Details

analyze1.9s (4.4%)

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)

sample15.3s (35.1%)

Results

15.3s

8256×

body

256

valid

Bogosity

preprocess94.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

1634×	`rational.json-simplify-46`
1618×	`rational.json-simplify-19`
838×	`rational.json-simplify-2`
838×	`rational.json-simplify-41`
698×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	2037
1	422	2037
2	1046	1813
3	2975	1813
4	7693	1813
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 u0 (/.f32 (/.f32 1 (-.f32 1 u0)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 2 (.f32 (PI.f32) u1)) (.f32 (PI.f32) 1/2)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 2 (.f32 (PI.f32) u1)) (.f32 (PI.f32) 1/2)))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 2 (.f32 (PI.f32) u1)) (.f32 (PI.f32) 1/2)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 2 (.f32 (PI.f32) u1)) (.f32 (PI.f32) 1/2)))))) (*.f32 alphay alphay)))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (.f32 (/.f32 1 (+.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 u0 (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (.f32 u0 (/.f32 (/.f32 1 (-.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)) 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 u1 (/.f32 (/.f32 1 (-.f32 1 u1)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (PI.f32) 1/2) (.f32 2 (.f32 (PI.f32) u0))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (PI.f32) 1/2) (.f32 2 (.f32 (PI.f32) u0))))))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (PI.f32) 1/2) (.f32 2 (.f32 (PI.f32) u0))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (PI.f32) 1/2) (.f32 2 (.f32 (PI.f32) u0))))))) (*.f32 alphay alphay)))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (.f32 u1 (/.f32 1 (.f32 (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u0))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u0))))))) (.f32 alphax alphax))) (.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 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 1 (.f32 (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (+.f32 (.f32 2 (.f32 (PI.f32) u1)) (.f32 (PI.f32) 1/2))) (/.f32 alphay u0)))) (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (+.f32 (.f32 2 (.f32 (PI.f32) u1)) (.f32 (PI.f32) 1/2))) (/.f32 alphay u0)))) (.f32 u0 u0))) (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (+.f32 (.f32 2 (.f32 (PI.f32) u1)) (.f32 (PI.f32) 1/2))) (/.f32 alphay u0)))) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (+.f32 (.f32 2 (.f32 (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 1 (.f32 (+.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 alphax (/.f32 (/.f32 1 (-.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 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))) (/.f32 alphay u0)))) alphay) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))) (/.f32 alphay u0)))) alphay))))))))
(/.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 alphay (/.f32 (/.f32 1 (-.f32 1 alphay)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (+.f32 (.f32 2 (.f32 (PI.f32) u1)) (.f32 (PI.f32) 1/2))) (/.f32 u0 alphax)))) (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (+.f32 (.f32 2 (.f32 (PI.f32) u1)) (.f32 (PI.f32) 1/2))) (/.f32 u0 alphax)))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (+.f32 (.f32 2 (.f32 (PI.f32) u1)) (.f32 (PI.f32) 1/2))) (/.f32 u0 alphax)))) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (+.f32 (.f32 2 (.f32 (PI.f32) u1)) (.f32 (PI.f32) 1/2))) (/.f32 u0 alphax)))) (*.f32 u0 u0)))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (.f32 alphay (/.f32 (/.f32 1 (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))) (/.f32 u0 alphax)))) (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))) (/.f32 u0 alphax))))) (.f32 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 alphay (/.f32 (/.f32 1 (-.f32 1 alphay)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))) (/.f32 u0 alphax)))) (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))) (/.f32 u0 alphax)))) (.f32 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 (/.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 (sin.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (+.f32 (.f32 (PI.f32) 1/2) (.f32 alphax (.f32 2 (PI.f32)))))))) (/.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 u0 (/.f32 1 (.f32 (+.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 (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 u0 (/.f32 1 (.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 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 alphax 2))))))) alphay) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (*.f32 alphax 2))))))) 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 (cos.f32 (atan.f32 (.f32 (/.f32 u1 alphax) (tan.f32 (+.f32 (.f32 (PI.f32) 1/2) (.f32 alphay (.f32 2 (PI.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 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 (/.f32 1 (-.f32 1 u0)) (+.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 (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 (sqrt.f32 (+.f32 1 (.f32 u0 (/.f32 (/.f32 1 (-.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 (-.f32 1 u0)) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 u1 alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 alphay 2))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 u1 alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 alphay 2))))))) (.f32 alphax 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 (.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 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (+.f32 (.f32 2 (.f32 (PI.f32) u1)) (.f32 (PI.f32) 1/2))) (/.f32 alphax alphay)))) (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (+.f32 (.f32 2 (.f32 (PI.f32) u1)) (.f32 (PI.f32) 1/2))) (/.f32 alphax alphay)))) (.f32 alphay alphay))) (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (+.f32 (.f32 2 (.f32 (PI.f32) u1)) (.f32 (PI.f32) 1/2))) (/.f32 alphax alphay)))) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (+.f32 (.f32 2 (.f32 (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 1 (.f32 (-.f32 1 u0) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))) (/.f32 alphax alphay)))) (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))) (/.f32 alphax alphay)))) (.f32 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)

simplify123.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1060×	`rational.json-simplify-38`
924×	`rational.json-simplify-59`
922×	`rational.json-simplify-1`
910×	`rational.json-simplify-2`
830×	`rational.json-simplify-55`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	291
1	86	291
2	198	259
3	542	259
4	2610	259
5	6868	259
6	7597	259

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

eval6.0ms (0%)

Compiler: Compiled 428 to 280 computations (34.6% 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 1 (+.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 u0 (-.f32 1 u0))))))

Status

Error

Program

▶

0.2b

(/.f32 1 (sqrt.f32 (+.f32 1 (*.f32 (/.f32 1 (+.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 u0 (-.f32 1 u0))))))

Compiler

Compiled 84 to 60 computations (28.6% saved)

localize925.0ms (2.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (.f32 alphax alphax))
✓	0.4b	(.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))
✓	12.1b	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))))))
✓	12.4b	(tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))

Compiler

Compiled 653 to 408 computations (37.5% saved)

series15.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite77.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1386×	`exponential.json-3`
1386×	`rational.json-1`
1386×	`rational.json-2`
1386×	`rational.json-4`
1386×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	148
1	139	148
2	324	148
3	901	148
4	3495	148

Stop Event

1×	node limit

Counts

4 → 90

Calls

Call 1

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

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

simplify142.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1268×	`rational.json-simplify-43`
1248×	`rational.json-simplify-57`
1032×	`rational.json-simplify-35`
994×	`rational.json-simplify-38`
740×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	237	9612
1	533	9600
2	1619	9444
3	5027	9396

Stop Event

1×	node limit

Counts

186 → 141

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))))
(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 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 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) (pow.f32 alphax 2))
(/.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) (pow.f32 alphax 2))
(/.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) (pow.f32 alphax 2))
(/.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) (pow.f32 alphax 2))
(/.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) (pow.f32 alphax 2))
(/.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) (pow.f32 alphax 2))
(/.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) (pow.f32 alphax 2))
(/.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) (pow.f32 alphax 2))
(/.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) (pow.f32 alphax 2))
(/.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) (pow.f32 alphax 2))
(/.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) (pow.f32 alphax 2))
(/.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) (pow.f32 alphax 2))
(/.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) (pow.f32 alphax 2))
(/.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) (pow.f32 alphax 2))
(/.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) (pow.f32 alphax 2))
(/.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) (pow.f32 alphax 2))
(/.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) (pow.f32 alphax 2))
(/.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) (pow.f32 alphax 2))
(/.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) (pow.f32 alphax 2))
(/.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) (pow.f32 alphax 2))
(/.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) (pow.f32 alphax 2))
(/.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) (pow.f32 alphax 2))
(/.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) (pow.f32 alphax 2))
(/.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) (pow.f32 alphax 2))
(/.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) (pow.f32 alphax 2))
(/.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) (pow.f32 alphax 2))
(/.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) (pow.f32 alphax 2))
(/.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) (pow.f32 alphax 2))
(/.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) (pow.f32 alphax 2))
(/.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) (pow.f32 alphax 2))
(/.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) (pow.f32 alphax 2))
(/.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) (pow.f32 alphax 2))
(/.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) alphay) alphax))) (pow.f32 alphax 2))
(/.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) alphay) alphax))) (pow.f32 alphax 2))
(/.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) alphay) alphax))) (pow.f32 alphax 2))
(/.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) alphay) alphax))) (pow.f32 alphax 2))
(+.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) 0)
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(-.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) 0)
(.f32 1/2 (.f32 2 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))
(.f32 2 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) 2))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) 1)
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(.f32 (.f32 2 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))) 1/2)
(.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) 2) 2)
(/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) 1)
(/.f32 (.f32 2 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))) 2)
(/.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) 4) 4)
(/.f32 (.f32 2 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) 4)) 8)
(pow.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) 1)
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(+.f32 -1 (-.f32 1 (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))))))
(-.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 0)
(-.f32 0 (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax))))))
(.f32 1/2 (.f32 2 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax))))))
(.f32 2 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2))
(.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 1)
(.f32 1 (cos.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))))
(.f32 (.f32 2 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax))))) 1/2)
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(.f32 1/4 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 4))
(.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 2) 2)
(/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 1)
(/.f32 (.f32 2 (cos.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax))))) 2)
(/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 4) 4)
(/.f32 (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax))))) -1)
(/.f32 (.f32 2 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 4)) 8)
(pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 1)
(neg.f32 (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax))))))
(+.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))) 0)
(+.f32 0 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))
(-.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))) 0)
(/.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))) 1)
(/.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 1/2 (.f32 u1 4)))) 2)
(/.f32 (.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))) 4) 4)
(/.f32 (.f32 2 (.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))) 4)) 8)
(pow.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))) 1)
(+.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) (*.f32 alphax alphax)) 0)
(+.f32 0 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) (*.f32 alphax alphax)))
(-.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) (*.f32 alphax alphax)) 0)
(.f32 1/2 (.f32 2 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) (*.f32 alphax alphax))))
(.f32 2 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) (.f32 2 (*.f32 alphax alphax))))
(.f32 2 (/.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) (.f32 alphax alphax)) 2))
(.f32 alphax (/.f32 alphax (/.f32 (.f32 alphax (.f32 alphax (.f32 alphax alphax))) (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))))))
(.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) (/.f32 1 (.f32 alphax alphax)))
(.f32 (.f32 alphax alphax) (/.f32 1 (/.f32 (.f32 alphax (.f32 alphax (.f32 alphax alphax))) (cos.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))))))
(.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) (.f32 alphax alphax)) 1)
(.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) (.f32 alphax alphax)) (/.f32 (fabs.f32 alphax) (fabs.f32 alphax)))
(.f32 1 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) (.f32 alphax alphax)))
(.f32 (.f32 2 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax))))) (/.f32 1/2 (*.f32 alphax alphax)))
(.f32 (.f32 2 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax))))) (*.f32 (/.f32 1 alphax) (/.f32 1/2 alphax)))
(.f32 (.f32 2 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax))))) (.f32 1/2 (/.f32 1 (.f32 alphax alphax))))
(.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) alphax) (/.f32 1 alphax))
(.f32 -1 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) (neg.f32 (.f32 alphax alphax))))
(.f32 -1 (/.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) alphax) (neg.f32 alphax)))
(.f32 (.f32 2 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) (*.f32 alphax alphax))) 1/2)
(.f32 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 4) (/.f32 1 (.f32 (.f32 alphax alphax) 4)))
(.f32 (.f32 2 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) alphax)) (/.f32 1/2 alphax))
(.f32 (fabs.f32 alphax) (/.f32 (fabs.f32 alphax) (/.f32 (.f32 alphax (.f32 alphax (.f32 alphax alphax))) (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))))))
(.f32 (/.f32 1 alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) alphax))
(.f32 (/.f32 1 (.f32 alphax alphax)) (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))))
(.f32 (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax))))) (/.f32 -1 (.f32 alphax alphax)))
(.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) (neg.f32 alphax)) (/.f32 -1 alphax))
(.f32 (/.f32 1/2 (.f32 alphax alphax)) (.f32 2 (cos.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax))))))
(.f32 (/.f32 1/2 alphax) (.f32 2 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) alphax)))
(.f32 (.f32 1/2 alphax) (/.f32 (+.f32 alphax alphax) (/.f32 (.f32 alphax (.f32 alphax (.f32 alphax alphax))) (cos.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))))))
(.f32 (/.f32 (fabs.f32 alphax) (fabs.f32 alphax)) (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) (.f32 alphax alphax)))
(.f32 (.f32 (/.f32 1 alphax) (/.f32 1/2 alphax)) (.f32 2 (cos.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax))))))
(.f32 (.f32 1/2 (/.f32 1 (.f32 alphax alphax))) (.f32 2 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax))))))
(.f32 (/.f32 1 (/.f32 (.f32 alphax (.f32 alphax (.f32 alphax alphax))) (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))))) (*.f32 alphax alphax))
(.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) (neg.f32 (.f32 alphax alphax))) -1)
(.f32 (/.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) alphax) (neg.f32 alphax)) -1)
(.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) (.f32 2 (*.f32 alphax alphax))) 2)
(.f32 (/.f32 alphax (/.f32 (.f32 alphax (.f32 alphax (.f32 alphax alphax))) (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))))) alphax)
(.f32 (/.f32 (+.f32 alphax alphax) (/.f32 (.f32 alphax (.f32 alphax (.f32 alphax alphax))) (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))))) (*.f32 1/2 alphax))
(.f32 (/.f32 (fabs.f32 alphax) (/.f32 (.f32 alphax (.f32 alphax (.f32 alphax alphax))) (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))))) (fabs.f32 alphax))
(.f32 (/.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) (.f32 alphax alphax)) 2) 2)
(.f32 (/.f32 1 (.f32 (.f32 alphax alphax) 4)) (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) 4))
(.f32 (/.f32 -1 (.f32 alphax alphax)) (neg.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax))))))
(.f32 (/.f32 -1 alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) (neg.f32 alphax)))
(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) (*.f32 alphax alphax)) 1)
(neg.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) (neg.f32 (*.f32 alphax alphax))))
(neg.f32 (/.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))) alphax) (neg.f32 alphax)))

