2 (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax))))
(-.f32 (/.f32 (/.f32 (.f32 alphay 3) 2) (/.f32 alphax (tan.f32 (.f32 1/2 (PI.f32))))) (.f32 1/2 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))
(.f32 1/2 (/.f32 (-.f32 (.f32 alphay 3) alphay) (/.f32 alphax (tan.f32 (*.f32 1/2 (PI.f32))))))
(-.f32 (.f32 (/.f32 0 alphax) (neg.f32 (tan.f32 (.f32 1/2 (PI.f32))))) (.f32 (/.f32 alphay alphax) (neg.f32 (tan.f32 (.f32 1/2 (PI.f32))))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(-.f32 (.f32 (.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) 2) 2) (/.f32 alphay alphax)) (.f32 (/.f32 alphay alphax) (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 3)))
(+.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (.f32 (/.f32 alphay alphax) 2)) (-.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (.f32 (/.f32 alphay alphax) 2)) (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (*.f32 (/.f32 alphay alphax) 3))))
(.f32 (/.f32 alphay alphax) (-.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) 4) (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 3)))
(-.f32 (.f32 (.f32 (/.f32 alphay alphax) (.f32 (tan.f32 (.f32 1/2 (PI.f32))) 3)) 1/2) (.f32 1/2 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax))))
(-.f32 (/.f32 (/.f32 (.f32 alphay 3) 2) (/.f32 alphax (tan.f32 (.f32 1/2 (PI.f32))))) (.f32 1/2 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))
(.f32 1/2 (/.f32 (-.f32 (.f32 alphay 3) alphay) (/.f32 alphax (tan.f32 (*.f32 1/2 (PI.f32))))))
(-.f32 (.f32 (.f32 (/.f32 (+.f32 alphay alphay) alphax) 2) (tan.f32 (.f32 1/2 (PI.f32)))) (.f32 (/.f32 alphay alphax) (.f32 (tan.f32 (.f32 1/2 (PI.f32))) 3)))
(/.f32 (-.f32 (.f32 2 (/.f32 (+.f32 alphay alphay) alphax)) (.f32 (/.f32 alphay alphax) 3)) (/.f32 1 (tan.f32 (*.f32 1/2 (PI.f32)))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (-.f32 (.f32 2 (/.f32 (+.f32 alphay alphay) alphax)) (.f32 (/.f32 alphay alphax) 3)))
(-.f32 (.f32 (.f32 alphay (/.f32 0 alphax)) -1) (.f32 (/.f32 alphay alphax) (neg.f32 (tan.f32 (.f32 1/2 (PI.f32))))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(-.f32 (.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) 0) -1) (.f32 (/.f32 alphay alphax) (neg.f32 (tan.f32 (*.f32 1/2 (PI.f32))))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(-.f32 (.f32 (.f32 alphay 3) (.f32 1/2 (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax))) (.f32 (.f32 1/2 (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)) alphay))
(-.f32 (/.f32 (/.f32 (.f32 alphay 3) 2) (/.f32 alphax (tan.f32 (.f32 1/2 (PI.f32))))) (.f32 1/2 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))
(.f32 1/2 (/.f32 (-.f32 (.f32 alphay 3) alphay) (/.f32 alphax (tan.f32 (*.f32 1/2 (PI.f32))))))
(/.f32 alphay (/.f32 alphax (tan.f32 (*.f32 1/2 (PI.f32)))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 alphay (.f32 -1 (/.f32 (neg.f32 alphax) (tan.f32 (.f32 1/2 (PI.f32))))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 alphay (neg.f32 (/.f32 (neg.f32 alphax) (tan.f32 (*.f32 1/2 (PI.f32))))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (/.f32 alphay alphax) (/.f32 1 (tan.f32 (*.f32 1/2 (PI.f32)))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (/.f32 alphay alphax) (neg.f32 (/.f32 -1 (tan.f32 (*.f32 1/2 (PI.f32))))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 1/2 (/.f32 (/.f32 alphax alphay) (.f32 (tan.f32 (.f32 1/2 (PI.f32))) 2)))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 1/2 (/.f32 (/.f32 1 (tan.f32 (*.f32 1/2 (PI.f32)))) (/.f32 (+.f32 alphay alphay) alphax)))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 1/2 (/.f32 (/.f32 1/2 (tan.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay alphax)))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 1/2 (/.f32 (/.f32 alphax (+.f32 alphay alphay)) (tan.f32 (*.f32 1/2 (PI.f32)))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 1/2 (.f32 (/.f32 1/2 alphay) (/.f32 alphax (tan.f32 (.f32 1/2 (PI.f32))))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 1/2 (.f32 (/.f32 alphax (+.f32 alphay alphay)) (/.f32 1 (tan.f32 (.f32 1/2 (PI.f32))))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 1/2 (/.f32 alphax (.f32 alphay (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 2))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 1/2 (/.f32 1 (.f32 (/.f32 alphay alphax) (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 2))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 1/2 (/.f32 -1 (-.f32 (.f32 (/.f32 alphay alphax) (neg.f32 (tan.f32 (.f32 1/2 (PI.f32))))) (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) 1)
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 1 (/.f32 alphax (.f32 alphay (tan.f32 (.f32 1/2 (PI.f32))))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (+.f32 alphay alphay) (.f32 2 (/.f32 alphax (tan.f32 (.f32 1/2 (PI.f32))))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (+.f32 alphay alphay) (/.f32 (neg.f32 alphax) (.f32 (tan.f32 (.f32 1/2 (PI.f32))) -1/2)))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (+.f32 alphay alphay) (/.f32 (/.f32 1 (tan.f32 (*.f32 1/2 (PI.f32)))) (/.f32 1/2 alphax)))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (+.f32 alphay alphay) (/.f32 alphax (.f32 1/2 (tan.f32 (.f32 1/2 (PI.f32))))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (+.f32 alphay alphay) (/.f32 1 (.f32 1/2 (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (/.f32 1/2 alphax) (/.f32 (/.f32 1/2 alphay) (tan.f32 (*.f32 1/2 (PI.f32)))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (/.f32 1/2 alphax) (/.f32 (/.f32 1 (tan.f32 (*.f32 1/2 (PI.f32)))) (+.f32 alphay alphay)))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (/.f32 1/2 alphax) (.f32 (/.f32 1/2 alphay) (/.f32 1 (tan.f32 (.f32 1/2 (PI.f32))))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 -1 (/.f32 alphax (.f32 alphay (neg.f32 (tan.f32 (.f32 1/2 (PI.f32)))))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 -1 (.f32 (/.f32 alphax (neg.f32 alphay)) (/.f32 1 (tan.f32 (.f32 1/2 (PI.f32))))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 -1 (/.f32 (/.f32 alphax -1/2) (.f32 alphay (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 2))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 -1 (/.f32 (-.f32 (neg.f32 alphax) alphax) (.f32 alphay (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 2))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (neg.f32 (tan.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphax (neg.f32 alphay)))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (neg.f32 alphay) (/.f32 (neg.f32 alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (neg.f32 alphay) (.f32 -1 (/.f32 alphax (tan.f32 (.f32 1/2 (PI.f32))))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (neg.f32 alphay) (neg.f32 (/.f32 alphax (tan.f32 (*.f32 1/2 (PI.f32))))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (/.f32 alphay (neg.f32 alphax)) (/.f32 -1 (tan.f32 (*.f32 1/2 (PI.f32)))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (/.f32 alphay (neg.f32 alphax)) (/.f32 1 (neg.f32 (tan.f32 (*.f32 1/2 (PI.f32))))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (.f32 (/.f32 alphay alphax) (neg.f32 (tan.f32 (.f32 1/2 (PI.f32))))) -1)
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (.f32 1/2 (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)) (/.f32 1/2 alphay))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (/.f32 1 alphax) (/.f32 (/.f32 1 (tan.f32 (*.f32 1/2 (PI.f32)))) alphay))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (/.f32 1 alphax) (/.f32 (/.f32 1 alphay) (tan.f32 (*.f32 1/2 (PI.f32)))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (/.f32 1 alphax) (/.f32 1 (.f32 alphay (tan.f32 (.f32 1/2 (PI.f32))))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (/.f32 1 alphax) (/.f32 -1 (.f32 alphay (neg.f32 (tan.f32 (.f32 1/2 (PI.f32)))))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 -1/2 (/.f32 (neg.f32 alphax) (.f32 alphay (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 2))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (.f32 alphay (tan.f32 (.f32 1/2 (PI.f32)))) alphax)
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) 2) (/.f32 alphax (*.f32 alphay 1/2)))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (/.f32 (+.f32 alphay alphay) alphax) (/.f32 (/.f32 1 (tan.f32 (*.f32 1/2 (PI.f32)))) 1/2))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (.f32 (/.f32 alphay alphax) (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 2)) 2)
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (.f32 alphay (neg.f32 (tan.f32 (.f32 1/2 (PI.f32))))) (neg.f32 alphax))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (neg.f32 (+.f32 alphay alphay)) (.f32 -1 (.f32 2 (/.f32 alphax (tan.f32 (*.f32 1/2 (PI.f32)))))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (neg.f32 (+.f32 alphay alphay)) (.f32 (/.f32 alphax -1/2) (/.f32 1 (tan.f32 (.f32 1/2 (PI.f32))))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (neg.f32 (+.f32 alphay alphay)) (neg.f32 (.f32 2 (/.f32 alphax (tan.f32 (.f32 1/2 (PI.f32)))))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax) (/.f32 1 alphay))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (.f32 1/2 (tan.f32 (.f32 1/2 (PI.f32)))) (/.f32 alphax (+.f32 alphay alphay)))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (.f32 alphay (.f32 1/2 (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax))) 1/2)
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (.f32 alphay (/.f32 1/2 alphax)) (/.f32 1/2 (tan.f32 (.f32 1/2 (PI.f32)))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (.f32 alphay (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 2)) (+.f32 alphax alphax))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (-.f32 (neg.f32 alphay) alphay) (.f32 -1 (.f32 2 (/.f32 alphax (tan.f32 (*.f32 1/2 (PI.f32)))))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) 1/2) (/.f32 alphax (.f32 alphay 1/2)))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (/.f32 (neg.f32 (+.f32 alphay alphay)) (/.f32 1 (tan.f32 (*.f32 1/2 (PI.f32))))) (/.f32 alphax -1/2))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (/.f32 1 (/.f32 alphax (tan.f32 (*.f32 1/2 (PI.f32))))) (/.f32 1 alphay))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (/.f32 (-.f32 (neg.f32 alphay) alphay) (.f32 2 (/.f32 alphax (tan.f32 (.f32 1/2 (PI.f32)))))) -1)
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 1/2 (PI.f32)))) 1/2) (+.f32 alphax alphax))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (-.f32 (-.f32 alphay alphay) (.f32 alphay (tan.f32 (.f32 1/2 (PI.f32))))) (neg.f32 alphax))
(/.f32 (-.f32 (.f32 alphay (tan.f32 (.f32 1/2 (PI.f32)))) (-.f32 alphay alphay)) alphax)
(/.f32 (-.f32 alphay (-.f32 alphay (.f32 alphay (tan.f32 (.f32 1/2 (PI.f32)))))) alphax)
(/.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 1/2 (PI.f32)))) (-.f32 (neg.f32 alphax) alphax)) -1/2)
(/.f32 (.f32 alphay (tan.f32 (.f32 1/2 (PI.f32)))) (*.f32 (-.f32 (neg.f32 alphax) alphax) -1/2))
(.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) (*.f32 -1/2 (-.f32 (neg.f32 alphax) alphax))))
(.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) (*.f32 -1/2 (/.f32 alphax -1/2))))
(/.f32 (/.f32 (.f32 alphay (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 2)) 1/2) (/.f32 alphax 1/4))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(/.f32 (-.f32 (-.f32 (.f32 (/.f32 alphay alphax) (neg.f32 (tan.f32 (.f32 1/2 (PI.f32))))) (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax))) (.f32 (/.f32 alphay alphax) (neg.f32 (tan.f32 (.f32 1/2 (PI.f32)))))) -1)
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
(neg.f32 (.f32 (/.f32 alphay alphax) (neg.f32 (tan.f32 (.f32 1/2 (PI.f32))))))
(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))

eval9.4s (17.4%)

Compiler: Compiled 261929 to 167450 computations (36.1% saved)

prune4.0s (7.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	2871	3	2874
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	2872	6	2878

Error

0.2b

Counts

2878 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (.f32 alphay alphay))))))))
✓	0.6b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))) (*.f32 alphay alphay))))))))
✓	1.0b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (.f32 2 (PI.f32))))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (.f32 alphay alphay))))))))
▶	1.3b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (.f32 2 (PI.f32))))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))) (*.f32 alphay alphay))))))))
▶	2.3b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (.f32 2 (PI.f32))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (.f32 2 (PI.f32))))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (.f32 alphay alphay))))))))
▶	0.8b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (.f32 2 (PI.f32))))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (*.f32 alphay alphay))))))))

Compiler

Compiled 470 to 329 computations (30% saved)

localize474.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	10.0b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))
	11.4b	(tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))
	29.7b	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))))
	31.7b	(tan.f32 (*.f32 1/2 (PI.f32)))

Compiler

Compiled 605 to 363 computations (40% saved)

localize425.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (.f32 2 (PI.f32))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (.f32 2 (PI.f32))))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (.f32 alphay alphay)))))
	0.4b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))))
	0.4b	(.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))
	11.4b	(tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))

Compiler

Compiled 583 to 349 computations (40.1% saved)

series35.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
10.0ms	u1	@	-inf	(/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (.f32 2 (PI.f32))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (.f32 2 (PI.f32))))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (.f32 alphay alphay)))))
4.0ms	u1	@	inf	(/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (.f32 2 (PI.f32))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (.f32 2 (PI.f32))))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (.f32 alphay alphay)))))
3.0ms	u1	@	0	(/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (.f32 2 (PI.f32))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (.f32 2 (PI.f32))))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (.f32 alphay alphay)))))
3.0ms	alphax	@	inf	(/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (.f32 2 (PI.f32))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (.f32 2 (PI.f32))))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (.f32 alphay alphay)))))
3.0ms	alphax	@	-inf	(/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (.f32 2 (PI.f32))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (.f32 2 (PI.f32))))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (.f32 alphay alphay)))))

rewrite125.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1130×	`rational.json-simplify-35`
894×	`rational.json-simplify-40`
494×	`rational.json-simplify-43`
482×	`rational.json-1`
482×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	225
1	235	225
2	989	225
3	6477	225

Stop Event

1×	node limit

Counts

1 → 88

Calls

Call 1

Inputs

(/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 u1 (*.f32 2 (PI.f32))))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 u1 (*.f32 2 (PI.f32))))))) (*.f32 alphax alphax))) (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1))))))) (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1))))))) (*.f32 alphay alphay)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 u0 (*.f32 (-.f32 1 u0) (+.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))) (*.f32 alphax alphax))) (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (*.f32 alphay alphay)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 u0 (*.f32 (-.f32 1 u0) (+.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))) (*.f32 alphax alphax))) (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (*.f32 alphay alphay)))))) (/.f32 0 (*.f32 (-.f32 1 u0) (+.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))) (*.f32 alphax alphax))) (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (*.f32 alphay alphay)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 u0 (*.f32 (-.f32 1 u0) (+.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))) (*.f32 alphax alphax))) (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (*.f32 alphay alphay)))))) (/.f32 0 (+.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))) (*.f32 alphax alphax))) (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (*.f32 alphay alphay))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 u0 (*.f32 (-.f32 1 u0) (+.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))) (*.f32 alphax alphax))) (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (*.f32 alphay alphay)))))) (/.f32 0 (+.f32 u0 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 u0 (*.f32 (-.f32 1 u0) (+.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))) (*.f32 alphax alphax))) (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (*.f32 alphay alphay)))))) (+.f32 0 (/.f32 0 (*.f32 (-.f32 1 u0) (+.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))) (*.f32 alphax alphax))) (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (*.f32 alphay alphay))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 u0 (*.f32 (-.f32 1 u0) (+.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))) (*.f32 alphax alphax))) (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (*.f32 alphay alphay)))))) (+.f32 0 (/.f32 0 (+.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 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(*.f32 (/.f32 u0 (-.f32 1 u0)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 (/.f32 u0 (-.f32 1 u0)) 2) (*.f32 (/.f32 u0 (-.f32 1 u0)) 2)) (/.f32 1/2 (*.f32 (+.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))) (*.f32 alphax alphax))) (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (*.f32 alphay alphay)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 (/.f32 u0 (-.f32 1 u0)) 2) (*.f32 (/.f32 u0 (-.f32 1 u0)) 2)) (-.f32 (/.f32 1/2 (+.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 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u1 u1))))))) (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (*.f32 alphay alphay)))))) (neg.f32 (/.f32 1/2 (-.f32 1 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (/.f32 u0 (*.f32 (-.f32 1 u0) (+.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))) (*.f32 alphax alphax))) (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (*.f32 alphay alphay))))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (neg.f32 (/.f32 u0 (-.f32 1 u0))) (+.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 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simplify399.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1200×	`rational.json-simplify-4`
1066×	`rational.json-simplify-3`
958×	`rational.json-simplify-21`
872×	`rational.json-simplify-23`
850×	`rational.json-simplify-12`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	328	32746
1	999	31382
2	4272	31382

Stop Event

1×	node limit

Counts

136 → 171

Calls

Call 1

Inputs
(/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))))
(+.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)))) (/.f32 (pow.f32 u0 2) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)))))
(+.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)))) (+.f32 (/.f32 (pow.f32 u0 2) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)))) (/.f32 (pow.f32 u0 3) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))))))
(+.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)))) (+.f32 (/.f32 (pow.f32 u0 2) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)))) (+.f32 (/.f32 (pow.f32 u0 4) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)))) (/.f32 (pow.f32 u0 3) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)))))))
(/.f32 -1 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))))
(neg.f32 (+.f32 (/.f32 1 (.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))))) (/.f32 1 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))))))
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(neg.f32 (neg.f32 (/.f32 u0 (.f32 (-.f32 1 u0) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (*.f32 alphay alphay))))))))
(neg.f32 (/.f32 (neg.f32 (/.f32 u0 (-.f32 1 u0))) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (.f32 alphay alphay))))))
(neg.f32 (/.f32 u0 (.f32 (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (*.f32 alphay alphay)))) (+.f32 u0 -1))))

Outputs
(/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))))
(/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))) alphax)))) 2) (pow.f32 alphay 2))))
(/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))) alphax)))) 2) (pow.f32 alphay 2))))
(/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))
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(+.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))) alphax)))) 2) (pow.f32 alphay 2)))) (/.f32 (+.f32 (pow.f32 u0 2) (pow.f32 u0 3)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))) alphax)))) 2) (pow.f32 alphay 2)))))
(/.f32 (+.f32 u0 (+.f32 (pow.f32 u0 2) (pow.f32 u0 3))) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))) alphax)))) 2) (pow.f32 alphay 2))))
(/.f32 (+.f32 u0 (+.f32 (pow.f32 u0 2) (pow.f32 u0 3))) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))
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(+.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)))) (/.f32 (+.f32 (pow.f32 u0 4) (+.f32 (pow.f32 u0 2) (pow.f32 u0 3))) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)))))
(/.f32 -1 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))))
(/.f32 -1 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))) alphax)))) 2) (pow.f32 alphay 2))))
(/.f32 -1 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))) alphax)))) 2) (pow.f32 alphay 2))))
(/.f32 -1 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))
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(/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2))))))) (.f32 alphay alphay)))))
(neg.f32 (neg.f32 (/.f32 u0 (.f32 (-.f32 1 u0) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (*.f32 alphay alphay))))))))
(/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))) (.f32 alphay alphay)))))
(/.f32 u0 (.f32 (-.f32 1 u0) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (*.f32 alphay alphay))))))
(/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2))))))) (.f32 alphay alphay)))))
(neg.f32 (/.f32 (neg.f32 (/.f32 u0 (-.f32 1 u0))) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (.f32 alphay alphay))))))
(/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))) (.f32 alphay alphay)))))
(/.f32 u0 (.f32 (-.f32 1 u0) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (*.f32 alphay alphay))))))
(/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2))))))) (.f32 alphay alphay)))))
(neg.f32 (/.f32 u0 (.f32 (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (*.f32 alphay alphay)))) (+.f32 u0 -1))))
(/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))) (.f32 alphay alphay)))))
(/.f32 u0 (.f32 (-.f32 1 u0) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (*.f32 alphay alphay))))))
(/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2))))))) (.f32 alphay alphay)))))

localize750.0ms (1.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	10.0b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))
	11.4b	(tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))
	11.8b	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))))))
	31.7b	(tan.f32 (*.f32 1/2 (PI.f32)))

Compiler

Compiled 615 to 369 computations (40% saved)

eval6.6s (12.2%)

Compiler: Compiled 212773 to 132124 computations (37.9% saved)

prune2.9s (5.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	2379	6	2385
Fresh	0	0	0
Picked	1	0	1
Done	2	3	5
Total	2382	9	2391

Error

0.2b

Counts

2391 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.6b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 (.f32 u0 (pow.f32 alphay 2)) (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))) alphax)))) 2)) (-.f32 1 u0)))))
▶	3.8b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 (.f32 u0 (pow.f32 alphax 2)) (-.f32 1 u0)) (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax)))) 2)))))
▶	2.3b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 u1 -2)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)))))))
✓	0.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (.f32 alphay alphay))))))))
✓	0.6b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))) (*.f32 alphay alphay))))))))
✓	1.0b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (.f32 2 (PI.f32))))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (.f32 alphay alphay))))))))
	4.3b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (.f32 2 (PI.f32))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (.f32 2 (PI.f32))))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (.f32 2 (PI.f32))))))) (.f32 alphay alphay))))))))
▶	2.4b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (.f32 2 (PI.f32))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (.f32 2 (PI.f32))))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))) (*.f32 alphay alphay))))))))
▶	2.4b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)))))))

Compiler

Compiled 884 to 651 computations (26.4% saved)

localize223.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))) alphax)))) 2)
✓	0.3b	(*.f32 u0 (pow.f32 alphay 2))
✓	0.4b	(.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))
✓	11.4b	(tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))

Compiler

Compiled 247 to 180 computations (27.1% saved)

series7.0ms (0%)

Counts

4 → 60

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	alphay	@	inf	(pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))) alphax)))) 2)
1.0ms	alphay	@	-inf	(pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))) alphax)))) 2)
1.0ms	alphax	@	-inf	(pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))) alphax)))) 2)
1.0ms	alphax	@	inf	(pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))) alphax)))) 2)
1.0ms	alphay	@	0	(pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))) alphax)))) 2)

rewrite80.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1216×	`rational.json-simplify-29`
1140×	`rational.json-simplify-42`
992×	`rational.json-1`
992×	`rational.json-2`
992×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	110
1	127	110
2	416	110
3	2257	110

Stop Event

1×	node limit

Counts

4 → 237

Calls

Call 1

Inputs
(tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))
(.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))
(*.f32 u0 (pow.f32 alphay 2))
(pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))) alphax)))) 2)

Outputs
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simplify148.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1396×	`rational.json-simplify-1`
1304×	`rational.json-simplify-21`
1076×	`rational.json-simplify-23`
596×	`rational.json-simplify-50`
510×	`rational.json-simplify-24`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	521	10405
1	1479	9981
2	5921	9969

Stop Event

1×	node limit

Counts

297 → 322

Calls

Call 1

Inputs
(/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32))))
(+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (.f32 (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2)))) u1))
(+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (+.f32 (.f32 2 (/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (pow.f32 u1 2) (.f32 (PI.f32) (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))))))) (cos.f32 (.f32 1/2 (PI.f32))))) (.f32 (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)))) u1)))
(+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (+.f32 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (+.f32 (.f32 4/3 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (PI.f32) 3)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))) (+.f32 (.f32 -4 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (.f32 (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2)))) (pow.f32 (PI.f32) 2))) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))) (.f32 -2 (.f32 (pow.f32 (PI.f32) 2) (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))))))))) (pow.f32 u1 3)) (+.f32 (.f32 2 (/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (pow.f32 u1 2) (.f32 (PI.f32) (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))))))) (cos.f32 (.f32 1/2 (PI.f32))))) (.f32 (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2)))) u1))))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))))
(/.f32 (sin.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32))) (cos.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32))))
(/.f32 (sin.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32))) (cos.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32))))
(/.f32 (sin.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32))) (cos.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32))))
(/.f32 (sin.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32))) (cos.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32))))
(*.f32 1/2 (PI.f32))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(.f32 2 (.f32 u1 (PI.f32)))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(.f32 2 (.f32 u1 (PI.f32)))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2)
(pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2)
(pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2)
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(+.f32 0 (tan.f32 (*.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))))
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(-.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) 0)
(-.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) 0))
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(-.f32 (.f32 u0 (neg.f32 (pow.f32 alphay 2))) (.f32 (neg.f32 u0) (*.f32 (pow.f32 alphay 2) 2)))
(-.f32 (-.f32 u0 u0) (*.f32 u0 (neg.f32 (pow.f32 alphay 2))))
(-.f32 (.f32 (pow.f32 alphay 2) 0) (.f32 u0 (neg.f32 (pow.f32 alphay 2))))
(-.f32 (.f32 u0 (.f32 (pow.f32 alphay 2) 2)) (*.f32 u0 (pow.f32 alphay 2)))
(-.f32 (neg.f32 (-.f32 u0 u0)) (*.f32 (neg.f32 u0) (pow.f32 alphay 2)))
(-.f32 (neg.f32 (-.f32 u0 u0)) (.f32 1 (.f32 (neg.f32 u0) (pow.f32 alphay 2))))
(-.f32 (.f32 0 (neg.f32 (pow.f32 alphay 2))) (.f32 (neg.f32 (pow.f32 alphay 2)) u0))
(-.f32 (.f32 0 (neg.f32 (pow.f32 alphay 2))) (.f32 1 (*.f32 (neg.f32 (pow.f32 alphay 2)) u0)))
(-.f32 (.f32 (.f32 u0 (.f32 (pow.f32 alphay 2) 2)) 2) (.f32 (pow.f32 alphay 2) (*.f32 u0 3)))
(-.f32 (.f32 (.f32 (pow.f32 alphay 2) (.f32 u0 3)) 1/2) (.f32 1/2 (*.f32 u0 (pow.f32 alphay 2))))
(-.f32 (.f32 (.f32 (.f32 (pow.f32 alphay 2) 2) 2) u0) (.f32 (pow.f32 alphay 2) (*.f32 u0 3)))
(-.f32 (.f32 (.f32 (+.f32 u0 u0) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 alphay 2) (.f32 u0 3)))
(-.f32 (.f32 (-.f32 u0 u0) -1) (.f32 -1 (*.f32 u0 (pow.f32 alphay 2))))
(-.f32 (.f32 (.f32 (pow.f32 alphay 2) 0) -1) (.f32 -1 (.f32 u0 (pow.f32 alphay 2))))
(/.f32 u0 (/.f32 1 (pow.f32 alphay 2)))
(/.f32 (pow.f32 alphay 2) (/.f32 1 u0))
(/.f32 (*.f32 u0 (pow.f32 alphay 2)) 1)
(/.f32 1 (/.f32 (/.f32 1 (pow.f32 alphay 2)) u0))
(/.f32 1 (/.f32 (/.f32 1 u0) (pow.f32 alphay 2)))
(/.f32 1 (/.f32 1 (*.f32 u0 (pow.f32 alphay 2))))
(/.f32 1 (/.f32 -1 (*.f32 u0 (neg.f32 (pow.f32 alphay 2)))))
(/.f32 (neg.f32 (pow.f32 alphay 2)) (neg.f32 (/.f32 1 u0)))
(/.f32 (*.f32 u0 (neg.f32 (pow.f32 alphay 2))) -1)
(/.f32 (neg.f32 u0) (neg.f32 (/.f32 1 (pow.f32 alphay 2))))
(/.f32 (*.f32 (neg.f32 u0) (pow.f32 alphay 2)) -1)
(/.f32 (*.f32 (neg.f32 (pow.f32 alphay 2)) u0) -1)
(/.f32 (-.f32 (+.f32 (.f32 u0 (neg.f32 (pow.f32 alphay 2))) (.f32 u0 (neg.f32 (pow.f32 alphay 2)))) (*.f32 u0 (neg.f32 (pow.f32 alphay 2)))) -1)
(/.f32 (-.f32 (+.f32 (.f32 u0 (neg.f32 (pow.f32 alphay 2))) (.f32 u0 (neg.f32 (pow.f32 alphay 2)))) (*.f32 (neg.f32 u0) (pow.f32 alphay 2))) -1)
(/.f32 (-.f32 (+.f32 (.f32 u0 (neg.f32 (pow.f32 alphay 2))) (.f32 u0 (neg.f32 (pow.f32 alphay 2)))) (*.f32 (neg.f32 (pow.f32 alphay 2)) u0)) -1)
(neg.f32 (*.f32 u0 (neg.f32 (pow.f32 alphay 2))))
(neg.f32 (*.f32 (neg.f32 u0) (pow.f32 alphay 2)))
(neg.f32 (*.f32 (neg.f32 (pow.f32 alphay 2)) u0))
(+.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2) 0)
(+.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2) 0))
(+.f32 0 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2))
(+.f32 (neg.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2) 2))
(+.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2) 2) (neg.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2)))
(+.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2) 0) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2))
(+.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2) 1/2) (.f32 1/2 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2)))
(-.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2) 0)
(-.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2) 0))
(-.f32 0 (neg.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2)))
(-.f32 0 (.f32 -1 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2)))
(-.f32 (neg.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2)) (.f32 -1 (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2) 2)))
(-.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2) 2) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2))
(-.f32 (.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2) 2) 2) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2) 3))
(-.f32 (.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2) 3) 1/2) (.f32 1/2 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2)))
(.f32 1/2 (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2) 2))
(.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2) 1)
(.f32 1 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2))
(.f32 -1 (neg.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2)))
(.f32 (neg.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2)) -1)
(.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2) 2) 1/2)
(.f32 (+.f32 (neg.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2)) (neg.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2))) -1/2)
(/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2) 1)
(/.f32 1 (/.f32 1 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2)))
(/.f32 1 (/.f32 -1 (neg.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2))))
(/.f32 (neg.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2)) -1)
(/.f32 (-.f32 (+.f32 (neg.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2)) (neg.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2))) (neg.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2))) -1)
(neg.f32 (neg.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2)))