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

eval2.1s (4.8%)

Compiler: Compiled 32482 to 21714 computations (33.2% saved)

prune609.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	332	3	335
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	332	4	336

Error

0.2b

Counts

336 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (.f32 (/.f32 1 (+.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 u0 (-.f32 1 u0))))))
▶	0.4b	(/.f32 1 (sqrt.f32 (+.f32 1 (.f32 (/.f32 1 (+.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 u0 (-.f32 1 u0))))))
▶	0.9b	(/.f32 1 (sqrt.f32 (+.f32 1 (.f32 (/.f32 1 (+.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 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 u0 (-.f32 1 u0))))))
▶	0.6b	(/.f32 1 (sqrt.f32 (+.f32 1 (.f32 (/.f32 1 (+.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 u0 (-.f32 1 u0))))))

Compiler

Compiled 326 to 232 computations (28.8% saved)

localize688.0ms (1.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	12.1b	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))))))
	12.4b	(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 655 to 404 computations (38.3% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
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	alphax	@	-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))))))

rewrite89.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1872×	`rational.json-1`
1872×	`rational.json-2`
1872×	`rational.json-4`
1872×	`rational.json-3`
746×	`rational.json-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	46
1	95	46
2	214	46
3	499	46
4	1206	46
5	5052	46

Stop Event

1×	node limit

Counts

2 → 34

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 (PI.f32) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (tan.f32 (/.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (tan.f32 (/.f32 (PI.f32) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (tan.f32 (/.f32 (PI.f32) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (tan.f32 (/.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 1/2 (tan.f32 (/.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 4 (/.f32 (tan.f32 (/.f32 (PI.f32) 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 1/2 (tan.f32 (/.f32 (PI.f32) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (tan.f32 (/.f32 (PI.f32) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) 4)) (.f32 2 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (tan.f32 (/.f32 (PI.f32) 2)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (cos.f32 (atan.f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (cos.f32 (atan.f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 1/2 (cos.f32 (atan.f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 4 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 1/2 (cos.f32 (atan.f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 4)) (.f32 2 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (tan.f32 (/.f32 (PI.f32) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (tan.f32 (/.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (tan.f32 (/.f32 (PI.f32) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (tan.f32 (/.f32 (PI.f32) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (tan.f32 (/.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 1/2 (tan.f32 (/.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (tan.f32 (/.f32 (PI.f32) 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 1/2 (tan.f32 (/.f32 (PI.f32) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (tan.f32 (/.f32 (PI.f32) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) 4)) (*.f32 2 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (tan.f32 (/.f32 (PI.f32) 2)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 1/2 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 1/2 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 4)) (*.f32 2 (*.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 1)))))

simplify342.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1948×	`rational.json-simplify-35`
1836×	`rational.json-simplify-2`
1586×	`rational.json-simplify-1`
1348×	`rational.json-simplify-52`
1340×	`rational.json-simplify-53`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	1574
1	138	1574
2	352	1574
3	925	1574
4	1572	1574
5	2711	1574
6	3440	1574
7	3789	1574
8	4093	1574
9	4859	1574
10	5213	1574
11	5779	1574
12	6086	1574
13	6360	1574
14	6869	1574
15	7935	1574

Stop Event

1×	node limit

Counts

58 → 38

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)))
(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)))
(+.f32 (tan.f32 (/.f32 (PI.f32) 2)) 0)
(+.f32 0 (tan.f32 (/.f32 (PI.f32) 2)))
(-.f32 (tan.f32 (/.f32 (PI.f32) 2)) 0)
(.f32 1/2 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) 2))
(*.f32 (tan.f32 (/.f32 (PI.f32) 2)) 1)
(*.f32 1 (tan.f32 (/.f32 (PI.f32) 2)))
(.f32 2 (.f32 1/2 (tan.f32 (/.f32 (PI.f32) 2))))
(.f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) 2) 1/2)
(*.f32 4 (/.f32 (tan.f32 (/.f32 (PI.f32) 2)) 4))
(.f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) 4) 1/4)
(.f32 (.f32 1/2 (tan.f32 (/.f32 (PI.f32) 2))) 2)
(/.f32 (tan.f32 (/.f32 (PI.f32) 2)) 1)
(/.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) 2) 2)
(/.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) 4) 4)
(/.f32 (.f32 2 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) 4)) 8)
(/.f32 (+.f32 (.f32 2 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) 4)) (.f32 2 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) 4))) 16)
(pow.f32 (tan.f32 (/.f32 (PI.f32) 2)) 1)
(+.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 0)
(+.f32 0 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))))
(-.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 0)
(.f32 1/2 (.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 2))
(.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 1)
(.f32 1 (cos.f32 (atan.f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))))
(.f32 2 (.f32 1/2 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax))))))
(.f32 (.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 2) 1/2)
(.f32 4 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 4))
(.f32 (.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 4) 1/4)
(.f32 (.f32 1/2 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax))))) 2)
(/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 1)
(/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 2) 2)
(/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 4) 4)
(/.f32 (.f32 2 (.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 4)) 8)
(/.f32 (+.f32 (.f32 2 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 4)) (.f32 2 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 4))) 16)
(pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 1)

Outputs
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))
(+.f32 (tan.f32 (/.f32 (PI.f32) 2)) 0)
(tan.f32 (/.f32 (PI.f32) 2))
(+.f32 0 (tan.f32 (/.f32 (PI.f32) 2)))
(tan.f32 (/.f32 (PI.f32) 2))
(-.f32 (tan.f32 (/.f32 (PI.f32) 2)) 0)
(tan.f32 (/.f32 (PI.f32) 2))
(.f32 1/2 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) 2))
(tan.f32 (/.f32 (PI.f32) 2))
(*.f32 (tan.f32 (/.f32 (PI.f32) 2)) 1)
(tan.f32 (/.f32 (PI.f32) 2))
(*.f32 1 (tan.f32 (/.f32 (PI.f32) 2)))
(tan.f32 (/.f32 (PI.f32) 2))
(.f32 2 (.f32 1/2 (tan.f32 (/.f32 (PI.f32) 2))))
(tan.f32 (/.f32 (PI.f32) 2))
(.f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) 2) 1/2)
(tan.f32 (/.f32 (PI.f32) 2))
(*.f32 4 (/.f32 (tan.f32 (/.f32 (PI.f32) 2)) 4))
(tan.f32 (/.f32 (PI.f32) 2))
(.f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) 4) 1/4)
(tan.f32 (/.f32 (PI.f32) 2))
(.f32 (.f32 1/2 (tan.f32 (/.f32 (PI.f32) 2))) 2)
(tan.f32 (/.f32 (PI.f32) 2))
(/.f32 (tan.f32 (/.f32 (PI.f32) 2)) 1)
(tan.f32 (/.f32 (PI.f32) 2))
(/.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) 2) 2)
(tan.f32 (/.f32 (PI.f32) 2))
(/.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) 4) 4)
(tan.f32 (/.f32 (PI.f32) 2))
(/.f32 (.f32 2 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) 4)) 8)
(tan.f32 (/.f32 (PI.f32) 2))
(/.f32 (+.f32 (.f32 2 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) 4)) (.f32 2 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) 4))) 16)
(tan.f32 (/.f32 (PI.f32) 2))
(pow.f32 (tan.f32 (/.f32 (PI.f32) 2)) 1)
(tan.f32 (/.f32 (PI.f32) 2))
(+.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 0)
(cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax))))
(+.f32 0 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))))
(cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax))))
(-.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 0)
(cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax))))
(.f32 1/2 (.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 2))
(cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax))))
(.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 1)
(cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax))))
(.f32 1 (cos.f32 (atan.f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))))
(cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax))))
(.f32 2 (.f32 1/2 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax))))))
(cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax))))
(.f32 (.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 2) 1/2)
(cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax))))
(.f32 4 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 4))
(cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax))))
(.f32 (.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 4) 1/4)
(cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax))))
(.f32 (.f32 1/2 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax))))) 2)
(cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax))))
(/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 1)
(cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax))))
(/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 2) 2)
(cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax))))
(/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 4) 4)
(cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax))))
(/.f32 (.f32 2 (.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 4)) 8)
(cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax))))
(/.f32 (+.f32 (.f32 2 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 4)) (.f32 2 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 4))) 16)
(cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax))))
(pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax)))) 1)
(cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (PI.f32) 2)) (/.f32 alphay alphax))))

localize454.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
	0.4b	(.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))
	12.1b	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))))))
	12.4b	(tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))