Outputs
(/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32))))
(+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (.f32 (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2)))) u1))
(+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (.f32 (-.f32 (.f32 (PI.f32) 2) (.f32 -2 (.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))))) u1))
(+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (.f32 (-.f32 (.f32 (PI.f32) 2) (/.f32 -2 (/.f32 (/.f32 (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2)) (PI.f32)))) u1))
(+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (+.f32 (.f32 2 (/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (pow.f32 u1 2) (.f32 (PI.f32) (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))))))) (cos.f32 (.f32 1/2 (PI.f32))))) (.f32 (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)))) u1)))
(+.f32 (.f32 2 (.f32 (.f32 (PI.f32) (.f32 (pow.f32 u1 2) (-.f32 (.f32 (PI.f32) 2) (.f32 -2 (.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))))))) (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))))) (+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (.f32 (-.f32 (.f32 (PI.f32) 2) (.f32 -2 (.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2))))) u1)))
(+.f32 (.f32 (-.f32 (.f32 (PI.f32) 2) (/.f32 -2 (/.f32 (/.f32 (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2)) (PI.f32)))) u1) (+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (/.f32 2 (/.f32 (cos.f32 (.f32 1/2 (PI.f32))) (.f32 (pow.f32 u1 2) (.f32 (PI.f32) (.f32 (sin.f32 (.f32 1/2 (PI.f32))) (-.f32 (.f32 (PI.f32) 2) (/.f32 -2 (/.f32 (/.f32 (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2)) (PI.f32)))))))))))
(+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (+.f32 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (+.f32 (.f32 4/3 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (PI.f32) 3)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))) (+.f32 (.f32 -4 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (.f32 (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2)))) (pow.f32 (PI.f32) 2))) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))) (.f32 -2 (.f32 (pow.f32 (PI.f32) 2) (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))))))))) (pow.f32 u1 3)) (+.f32 (.f32 2 (/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (pow.f32 u1 2) (.f32 (PI.f32) (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))))))) (cos.f32 (.f32 1/2 (PI.f32))))) (.f32 (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2)))) u1))))
(+.f32 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (+.f32 (.f32 -4 (.f32 (.f32 (-.f32 (.f32 (PI.f32) 2) (.f32 -2 (.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))))) (pow.f32 (PI.f32) 2)) (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2)))) (+.f32 (.f32 4/3 (.f32 (pow.f32 (PI.f32) 3) (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2)))) (.f32 -2 (.f32 (-.f32 (.f32 (PI.f32) 2) (.f32 -2 (.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))))) (pow.f32 (PI.f32) 2)))))) (pow.f32 u1 3)) (+.f32 (.f32 2 (.f32 (.f32 (PI.f32) (.f32 (pow.f32 u1 2) (-.f32 (.f32 (PI.f32) 2) (.f32 -2 (.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))))))) (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))))) (+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (.f32 (-.f32 (.f32 (PI.f32) 2) (.f32 -2 (.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))))) u1))))
(+.f32 (+.f32 (.f32 (-.f32 (.f32 (PI.f32) 2) (/.f32 -2 (/.f32 (/.f32 (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2)) (PI.f32)))) u1) (+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (/.f32 2 (/.f32 (cos.f32 (.f32 1/2 (PI.f32))) (.f32 (pow.f32 u1 2) (.f32 (PI.f32) (.f32 (sin.f32 (.f32 1/2 (PI.f32))) (-.f32 (.f32 (PI.f32) 2) (/.f32 -2 (/.f32 (/.f32 (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2)) (PI.f32))))))))))) (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (+.f32 (/.f32 4/3 (/.f32 (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2) (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (PI.f32) 3)))) (+.f32 (/.f32 (.f32 (-.f32 (.f32 (PI.f32) 2) (/.f32 -2 (/.f32 (/.f32 (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2)) (PI.f32)))) (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (PI.f32) 2))) (/.f32 (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2) -4)) (.f32 -2 (.f32 (-.f32 (.f32 (PI.f32) 2) (/.f32 -2 (/.f32 (/.f32 (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 1/2 (PI.f32))) 2)) (PI.f32)))) (pow.f32 (PI.f32) 2)))))) (pow.f32 u1 3)))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))))
(/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))))
(/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))))
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(pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2)
(/.f32 1 (/.f32 1 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2)))
(pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2)
(/.f32 1 (/.f32 -1 (neg.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2))))
(pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2)
(/.f32 (neg.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2)) -1)
(pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2)
(/.f32 (-.f32 (+.f32 (neg.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2)) (neg.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2))) (neg.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2))) -1)
(pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2)
(neg.f32 (neg.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (+.f32 u1 u1) 1/2))) (/.f32 alphay alphax)))) 2)))
(pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2)

localize179.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f32 (PI.f32) u1)
✓	0.3b	(cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))))
✓	0.3b	(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax)
✓	0.3b	(*.f32 u0 (pow.f32 alphax 2))

Compiler

Compiled 206 to 131 computations (36.4% saved)

series12.0ms (0%)

Counts

4 → 60

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	alphax	@	0	(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax)
2.0ms	u1	@	0	(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax)
1.0ms	alphax	@	inf	(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax)
1.0ms	u1	@	inf	(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax)
1.0ms	u1	@	-inf	(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax)

rewrite69.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1166×	`rational.json-simplify-29`
1088×	`rational.json-simplify-42`
1022×	`rational.json-simplify-47`
910×	`rational.json-1`
910×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	86
1	111	86
2	382	86
3	2119	86

Stop Event

1×	node limit

Counts

4 → 223

Calls

Call 1

Inputs
(*.f32 u0 (pow.f32 alphax 2))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax)
(cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))))
(*.f32 (PI.f32) u1)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u0 (pow.f32 alphax 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u0 (pow.f32 alphax 2)) (-.f32 u0 u0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u0 (pow.f32 alphax 2)) (.f32 (pow.f32 alphax 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u0 (pow.f32 alphax 2)) (.f32 u0 (.f32 (pow.f32 alphax 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u0 (pow.f32 alphax 2)) (.f32 0 (-.f32 (pow.f32 alphax 2) u0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u0 (pow.f32 alphax 2)) (.f32 0 (-.f32 u0 (pow.f32 alphax 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u0 (pow.f32 alphax 2)) (.f32 (neg.f32 (pow.f32 alphax 2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u0 (pow.f32 alphax 2)) (.f32 (neg.f32 u0) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u0 (pow.f32 alphax 2)) (.f32 1 (.f32 0 (-.f32 (pow.f32 alphax 2) u0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u0 (pow.f32 alphax 2)) (.f32 1 (.f32 0 (-.f32 u0 (pow.f32 alphax 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u0 (pow.f32 alphax 2)) (/.f32 0 (neg.f32 (/.f32 1 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u0 (pow.f32 alphax 2)) (/.f32 0 (neg.f32 (/.f32 1 (pow.f32 alphax 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 u0 (pow.f32 alphax 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u0 (neg.f32 (pow.f32 alphax 2))) (.f32 (pow.f32 alphax 2) (+.f32 u0 u0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 u0 u0) (.f32 u0 (pow.f32 alphax 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (pow.f32 alphax 2) 0) (.f32 u0 (pow.f32 alphax 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (pow.f32 alphax 2) (+.f32 u0 u0)) (.f32 u0 (neg.f32 (pow.f32 alphax 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u0 (.f32 (pow.f32 alphax 2) 0)) (.f32 u0 (pow.f32 alphax 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 0 (-.f32 (pow.f32 alphax 2) u0)) (.f32 u0 (pow.f32 alphax 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 0 (-.f32 u0 (pow.f32 alphax 2))) (.f32 u0 (pow.f32 alphax 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 u0 (pow.f32 alphax 2)) 1/2) (.f32 1/2 (.f32 u0 (pow.f32 alphax 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 u0 (pow.f32 alphax 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 u0 (pow.f32 alphax 2)) (-.f32 u0 u0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 u0 (pow.f32 alphax 2)) (.f32 (pow.f32 alphax 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 u0 (pow.f32 alphax 2)) (.f32 u0 (.f32 (pow.f32 alphax 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 u0 (pow.f32 alphax 2)) (.f32 0 (-.f32 (pow.f32 alphax 2) u0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 u0 (pow.f32 alphax 2)) (.f32 0 (-.f32 u0 (pow.f32 alphax 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(.f32 u0 (neg.f32 (pow.f32 alphax 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (pow.f32 alphax 2) (+.f32 u0 u0)) (.f32 u0 (pow.f32 alphax 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (.f32 (pow.f32 alphax 2) (+.f32 u0 u0)) 2) (.f32 u0 (.f32 (pow.f32 alphax 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (.f32 (.f32 (pow.f32 alphax 2) 2) 2) u0) (.f32 u0 (.f32 (pow.f32 alphax 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (.f32 (+.f32 u0 u0) 2) (pow.f32 alphax 2)) (.f32 u0 (.f32 (pow.f32 alphax 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (.f32 u0 (.f32 (pow.f32 alphax 2) 3)) 1/2) (.f32 1/2 (.f32 u0 (pow.f32 alphax 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (-.f32 u0 u0) -1) (.f32 -1 (.f32 u0 (pow.f32 alphax 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (.f32 (pow.f32 alphax 2) 0) -1) (.f32 -1 (.f32 u0 (pow.f32 alphax 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 u0 (/.f32 1 (pow.f32 alphax 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 alphax 2) (/.f32 1 u0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 u0 (pow.f32 alphax 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (/.f32 1 (pow.f32 alphax 2)) u0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (/.f32 1 u0) (pow.f32 alphax 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 1 (.f32 u0 (pow.f32 alphax 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 -1 (.f32 u0 (neg.f32 (pow.f32 alphax 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (pow.f32 alphax 2)) (neg.f32 (/.f32 1 u0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 u0) (neg.f32 (/.f32 1 (pow.f32 alphax 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 u0 (neg.f32 (pow.f32 alphax 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (+.f32 (.f32 u0 (neg.f32 (pow.f32 alphax 2))) (.f32 u0 (neg.f32 (pow.f32 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((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax) (/.f32 0 alphax))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax) (.f32 (/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax) (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax) (neg.f32 (/.f32 0 alphax)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax) (/.f32 0 (+.f32 alphax alphax)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax) (.f32 (/.f32 1 alphax) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (tan.f32 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((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) u1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) u1) (.f32 (PI.f32) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) u1) (-.f32 u1 u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) u1) (.f32 (PI.f32) (-.f32 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) u1) (.f32 0 (-.f32 u1 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) u1) (.f32 0 (-.f32 (PI.f32) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) u1) (.f32 (neg.f32 (PI.f32)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) u1) (.f32 1 (.f32 0 (-.f32 u1 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) u1) (.f32 1 (.f32 0 (-.f32 (PI.f32) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) u1) (/.f32 0 (neg.f32 (/.f32 1 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) u1) (/.f32 0 (neg.f32 (/.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 2 (.f32 (PI.f32) u1)) (.f32 (PI.f32) (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (PI.f32) u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) (neg.f32 u1)) (.f32 2 (.f32 (PI.f32) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) 0) (.f32 (PI.f32) u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 u1 u1) (.f32 (PI.f32) u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) (-.f32 u1 u1)) (.f32 (PI.f32) u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 0 (-.f32 u1 (PI.f32))) (.f32 (PI.f32) u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 0 (-.f32 (PI.f32) u1)) (.f32 (PI.f32) u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 (PI.f32) u1) 1/2) (.f32 1/2 (.f32 (PI.f32) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (-.f32 u1 u1) 1/2) (.f32 (PI.f32) u1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (PI.f32) u1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (PI.f32) u1) (.f32 (PI.f32) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (PI.f32) u1) (-.f32 u1 u1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (PI.f32) u1) (.f32 (PI.f32) (-.f32 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (PI.f32) u1) (.f32 0 (-.f32 u1 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (PI.f32) u1) (.f32 0 (-.f32 (PI.f32) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (PI.f32) u1) (.f32 (neg.f32 (PI.f32)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 2 (.f32 (PI.f32) u1)) (.f32 (PI.f32) u1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (.f32 (PI.f32) (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (PI.f32) (neg.f32 u1)) (.f32 (PI.f32) (.f32 -2 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (PI.f32) (neg.f32 u1)) (.f32 -1 (.f32 2 (.f32 (PI.f32) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (PI.f32) (neg.f32 u1)) (.f32 (neg.f32 u1) (.f32 2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (PI.f32) 0) (.f32 (PI.f32) (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 u1 u1) (.f32 (PI.f32) (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (PI.f32) (.f32 u1 4)) (.f32 (PI.f32) (.f32 u1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (.f32 u1 4) (PI.f32)) (.f32 (PI.f32) (.f32 u1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (.f32 (PI.f32) 4) u1) (.f32 (PI.f32) (.f32 u1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (.f32 (PI.f32) (.f32 u1 3)) 1/2) (.f32 1/2 (.f32 (PI.f32) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (/.f32 8 (/.f32 1 (.f32 (PI.f32) u1))) 1/2) (.f32 (PI.f32) (.f32 u1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (.f32 (PI.f32) 0) -1) (.f32 (PI.f32) (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (-.f32 u1 u1) -1) (.f32 (PI.f32) (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (PI.f32) (/.f32 1 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 u1 (/.f32 1 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (PI.f32) u1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 1 (.f32 (PI.f32) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (PI.f32) (neg.f32 u1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 u1) (neg.f32 (/.f32 1 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (PI.f32)) (neg.f32 (/.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (.f32 (.f32 (PI.f32) (neg.f32 u1)) 2) (.f32 (PI.f32) (neg.f32 u1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (.f32 (PI.f32) (neg.f32 u1)))))))

simplify131.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1412×	`rational.json-simplify-21`
1230×	`rational.json-simplify-23`
1000×	`rational.json-simplify-1`
674×	`rational.json-simplify-24`
644×	`rational.json-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	497	8395
1	1479	8115
2	5983	8067

Stop Event

1×	node limit

Counts

283 → 272

Calls

Call 1

Inputs
(.f32 2 (/.f32 (.f32 (PI.f32) u1) alphax))
(+.f32 (.f32 2 (/.f32 (.f32 (PI.f32) u1) alphax)) (.f32 (-.f32 (.f32 -4/3 (/.f32 (pow.f32 (PI.f32) 3) alphax)) (*.f32 -4 (/.f32 (pow.f32 (PI.f32) 3) alphax))) (pow.f32 u1 3)))
(+.f32 (.f32 (-.f32 (.f32 4/15 (/.f32 (pow.f32 (PI.f32) 5) alphax)) (+.f32 (.f32 4/3 (/.f32 (pow.f32 (PI.f32) 5) alphax)) (.f32 -2 (/.f32 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 -4 (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 2)) alphax)))) (pow.f32 u1 5)) (+.f32 (.f32 2 (/.f32 (.f32 (PI.f32) u1) alphax)) (.f32 (-.f32 (.f32 -4/3 (/.f32 (pow.f32 (PI.f32) 3) alphax)) (.f32 -4 (/.f32 (pow.f32 (PI.f32) 3) alphax))) (pow.f32 u1 3))))
(+.f32 (.f32 (-.f32 (.f32 4/15 (/.f32 (pow.f32 (PI.f32) 5) alphax)) (+.f32 (.f32 4/3 (/.f32 (pow.f32 (PI.f32) 5) alphax)) (.f32 -2 (/.f32 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 -4 (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 2)) alphax)))) (pow.f32 u1 5)) (+.f32 (.f32 (-.f32 (.f32 -8/315 (/.f32 (pow.f32 (PI.f32) 7) alphax)) (+.f32 (.f32 2/3 (/.f32 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 -4 (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 4)) alphax)) (+.f32 (.f32 -8/45 (/.f32 (pow.f32 (PI.f32) 7) alphax)) (.f32 -2 (/.f32 (.f32 (pow.f32 (PI.f32) 2) (-.f32 (.f32 4/15 (pow.f32 (PI.f32) 5)) (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 5)) (.f32 -2 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 -4 (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 2)))))) alphax))))) (pow.f32 u1 7)) (+.f32 (.f32 2 (/.f32 (.f32 (PI.f32) u1) alphax)) (.f32 (-.f32 (.f32 -4/3 (/.f32 (pow.f32 (PI.f32) 3) alphax)) (*.f32 -4 (/.f32 (pow.f32 (PI.f32) 3) alphax))) (pow.f32 u1 3)))))
(/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (sin.f32 (.f32 2 (.f32 u1 (PI.f32)))) (.f32 (cos.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(/.f32 (sin.f32 (.f32 2 (.f32 u1 (PI.f32)))) (.f32 (cos.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(/.f32 (sin.f32 (.f32 2 (.f32 u1 (PI.f32)))) (.f32 (cos.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(/.f32 (sin.f32 (.f32 2 (.f32 u1 (PI.f32)))) (.f32 (cos.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(/.f32 (sin.f32 (.f32 2 (.f32 u1 (PI.f32)))) (.f32 (cos.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(/.f32 (sin.f32 (.f32 2 (.f32 u1 (PI.f32)))) (.f32 (cos.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(/.f32 (sin.f32 (.f32 2 (.f32 u1 (PI.f32)))) (.f32 (cos.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(/.f32 (sin.f32 (.f32 2 (.f32 u1 (PI.f32)))) (.f32 (cos.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(/.f32 (sin.f32 (.f32 2 (.f32 u1 (PI.f32)))) (.f32 (cos.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(/.f32 (sin.f32 (.f32 2 (.f32 u1 (PI.f32)))) (.f32 (cos.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(/.f32 (sin.f32 (.f32 2 (.f32 u1 (PI.f32)))) (.f32 (cos.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(/.f32 (sin.f32 (.f32 2 (.f32 u1 (PI.f32)))) (.f32 (cos.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax)))
(+.f32 (*.f32 u0 (pow.f32 alphax 2)) 0)
(+.f32 (*.f32 u0 (pow.f32 alphax 2)) (-.f32 u0 u0))
(+.f32 (.f32 u0 (pow.f32 alphax 2)) (.f32 (pow.f32 alphax 2) 0))
(+.f32 (.f32 u0 (pow.f32 alphax 2)) (.f32 u0 (*.f32 (pow.f32 alphax 2) 0)))
(+.f32 (.f32 u0 (pow.f32 alphax 2)) (.f32 0 (-.f32 (pow.f32 alphax 2) u0)))
(+.f32 (.f32 u0 (pow.f32 alphax 2)) (.f32 0 (-.f32 u0 (pow.f32 alphax 2))))
(+.f32 (.f32 u0 (pow.f32 alphax 2)) (.f32 (neg.f32 (pow.f32 alphax 2)) 0))
(+.f32 (.f32 u0 (pow.f32 alphax 2)) (.f32 (neg.f32 u0) 0))
(+.f32 (.f32 u0 (pow.f32 alphax 2)) (.f32 1 (*.f32 0 (-.f32 (pow.f32 alphax 2) u0))))
(+.f32 (.f32 u0 (pow.f32 alphax 2)) (.f32 1 (*.f32 0 (-.f32 u0 (pow.f32 alphax 2)))))
(+.f32 (*.f32 u0 (pow.f32 alphax 2)) (/.f32 0 (neg.f32 (/.f32 1 u0))))
(+.f32 (*.f32 u0 (pow.f32 alphax 2)) (/.f32 0 (neg.f32 (/.f32 1 (pow.f32 alphax 2)))))
(+.f32 0 (*.f32 u0 (pow.f32 alphax 2)))
(+.f32 (.f32 u0 (neg.f32 (pow.f32 alphax 2))) (.f32 (pow.f32 alphax 2) (+.f32 u0 u0)))
(+.f32 (-.f32 u0 u0) (*.f32 u0 (pow.f32 alphax 2)))
(+.f32 (.f32 (pow.f32 alphax 2) 0) (.f32 u0 (pow.f32 alphax 2)))
(+.f32 (.f32 (pow.f32 alphax 2) (+.f32 u0 u0)) (.f32 u0 (neg.f32 (pow.f32 alphax 2))))
(+.f32 (.f32 u0 (.f32 (pow.f32 alphax 2) 0)) (*.f32 u0 (pow.f32 alphax 2)))
(+.f32 (.f32 0 (-.f32 (pow.f32 alphax 2) u0)) (.f32 u0 (pow.f32 alphax 2)))
(+.f32 (.f32 0 (-.f32 u0 (pow.f32 alphax 2))) (.f32 u0 (pow.f32 alphax 2)))
(+.f32 (.f32 (.f32 u0 (pow.f32 alphax 2)) 1/2) (.f32 1/2 (.f32 u0 (pow.f32 alphax 2))))
(-.f32 (*.f32 u0 (pow.f32 alphax 2)) 0)
(-.f32 (*.f32 u0 (pow.f32 alphax 2)) (-.f32 u0 u0))
(-.f32 (.f32 u0 (pow.f32 alphax 2)) (.f32 (pow.f32 alphax 2) 0))
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(.f32 -1/2 (-.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphay alphax)))) (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphay alphax)))) 3)))
(.f32 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax)))) 2) 1/2)
(.f32 (+.f32 (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphay alphax))))) (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax)))))) -1/2)
(/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax)))) 1)
(/.f32 1 (/.f32 1 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))))))
(/.f32 1 (/.f32 -1 (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax)))))))
(/.f32 (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))))) -1)
(/.f32 (-.f32 (+.f32 (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphay alphax))))) (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphay alphax)))))) (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax)))))) -1)
(neg.f32 (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))))))
(+.f32 (*.f32 (PI.f32) u1) 0)
(+.f32 (.f32 (PI.f32) u1) (.f32 (PI.f32) 0))
(+.f32 (*.f32 (PI.f32) u1) (-.f32 u1 u1))
(+.f32 (.f32 (PI.f32) u1) (.f32 (PI.f32) (-.f32 u1 u1)))
(+.f32 (.f32 (PI.f32) u1) (.f32 0 (-.f32 u1 (PI.f32))))
(+.f32 (.f32 (PI.f32) u1) (.f32 0 (-.f32 (PI.f32) u1)))
(+.f32 (.f32 (PI.f32) u1) (.f32 (neg.f32 (PI.f32)) 0))
(+.f32 (.f32 (PI.f32) u1) (.f32 1 (*.f32 0 (-.f32 u1 (PI.f32)))))
(+.f32 (.f32 (PI.f32) u1) (.f32 1 (*.f32 0 (-.f32 (PI.f32) u1))))
(+.f32 (*.f32 (PI.f32) u1) (/.f32 0 (neg.f32 (/.f32 1 (PI.f32)))))
(+.f32 (*.f32 (PI.f32) u1) (/.f32 0 (neg.f32 (/.f32 1 u1))))
(+.f32 (.f32 2 (.f32 (PI.f32) u1)) (*.f32 (PI.f32) (neg.f32 u1)))
(+.f32 0 (*.f32 (PI.f32) u1))
(+.f32 (.f32 (PI.f32) (neg.f32 u1)) (.f32 2 (*.f32 (PI.f32) u1)))
(+.f32 (.f32 (PI.f32) 0) (.f32 (PI.f32) u1))
(+.f32 (-.f32 u1 u1) (*.f32 (PI.f32) u1))
(+.f32 (.f32 (PI.f32) (-.f32 u1 u1)) (.f32 (PI.f32) u1))
(+.f32 (.f32 0 (-.f32 u1 (PI.f32))) (.f32 (PI.f32) u1))
(+.f32 (.f32 0 (-.f32 (PI.f32) u1)) (.f32 (PI.f32) u1))
(+.f32 (.f32 (.f32 (PI.f32) u1) 1/2) (.f32 1/2 (.f32 (PI.f32) u1)))
(+.f32 (.f32 (-.f32 u1 u1) 1/2) (.f32 (PI.f32) u1))
(-.f32 (*.f32 (PI.f32) u1) 0)
(-.f32 (.f32 (PI.f32) u1) (.f32 (PI.f32) 0))
(-.f32 (*.f32 (PI.f32) u1) (-.f32 u1 u1))
(-.f32 (.f32 (PI.f32) u1) (.f32 (PI.f32) (-.f32 u1 u1)))
(-.f32 (.f32 (PI.f32) u1) (.f32 0 (-.f32 u1 (PI.f32))))
(-.f32 (.f32 (PI.f32) u1) (.f32 0 (-.f32 (PI.f32) u1)))
(-.f32 (.f32 (PI.f32) u1) (.f32 (neg.f32 (PI.f32)) 0))
(-.f32 (.f32 2 (.f32 (PI.f32) u1)) (*.f32 (PI.f32) u1))
(-.f32 0 (*.f32 (PI.f32) (neg.f32 u1)))
(-.f32 (.f32 (PI.f32) (neg.f32 u1)) (.f32 (PI.f32) (*.f32 -2 u1)))
(-.f32 (.f32 (PI.f32) (neg.f32 u1)) (.f32 -1 (.f32 2 (.f32 (PI.f32) u1))))
(-.f32 (.f32 (PI.f32) (neg.f32 u1)) (.f32 (neg.f32 u1) (*.f32 2 (PI.f32))))
(-.f32 (.f32 (PI.f32) 0) (.f32 (PI.f32) (neg.f32 u1)))
(-.f32 (-.f32 u1 u1) (*.f32 (PI.f32) (neg.f32 u1)))
(-.f32 (.f32 (PI.f32) (.f32 u1 4)) (.f32 (PI.f32) (.f32 u1 3)))
(-.f32 (.f32 (.f32 u1 4) (PI.f32)) (.f32 (PI.f32) (.f32 u1 3)))
(-.f32 (.f32 (.f32 (PI.f32) 4) u1) (.f32 (PI.f32) (.f32 u1 3)))
(-.f32 (.f32 (.f32 (PI.f32) (.f32 u1 3)) 1/2) (.f32 1/2 (*.f32 (PI.f32) u1)))
(-.f32 (.f32 (/.f32 8 (/.f32 1 (.f32 (PI.f32) u1))) 1/2) (.f32 (PI.f32) (.f32 u1 3)))
(-.f32 (.f32 (.f32 (PI.f32) 0) -1) (*.f32 (PI.f32) (neg.f32 u1)))
(-.f32 (.f32 (-.f32 u1 u1) -1) (.f32 (PI.f32) (neg.f32 u1)))
(/.f32 (PI.f32) (/.f32 1 u1))
(/.f32 u1 (/.f32 1 (PI.f32)))
(/.f32 (*.f32 (PI.f32) u1) 1)
(/.f32 1 (/.f32 1 (*.f32 (PI.f32) u1)))
(/.f32 (*.f32 (PI.f32) (neg.f32 u1)) -1)
(/.f32 (neg.f32 u1) (neg.f32 (/.f32 1 (PI.f32))))
(/.f32 (neg.f32 (PI.f32)) (neg.f32 (/.f32 1 u1)))
(/.f32 (-.f32 (.f32 (.f32 (PI.f32) (neg.f32 u1)) 2) (*.f32 (PI.f32) (neg.f32 u1))) -1)
(neg.f32 (*.f32 (PI.f32) (neg.f32 u1)))