Compiler

Compiled 681 to 417 computations (38.8% saved)

series14.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	u1	@	0	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
3.0ms	alphay	@	0	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
2.0ms	u1	@	-inf	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
1.0ms	alphax	@	0	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
1.0ms	u1	@	inf	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))

rewrite95.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1910×	`rational.json-1`
1910×	`rational.json-2`
1910×	`rational.json-4`
1910×	`rational.json-3`
734×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	96	31
2	215	31
3	479	31
4	1171	31
5	5071	31

Stop Event

1×	node limit

Counts

1 → 142

Calls

Call 1

Inputs
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))

Outputs

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

simplify121.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1662×	`rational.json-simplify-35`
1010×	`rational.json-simplify-51`
812×	`rational.json-simplify-61`
774×	`rational.json-simplify-44`
674×	`rational.json-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	410	7290
1	1544	7138
2	5494	7090

Stop Event

1×	node limit

Counts

178 → 174

Calls

Call 1

Inputs
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(+.f32 (/.f32 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 -4 (pow.f32 (PI.f32) 3))) (.f32 alphay (pow.f32 u1 3))) alphax) (.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax)))
(+.f32 (.f32 2 (/.f32 (.f32 alphay (.f32 u1 (PI.f32))) alphax)) (+.f32 (/.f32 (.f32 alphay (.f32 (-.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))))) (pow.f32 u1 5))) alphax) (/.f32 (.f32 alphay (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (*.f32 -4 (pow.f32 (PI.f32) 3))) (pow.f32 u1 3))) alphax)))
(+.f32 (/.f32 (.f32 alphay (.f32 (pow.f32 u1 5) (-.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) (+.f32 (/.f32 (.f32 alphay (.f32 (-.f32 (.f32 -8/315 (pow.f32 (PI.f32) 7)) (+.f32 (.f32 -2 (.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))))))) (+.f32 (.f32 2/3 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 -4 (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 4))) (.f32 -8/45 (pow.f32 (PI.f32) 7))))) (pow.f32 u1 7))) alphax) (+.f32 (.f32 2 (/.f32 (.f32 alphay (.f32 u1 (PI.f32))) alphax)) (/.f32 (.f32 alphay (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (*.f32 -4 (pow.f32 (PI.f32) 3))) (pow.f32 u1 3))) alphax))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax)) 0)
(+.f32 0 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax)))
(-.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax)) 0)
(/.f32 alphay (/.f32 alphax (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))
(/.f32 alphay (.f32 (/.f32 alphax (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))) 1))
(/.f32 alphay (.f32 -1 (/.f32 alphax (neg.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))))
(/.f32 (/.f32 alphay alphax) (/.f32 1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))
(/.f32 (/.f32 alphay alphax) (.f32 (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))) 1))
(/.f32 (/.f32 alphay alphax) (.f32 1/2 (/.f32 2 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))))
(/.f32 2 (/.f32 (.f32 alphax (/.f32 2 alphay)) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))
(/.f32 2 (+.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))) (/.f32 (/.f32 alphax alphay) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))))
(/.f32 2 (.f32 (/.f32 (.f32 alphax (/.f32 2 alphay)) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))) 1))
(/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))) (/.f32 alphax alphay))
(/.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax)) 1)
(/.f32 1 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))
(/.f32 1 (.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))) 1))
(/.f32 (+.f32 alphay alphay) (/.f32 2 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))) alphax)))
(/.f32 (+.f32 alphay alphay) (+.f32 (/.f32 alphax (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))) (/.f32 alphax (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))))
(/.f32 (+.f32 alphay alphay) (.f32 (/.f32 2 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax)) 1))
(/.f32 (+.f32 alphay alphay) (.f32 -2 (/.f32 alphax (neg.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))))
(/.f32 (.f32 (/.f32 alphay alphax) (.f32 2 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))))) 2)
(/.f32 (/.f32 (+.f32 alphay alphay) alphax) (/.f32 2 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))
(/.f32 (/.f32 (+.f32 alphay alphay) alphax) (+.f32 (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))) (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))))
(/.f32 (/.f32 (+.f32 alphay alphay) alphax) (.f32 2 (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))))
(/.f32 (/.f32 (+.f32 alphay alphay) alphax) (.f32 (/.f32 2 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))) 1))
(/.f32 (.f32 alphay 4) (+.f32 (/.f32 2 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax)) (/.f32 2 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))) alphax))))
(/.f32 (.f32 alphay 4) (/.f32 (.f32 alphax 4) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))
(/.f32 (.f32 alphay 4) (.f32 4 (/.f32 alphax (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))))))
(/.f32 (.f32 alphay 4) (.f32 (.f32 alphax 4) (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))))
(/.f32 (.f32 alphay 4) (.f32 2 (/.f32 2 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))) alphax))))
(/.f32 (.f32 alphay 4) (.f32 (+.f32 alphax alphax) (/.f32 2 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))))))
(/.f32 (.f32 alphay 4) (.f32 -4 (/.f32 alphax (neg.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))))
(/.f32 (.f32 alphay 4) (/.f32 4 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax)))
(/.f32 (.f32 2 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))) (*.f32 alphax (/.f32 2 alphay)))
(/.f32 (/.f32 1 alphax) (/.f32 (/.f32 1 alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))
(/.f32 (/.f32 1 alphax) (.f32 (/.f32 1 alphay) (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))))
(/.f32 (neg.f32 alphay) (/.f32 alphax (neg.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))))))
(/.f32 (neg.f32 alphay) (.f32 (/.f32 alphax (neg.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) 1))
(/.f32 (neg.f32 alphay) (/.f32 (neg.f32 (+.f32 alphax alphax)) (.f32 2 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))))
(/.f32 (neg.f32 alphay) (/.f32 -1 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))) alphax)))
(/.f32 (/.f32 alphax alphay) (.f32 (.f32 alphax (/.f32 (/.f32 alphax alphay) alphay)) (/.f32 1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))))))
(/.f32 -1 (/.f32 (/.f32 alphax (neg.f32 alphay)) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))
(/.f32 -1 (.f32 (neg.f32 (/.f32 alphax alphay)) (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))))
(/.f32 (.f32 alphax (/.f32 2 alphay)) (.f32 (.f32 2 (.f32 alphax (/.f32 (/.f32 alphax alphay) alphay))) (/.f32 1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))))))
(/.f32 (.f32 alphax (/.f32 2 alphay)) (.f32 (.f32 alphax (/.f32 (/.f32 alphax alphay) alphay)) (/.f32 2 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))))
(/.f32 4 (+.f32 (/.f32 (.f32 alphax (/.f32 2 alphay)) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))) (/.f32 (.f32 alphax (/.f32 2 alphay)) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))))
(/.f32 4 (/.f32 (/.f32 (.f32 alphax 4) alphay) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))
(/.f32 4 (.f32 (/.f32 (.f32 alphax 4) alphay) (/.f32 1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))))))
(/.f32 4 (.f32 (.f32 alphax (/.f32 2 alphay)) (/.f32 2 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))))))
(/.f32 (.f32 (/.f32 alphay alphax) (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))) 4)) 4)
(/.f32 (/.f32 (.f32 alphay 4) alphax) (+.f32 (/.f32 2 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))) (/.f32 2 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))))))
(/.f32 (/.f32 (.f32 alphay 4) alphax) (/.f32 4 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))
(/.f32 (/.f32 (.f32 alphay 4) alphax) (.f32 4 (/.f32 1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))))))
(/.f32 (/.f32 (.f32 alphay 4) alphax) (.f32 2 (/.f32 2 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))))))
(/.f32 (.f32 alphay 8) (/.f32 (.f32 alphax 8) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))
(/.f32 (.f32 alphay 8) (.f32 8 (/.f32 alphax (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))))))
(/.f32 (.f32 alphay 8) (.f32 (.f32 alphax 8) (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))))
(/.f32 (.f32 alphay 8) (.f32 4 (/.f32 2 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))) alphax))))
(/.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 4) (/.f32 (*.f32 alphax 4) alphay))
(/.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 4) (.f32 (/.f32 (.f32 alphax 4) alphay) 1))
(/.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))) alphax) (/.f32 1 alphay))
(/.f32 1/2 (/.f32 (.f32 alphax (/.f32 1/2 alphay)) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))
(/.f32 1/2 (/.f32 (/.f32 alphax alphay) (.f32 2 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))))
(/.f32 1/2 (/.f32 (/.f32 1/2 alphay) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))) alphax)))
(/.f32 (/.f32 1/2 alphax) (/.f32 (/.f32 1/2 alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))
(/.f32 (.f32 alphay -2) (+.f32 (/.f32 alphax (neg.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (/.f32 alphax (neg.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))))
(/.f32 (.f32 alphay -2) (/.f32 (.f32 alphax -2) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))
(/.f32 (.f32 alphay -2) (/.f32 (neg.f32 (+.f32 alphax alphax)) (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))
(/.f32 (.f32 alphay -2) (.f32 (.f32 alphax -2) (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))))
(/.f32 (.f32 alphay -2) (.f32 (neg.f32 (+.f32 alphax alphax)) (/.f32 1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))))))
(/.f32 (.f32 alphay -2) (.f32 (neg.f32 alphax) (/.f32 2 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))))))
(/.f32 (.f32 alphay -2) (.f32 2 (/.f32 alphax (neg.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))))
(/.f32 (.f32 (/.f32 alphay alphax) (/.f32 alphay alphax)) (/.f32 (/.f32 (+.f32 alphay alphay) alphax) (.f32 2 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))))))
(/.f32 (.f32 2 (.f32 (/.f32 alphay alphax) (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 4))) 8)
(/.f32 (.f32 2 (/.f32 (.f32 alphay 4) alphax)) (.f32 8 (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))))
(/.f32 (.f32 2 (.f32 alphay 8)) (.f32 (.f32 2 (.f32 alphax 8)) (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))))
(/.f32 (.f32 2 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 4)) (+.f32 (/.f32 (.f32 alphax 4) alphay) (/.f32 (*.f32 alphax 4) alphay)))
(/.f32 (.f32 2 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 4)) (.f32 8 (/.f32 alphax alphay)))
(/.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) (/.f32 1/2 alphax)) (/.f32 1/2 alphay))
(/.f32 (/.f32 alphay (neg.f32 alphax)) (/.f32 -1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))
(/.f32 (/.f32 alphay (neg.f32 alphax)) (.f32 -1 (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))))
(/.f32 (/.f32 (.f32 alphax 4) alphay) (.f32 (.f32 2 (.f32 alphax (/.f32 (/.f32 alphax alphay) alphay))) (/.f32 2 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))))))
(/.f32 (.f32 (/.f32 alphax alphay) (/.f32 (+.f32 alphay alphay) alphax)) (/.f32 (.f32 alphax (/.f32 2 alphay)) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))
(/.f32 (/.f32 (.f32 alphay 1/2) alphax) (/.f32 1 (.f32 2 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))))))
(/.f32 (/.f32 (.f32 alphay 1/2) alphax) (.f32 1/2 (/.f32 1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))))))
(/.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 1/2) (*.f32 alphax (/.f32 1/2 alphay)))
(/.f32 (.f32 alphay (/.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax) 2)) 1/2)
(/.f32 (neg.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))) (neg.f32 (/.f32 alphax alphay)))
(/.f32 (neg.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))) (.f32 (neg.f32 (/.f32 alphax alphay)) 1))
(/.f32 (.f32 4 (neg.f32 alphay)) (.f32 (.f32 2 (.f32 alphax -2)) (/.f32 1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))))))
(/.f32 (.f32 4 (neg.f32 alphay)) (.f32 (.f32 2 (neg.f32 (+.f32 alphax alphax))) (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))))
(/.f32 (.f32 4 (neg.f32 alphay)) (.f32 (neg.f32 (.f32 alphax 4)) (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))))
(/.f32 (.f32 4 (neg.f32 alphay)) (.f32 4 (/.f32 alphax (neg.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))))
(/.f32 (neg.f32 (.f32 alphay -2)) (/.f32 2 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax)))
(/.f32 (neg.f32 (/.f32 alphay alphax)) (/.f32 -1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))
(/.f32 (+.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax) (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax)) (+.f32 (/.f32 1 alphay) (/.f32 1 alphay)))
(/.f32 (+.f32 (.f32 2 (.f32 (/.f32 alphay alphax) (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 4))) (.f32 2 (.f32 (/.f32 alphay alphax) (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 4)))) 16)
(/.f32 (+.f32 (neg.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))) (neg.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (+.f32 (neg.f32 (/.f32 alphax alphay)) (neg.f32 (/.f32 alphax alphay))))
(/.f32 (/.f32 (.f32 alphay 8) (/.f32 alphax (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) 8)
(/.f32 (/.f32 alphay (/.f32 1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))))) alphax)
(/.f32 (/.f32 2 (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (.f32 alphax (/.f32 2 alphay)))
(/.f32 (/.f32 1 (/.f32 1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))))) (/.f32 alphax alphay))
(/.f32 (/.f32 (+.f32 alphay alphay) (/.f32 1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))))) (+.f32 alphax alphax))
(/.f32 (/.f32 (.f32 alphay 4) (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (*.f32 alphax 4))
(/.f32 (/.f32 (/.f32 1 alphax) (/.f32 1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))))) (/.f32 1 alphay))
(/.f32 (/.f32 (neg.f32 alphay) (/.f32 1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))))) (neg.f32 alphax))
(/.f32 (/.f32 (/.f32 alphax alphay) (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (.f32 alphax (/.f32 (/.f32 alphax alphay) alphay)))
(/.f32 (/.f32 -1 (/.f32 1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))))) (neg.f32 (/.f32 alphax alphay)))
(/.f32 (/.f32 (.f32 alphax (/.f32 2 alphay)) (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (.f32 2 (.f32 alphax (/.f32 (/.f32 alphax alphay) alphay))))
(/.f32 (/.f32 4 (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (/.f32 (.f32 alphax 4) alphay))
(/.f32 (/.f32 (.f32 alphay 8) (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (*.f32 alphax 8))
(/.f32 (/.f32 (.f32 alphay -2) (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (*.f32 alphax -2))
(/.f32 (/.f32 (.f32 alphay -2) (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (neg.f32 (+.f32 alphax alphax)))
(/.f32 (/.f32 (.f32 2 (/.f32 (.f32 alphay 4) alphax)) (/.f32 1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))))) 8)
(/.f32 (/.f32 (.f32 2 (.f32 alphay 8)) (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (.f32 2 (*.f32 alphax 8)))
(/.f32 (/.f32 (/.f32 alphay (neg.f32 alphax)) (/.f32 1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))))) -1)
(/.f32 (/.f32 (.f32 4 (neg.f32 alphay)) (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (.f32 2 (.f32 alphax -2)))
(/.f32 (/.f32 (.f32 4 (neg.f32 alphay)) (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (*.f32 2 (neg.f32 (+.f32 alphax alphax))))
(/.f32 (/.f32 (.f32 4 (neg.f32 alphay)) (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (neg.f32 (*.f32 alphax 4)))
(/.f32 (/.f32 (neg.f32 (.f32 alphay -2)) (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (+.f32 alphax alphax))
(/.f32 (/.f32 (.f32 2 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))) 4)) (/.f32 alphax alphay)) 8)
(/.f32 (/.f32 2 (/.f32 2 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))))) (/.f32 alphax alphay))
(/.f32 (/.f32 1 (/.f32 2 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (.f32 alphax (/.f32 1/2 alphay)))
(/.f32 (/.f32 (+.f32 alphay alphay) (/.f32 2 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))))) alphax)
(/.f32 (/.f32 (.f32 alphay 4) (/.f32 2 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (+.f32 alphax alphax))
(/.f32 (/.f32 (.f32 alphax (/.f32 2 alphay)) (/.f32 2 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (*.f32 alphax (/.f32 (/.f32 alphax alphay) alphay)))
(/.f32 (/.f32 4 (/.f32 2 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (.f32 alphax (/.f32 2 alphay)))
(/.f32 (/.f32 (.f32 alphay -2) (/.f32 2 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (neg.f32 alphax))
(/.f32 (/.f32 (/.f32 (.f32 alphax 4) alphay) (/.f32 2 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (.f32 2 (.f32 alphax (/.f32 (/.f32 alphax alphay) alphay))))
(/.f32 (/.f32 (.f32 (/.f32 alphax alphay) (/.f32 (+.f32 alphay alphay) alphax)) (/.f32 2 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (/.f32 alphax alphay))
(/.f32 (/.f32 alphay (/.f32 alphax (neg.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))) -1)
(/.f32 (/.f32 (+.f32 alphay alphay) (/.f32 alphax (neg.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))) -2)
(/.f32 (/.f32 (.f32 alphay 4) (/.f32 alphax (neg.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) -4)
(/.f32 (/.f32 (.f32 4 (neg.f32 alphay)) (/.f32 alphax (neg.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 4)
(/.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))) (/.f32 1 alphay)) alphax)
(/.f32 (/.f32 (.f32 2 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))) alphax) (/.f32 2 alphay))
(/.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))) (neg.f32 alphax)) (/.f32 -1 alphay))
(/.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 1/2) (.f32 alphax (/.f32 2 alphay)))
(/.f32 (neg.f32 (.f32 2 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (-.f32 0 (*.f32 alphax (/.f32 2 alphay))))
(/.f32 (neg.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))) alphax)) (-.f32 0 (/.f32 1 alphay)))
(/.f32 (neg.f32 (neg.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))))) (/.f32 alphax alphay))
(pow.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax)) 1)