Outputs
(.f32 2 (/.f32 (.f32 (PI.f32) u1) alphax))
(/.f32 2 (/.f32 (/.f32 alphax u1) (PI.f32)))
(+.f32 (.f32 2 (/.f32 (.f32 (PI.f32) u1) alphax)) (.f32 (-.f32 (.f32 -4/3 (/.f32 (pow.f32 (PI.f32) 3) alphax)) (*.f32 -4 (/.f32 (pow.f32 (PI.f32) 3) alphax))) (pow.f32 u1 3)))
(+.f32 (.f32 2 (/.f32 (.f32 (PI.f32) u1) alphax)) (.f32 (-.f32 (.f32 -4/3 (/.f32 (pow.f32 (PI.f32) 3) alphax)) (/.f32 -4 (/.f32 alphax (pow.f32 (PI.f32) 3)))) (pow.f32 u1 3)))
(+.f32 (/.f32 2 (/.f32 (/.f32 alphax u1) (PI.f32))) (.f32 (pow.f32 u1 3) (.f32 (/.f32 (pow.f32 (PI.f32) 3) alphax) 8/3)))
(+.f32 (.f32 (-.f32 (.f32 4/15 (/.f32 (pow.f32 (PI.f32) 5) alphax)) (+.f32 (.f32 4/3 (/.f32 (pow.f32 (PI.f32) 5) alphax)) (.f32 -2 (/.f32 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 -4 (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 2)) alphax)))) (pow.f32 u1 5)) (+.f32 (.f32 2 (/.f32 (.f32 (PI.f32) u1) alphax)) (.f32 (-.f32 (.f32 -4/3 (/.f32 (pow.f32 (PI.f32) 3) alphax)) (.f32 -4 (/.f32 (pow.f32 (PI.f32) 3) alphax))) (pow.f32 u1 3))))
(+.f32 (.f32 2 (/.f32 (.f32 (PI.f32) u1) alphax)) (+.f32 (.f32 (-.f32 (/.f32 (.f32 4/15 (pow.f32 (PI.f32) 5)) alphax) (+.f32 (.f32 (/.f32 (pow.f32 (PI.f32) 5) alphax) 4/3) (/.f32 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 (pow.f32 (PI.f32) 3) -4)) (.f32 -2 (pow.f32 (PI.f32) 2))) alphax))) (pow.f32 u1 5)) (.f32 (-.f32 (*.f32 -4/3 (/.f32 (pow.f32 (PI.f32) 3) alphax)) (/.f32 -4 (/.f32 alphax (pow.f32 (PI.f32) 3)))) (pow.f32 u1 3))))
(+.f32 (/.f32 2 (/.f32 (/.f32 alphax u1) (PI.f32))) (+.f32 (.f32 (pow.f32 u1 3) (.f32 (/.f32 (pow.f32 (PI.f32) 3) alphax) 8/3)) (.f32 (-.f32 (.f32 (pow.f32 (PI.f32) 5) (/.f32 4/15 alphax)) (/.f32 (+.f32 (.f32 (pow.f32 (PI.f32) 5) 4/3) (.f32 -2 (.f32 (.f32 (pow.f32 (PI.f32) 3) 8/3) (pow.f32 (PI.f32) 2)))) alphax)) (pow.f32 u1 5))))
(+.f32 (/.f32 2 (/.f32 (/.f32 alphax u1) (PI.f32))) (+.f32 (.f32 (pow.f32 u1 3) (.f32 (/.f32 (pow.f32 (PI.f32) 3) alphax) 8/3)) (.f32 (/.f32 (-.f32 (.f32 4/15 (pow.f32 (PI.f32) 5)) (+.f32 (.f32 (pow.f32 (PI.f32) 5) 4/3) (.f32 -2 (.f32 (.f32 (pow.f32 (PI.f32) 3) 8/3) (pow.f32 (PI.f32) 2))))) alphax) (pow.f32 u1 5))))
(+.f32 (.f32 (-.f32 (.f32 4/15 (/.f32 (pow.f32 (PI.f32) 5) alphax)) (+.f32 (.f32 4/3 (/.f32 (pow.f32 (PI.f32) 5) alphax)) (.f32 -2 (/.f32 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 -4 (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 2)) alphax)))) (pow.f32 u1 5)) (+.f32 (.f32 (-.f32 (.f32 -8/315 (/.f32 (pow.f32 (PI.f32) 7) alphax)) (+.f32 (.f32 2/3 (/.f32 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 -4 (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 4)) alphax)) (+.f32 (.f32 -8/45 (/.f32 (pow.f32 (PI.f32) 7) alphax)) (.f32 -2 (/.f32 (.f32 (pow.f32 (PI.f32) 2) (-.f32 (.f32 4/15 (pow.f32 (PI.f32) 5)) (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 5)) (.f32 -2 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 -4 (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 2)))))) alphax))))) (pow.f32 u1 7)) (+.f32 (.f32 2 (/.f32 (.f32 (PI.f32) u1) alphax)) (.f32 (-.f32 (.f32 -4/3 (/.f32 (pow.f32 (PI.f32) 3) alphax)) (*.f32 -4 (/.f32 (pow.f32 (PI.f32) 3) alphax))) (pow.f32 u1 3)))))
(+.f32 (.f32 (-.f32 (.f32 -8/315 (/.f32 (pow.f32 (PI.f32) 7) alphax)) (+.f32 (.f32 2/3 (.f32 (pow.f32 (PI.f32) 4) (/.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 (pow.f32 (PI.f32) 3) -4)) alphax))) (+.f32 (/.f32 (.f32 (pow.f32 (PI.f32) 7) -8/45) alphax) (.f32 -2 (.f32 (-.f32 (.f32 4/15 (pow.f32 (PI.f32) 5)) (+.f32 (.f32 (pow.f32 (PI.f32) 5) 4/3) (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 (pow.f32 (PI.f32) 3) -4)) (.f32 -2 (pow.f32 (PI.f32) 2))))) (/.f32 (pow.f32 (PI.f32) 2) alphax)))))) (pow.f32 u1 7)) (+.f32 (.f32 2 (/.f32 (.f32 (PI.f32) u1) alphax)) (+.f32 (.f32 (-.f32 (/.f32 (.f32 4/15 (pow.f32 (PI.f32) 5)) alphax) (+.f32 (.f32 (/.f32 (pow.f32 (PI.f32) 5) alphax) 4/3) (/.f32 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 (pow.f32 (PI.f32) 3) -4)) (.f32 -2 (pow.f32 (PI.f32) 2))) alphax))) (pow.f32 u1 5)) (.f32 (-.f32 (.f32 -4/3 (/.f32 (pow.f32 (PI.f32) 3) alphax)) (/.f32 -4 (/.f32 alphax (pow.f32 (PI.f32) 3)))) (pow.f32 u1 3)))))
(+.f32 (/.f32 2 (/.f32 (/.f32 alphax u1) (PI.f32))) (+.f32 (.f32 (-.f32 (/.f32 (pow.f32 (PI.f32) 7) (/.f32 alphax -8/315)) (+.f32 (.f32 2/3 (.f32 (.f32 (pow.f32 (PI.f32) 3) 8/3) (/.f32 (pow.f32 (PI.f32) 4) alphax))) (/.f32 (+.f32 (.f32 (pow.f32 (PI.f32) 7) -8/45) (.f32 -2 (.f32 (pow.f32 (PI.f32) 2) (-.f32 (.f32 4/15 (pow.f32 (PI.f32) 5)) (+.f32 (.f32 (pow.f32 (PI.f32) 5) 4/3) (.f32 -2 (.f32 (.f32 (pow.f32 (PI.f32) 3) 8/3) (pow.f32 (PI.f32) 2)))))))) alphax))) (pow.f32 u1 7)) (+.f32 (.f32 (pow.f32 u1 3) (.f32 (/.f32 (pow.f32 (PI.f32) 3) alphax) 8/3)) (.f32 (-.f32 (.f32 (pow.f32 (PI.f32) 5) (/.f32 4/15 alphax)) (/.f32 (+.f32 (.f32 (pow.f32 (PI.f32) 5) 4/3) (.f32 -2 (.f32 (.f32 (pow.f32 (PI.f32) 3) 8/3) (pow.f32 (PI.f32) 2)))) alphax)) (pow.f32 u1 5)))))
(+.f32 (/.f32 2 (/.f32 (/.f32 alphax u1) (PI.f32))) (+.f32 (.f32 (-.f32 (/.f32 (pow.f32 (PI.f32) 7) (/.f32 alphax -8/315)) (+.f32 (.f32 2/3 (.f32 (.f32 (pow.f32 (PI.f32) 3) 8/3) (/.f32 (pow.f32 (PI.f32) 4) alphax))) (/.f32 (+.f32 (.f32 -2 (.f32 (pow.f32 (PI.f32) 2) (-.f32 (.f32 4/15 (pow.f32 (PI.f32) 5)) (+.f32 (.f32 (pow.f32 (PI.f32) 5) 4/3) (.f32 -2 (.f32 (.f32 (pow.f32 (PI.f32) 3) 8/3) (pow.f32 (PI.f32) 2))))))) (.f32 (pow.f32 (PI.f32) 7) -8/45)) alphax))) (pow.f32 u1 7)) (+.f32 (.f32 (pow.f32 u1 3) (.f32 (/.f32 (pow.f32 (PI.f32) 3) alphax) 8/3)) (.f32 (/.f32 (-.f32 (.f32 4/15 (pow.f32 (PI.f32) 5)) (+.f32 (.f32 (pow.f32 (PI.f32) 5) 4/3) (.f32 -2 (.f32 (.f32 (pow.f32 (PI.f32) 3) 8/3) (pow.f32 (PI.f32) 2))))) alphax) (pow.f32 u1 5)))))
(/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (.f32 alphax (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax) (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))
(/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (.f32 alphax (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax) (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))
(/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (.f32 alphax (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax) (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))
(/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (.f32 alphax (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax) (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))
(/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (.f32 alphax (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax) (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))
(/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (.f32 alphax (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax) (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))
(/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (.f32 alphax (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax) (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))
(/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (.f32 alphax (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax) (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))
(/.f32 (sin.f32 (.f32 2 (.f32 u1 (PI.f32)))) (.f32 (cos.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (.f32 alphax (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax) (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))
(/.f32 (sin.f32 (.f32 2 (.f32 u1 (PI.f32)))) (.f32 (cos.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (.f32 alphax (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax) (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))
(/.f32 (sin.f32 (.f32 2 (.f32 u1 (PI.f32)))) (.f32 (cos.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (.f32 alphax (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax) (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))
(/.f32 (sin.f32 (.f32 2 (.f32 u1 (PI.f32)))) (.f32 (cos.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (.f32 alphax (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax) (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))
(/.f32 (sin.f32 (.f32 2 (.f32 u1 (PI.f32)))) (.f32 (cos.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (.f32 alphax (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax) (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))
(/.f32 (sin.f32 (.f32 2 (.f32 u1 (PI.f32)))) (.f32 (cos.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (.f32 alphax (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
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(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphay alphax))))
(.f32 -1/2 (-.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphay alphax)))) (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphay alphax)))) 3)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphay alphax))))
(.f32 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax)))) 2) 1/2)
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphay alphax))))
(.f32 (+.f32 (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphay alphax))))) (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax)))))) -1/2)
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphay alphax))))
(/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax)))) 1)
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphay alphax))))
(/.f32 1 (/.f32 1 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))))))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphay alphax))))
(/.f32 1 (/.f32 -1 (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax)))))))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphay alphax))))
(/.f32 (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))))) -1)
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphay alphax))))
(/.f32 (-.f32 (+.f32 (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphay alphax))))) (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphay alphax)))))) (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax)))))) -1)
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphay alphax))))
(neg.f32 (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))))))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphay alphax))))
(+.f32 (*.f32 (PI.f32) u1) 0)
(*.f32 (PI.f32) u1)
(+.f32 (.f32 (PI.f32) u1) (.f32 (PI.f32) 0))
(*.f32 (PI.f32) u1)
(+.f32 (*.f32 (PI.f32) u1) (-.f32 u1 u1))
(+.f32 (.f32 (PI.f32) u1) (.f32 (PI.f32) (-.f32 u1 u1)))
(*.f32 (PI.f32) u1)
(+.f32 (.f32 (PI.f32) u1) (.f32 0 (-.f32 u1 (PI.f32))))
(+.f32 (.f32 u1 0) (.f32 (PI.f32) (-.f32 u1 0)))
(+.f32 (.f32 (PI.f32) u1) (.f32 u1 0))
(+.f32 (.f32 (PI.f32) u1) (.f32 0 (-.f32 (PI.f32) u1)))
(+.f32 (.f32 (PI.f32) u1) (.f32 0 (-.f32 u1 (PI.f32))))
(+.f32 (.f32 u1 0) (.f32 (PI.f32) (-.f32 u1 0)))
(+.f32 (.f32 (PI.f32) u1) (.f32 u1 0))
(+.f32 (.f32 (PI.f32) u1) (.f32 (neg.f32 (PI.f32)) 0))
(*.f32 (PI.f32) u1)
(+.f32 (.f32 (PI.f32) u1) (.f32 1 (*.f32 0 (-.f32 u1 (PI.f32)))))
(+.f32 (.f32 (PI.f32) u1) (.f32 0 (-.f32 u1 (PI.f32))))
(+.f32 (.f32 u1 0) (.f32 (PI.f32) (-.f32 u1 0)))
(+.f32 (.f32 (PI.f32) u1) (.f32 u1 0))
(+.f32 (.f32 (PI.f32) u1) (.f32 1 (*.f32 0 (-.f32 (PI.f32) u1))))
(+.f32 (.f32 (PI.f32) u1) (.f32 0 (-.f32 u1 (PI.f32))))
(+.f32 (.f32 u1 0) (.f32 (PI.f32) (-.f32 u1 0)))
(+.f32 (.f32 (PI.f32) u1) (.f32 u1 0))
(+.f32 (*.f32 (PI.f32) u1) (/.f32 0 (neg.f32 (/.f32 1 (PI.f32)))))
(*.f32 (PI.f32) u1)
(+.f32 (*.f32 (PI.f32) u1) (/.f32 0 (neg.f32 (/.f32 1 u1))))
(+.f32 (*.f32 (PI.f32) u1) (/.f32 0 (/.f32 -1 u1)))
(+.f32 (.f32 2 (.f32 (PI.f32) u1)) (*.f32 (PI.f32) (neg.f32 u1)))
(*.f32 (PI.f32) u1)
(+.f32 0 (*.f32 (PI.f32) u1))
(*.f32 (PI.f32) u1)
(+.f32 (.f32 (PI.f32) (neg.f32 u1)) (.f32 2 (*.f32 (PI.f32) u1)))
(*.f32 (PI.f32) u1)
(+.f32 (.f32 (PI.f32) 0) (.f32 (PI.f32) u1))
(*.f32 (PI.f32) u1)
(+.f32 (-.f32 u1 u1) (*.f32 (PI.f32) u1))
(+.f32 (*.f32 (PI.f32) u1) (-.f32 u1 u1))
(+.f32 (.f32 (PI.f32) (-.f32 u1 u1)) (.f32 (PI.f32) u1))
(*.f32 (PI.f32) u1)
(+.f32 (.f32 0 (-.f32 u1 (PI.f32))) (.f32 (PI.f32) u1))
(+.f32 (.f32 (PI.f32) u1) (.f32 0 (-.f32 u1 (PI.f32))))
(+.f32 (.f32 u1 0) (.f32 (PI.f32) (-.f32 u1 0)))
(+.f32 (.f32 (PI.f32) u1) (.f32 u1 0))
(+.f32 (.f32 0 (-.f32 (PI.f32) u1)) (.f32 (PI.f32) u1))
(+.f32 (.f32 (PI.f32) u1) (.f32 0 (-.f32 u1 (PI.f32))))
(+.f32 (.f32 u1 0) (.f32 (PI.f32) (-.f32 u1 0)))
(+.f32 (.f32 (PI.f32) u1) (.f32 u1 0))
(+.f32 (.f32 (.f32 (PI.f32) u1) 1/2) (.f32 1/2 (.f32 (PI.f32) u1)))
(*.f32 (PI.f32) u1)
(+.f32 (.f32 (-.f32 u1 u1) 1/2) (.f32 (PI.f32) u1))
(+.f32 (.f32 (PI.f32) u1) (.f32 1/2 (-.f32 u1 u1)))
(-.f32 (*.f32 (PI.f32) u1) 0)
(*.f32 (PI.f32) u1)
(-.f32 (.f32 (PI.f32) u1) (.f32 (PI.f32) 0))
(*.f32 (PI.f32) u1)
(-.f32 (*.f32 (PI.f32) u1) (-.f32 u1 u1))
(-.f32 (.f32 (PI.f32) u1) (.f32 (PI.f32) (-.f32 u1 u1)))
(*.f32 (PI.f32) u1)
(-.f32 (.f32 (PI.f32) u1) (.f32 0 (-.f32 u1 (PI.f32))))
(-.f32 (.f32 u1 0) (.f32 (PI.f32) (neg.f32 u1)))
(-.f32 (.f32 (PI.f32) u1) (.f32 0 (-.f32 (PI.f32) u1)))
(-.f32 (.f32 (PI.f32) u1) (.f32 0 (-.f32 u1 (PI.f32))))
(-.f32 (.f32 u1 0) (.f32 (PI.f32) (neg.f32 u1)))
(-.f32 (.f32 (PI.f32) u1) (.f32 (neg.f32 (PI.f32)) 0))
(*.f32 (PI.f32) u1)
(-.f32 (.f32 2 (.f32 (PI.f32) u1)) (*.f32 (PI.f32) u1))
(*.f32 (PI.f32) u1)
(-.f32 0 (*.f32 (PI.f32) (neg.f32 u1)))
(*.f32 (PI.f32) u1)
(-.f32 (.f32 (PI.f32) (neg.f32 u1)) (.f32 (PI.f32) (*.f32 -2 u1)))
(*.f32 (PI.f32) u1)
(-.f32 (.f32 (PI.f32) (neg.f32 u1)) (.f32 -1 (.f32 2 (.f32 (PI.f32) u1))))
(*.f32 (PI.f32) u1)
(-.f32 (.f32 (PI.f32) (neg.f32 u1)) (.f32 (neg.f32 u1) (*.f32 2 (PI.f32))))
(*.f32 (PI.f32) u1)
(-.f32 (.f32 (PI.f32) 0) (.f32 (PI.f32) (neg.f32 u1)))
(*.f32 (PI.f32) u1)
(-.f32 (-.f32 u1 u1) (*.f32 (PI.f32) (neg.f32 u1)))
(-.f32 (.f32 (PI.f32) (.f32 u1 4)) (.f32 (PI.f32) (.f32 u1 3)))
(*.f32 (PI.f32) u1)
(-.f32 (.f32 (.f32 u1 4) (PI.f32)) (.f32 (PI.f32) (.f32 u1 3)))
(*.f32 (PI.f32) u1)
(-.f32 (.f32 (.f32 (PI.f32) 4) u1) (.f32 (PI.f32) (.f32 u1 3)))
(*.f32 (PI.f32) u1)
(-.f32 (.f32 (.f32 (PI.f32) (.f32 u1 3)) 1/2) (.f32 1/2 (*.f32 (PI.f32) u1)))
(.f32 1/2 (-.f32 (.f32 (PI.f32) (.f32 u1 3)) (.f32 (PI.f32) u1)))
(.f32 1/2 (.f32 (PI.f32) (-.f32 (*.f32 u1 3) u1)))
(-.f32 (.f32 (/.f32 8 (/.f32 1 (.f32 (PI.f32) u1))) 1/2) (.f32 (PI.f32) (.f32 u1 3)))
(-.f32 (.f32 1/2 (.f32 8 (.f32 (PI.f32) u1))) (.f32 (PI.f32) (*.f32 u1 3)))
(-.f32 (.f32 1/2 (.f32 (PI.f32) (/.f32 u1 1/8))) (.f32 (PI.f32) (.f32 u1 3)))
(-.f32 (.f32 (.f32 (PI.f32) 0) -1) (*.f32 (PI.f32) (neg.f32 u1)))
(*.f32 (PI.f32) u1)
(-.f32 (.f32 (-.f32 u1 u1) -1) (.f32 (PI.f32) (neg.f32 u1)))
(-.f32 (neg.f32 (-.f32 u1 u1)) (*.f32 (PI.f32) (neg.f32 u1)))
(/.f32 (PI.f32) (/.f32 1 u1))
(*.f32 (PI.f32) u1)
(/.f32 u1 (/.f32 1 (PI.f32)))
(*.f32 (PI.f32) u1)
(/.f32 (*.f32 (PI.f32) u1) 1)
(*.f32 (PI.f32) u1)
(/.f32 1 (/.f32 1 (*.f32 (PI.f32) u1)))
(*.f32 (PI.f32) u1)
(/.f32 (*.f32 (PI.f32) (neg.f32 u1)) -1)
(*.f32 (PI.f32) u1)
(/.f32 (neg.f32 u1) (neg.f32 (/.f32 1 (PI.f32))))
(*.f32 (PI.f32) u1)
(/.f32 (neg.f32 (PI.f32)) (neg.f32 (/.f32 1 u1)))
(*.f32 (PI.f32) u1)
(/.f32 (-.f32 (.f32 (.f32 (PI.f32) (neg.f32 u1)) 2) (*.f32 (PI.f32) (neg.f32 u1))) -1)
(*.f32 (PI.f32) u1)
(neg.f32 (*.f32 (PI.f32) (neg.f32 u1)))
(*.f32 (PI.f32) u1)

localize320.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax)))
✓	0.3b	(/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))))
✓	0.4b	(.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))
✓	11.4b	(tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32)))

Compiler

Compiled 426 to 293 computations (31.2% saved)

series16.0ms (0%)

Counts

4 → 52

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	alphay	@	-inf	(/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))))
2.0ms	u0	@	0	(/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))))
1.0ms	alphay	@	inf	(/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))))
1.0ms	u0	@	inf	(/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))))
1.0ms	alphay	@	0	(/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))))

rewrite89.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1630×	`rational.json-1`
1630×	`rational.json-2`
1630×	`rational.json-4`
1630×	`rational.json-3`
956×	`rational.json-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	216
1	199	216
2	675	216
3	3746	216

Stop Event

1×	node limit

Counts

4 → 173

Calls

Call 1

Inputs
(tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32)))
(.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))
(/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax)))

Outputs
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simplify193.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1286×	`rational.json-simplify-4`
1182×	`rational.json-simplify-3`
1012×	`rational.json-simplify-12`
812×	`rational.json-simplify-1`
742×	`rational.json-simplify-21`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	444	20511
1	1144	20091
2	4431	19959

Stop Event

1×	node limit

Counts

225 → 281

Calls

Call 1

Inputs
(/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32))))
(+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (.f32 (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2)))) u1))
(+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (+.f32 (.f32 2 (/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (pow.f32 u1 2) (.f32 (PI.f32) (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))))))) (cos.f32 (.f32 1/2 (PI.f32))))) (.f32 (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)))) u1)))
(+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (+.f32 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (+.f32 (.f32 4/3 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (PI.f32) 3)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))) (+.f32 (.f32 -4 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (.f32 (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2)))) (pow.f32 (PI.f32) 2))) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))) (.f32 -2 (.f32 (pow.f32 (PI.f32) 2) (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))))))))) (pow.f32 u1 3)) (+.f32 (.f32 2 (/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (pow.f32 u1 2) (.f32 (PI.f32) (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))))))) (cos.f32 (.f32 1/2 (PI.f32))))) (.f32 (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2)))) u1))))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))))
(/.f32 (sin.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32))) (cos.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32))))
(/.f32 (sin.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32))) (cos.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32))))
(/.f32 (sin.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32))) (cos.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32))))
(/.f32 (sin.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32))) (cos.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32))))
(*.f32 1/2 (PI.f32))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(.f32 2 (.f32 u1 (PI.f32)))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(.f32 2 (.f32 u1 (PI.f32)))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) 2) (pow.f32 alphax 2))))
(/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) 2) (pow.f32 alphax 2))))
(/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) 2) (pow.f32 alphax 2))))
(/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) 2) (pow.f32 alphax 2))))
(/.f32 (.f32 u0 (pow.f32 alphay 2)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2))
(+.f32 (.f32 -1 (/.f32 (.f32 u0 (.f32 (pow.f32 alphay 4) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) 2))) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 4) (pow.f32 alphax 2)))) (/.f32 (.f32 u0 (pow.f32 alphay 2)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2)))
(+.f32 (/.f32 (.f32 u0 (.f32 (pow.f32 alphay 6) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) 4))) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 6) (pow.f32 alphax 4))) (+.f32 (.f32 -1 (/.f32 (.f32 u0 (.f32 (pow.f32 alphay 4) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) 2))) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 4) (pow.f32 alphax 2)))) (/.f32 (.f32 u0 (pow.f32 alphay 2)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2))))
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(/.f32 (.f32 u0 (pow.f32 alphax 2)) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) 2))
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(+.f32 (/.f32 (.f32 u0 (pow.f32 alphax 2)) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) 2)) (+.f32 (.f32 -1 (/.f32 (.f32 u0 (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 4))) (.f32 (pow.f32 alphay 2) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) 4)))) (/.f32 (.f32 u0 (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 4) (pow.f32 alphax 6))) (.f32 (pow.f32 alphay 4) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax))) 6)))))
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(.f32 (.f32 (+.f32 u0 u0) 2) (-.f32 (/.f32 1/2 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (.f32 2 (PI.f32)) (+.f32 u1 1/4))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)))) (/.f32 1/2 (.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (*.f32 2 (PI.f32)) (+.f32 u1 1/4))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))) 2))))
(.f32 (+.f32 (neg.f32 u0) (neg.f32 u0)) (/.f32 1/2 (neg.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (*.f32 2 (PI.f32)) (+.f32 u1 1/4))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))))
(.f32 (+.f32 (neg.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (.f32 2 (PI.f32)) (+.f32 u1 1/4))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))) (neg.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (*.f32 2 (PI.f32)) (+.f32 u1 1/4))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)))))) -1/2)
(neg.f32 (neg.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (.f32 2 (PI.f32)) (+.f32 u1 1/4))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))))
(neg.f32 (/.f32 u0 (neg.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (.f32 2 (PI.f32)) (+.f32 u1 1/4))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))))
(+.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 0)
(+.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 0))
(+.f32 0 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))))
(+.f32 (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax))))) (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 2))
(+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 2) (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax))))))
(+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 0) (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))))
(-.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 0)
(-.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 0))
(-.f32 0 (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax))))))
(-.f32 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 2) (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))))
(-.f32 (.f32 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 2) 2) (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 3))
(.f32 1/2 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 2))
(.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 1)
(.f32 1 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))))
(.f32 -1 (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax))))))
(.f32 (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax))))) -1)
(.f32 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 2) 1/2)
(.f32 (+.f32 (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax))))) (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))))) -1/2)
(/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 1)
(/.f32 1 (/.f32 1 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax))))))
(/.f32 1 (/.f32 -1 (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))))))
(/.f32 (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax))))) -1)
(neg.f32 (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax))))))