Outputs
(/.f32 (.f32 alphay (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 alphay (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax)))
(.f32 alphay (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax)))
(/.f32 (.f32 alphay (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 alphay (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax)))
(.f32 alphay (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax)))
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(/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) (.f32 (/.f32 alphay (/.f32 alphax 1)) (.f32 alphax (/.f32 alphax (.f32 alphay alphay)))))
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(/.f32 (/.f32 -1 (/.f32 1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))))) (neg.f32 (/.f32 alphax alphay)))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) (/.f32 alphay alphax))
(/.f32 (/.f32 (.f32 alphax (/.f32 2 alphay)) (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (.f32 2 (.f32 alphax (/.f32 (/.f32 alphax alphay) alphay))))
(/.f32 (/.f32 (.f32 alphax (/.f32 2 alphay)) (.f32 2 (.f32 alphax (/.f32 alphax (.f32 alphay alphay))))) (/.f32 1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))
(/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) (.f32 (/.f32 1 (.f32 alphax (/.f32 2 alphay))) (.f32 (/.f32 alphax (.f32 alphay alphay)) (.f32 2 alphax))))
(/.f32 (.f32 alphax (/.f32 2 alphay)) (.f32 2 (.f32 (/.f32 alphax (.f32 alphay alphay)) (/.f32 alphax (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))))
(/.f32 (/.f32 4 (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (/.f32 (.f32 alphax 4) alphay))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) (/.f32 alphay alphax))
(/.f32 (/.f32 (.f32 alphay 8) (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (*.f32 alphax 8))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) (/.f32 alphay alphax))
(/.f32 (/.f32 (.f32 alphay -2) (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (*.f32 alphax -2))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) (/.f32 alphay alphax))
(/.f32 (/.f32 (.f32 alphay -2) (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (neg.f32 (+.f32 alphax alphax)))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) (/.f32 alphay alphax))
(/.f32 (/.f32 (.f32 2 (/.f32 (.f32 alphay 4) alphax)) (/.f32 1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))))) 8)
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) (/.f32 alphay alphax))
(/.f32 (/.f32 (.f32 2 (.f32 alphay 8)) (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (.f32 2 (*.f32 alphax 8)))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) (/.f32 alphay alphax))
(/.f32 (/.f32 (/.f32 alphay (neg.f32 alphax)) (/.f32 1 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))))) -1)
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) (/.f32 alphay alphax))
(/.f32 (/.f32 (.f32 4 (neg.f32 alphay)) (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (.f32 2 (.f32 alphax -2)))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) (/.f32 alphay alphax))
(/.f32 (/.f32 (.f32 4 (neg.f32 alphay)) (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (*.f32 2 (neg.f32 (+.f32 alphax alphax))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) (/.f32 alphay alphax))
(/.f32 (/.f32 (.f32 4 (neg.f32 alphay)) (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (neg.f32 (*.f32 alphax 4)))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) (/.f32 alphay alphax))
(/.f32 (/.f32 (neg.f32 (.f32 alphay -2)) (/.f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (+.f32 alphax alphax))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) (/.f32 alphay alphax))
(/.f32 (/.f32 (.f32 2 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))) 4)) (/.f32 alphax alphay)) 8)
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) (/.f32 alphay alphax))
(/.f32 (/.f32 2 (/.f32 2 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))))) (/.f32 alphax alphay))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) (/.f32 alphay alphax))
(/.f32 (/.f32 1 (/.f32 2 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (.f32 alphax (/.f32 1/2 alphay)))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) (/.f32 alphay alphax))
(/.f32 (/.f32 (+.f32 alphay alphay) (/.f32 2 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))))) alphax)
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) (/.f32 alphay alphax))
(/.f32 (/.f32 (.f32 alphay 4) (/.f32 2 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (+.f32 alphax alphax))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) (/.f32 alphay alphax))
(/.f32 (/.f32 (.f32 alphax (/.f32 2 alphay)) (/.f32 2 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (*.f32 alphax (/.f32 (/.f32 alphax alphay) alphay)))
(/.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) (/.f32 2 (.f32 alphax (/.f32 2 alphay)))) (.f32 alphax (/.f32 alphax (.f32 alphay alphay))))
(.f32 (/.f32 2 alphay) (/.f32 (/.f32 alphax (.f32 alphax (/.f32 alphax (.f32 alphay alphay)))) (/.f32 2 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))))
(/.f32 (/.f32 4 (/.f32 2 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (.f32 alphax (/.f32 2 alphay)))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) (/.f32 alphay alphax))
(/.f32 (/.f32 (.f32 alphay -2) (/.f32 2 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (neg.f32 alphax))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) (/.f32 alphay alphax))
(/.f32 (/.f32 (/.f32 (.f32 alphax 4) alphay) (/.f32 2 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (.f32 2 (.f32 alphax (/.f32 (/.f32 alphax alphay) alphay))))
(/.f32 (/.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) (/.f32 2 (.f32 4 (/.f32 alphax alphay)))) 2) (.f32 alphax (/.f32 alphax (.f32 alphay alphay))))
(/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) (.f32 (/.f32 1/2 (/.f32 alphax alphay)) (.f32 (/.f32 alphax (.f32 alphay alphay)) (*.f32 2 alphax))))
(/.f32 (/.f32 (.f32 (/.f32 alphax alphay) (/.f32 (+.f32 alphay alphay) alphax)) (/.f32 2 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (/.f32 alphax alphay))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) (/.f32 alphay alphax))
(/.f32 (/.f32 alphay (/.f32 alphax (neg.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))) -1)
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) (/.f32 alphay alphax))
(/.f32 (/.f32 (+.f32 alphay alphay) (/.f32 alphax (neg.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))))) -2)
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) (/.f32 alphay alphax))
(/.f32 (/.f32 (.f32 alphay 4) (/.f32 alphax (neg.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) -4)
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) (/.f32 alphay alphax))
(/.f32 (/.f32 (.f32 4 (neg.f32 alphay)) (/.f32 alphax (neg.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))))) 4)
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) (/.f32 alphay alphax))
(/.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))) (/.f32 1 alphay)) alphax)
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) (/.f32 alphay alphax))
(/.f32 (/.f32 (.f32 2 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1)))) alphax) (/.f32 2 alphay))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) (/.f32 alphay alphax))
(/.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))) (neg.f32 alphax)) (/.f32 -1 alphay))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) (/.f32 alphay alphax))
(/.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 1/2) (.f32 alphax (/.f32 2 alphay)))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) (/.f32 alphay alphax))
(/.f32 (neg.f32 (.f32 2 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))))) (-.f32 0 (*.f32 alphax (/.f32 2 alphay))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) (/.f32 alphay alphax))
(/.f32 (neg.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))) alphax)) (-.f32 0 (/.f32 1 alphay)))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) (/.f32 alphay alphax))
(/.f32 (neg.f32 (neg.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))))) (/.f32 alphax alphay))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) (/.f32 alphay alphax))
(pow.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax)) 1)
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) (/.f32 alphay alphax))