Outputs
(/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32))))
(/.f32 (sin.f32 (/.f32 (PI.f32) 2)) (cos.f32 (/.f32 (PI.f32) 2)))
(+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (.f32 (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2)))) u1))
(+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (.f32 (-.f32 (.f32 (PI.f32) 2) (.f32 -2 (.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))))) u1))
(+.f32 (/.f32 (sin.f32 (/.f32 (PI.f32) 2)) (cos.f32 (/.f32 (PI.f32) 2))) (.f32 (-.f32 (.f32 (PI.f32) 2) (.f32 -2 (.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (/.f32 (PI.f32) 2)) 2) (pow.f32 (cos.f32 (/.f32 (PI.f32) 2)) 2))))) u1))
(+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (+.f32 (.f32 2 (/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (pow.f32 u1 2) (.f32 (PI.f32) (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))))))) (cos.f32 (.f32 1/2 (PI.f32))))) (.f32 (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)))) u1)))
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(+.f32 (/.f32 (sin.f32 (/.f32 (PI.f32) 2)) (cos.f32 (/.f32 (PI.f32) 2))) (+.f32 (.f32 (-.f32 (.f32 (PI.f32) 2) (.f32 -2 (.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (/.f32 (PI.f32) 2)) 2) (pow.f32 (cos.f32 (/.f32 (PI.f32) 2)) 2))))) u1) (.f32 2 (.f32 (/.f32 (sin.f32 (/.f32 (PI.f32) 2)) (cos.f32 (/.f32 (PI.f32) 2))) (.f32 (PI.f32) (.f32 (-.f32 (.f32 (PI.f32) 2) (.f32 -2 (*.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (/.f32 (PI.f32) 2)) 2) (pow.f32 (cos.f32 (/.f32 (PI.f32) 2)) 2))))) (pow.f32 u1 2)))))))
(+.f32 (+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (.f32 (-.f32 (.f32 (PI.f32) 2) (.f32 -2 (.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))))) u1)) (/.f32 2 (/.f32 (cos.f32 (.f32 1/2 (PI.f32))) (.f32 (pow.f32 u1 2) (.f32 (PI.f32) (.f32 (sin.f32 (.f32 1/2 (PI.f32))) (-.f32 (.f32 (PI.f32) 2) (.f32 -2 (.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2)))))))))))
(+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (+.f32 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (+.f32 (.f32 4/3 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (PI.f32) 3)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))) (+.f32 (.f32 -4 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (.f32 (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2)))) (pow.f32 (PI.f32) 2))) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))) (.f32 -2 (.f32 (pow.f32 (PI.f32) 2) (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))))))))) (pow.f32 u1 3)) (+.f32 (.f32 2 (/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (pow.f32 u1 2) (.f32 (PI.f32) (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))))))) (cos.f32 (.f32 1/2 (PI.f32))))) (.f32 (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2)))) u1))))
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(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))))
(/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))))
(/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))))
(/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))))
(/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))))
(/.f32 (sin.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32))) (cos.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32))))
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(.f32 (.f32 (+.f32 u0 u0) 2) (-.f32 (/.f32 1/2 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (.f32 2 (PI.f32)) (+.f32 u1 1/4))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)))) (/.f32 1/2 (.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (*.f32 2 (PI.f32)) (+.f32 u1 1/4))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))) 2))))
(/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (.f32 (PI.f32) 2) (+.f32 u1 1/4))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))
(/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 (+.f32 u1 1/4) (PI.f32)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))
(/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 (+.f32 u1 1/4) 2))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))
(.f32 (+.f32 (neg.f32 u0) (neg.f32 u0)) (/.f32 1/2 (neg.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (*.f32 2 (PI.f32)) (+.f32 u1 1/4))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))))
(/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (.f32 (PI.f32) 2) (+.f32 u1 1/4))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))
(/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 (+.f32 u1 1/4) (PI.f32)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))
(/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 (+.f32 u1 1/4) 2))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))
(.f32 (+.f32 (neg.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (.f32 2 (PI.f32)) (+.f32 u1 1/4))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))) (neg.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (*.f32 2 (PI.f32)) (+.f32 u1 1/4))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)))))) -1/2)
(/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (.f32 (PI.f32) 2) (+.f32 u1 1/4))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))
(/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 (+.f32 u1 1/4) (PI.f32)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))
(/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 (+.f32 u1 1/4) 2))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))
(neg.f32 (neg.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (.f32 2 (PI.f32)) (+.f32 u1 1/4))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))))
(/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (.f32 (PI.f32) 2) (+.f32 u1 1/4))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))
(/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 (+.f32 u1 1/4) (PI.f32)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))
(/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 (+.f32 u1 1/4) 2))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))
(neg.f32 (/.f32 u0 (neg.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (.f32 2 (PI.f32)) (+.f32 u1 1/4))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))))
(/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (.f32 (PI.f32) 2) (+.f32 u1 1/4))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))
(/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 (+.f32 u1 1/4) (PI.f32)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))
(/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 (+.f32 u1 1/4) 2))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))
(+.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 0)
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphay alphax))))
(+.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 0))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphay alphax))))
(+.f32 0 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphay alphax))))
(+.f32 (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax))))) (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 2))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphay alphax))))
(+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 2) (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax))))))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphay alphax))))
(+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 0) (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphay alphax))))
(-.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 0)
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphay alphax))))
(-.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 0))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphay alphax))))
(-.f32 0 (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax))))))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphay alphax))))
(-.f32 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 2) (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphay alphax))))
(-.f32 (.f32 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 2) 2) (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 3))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphay alphax))))
(.f32 1/2 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 2))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphay alphax))))
(.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 1)
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphay alphax))))
(.f32 1 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphay alphax))))
(.f32 -1 (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax))))))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphay alphax))))
(.f32 (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax))))) -1)
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphay alphax))))
(.f32 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 2) 1/2)
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphay alphax))))
(.f32 (+.f32 (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax))))) (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))))) -1/2)
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphay alphax))))
(/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 1)
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphay alphax))))
(/.f32 1 (/.f32 1 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax))))))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphay alphax))))
(/.f32 1 (/.f32 -1 (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))))))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphay alphax))))
(/.f32 (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax))))) -1)
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphay alphax))))
(neg.f32 (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax))))))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphay alphax))))

localize368.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 u1 -2)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))
✓	0.4b	(.f32 (tan.f32 (.f32 (PI.f32) (-.f32 1/2 (*.f32 u1 -2)))) (/.f32 alphay alphax))
✓	0.4b	(.f32 (PI.f32) (-.f32 1/2 (.f32 u1 -2)))
✓	11.4b	(tan.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 u1 -2))))

Compiler

Compiled 436 to 281 computations (35.6% saved)

series28.0ms (0.1%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
4.0ms	u1	@	-inf	(/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 u1 -2)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))
3.0ms	alphax	@	inf	(/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 u1 -2)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))
2.0ms	alphay	@	0	(.f32 (tan.f32 (.f32 (PI.f32) (-.f32 1/2 (*.f32 u1 -2)))) (/.f32 alphay alphax))
2.0ms	u1	@	0	(/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 u1 -2)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))
2.0ms	alphay	@	inf	(/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 u1 -2)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))

rewrite139.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1182×	`rational.json-simplify-44`
1038×	`rational.json-simplify-1`
982×	`rational.json-simplify-35`
626×	`rational.json-simplify-40`
432×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	226
1	236	226
2	904	226
3	5363	226

Stop Event

1×	node limit

Counts

4 → 329

Calls

Call 1

Inputs
(tan.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 u1 -2))))
(.f32 (PI.f32) (-.f32 1/2 (.f32 u1 -2)))
(.f32 (tan.f32 (.f32 (PI.f32) (-.f32 1/2 (*.f32 u1 -2)))) (/.f32 alphay alphax))
(/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 u1 -2)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))

Outputs
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simplify320.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

848×	`rational.json-simplify-28`
766×	`rational.json-simplify-24`
680×	`rational.json-simplify-41`
592×	`rational.json-simplify-13`
552×	`rational.json-simplify-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	819	42411
1	2511	41647

Stop Event

1×	node limit

Counts

437 → 522

Calls

Call 1

Inputs
(/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32))))
(+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (.f32 (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2)))) u1))
(+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (+.f32 (.f32 2 (/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (pow.f32 u1 2) (.f32 (PI.f32) (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))))))) (cos.f32 (.f32 1/2 (PI.f32))))) (.f32 (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)))) u1)))
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(.f32 -1 (neg.f32 (/.f32 u0 (.f32 (-.f32 1 u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)))))))
(.f32 -1 (/.f32 u0 (.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))) (+.f32 u0 -1))))
(.f32 (neg.f32 (/.f32 u0 (.f32 (-.f32 1 u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)))))) -1)
(.f32 (/.f32 1 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)))) (/.f32 u0 (-.f32 1 u0)))
(.f32 (/.f32 1 (-.f32 1 u0)) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)))))
(.f32 (/.f32 (+.f32 u0 u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)))) (/.f32 1/2 (-.f32 1 u0)))
(.f32 (.f32 u0 -2) (/.f32 1/2 (.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))) (+.f32 u0 -1))))
(.f32 (/.f32 (neg.f32 u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)))) (/.f32 1 (+.f32 u0 -1)))
(.f32 (/.f32 (.f32 (/.f32 u0 (-.f32 1 u0)) 2) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)))) 1/2)
(.f32 (/.f32 1/2 (+.f32 u0 -1)) (/.f32 (.f32 u0 -2) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)))))
(.f32 (/.f32 1/2 (.f32 (-.f32 1 u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))) (+.f32 u0 u0))
(.f32 (neg.f32 (.f32 (/.f32 u0 (-.f32 1 u0)) 2)) (neg.f32 (/.f32 1/2 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))))
(.f32 (neg.f32 (/.f32 1/2 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))) (neg.f32 (.f32 (/.f32 u0 (-.f32 1 u0)) 2)))
(.f32 (.f32 (.f32 (/.f32 u0 (-.f32 1 u0)) 2) 2) (/.f32 1/2 (.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))) 2)))
(.f32 (.f32 (.f32 (/.f32 u0 (-.f32 1 u0)) 2) 2) (-.f32 (/.f32 1/2 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)))) (/.f32 1/2 (.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))) 2))))
(.f32 (+.f32 (neg.f32 (/.f32 u0 (-.f32 1 u0))) (neg.f32 (/.f32 u0 (-.f32 1 u0)))) (/.f32 1/2 (neg.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))))
(.f32 (.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)))) -2) (/.f32 1/2 (+.f32 u0 -1)))
(.f32 (+.f32 (neg.f32 (/.f32 u0 (.f32 (-.f32 1 u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)))))) (neg.f32 (/.f32 u0 (.f32 (-.f32 1 u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))))) -1/2)
(.f32 (neg.f32 (/.f32 (+.f32 u0 u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))) (neg.f32 (/.f32 1/2 (-.f32 1 u0))))
(neg.f32 (neg.f32 (/.f32 u0 (.f32 (-.f32 1 u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)))))))
(neg.f32 (/.f32 (neg.f32 (/.f32 u0 (-.f32 1 u0))) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)))))
(neg.f32 (/.f32 u0 (.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))) (+.f32 u0 -1))))