localize497.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	10.8b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))
	12.1b	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))))))
	12.4b	(tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))
	31.7b	(tan.f32 (*.f32 1/2 (PI.f32)))

Compiler

Compiled 655 to 404 computations (38.3% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite91.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1774×	`rational.json-1`
1774×	`rational.json-2`
1774×	`rational.json-4`
1774×	`rational.json-3`
1766×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	81	25
2	181	25
3	416	25
4	1026	25
5	4631	25

Stop Event

1×	node limit

Counts

1 → 142

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 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) 5/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) 5/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) 5/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 alphay (/.f32 alphax (tan.f32 (*.f32 (PI.f32) 5/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 alphay (*.f32 (/.f32 alphax (tan.f32 (*.f32 (PI.f32) 5/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 alphay (*.f32 -1 (/.f32 alphax (neg.f32 (tan.f32 (*.f32 (PI.f32) 5/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 alphay alphax) (/.f32 1 (tan.f32 (*.f32 (PI.f32) 5/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 alphay alphax) (*.f32 (/.f32 1 (tan.f32 (*.f32 (PI.f32) 5/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 alphay alphax) (*.f32 1/2 (/.f32 2 (tan.f32 (*.f32 (PI.f32) 5/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1/2 (/.f32 (/.f32 (*.f32 alphax 1/2) alphay) (tan.f32 (*.f32 (PI.f32) 5/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1/2 (/.f32 (/.f32 alphax alphay) (*.f32 (tan.f32 (*.f32 (PI.f32) 5/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1/2 (/.f32 (/.f32 1/2 alphay) (/.f32 (tan.f32 (*.f32 (PI.f32) 5/2)) alphax)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (tan.f32 (*.f32 (PI.f32) 5/2)) (/.f32 alphax alphay))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) 5/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 alphax (*.f32 alphay (tan.f32 (*.f32 (PI.f32) 5/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (*.f32 (/.f32 alphax (*.f32 alphay (tan.f32 (*.f32 (PI.f32) 5/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 alphay alphay) (*.f32 alphax (/.f32 2 (tan.f32 (*.f32 (PI.f32) 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(/.f32 2 (tan.f32 (*.f32 (PI.f32) 5/2)))) (neg.f32 alphax))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (/.f32 (*.f32 alphax 4) alphay) (/.f32 2 (tan.f32 (*.f32 (PI.f32) 5/2)))) (*.f32 (/.f32 alphax alphay) (/.f32 2 (/.f32 alphay alphax))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (/.f32 2 (/.f32 alphay alphax)) (/.f32 alphay alphax)) (/.f32 2 (tan.f32 (*.f32 (PI.f32) 5/2)))) (/.f32 alphax alphay))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 alphay (/.f32 alphax (neg.f32 (tan.f32 (*.f32 (PI.f32) 5/2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (+.f32 alphay alphay) (/.f32 alphax (neg.f32 (tan.f32 (*.f32 (PI.f32) 5/2))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 alphay 4) (/.f32 alphax (neg.f32 (tan.f32 (*.f32 (PI.f32) 5/2))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (neg.f32 (*.f32 alphay 4)) (/.f32 alphax (neg.f32 (tan.f32 (*.f32 (PI.f32) 5/2))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) 5/2)) (/.f32 1 alphay)) alphax)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) 5/2)) 1/2) (/.f32 2 (/.f32 alphay alphax)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) 5/2)) (neg.f32 alphax)) (/.f32 -1 alphay))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) 5/2)) 2)) (-.f32 0 (/.f32 2 (/.f32 alphay alphax))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) 5/2)) alphax)) (-.f32 0 (/.f32 1 alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (neg.f32 (tan.f32 (*.f32 (PI.f32) 5/2)))) (/.f32 alphax alphay))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) 5/2))) 1)))))

simplify95.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1600×	`rational.json-simplify-35`
1440×	`rational.json-simplify-2`
828×	`rational.json-simplify-61`
820×	`rational.json-simplify-44`
808×	`rational.json-simplify-51`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	350	4846
1	1384	4798
2	5191	4798

Stop Event

1×	node limit

Counts

166 → 152

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 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2))) 0)
(+.f32 0 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2))))
(-.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2))) 0)
(/.f32 alphay (/.f32 alphax (tan.f32 (*.f32 (PI.f32) 5/2))))
(/.f32 alphay (.f32 (/.f32 alphax (tan.f32 (.f32 (PI.f32) 5/2))) 1))
(/.f32 alphay (.f32 -1 (/.f32 alphax (neg.f32 (tan.f32 (.f32 (PI.f32) 5/2))))))
(/.f32 (/.f32 alphay alphax) (/.f32 1 (tan.f32 (*.f32 (PI.f32) 5/2))))
(/.f32 (/.f32 alphay alphax) (.f32 (/.f32 1 (tan.f32 (.f32 (PI.f32) 5/2))) 1))
(/.f32 (/.f32 alphay alphax) (.f32 1/2 (/.f32 2 (tan.f32 (.f32 (PI.f32) 5/2)))))
(/.f32 1/2 (/.f32 (/.f32 (.f32 alphax 1/2) alphay) (tan.f32 (.f32 (PI.f32) 5/2))))
(/.f32 1/2 (/.f32 (/.f32 alphax alphay) (.f32 (tan.f32 (.f32 (PI.f32) 5/2)) 2)))
(/.f32 1/2 (/.f32 (/.f32 1/2 alphay) (/.f32 (tan.f32 (*.f32 (PI.f32) 5/2)) alphax)))
(/.f32 (tan.f32 (*.f32 (PI.f32) 5/2)) (/.f32 alphax alphay))
(/.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2))) 1)
(/.f32 1 (/.f32 alphax (.f32 alphay (tan.f32 (.f32 (PI.f32) 5/2)))))
(/.f32 1 (.f32 (/.f32 alphax (.f32 alphay (tan.f32 (*.f32 (PI.f32) 5/2)))) 1))
(/.f32 (+.f32 alphay alphay) (.f32 alphax (/.f32 2 (tan.f32 (.f32 (PI.f32) 5/2)))))
(/.f32 (+.f32 alphay alphay) (+.f32 (/.f32 alphax (tan.f32 (.f32 (PI.f32) 5/2))) (/.f32 alphax (tan.f32 (.f32 (PI.f32) 5/2)))))
(/.f32 (+.f32 alphay alphay) (.f32 (.f32 alphax (/.f32 2 (tan.f32 (*.f32 (PI.f32) 5/2)))) 1))
(/.f32 (+.f32 alphay alphay) (.f32 -2 (/.f32 alphax (neg.f32 (tan.f32 (.f32 (PI.f32) 5/2))))))
(/.f32 2 (.f32 (/.f32 alphax alphay) (/.f32 2 (tan.f32 (.f32 (PI.f32) 5/2)))))
(/.f32 2 (+.f32 (/.f32 alphax (.f32 alphay (tan.f32 (.f32 (PI.f32) 5/2)))) (/.f32 alphax (.f32 alphay (tan.f32 (.f32 (PI.f32) 5/2))))))
(/.f32 2 (.f32 (.f32 (/.f32 alphax alphay) (/.f32 2 (tan.f32 (*.f32 (PI.f32) 5/2)))) 1))
(/.f32 (.f32 (tan.f32 (.f32 (PI.f32) 5/2)) 2) (/.f32 2 (/.f32 alphay alphax)))
(/.f32 (.f32 alphay (/.f32 2 alphax)) (/.f32 2 (tan.f32 (.f32 (PI.f32) 5/2))))
(/.f32 (.f32 alphay (/.f32 2 alphax)) (+.f32 (/.f32 1 (tan.f32 (.f32 (PI.f32) 5/2))) (/.f32 1 (tan.f32 (*.f32 (PI.f32) 5/2)))))
(/.f32 (.f32 alphay (/.f32 2 alphax)) (.f32 2 (/.f32 1 (tan.f32 (*.f32 (PI.f32) 5/2)))))
(/.f32 (.f32 alphay (/.f32 2 alphax)) (.f32 (/.f32 2 (tan.f32 (*.f32 (PI.f32) 5/2))) 1))
(/.f32 (.f32 alphay 4) (+.f32 (.f32 alphax (/.f32 2 (tan.f32 (.f32 (PI.f32) 5/2)))) (.f32 alphax (/.f32 2 (tan.f32 (*.f32 (PI.f32) 5/2))))))
(/.f32 (.f32 alphay 4) (/.f32 (.f32 alphax 4) (tan.f32 (*.f32 (PI.f32) 5/2))))
(/.f32 (.f32 alphay 4) (.f32 4 (/.f32 alphax (tan.f32 (*.f32 (PI.f32) 5/2)))))
(/.f32 (.f32 alphay 4) (.f32 (.f32 alphax 4) (/.f32 1 (tan.f32 (.f32 (PI.f32) 5/2)))))
(/.f32 (.f32 alphay 4) (.f32 2 (.f32 alphax (/.f32 2 (tan.f32 (.f32 (PI.f32) 5/2))))))
(/.f32 (.f32 alphay 4) (.f32 (+.f32 alphax alphax) (/.f32 2 (tan.f32 (*.f32 (PI.f32) 5/2)))))
(/.f32 (.f32 alphay 4) (.f32 -4 (/.f32 alphax (neg.f32 (tan.f32 (*.f32 (PI.f32) 5/2))))))
(/.f32 (.f32 alphay 4) (/.f32 4 (/.f32 (tan.f32 (.f32 (PI.f32) 5/2)) alphax)))
(/.f32 (.f32 (tan.f32 (.f32 (PI.f32) 5/2)) (*.f32 alphay (/.f32 2 alphax))) 2)
(/.f32 (/.f32 1 alphax) (/.f32 (/.f32 1 alphay) (tan.f32 (*.f32 (PI.f32) 5/2))))
(/.f32 (/.f32 1 alphax) (.f32 (/.f32 1 alphay) (/.f32 1 (tan.f32 (.f32 (PI.f32) 5/2)))))
(/.f32 (neg.f32 alphay) (/.f32 alphax (neg.f32 (tan.f32 (*.f32 (PI.f32) 5/2)))))
(/.f32 (neg.f32 alphay) (.f32 (/.f32 alphax (neg.f32 (tan.f32 (.f32 (PI.f32) 5/2)))) 1))
(/.f32 (neg.f32 alphay) (/.f32 (neg.f32 (+.f32 alphax alphax)) (.f32 (tan.f32 (.f32 (PI.f32) 5/2)) 2)))
(/.f32 (neg.f32 alphay) (/.f32 -1 (/.f32 (tan.f32 (*.f32 (PI.f32) 5/2)) alphax)))
(/.f32 (/.f32 alphax alphay) (.f32 (.f32 alphax (/.f32 (/.f32 alphax alphay) alphay)) (/.f32 1 (tan.f32 (*.f32 (PI.f32) 5/2)))))
(/.f32 -1 (/.f32 (/.f32 alphax (neg.f32 alphay)) (tan.f32 (*.f32 (PI.f32) 5/2))))
(/.f32 -1 (.f32 (neg.f32 (/.f32 alphax alphay)) (/.f32 1 (tan.f32 (.f32 (PI.f32) 5/2)))))
(/.f32 (/.f32 2 (/.f32 alphay alphax)) (.f32 (.f32 (/.f32 alphax alphay) (/.f32 2 (/.f32 alphay alphax))) (/.f32 1 (tan.f32 (*.f32 (PI.f32) 5/2)))))
(/.f32 (/.f32 2 (/.f32 alphay alphax)) (.f32 (.f32 alphax (/.f32 (/.f32 alphax alphay) alphay)) (/.f32 2 (tan.f32 (*.f32 (PI.f32) 5/2)))))
(/.f32 4 (+.f32 (.f32 (/.f32 alphax alphay) (/.f32 2 (tan.f32 (.f32 (PI.f32) 5/2)))) (.f32 (/.f32 alphax alphay) (/.f32 2 (tan.f32 (.f32 (PI.f32) 5/2))))))
(/.f32 4 (/.f32 (/.f32 (.f32 alphax 4) alphay) (tan.f32 (.f32 (PI.f32) 5/2))))
(/.f32 4 (.f32 (/.f32 (.f32 alphax 4) alphay) (/.f32 1 (tan.f32 (*.f32 (PI.f32) 5/2)))))
(/.f32 4 (.f32 (/.f32 2 (/.f32 alphay alphax)) (/.f32 2 (tan.f32 (.f32 (PI.f32) 5/2)))))
(/.f32 (.f32 (/.f32 alphay alphax) (.f32 (tan.f32 (*.f32 (PI.f32) 5/2)) 4)) 4)
(/.f32 (.f32 (tan.f32 (.f32 (PI.f32) 5/2)) 4) (/.f32 (*.f32 alphax 4) alphay))
(/.f32 (.f32 (tan.f32 (.f32 (PI.f32) 5/2)) 4) (.f32 (/.f32 (.f32 alphax 4) alphay) 1))
(/.f32 (.f32 (/.f32 alphay alphax) 4) (+.f32 (/.f32 2 (tan.f32 (.f32 (PI.f32) 5/2))) (/.f32 2 (tan.f32 (*.f32 (PI.f32) 5/2)))))
(/.f32 (.f32 (/.f32 alphay alphax) 4) (/.f32 4 (tan.f32 (.f32 (PI.f32) 5/2))))
(/.f32 (.f32 (/.f32 alphay alphax) 4) (.f32 4 (/.f32 1 (tan.f32 (*.f32 (PI.f32) 5/2)))))
(/.f32 (.f32 (/.f32 alphay alphax) 4) (.f32 2 (/.f32 2 (tan.f32 (*.f32 (PI.f32) 5/2)))))
(/.f32 (.f32 alphay 8) (/.f32 (.f32 alphax 8) (tan.f32 (*.f32 (PI.f32) 5/2))))
(/.f32 (.f32 alphay 8) (.f32 8 (/.f32 alphax (tan.f32 (*.f32 (PI.f32) 5/2)))))
(/.f32 (.f32 alphay 8) (.f32 (.f32 alphax 8) (/.f32 1 (tan.f32 (.f32 (PI.f32) 5/2)))))
(/.f32 (.f32 alphay 8) (.f32 4 (.f32 alphax (/.f32 2 (tan.f32 (.f32 (PI.f32) 5/2))))))
(/.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) 5/2)) alphax) (/.f32 1 alphay))
(/.f32 (/.f32 1/2 alphax) (/.f32 (/.f32 1/2 alphay) (tan.f32 (*.f32 (PI.f32) 5/2))))
(/.f32 (.f32 alphay -2) (+.f32 (/.f32 alphax (neg.f32 (tan.f32 (.f32 (PI.f32) 5/2)))) (/.f32 alphax (neg.f32 (tan.f32 (*.f32 (PI.f32) 5/2))))))
(/.f32 (.f32 alphay -2) (/.f32 (neg.f32 (+.f32 alphax alphax)) (tan.f32 (.f32 (PI.f32) 5/2))))
(/.f32 (.f32 alphay -2) (/.f32 (.f32 alphax -2) (tan.f32 (*.f32 (PI.f32) 5/2))))
(/.f32 (.f32 alphay -2) (.f32 (.f32 alphax -2) (/.f32 1 (tan.f32 (.f32 (PI.f32) 5/2)))))
(/.f32 (.f32 alphay -2) (.f32 (neg.f32 (+.f32 alphax alphax)) (/.f32 1 (tan.f32 (*.f32 (PI.f32) 5/2)))))
(/.f32 (.f32 alphay -2) (.f32 (neg.f32 alphax) (/.f32 2 (tan.f32 (*.f32 (PI.f32) 5/2)))))
(/.f32 (.f32 alphay -2) (.f32 2 (/.f32 alphax (neg.f32 (tan.f32 (*.f32 (PI.f32) 5/2))))))
(/.f32 (.f32 (/.f32 alphay alphax) (/.f32 alphay alphax)) (/.f32 (.f32 alphay (/.f32 2 alphax)) (.f32 (tan.f32 (.f32 (PI.f32) 5/2)) 2)))
(/.f32 (.f32 2 (.f32 (tan.f32 (.f32 (PI.f32) 5/2)) 4)) (+.f32 (/.f32 (.f32 alphax 4) alphay) (/.f32 (*.f32 alphax 4) alphay)))
(/.f32 (.f32 2 (.f32 (tan.f32 (.f32 (PI.f32) 5/2)) 4)) (.f32 8 (/.f32 alphax alphay)))
(/.f32 (.f32 2 (.f32 (/.f32 alphay alphax) 4)) (.f32 8 (/.f32 1 (tan.f32 (.f32 (PI.f32) 5/2)))))
(/.f32 (.f32 2 (.f32 alphay 8)) (.f32 (.f32 2 (.f32 alphax 8)) (/.f32 1 (tan.f32 (.f32 (PI.f32) 5/2)))))
(/.f32 (.f32 2 (.f32 (/.f32 alphay alphax) (.f32 (tan.f32 (.f32 (PI.f32) 5/2)) 4))) 8)
(/.f32 (.f32 (tan.f32 (.f32 (PI.f32) 5/2)) (/.f32 1/2 alphax)) (/.f32 1/2 alphay))
(/.f32 (/.f32 alphay (neg.f32 alphax)) (/.f32 -1 (tan.f32 (*.f32 (PI.f32) 5/2))))
(/.f32 (/.f32 alphay (neg.f32 alphax)) (.f32 -1 (/.f32 1 (tan.f32 (.f32 (PI.f32) 5/2)))))
(/.f32 (/.f32 (.f32 alphax 4) alphay) (.f32 (.f32 (/.f32 alphax alphay) (/.f32 2 (/.f32 alphay alphax))) (/.f32 2 (tan.f32 (.f32 (PI.f32) 5/2)))))
(/.f32 (.f32 (/.f32 2 (/.f32 alphay alphax)) (/.f32 alphay alphax)) (.f32 (/.f32 alphax alphay) (/.f32 2 (tan.f32 (*.f32 (PI.f32) 5/2)))))
(/.f32 (.f32 (/.f32 alphay alphax) 1/2) (/.f32 1 (.f32 (tan.f32 (*.f32 (PI.f32) 5/2)) 2)))
(/.f32 (.f32 (/.f32 alphay alphax) 1/2) (.f32 1/2 (/.f32 1 (tan.f32 (*.f32 (PI.f32) 5/2)))))
(/.f32 (.f32 1/2 (tan.f32 (.f32 (PI.f32) 5/2))) (/.f32 (*.f32 alphax 1/2) alphay))
(/.f32 (.f32 alphay (/.f32 (/.f32 (tan.f32 (.f32 (PI.f32) 5/2)) alphax) 2)) 1/2)
(/.f32 (neg.f32 (.f32 alphay 4)) (.f32 (.f32 2 (.f32 alphax -2)) (/.f32 1 (tan.f32 (*.f32 (PI.f32) 5/2)))))
(/.f32 (neg.f32 (.f32 alphay 4)) (.f32 (.f32 2 (neg.f32 (+.f32 alphax alphax))) (/.f32 1 (tan.f32 (.f32 (PI.f32) 5/2)))))
(/.f32 (neg.f32 (.f32 alphay 4)) (.f32 (neg.f32 (.f32 alphax 4)) (/.f32 1 (tan.f32 (.f32 (PI.f32) 5/2)))))
(/.f32 (neg.f32 (.f32 alphay 4)) (.f32 4 (/.f32 alphax (neg.f32 (tan.f32 (*.f32 (PI.f32) 5/2))))))
(/.f32 (neg.f32 (.f32 alphay -2)) (.f32 alphax (/.f32 2 (tan.f32 (*.f32 (PI.f32) 5/2)))))
(/.f32 (neg.f32 (/.f32 alphay alphax)) (/.f32 -1 (tan.f32 (*.f32 (PI.f32) 5/2))))
(/.f32 (neg.f32 (tan.f32 (*.f32 (PI.f32) 5/2))) (neg.f32 (/.f32 alphax alphay)))
(/.f32 (neg.f32 (tan.f32 (.f32 (PI.f32) 5/2))) (.f32 (neg.f32 (/.f32 alphax alphay)) 1))
(/.f32 (+.f32 (/.f32 (tan.f32 (.f32 (PI.f32) 5/2)) alphax) (/.f32 (tan.f32 (.f32 (PI.f32) 5/2)) alphax)) (+.f32 (/.f32 1 alphay) (/.f32 1 alphay)))
(/.f32 (+.f32 (.f32 2 (.f32 (/.f32 alphay alphax) (.f32 (tan.f32 (.f32 (PI.f32) 5/2)) 4))) (.f32 2 (.f32 (/.f32 alphay alphax) (.f32 (tan.f32 (.f32 (PI.f32) 5/2)) 4)))) 16)
(/.f32 (+.f32 (neg.f32 (tan.f32 (.f32 (PI.f32) 5/2))) (neg.f32 (tan.f32 (.f32 (PI.f32) 5/2)))) (+.f32 (neg.f32 (/.f32 alphax alphay)) (neg.f32 (/.f32 alphax alphay))))
(/.f32 (/.f32 (.f32 (tan.f32 (.f32 (PI.f32) 5/2)) 2) alphax) (/.f32 2 alphay))
(/.f32 (/.f32 (.f32 alphay 8) (/.f32 alphax (tan.f32 (.f32 (PI.f32) 5/2)))) 8)
(/.f32 (/.f32 alphay (/.f32 1 (tan.f32 (*.f32 (PI.f32) 5/2)))) alphax)
(/.f32 (/.f32 1 (/.f32 1 (tan.f32 (*.f32 (PI.f32) 5/2)))) (/.f32 alphax alphay))
(/.f32 (/.f32 (+.f32 alphay alphay) (/.f32 1 (tan.f32 (*.f32 (PI.f32) 5/2)))) (+.f32 alphax alphax))
(/.f32 (/.f32 2 (/.f32 1 (tan.f32 (*.f32 (PI.f32) 5/2)))) (/.f32 2 (/.f32 alphay alphax)))
(/.f32 (/.f32 (.f32 alphay 4) (/.f32 1 (tan.f32 (.f32 (PI.f32) 5/2)))) (*.f32 alphax 4))
(/.f32 (/.f32 (/.f32 1 alphax) (/.f32 1 (tan.f32 (*.f32 (PI.f32) 5/2)))) (/.f32 1 alphay))
(/.f32 (/.f32 (neg.f32 alphay) (/.f32 1 (tan.f32 (*.f32 (PI.f32) 5/2)))) (neg.f32 alphax))
(/.f32 (/.f32 (/.f32 alphax alphay) (/.f32 1 (tan.f32 (.f32 (PI.f32) 5/2)))) (.f32 alphax (/.f32 (/.f32 alphax alphay) alphay)))
(/.f32 (/.f32 -1 (/.f32 1 (tan.f32 (*.f32 (PI.f32) 5/2)))) (neg.f32 (/.f32 alphax alphay)))
(/.f32 (/.f32 (/.f32 2 (/.f32 alphay alphax)) (/.f32 1 (tan.f32 (.f32 (PI.f32) 5/2)))) (.f32 (/.f32 alphax alphay) (/.f32 2 (/.f32 alphay alphax))))
(/.f32 (/.f32 4 (/.f32 1 (tan.f32 (.f32 (PI.f32) 5/2)))) (/.f32 (.f32 alphax 4) alphay))
(/.f32 (/.f32 (.f32 alphay 8) (/.f32 1 (tan.f32 (.f32 (PI.f32) 5/2)))) (*.f32 alphax 8))
(/.f32 (/.f32 (.f32 alphay -2) (/.f32 1 (tan.f32 (.f32 (PI.f32) 5/2)))) (*.f32 alphax -2))
(/.f32 (/.f32 (.f32 alphay -2) (/.f32 1 (tan.f32 (.f32 (PI.f32) 5/2)))) (neg.f32 (+.f32 alphax alphax)))
(/.f32 (/.f32 (.f32 2 (.f32 (/.f32 alphay alphax) 4)) (/.f32 1 (tan.f32 (*.f32 (PI.f32) 5/2)))) 8)
(/.f32 (/.f32 (.f32 2 (.f32 alphay 8)) (/.f32 1 (tan.f32 (.f32 (PI.f32) 5/2)))) (.f32 2 (*.f32 alphax 8)))
(/.f32 (/.f32 (/.f32 alphay (neg.f32 alphax)) (/.f32 1 (tan.f32 (*.f32 (PI.f32) 5/2)))) -1)
(/.f32 (/.f32 (neg.f32 (.f32 alphay 4)) (/.f32 1 (tan.f32 (.f32 (PI.f32) 5/2)))) (.f32 2 (.f32 alphax -2)))
(/.f32 (/.f32 (neg.f32 (.f32 alphay 4)) (/.f32 1 (tan.f32 (.f32 (PI.f32) 5/2)))) (*.f32 2 (neg.f32 (+.f32 alphax alphax))))
(/.f32 (/.f32 (neg.f32 (.f32 alphay 4)) (/.f32 1 (tan.f32 (.f32 (PI.f32) 5/2)))) (neg.f32 (*.f32 alphax 4)))
(/.f32 (/.f32 (neg.f32 (.f32 alphay -2)) (/.f32 1 (tan.f32 (.f32 (PI.f32) 5/2)))) (+.f32 alphax alphax))
(/.f32 (/.f32 (.f32 2 (.f32 (tan.f32 (*.f32 (PI.f32) 5/2)) 4)) (/.f32 alphax alphay)) 8)
(/.f32 (/.f32 1 (/.f32 2 (tan.f32 (.f32 (PI.f32) 5/2)))) (/.f32 (.f32 alphax 1/2) alphay))
(/.f32 (/.f32 (+.f32 alphay alphay) (/.f32 2 (tan.f32 (*.f32 (PI.f32) 5/2)))) alphax)
(/.f32 (/.f32 2 (/.f32 2 (tan.f32 (*.f32 (PI.f32) 5/2)))) (/.f32 alphax alphay))
(/.f32 (/.f32 (.f32 alphay 4) (/.f32 2 (tan.f32 (.f32 (PI.f32) 5/2)))) (+.f32 alphax alphax))
(/.f32 (/.f32 (/.f32 2 (/.f32 alphay alphax)) (/.f32 2 (tan.f32 (.f32 (PI.f32) 5/2)))) (.f32 alphax (/.f32 (/.f32 alphax alphay) alphay)))
(/.f32 (/.f32 4 (/.f32 2 (tan.f32 (*.f32 (PI.f32) 5/2)))) (/.f32 2 (/.f32 alphay alphax)))
(/.f32 (/.f32 (.f32 alphay -2) (/.f32 2 (tan.f32 (.f32 (PI.f32) 5/2)))) (neg.f32 alphax))
(/.f32 (/.f32 (/.f32 (.f32 alphax 4) alphay) (/.f32 2 (tan.f32 (.f32 (PI.f32) 5/2)))) (*.f32 (/.f32 alphax alphay) (/.f32 2 (/.f32 alphay alphax))))
(/.f32 (/.f32 (.f32 (/.f32 2 (/.f32 alphay alphax)) (/.f32 alphay alphax)) (/.f32 2 (tan.f32 (.f32 (PI.f32) 5/2)))) (/.f32 alphax alphay))
(/.f32 (/.f32 alphay (/.f32 alphax (neg.f32 (tan.f32 (*.f32 (PI.f32) 5/2))))) -1)
(/.f32 (/.f32 (+.f32 alphay alphay) (/.f32 alphax (neg.f32 (tan.f32 (*.f32 (PI.f32) 5/2))))) -2)
(/.f32 (/.f32 (.f32 alphay 4) (/.f32 alphax (neg.f32 (tan.f32 (.f32 (PI.f32) 5/2))))) -4)
(/.f32 (/.f32 (neg.f32 (.f32 alphay 4)) (/.f32 alphax (neg.f32 (tan.f32 (.f32 (PI.f32) 5/2))))) 4)
(/.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) 5/2)) (/.f32 1 alphay)) alphax)
(/.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) 5/2)) 1/2) (/.f32 2 (/.f32 alphay alphax)))
(/.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) 5/2)) (neg.f32 alphax)) (/.f32 -1 alphay))
(/.f32 (neg.f32 (.f32 (tan.f32 (.f32 (PI.f32) 5/2)) 2)) (-.f32 0 (/.f32 2 (/.f32 alphay alphax))))
(/.f32 (neg.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) 5/2)) alphax)) (-.f32 0 (/.f32 1 alphay)))
(/.f32 (neg.f32 (neg.f32 (tan.f32 (*.f32 (PI.f32) 5/2)))) (/.f32 alphax alphay))
(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2))) 1)