Outputs
(/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32))))
(+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (.f32 (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2)))) u1))
(+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (.f32 (-.f32 (.f32 (PI.f32) 2) (.f32 -2 (.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))))) u1))
(+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (.f32 (-.f32 (.f32 (PI.f32) 2) (/.f32 -2 (/.f32 (/.f32 (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2)))) u1))
(+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (+.f32 (.f32 2 (/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (pow.f32 u1 2) (.f32 (PI.f32) (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))))))) (cos.f32 (.f32 1/2 (PI.f32))))) (.f32 (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)))) u1)))
(+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (+.f32 (.f32 (-.f32 (.f32 (PI.f32) 2) (.f32 -2 (.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))))) u1) (.f32 2 (.f32 (.f32 (PI.f32) (.f32 (-.f32 (.f32 (PI.f32) 2) (.f32 -2 (.f32 (PI.f32) (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))))) (pow.f32 u1 2))) (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32))))))))
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(.f32 (.f32 (/.f32 u0 (-.f32 1 u0)) 4) (/.f32 1/4 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) alphax)))) 2) (pow.f32 alphay 2)))))
(.f32 (.f32 (.f32 (/.f32 u0 (-.f32 1 u0)) 2) 2) (-.f32 (/.f32 1/2 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)))) (/.f32 1/2 (.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))) 2))))
(.f32 (.f32 2 (.f32 2 (/.f32 u0 (-.f32 1 u0)))) (-.f32 (/.f32 1/2 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) alphax)))) 2) (pow.f32 alphay 2)))) (/.f32 1/2 (.f32 2 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) alphax)))) 2) (pow.f32 alphay 2)))))))
(.f32 (.f32 (/.f32 u0 (-.f32 1 u0)) 4) (-.f32 (/.f32 1/2 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) alphax)))) 2) (pow.f32 alphay 2)))) (/.f32 1/4 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) alphax)))) 2) (pow.f32 alphay 2))))))
(.f32 (+.f32 (neg.f32 (/.f32 u0 (-.f32 1 u0))) (neg.f32 (/.f32 u0 (-.f32 1 u0)))) (/.f32 1/2 (neg.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))))
(/.f32 u0 (.f32 (-.f32 1 u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) alphax)))) 2) (pow.f32 alphay 2)))))
(/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) alphax)))) 2) (pow.f32 alphay 2))))
(.f32 (.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)))) -2) (/.f32 1/2 (+.f32 u0 -1)))
(/.f32 (.f32 (.f32 -2 u0) (/.f32 1/2 (-.f32 u0 1))) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) alphax)))) 2) (pow.f32 alphay 2))))
(/.f32 (.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) alphax)))) 2) (pow.f32 alphay 2)))) -1) (+.f32 u0 -1))
(.f32 (+.f32 (neg.f32 (/.f32 u0 (.f32 (-.f32 1 u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)))))) (neg.f32 (/.f32 u0 (.f32 (-.f32 1 u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))))) -1/2)
(.f32 -1/2 (+.f32 (neg.f32 (/.f32 u0 (.f32 (-.f32 1 u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) alphax)))) 2) (pow.f32 alphay 2)))))) (neg.f32 (/.f32 u0 (.f32 (-.f32 1 u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) alphax)))) 2) (pow.f32 alphay 2))))))))
(.f32 -1/2 (-.f32 (/.f32 (/.f32 u0 (-.f32 1 u0)) (neg.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) alphax)))) 2) (pow.f32 alphay 2))))) (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) alphax)))) 2) (pow.f32 alphay 2))))))
(.f32 (neg.f32 (/.f32 (+.f32 u0 u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))))) (neg.f32 (/.f32 1/2 (-.f32 1 u0))))
(.f32 (neg.f32 (/.f32 (+.f32 u0 u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) alphax)))) 2) (pow.f32 alphay 2))))) (neg.f32 (/.f32 1/2 (-.f32 1 u0))))
(.f32 (/.f32 1/2 (+.f32 u0 -1)) (/.f32 (+.f32 u0 u0) (neg.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) alphax)))) 2) (pow.f32 alphay 2))))))
(neg.f32 (neg.f32 (/.f32 u0 (.f32 (-.f32 1 u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)))))))
(/.f32 u0 (.f32 (-.f32 1 u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) alphax)))) 2) (pow.f32 alphay 2)))))
(/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) alphax)))) 2) (pow.f32 alphay 2))))
(neg.f32 (/.f32 (neg.f32 (/.f32 u0 (-.f32 1 u0))) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)))))
(/.f32 u0 (.f32 (-.f32 1 u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) alphax)))) 2) (pow.f32 alphay 2)))))
(/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) alphax)))) 2) (pow.f32 alphay 2))))
(neg.f32 (/.f32 u0 (.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2))) (+.f32 u0 -1))))
(/.f32 u0 (.f32 (-.f32 1 u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) alphax)))) 2) (pow.f32 alphay 2)))))
(/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) alphax)))) 2) (pow.f32 alphay 2))))

localize509.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))
	10.0b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))
	11.4b	(tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))
	31.7b	(tan.f32 (*.f32 1/2 (PI.f32)))

Compiler

Compiled 589 to 348 computations (40.9% saved)

eval2.8s (5.2%)

Compiler: Compiled 130894 to 87075 computations (33.5% saved)

prune1.6s (3.1%)

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	2034	7	2041
Fresh	1	0	1
Picked	0	1	1
Done	0	7	7
Total	2035	15	2050

Error

0.2b

Counts

2050 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	0.6b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 (/.f32 1 (/.f32 (/.f32 1 u0) (pow.f32 alphay 2))) (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))) alphax)))) 2)) (-.f32 1 u0)))))
✓	0.6b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 (.f32 u0 (pow.f32 alphay 2)) (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))) alphax)))) 2)) (-.f32 1 u0)))))
	0.7b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 (.f32 u0 (pow.f32 alphay 2)) (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) 2)) (-.f32 1 u0)))))
✓	3.8b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 (.f32 u0 (pow.f32 alphax 2)) (-.f32 1 u0)) (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax)))) 2)))))
	3.8b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 (.f32 u0 (pow.f32 alphax 2)) (-.f32 1 u0)) (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 2 (/.f32 (/.f32 alphax u1) (PI.f32)))))) 2)))))
✓	2.3b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphay alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 u1 -2)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)))))))
✓	0.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (.f32 alphay alphay))))))))
✓	0.6b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))) (*.f32 alphay alphay))))))))
✓	1.0b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (.f32 2 (PI.f32))))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (.f32 alphay alphay))))))))
✓	2.4b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (.f32 2 (PI.f32))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (.f32 2 (PI.f32))))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))) (*.f32 alphay alphay))))))))
	3.7b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (.f32 2 (PI.f32))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (.f32 2 (PI.f32))))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (.f32 2 (PI.f32))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))) (*.f32 alphay alphay))))))))
	1.6b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 u0 (pow.f32 alphay 2)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2)))))
	3.8b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 u0 (pow.f32 alphax 2)) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) 2)))))
✓	2.4b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)))))))
	3.8b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) alphay) alphax))) 2) (pow.f32 alphay 2)))))))

Compiler

Compiled 768 to 580 computations (24.5% saved)

regimes270.0ms (0.5%)

Counts

21 → 1

Calls

Call 1

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

Outputs

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

Calls

13 calls:

69.0ms	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 (/.f32 1 (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0)))))
16.0ms	(.f32 (.f32 2 (PI.f32)) u1)
14.0ms	(/.f32 (.f32 (/.f32 1 (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0))
14.0ms	alphay
12.0ms	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (.f32 alphay alphay)))

Results

Error	Segments	Branch
0.2b	1	`u0`
0.2b	1	`u1`
0.2b	1	`alphax`
0.2b	1	`alphay`
0.2b	1	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 (/.f32 1 (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0)))))
0.2b	1	(sqrt.f32 (+.f32 1 (/.f32 (.f32 (/.f32 1 (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0))))
0.2b	1	(+.f32 1 (/.f32 (.f32 (/.f32 1 (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0)))
0.2b	1	(/.f32 (.f32 (/.f32 1 (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0))
0.2b	1	(/.f32 1 (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (.f32 alphay alphay))))
0.2b	1	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (.f32 alphay alphay)))
0.2b	1	`(tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))`
0.2b	1	`(+.f32 (.f32 (.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))`
0.2b	1	`(.f32 (.f32 2 (PI.f32)) u1)`

Compiler

Compiled 1738 to 1177 computations (32.3% saved)

regimes68.0ms (0.1%)

Counts

19 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

11.0ms	alphay
10.0ms	u0
10.0ms	alphax
9.0ms	u1

Results

Error	Segments	Branch
0.6b	1	`u0`
0.6b	1	`u1`
0.6b	1	`alphax`
0.6b	1	`alphay`

Compiler

Compiled 1018 to 686 computations (32.6% saved)

regimes86.0ms (0.2%)

Counts

17 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

9.0ms	alphay
9.0ms	u1
9.0ms	alphax
8.0ms	u0

Results

Error	Segments	Branch
0.6b	1	`u0`
0.6b	1	`u1`
0.6b	1	`alphax`
0.6b	1	`alphay`

Compiler

Compiled 868 to 591 computations (31.9% saved)

regimes25.0ms (0%)

Counts

6 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

5.0ms	u1
5.0ms	alphay
5.0ms	alphax
5.0ms	u0

Results

Error	Segments	Branch
0.6b	1	`u0`
0.6b	1	`u1`
0.6b	1	`alphax`
0.6b	1	`alphay`

Compiler

Compiled 191 to 148 computations (22.5% saved)

regimes22.0ms (0%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 (.f32 u0 (pow.f32 alphay 2)) (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) 2)) (-.f32 1 u0)))))

Calls

4 calls:

5.0ms	alphay
4.0ms	alphax
4.0ms	u1
4.0ms	u0

Results

Error	Segments	Branch
0.7b	1	`u0`
0.7b	1	`u1`
0.7b	1	`alphax`
0.7b	1	`alphay`

Compiler

Compiled 160 to 124 computations (22.5% saved)

regimes18.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs

(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 (*.f32 u0 (pow.f32 alphax 2)) (-.f32 1 u0)) (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 2 (/.f32 (/.f32 alphax u1) (PI.f32)))))) 2)))))

(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 u0 (pow.f32 alphax 2)) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax))) 2)))))

(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 u0 (pow.f32 alphay 2)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2)))))

Outputs
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 u0 (pow.f32 alphay 2)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2)))))

Calls

4 calls:

3.0ms	alphay
3.0ms	u0
3.0ms	u1
3.0ms	alphax

Results

Error	Segments	Branch
1.6b	1	`u0`
1.6b	1	`u1`
1.6b	1	`alphax`
1.6b	1	`alphay`

Compiler

Compiled 104 to 82 computations (21.2% saved)

regimes15.0ms (0%)

Accuracy

Total -0.1b remaining (-2.4%)

Threshold costs -0.1b (-2.4%)

Counts

2 → 1

Calls

Call 1

Inputs

(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 (*.f32 u0 (pow.f32 alphax 2)) (-.f32 1 u0)) (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 2 (/.f32 (/.f32 alphax u1) (PI.f32)))))) 2)))))

(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (*.f32 u0 (pow.f32 alphax 2)) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax))) 2)))))

Outputs
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 u0 (pow.f32 alphax 2)) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) 2)))))

Calls

4 calls:

3.0ms	alphax
3.0ms	u1
3.0ms	alphay
3.0ms	u0

Results

Error	Segments	Branch
3.8b	1	`u0`
3.8b	1	`u1`
3.8b	1	`alphax`
3.8b	1	`alphay`

Compiler

Compiled 77 to 61 computations (20.8% saved)

simplify13.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	1036

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Outputs
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (.f32 alphay alphay))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))) (*.f32 alphay alphay))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 (/.f32 1 (/.f32 (/.f32 1 u0) (pow.f32 alphay 2))) (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))) alphax)))) 2)) (-.f32 1 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 (.f32 u0 (pow.f32 alphay 2)) (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))) alphax)))) 2)) (-.f32 1 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 (.f32 u0 (pow.f32 alphay 2)) (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) 2)) (-.f32 1 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 u0 (pow.f32 alphay 2)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 u0 (pow.f32 alphax 2)) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) 2)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 (.f32 u0 (pow.f32 alphax 2)) (-.f32 1 u0)) (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 2 (/.f32 (/.f32 alphax u1) (PI.f32)))))) 2)))))

Compiler

Compiled 357 to 277 computations (22.4% saved)

soundness82.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1386×	`rational.json-simplify-21`
1338×	`rational.json-simplify-29`
974×	`rational.json-simplify-23`
472×	`rational.json-simplify-24`
458×	`rational.json-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	291
1	80	291
2	210	253
3	772	253
4	4435	253

Stop Event

1×	node limit

Compiler

Compiled 92 to 64 computations (30.4% saved)

end189.0ms (0.4%)

Compiler: Compiled 329 to 239 computations (27.4% saved)

Details

analyze1.2s (2.2%)

sample7.6s (14.2%)

preprocess56.0ms (0.1%)

simplify42.0ms (0.1%)

eval6.0ms (0%)

prune2.0ms (0%)

localize417.0ms (0.8%)

series20.0ms (0%)

rewrite147.0ms (0.3%)

simplify306.0ms (0.6%)

eval5.4s (10.1%)

prune3.7s (7%)

localize426.0ms (0.8%)

series3.0ms (0%)

rewrite52.0ms (0.1%)

simplify66.0ms (0.1%)

localize426.0ms (0.8%)

localize437.0ms (0.8%)

series7.0ms (0%)

rewrite64.0ms (0.1%)

simplify119.0ms (0.2%)

eval9.4s (17.4%)

prune4.0s (7.4%)

localize474.0ms (0.9%)

localize425.0ms (0.8%)

series35.0ms (0.1%)

rewrite125.0ms (0.2%)

simplify399.0ms (0.7%)

localize750.0ms (1.4%)

eval6.6s (12.2%)

prune2.9s (5.5%)

localize223.0ms (0.4%)

series7.0ms (0%)

rewrite80.0ms (0.1%)

simplify148.0ms (0.3%)

localize179.0ms (0.3%)

series12.0ms (0%)

rewrite69.0ms (0.1%)

simplify131.0ms (0.2%)

localize320.0ms (0.6%)

series16.0ms (0%)

rewrite89.0ms (0.2%)

simplify193.0ms (0.4%)

localize368.0ms (0.7%)

series28.0ms (0.1%)

rewrite139.0ms (0.3%)

simplify320.0ms (0.6%)

localize509.0ms (0.9%)

eval2.8s (5.2%)

prune1.6s (3.1%)

regimes270.0ms (0.5%)

regimes68.0ms (0.1%)

regimes86.0ms (0.2%)

regimes25.0ms (0%)

regimes22.0ms (0%)

regimes18.0ms (0%)

regimes15.0ms (0%)

simplify13.0ms (0%)

soundness82.0ms (0.2%)

end189.0ms (0.4%)

Profiling