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 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2))) 0)
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(+.f32 0 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(-.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2))) 0)
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 alphay (/.f32 alphax (tan.f32 (*.f32 (PI.f32) 5/2))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 alphay (.f32 (/.f32 alphax (tan.f32 (.f32 (PI.f32) 5/2))) 1))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 alphay (.f32 -1 (/.f32 alphax (neg.f32 (tan.f32 (.f32 (PI.f32) 5/2))))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (/.f32 alphay alphax) (/.f32 1 (tan.f32 (*.f32 (PI.f32) 5/2))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (/.f32 alphay alphax) (.f32 (/.f32 1 (tan.f32 (.f32 (PI.f32) 5/2))) 1))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (/.f32 alphay alphax) (.f32 1/2 (/.f32 2 (tan.f32 (.f32 (PI.f32) 5/2)))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 1/2 (/.f32 (/.f32 (.f32 alphax 1/2) alphay) (tan.f32 (.f32 (PI.f32) 5/2))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 1/2 (/.f32 (/.f32 alphax alphay) (.f32 (tan.f32 (.f32 (PI.f32) 5/2)) 2)))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 1/2 (/.f32 (/.f32 1/2 alphay) (/.f32 (tan.f32 (*.f32 (PI.f32) 5/2)) alphax)))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (tan.f32 (*.f32 (PI.f32) 5/2)) (/.f32 alphax alphay))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2))) 1)
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 1 (/.f32 alphax (.f32 alphay (tan.f32 (.f32 (PI.f32) 5/2)))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 1 (.f32 (/.f32 alphax (.f32 alphay (tan.f32 (*.f32 (PI.f32) 5/2)))) 1))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (+.f32 alphay alphay) (.f32 alphax (/.f32 2 (tan.f32 (.f32 (PI.f32) 5/2)))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
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(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (/.f32 (.f32 alphay 8) (/.f32 alphax (tan.f32 (.f32 (PI.f32) 5/2)))) 8)
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (/.f32 alphay (/.f32 1 (tan.f32 (*.f32 (PI.f32) 5/2)))) alphax)
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (/.f32 1 (/.f32 1 (tan.f32 (*.f32 (PI.f32) 5/2)))) (/.f32 alphax alphay))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (/.f32 (+.f32 alphay alphay) (/.f32 1 (tan.f32 (*.f32 (PI.f32) 5/2)))) (+.f32 alphax alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (/.f32 2 (/.f32 1 (tan.f32 (*.f32 (PI.f32) 5/2)))) (/.f32 2 (/.f32 alphay alphax)))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (/.f32 (.f32 alphay 4) (/.f32 1 (tan.f32 (.f32 (PI.f32) 5/2)))) (*.f32 alphax 4))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (/.f32 (/.f32 1 alphax) (/.f32 1 (tan.f32 (*.f32 (PI.f32) 5/2)))) (/.f32 1 alphay))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (/.f32 (neg.f32 alphay) (/.f32 1 (tan.f32 (*.f32 (PI.f32) 5/2)))) (neg.f32 alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (/.f32 (/.f32 alphax alphay) (/.f32 1 (tan.f32 (.f32 (PI.f32) 5/2)))) (.f32 alphax (/.f32 (/.f32 alphax alphay) alphay)))
(/.f32 (/.f32 (tan.f32 (.f32 (PI.f32) 5/2)) (/.f32 1 (/.f32 alphax alphay))) (.f32 alphax (/.f32 alphax (*.f32 alphay alphay))))
(/.f32 (.f32 alphay alphay) (/.f32 alphax (/.f32 (tan.f32 (.f32 (PI.f32) 5/2)) (*.f32 (/.f32 alphay alphax) alphax))))
(/.f32 (.f32 alphay alphay) (/.f32 alphax (/.f32 (tan.f32 (.f32 (PI.f32) 5/2)) (*.f32 alphax (/.f32 alphay alphax)))))
(/.f32 (/.f32 -1 (/.f32 1 (tan.f32 (*.f32 (PI.f32) 5/2)))) (neg.f32 (/.f32 alphax alphay)))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (/.f32 (/.f32 2 (/.f32 alphay alphax)) (/.f32 1 (tan.f32 (.f32 (PI.f32) 5/2)))) (.f32 (/.f32 alphax alphay) (/.f32 2 (/.f32 alphay alphax))))
(/.f32 (/.f32 (/.f32 (tan.f32 (.f32 (PI.f32) 5/2)) 1/2) (/.f32 alphay alphax)) (.f32 (/.f32 alphax alphay) (/.f32 2 (/.f32 alphay alphax))))
(/.f32 (tan.f32 (*.f32 (PI.f32) 5/2)) (/.f32 1 (/.f32 (/.f32 (/.f32 alphay alphax) (/.f32 alphay alphax)) (/.f32 alphax alphay))))
(/.f32 (tan.f32 (*.f32 (PI.f32) 5/2)) (/.f32 1 (+.f32 (/.f32 (/.f32 alphay alphax) 2) (/.f32 (/.f32 alphay alphax) 2))))
(/.f32 (/.f32 4 (/.f32 1 (tan.f32 (.f32 (PI.f32) 5/2)))) (/.f32 (.f32 alphax 4) alphay))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (/.f32 (.f32 alphay 8) (/.f32 1 (tan.f32 (.f32 (PI.f32) 5/2)))) (*.f32 alphax 8))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (/.f32 (.f32 alphay -2) (/.f32 1 (tan.f32 (.f32 (PI.f32) 5/2)))) (*.f32 alphax -2))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (/.f32 (.f32 alphay -2) (/.f32 1 (tan.f32 (.f32 (PI.f32) 5/2)))) (neg.f32 (+.f32 alphax alphax)))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (/.f32 (.f32 2 (.f32 (/.f32 alphay alphax) 4)) (/.f32 1 (tan.f32 (*.f32 (PI.f32) 5/2)))) 8)
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (/.f32 (.f32 2 (.f32 alphay 8)) (/.f32 1 (tan.f32 (.f32 (PI.f32) 5/2)))) (.f32 2 (*.f32 alphax 8)))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (/.f32 (/.f32 alphay (neg.f32 alphax)) (/.f32 1 (tan.f32 (*.f32 (PI.f32) 5/2)))) -1)
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (/.f32 (neg.f32 (.f32 alphay 4)) (/.f32 1 (tan.f32 (.f32 (PI.f32) 5/2)))) (.f32 2 (.f32 alphax -2)))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (/.f32 (neg.f32 (.f32 alphay 4)) (/.f32 1 (tan.f32 (.f32 (PI.f32) 5/2)))) (*.f32 2 (neg.f32 (+.f32 alphax alphax))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (/.f32 (neg.f32 (.f32 alphay 4)) (/.f32 1 (tan.f32 (.f32 (PI.f32) 5/2)))) (neg.f32 (*.f32 alphax 4)))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (/.f32 (neg.f32 (.f32 alphay -2)) (/.f32 1 (tan.f32 (.f32 (PI.f32) 5/2)))) (+.f32 alphax alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (/.f32 (.f32 2 (.f32 (tan.f32 (*.f32 (PI.f32) 5/2)) 4)) (/.f32 alphax alphay)) 8)
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (/.f32 1 (/.f32 2 (tan.f32 (.f32 (PI.f32) 5/2)))) (/.f32 (.f32 alphax 1/2) alphay))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (/.f32 (+.f32 alphay alphay) (/.f32 2 (tan.f32 (*.f32 (PI.f32) 5/2)))) alphax)
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (/.f32 2 (/.f32 2 (tan.f32 (*.f32 (PI.f32) 5/2)))) (/.f32 alphax alphay))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (/.f32 (.f32 alphay 4) (/.f32 2 (tan.f32 (.f32 (PI.f32) 5/2)))) (+.f32 alphax alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (/.f32 (/.f32 2 (/.f32 alphay alphax)) (/.f32 2 (tan.f32 (.f32 (PI.f32) 5/2)))) (.f32 alphax (/.f32 (/.f32 alphax alphay) alphay)))
(/.f32 (/.f32 (tan.f32 (.f32 (PI.f32) 5/2)) (/.f32 1 (/.f32 alphax alphay))) (.f32 alphax (/.f32 alphax (*.f32 alphay alphay))))
(/.f32 (.f32 alphay alphay) (/.f32 alphax (/.f32 (tan.f32 (.f32 (PI.f32) 5/2)) (*.f32 (/.f32 alphay alphax) alphax))))
(/.f32 (.f32 alphay alphay) (/.f32 alphax (/.f32 (tan.f32 (.f32 (PI.f32) 5/2)) (*.f32 alphax (/.f32 alphay alphax)))))
(/.f32 (/.f32 4 (/.f32 2 (tan.f32 (*.f32 (PI.f32) 5/2)))) (/.f32 2 (/.f32 alphay alphax)))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (/.f32 (.f32 alphay -2) (/.f32 2 (tan.f32 (.f32 (PI.f32) 5/2)))) (neg.f32 alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (/.f32 (/.f32 (.f32 alphax 4) alphay) (/.f32 2 (tan.f32 (.f32 (PI.f32) 5/2)))) (*.f32 (/.f32 alphax alphay) (/.f32 2 (/.f32 alphay alphax))))
(/.f32 (/.f32 (/.f32 (tan.f32 (.f32 (PI.f32) 5/2)) 1/2) (/.f32 alphay alphax)) (.f32 (/.f32 alphax alphay) (/.f32 2 (/.f32 alphay alphax))))
(/.f32 (tan.f32 (*.f32 (PI.f32) 5/2)) (/.f32 1 (/.f32 (/.f32 (/.f32 alphay alphax) (/.f32 alphay alphax)) (/.f32 alphax alphay))))
(/.f32 (tan.f32 (*.f32 (PI.f32) 5/2)) (/.f32 1 (+.f32 (/.f32 (/.f32 alphay alphax) 2) (/.f32 (/.f32 alphay alphax) 2))))
(/.f32 (/.f32 (.f32 (/.f32 2 (/.f32 alphay alphax)) (/.f32 alphay alphax)) (/.f32 2 (tan.f32 (.f32 (PI.f32) 5/2)))) (/.f32 alphax alphay))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (/.f32 alphay (/.f32 alphax (neg.f32 (tan.f32 (*.f32 (PI.f32) 5/2))))) -1)
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (/.f32 (+.f32 alphay alphay) (/.f32 alphax (neg.f32 (tan.f32 (*.f32 (PI.f32) 5/2))))) -2)
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (/.f32 (.f32 alphay 4) (/.f32 alphax (neg.f32 (tan.f32 (.f32 (PI.f32) 5/2))))) -4)
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (/.f32 (neg.f32 (.f32 alphay 4)) (/.f32 alphax (neg.f32 (tan.f32 (.f32 (PI.f32) 5/2))))) 4)
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) 5/2)) (/.f32 1 alphay)) alphax)
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) 5/2)) 1/2) (/.f32 2 (/.f32 alphay alphax)))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) 5/2)) (neg.f32 alphax)) (/.f32 -1 alphay))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (neg.f32 (.f32 (tan.f32 (.f32 (PI.f32) 5/2)) 2)) (-.f32 0 (/.f32 2 (/.f32 alphay alphax))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (neg.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) 5/2)) alphax)) (-.f32 0 (/.f32 1 alphay)))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(/.f32 (neg.f32 (neg.f32 (tan.f32 (*.f32 (PI.f32) 5/2)))) (/.f32 alphax alphay))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))
(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2))) 1)
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) 5/2)))

eval1.5s (3.5%)

Compiler: Compiled 81971 to 54263 computations (33.8% saved)

prune503.0ms (1.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	869	4	873
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	870	7	877

Error

0.2b

Counts

877 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (.f32 (/.f32 1 (+.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 u0 (-.f32 1 u0))))))
✓	0.4b	(/.f32 1 (sqrt.f32 (+.f32 1 (.f32 (/.f32 1 (+.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 u0 (-.f32 1 u0))))))
✓	0.9b	(/.f32 1 (sqrt.f32 (+.f32 1 (.f32 (/.f32 1 (+.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 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 u0 (-.f32 1 u0))))))
▶	1.1b	(/.f32 1 (sqrt.f32 (+.f32 1 (.f32 (/.f32 1 (+.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 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 u0 (-.f32 1 u0))))))
▶	0.8b	(/.f32 1 (sqrt.f32 (+.f32 1 (.f32 (/.f32 1 (+.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 (PI.f32) u1) (.f32 (/.f32 alphay alphax) 2)))) (.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 u0 (-.f32 1 u0))))))
▶	2.1b	(/.f32 1 (sqrt.f32 (+.f32 1 (.f32 (/.f32 1 (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.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 u0 (-.f32 1 u0))))))
▶	0.8b	(/.f32 1 (sqrt.f32 (+.f32 1 (.f32 (/.f32 1 (+.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 (PI.f32) (.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 u0 (-.f32 1 u0))))))

Compiler

Compiled 563 to 398 computations (29.3% saved)

localize565.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	10.8b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))
	12.4b	(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 673 to 407 computations (39.5% saved)

localize410.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f32 (/.f32 1 (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.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 u0 (-.f32 1 u0)))
	0.4b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
	0.4b	(.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))
	12.4b	(tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))

Compiler

Compiled 653 to 394 computations (39.7% saved)

series35.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
11.0ms	u1	@	inf	(.f32 (/.f32 1 (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.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 u0 (-.f32 1 u0)))
3.0ms	alphax	@	0	(.f32 (/.f32 1 (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.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 u0 (-.f32 1 u0)))
3.0ms	u1	@	-inf	(.f32 (/.f32 1 (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.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 u0 (-.f32 1 u0)))
3.0ms	u1	@	0	(.f32 (/.f32 1 (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.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 u0 (-.f32 1 u0)))
2.0ms	alphax	@	inf	(.f32 (/.f32 1 (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.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 u0 (-.f32 1 u0)))

rewrite104.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1332×	`rational.json-simplify-54`
1052×	`rational.json-simplify-35`
740×	`exponential.json-3`
740×	`rational.json-1`
740×	`rational.json-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	231
1	268	225
2	652	225
3	1931	225
4	5793	225

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

Inputs

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

Outputs

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

simplify314.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1102×	`rational.json-simplify-41`
1070×	`rational.json-simplify-2`
904×	`rational.json-simplify-1`
748×	`rational.json-simplify-43`
692×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	305	24723
1	987	24669
2	2867	23925
3	5105	23919
4	7224	23919

Stop Event

1×	node limit

Counts

99 → 129

Calls

Call 1

Inputs
(/.f32 (.f32 u0 (pow.f32 alphay 2)) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2) (-.f32 1 u0)))
(+.f32 (.f32 -1 (/.f32 (.f32 u0 (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 4))) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 4) (.f32 (-.f32 1 u0) (pow.f32 alphax 2))))) (/.f32 (.f32 u0 (pow.f32 alphay 2)) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2) (-.f32 1 u0))))
(+.f32 (.f32 -1 (/.f32 (.f32 u0 (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 4))) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 4) (.f32 (-.f32 1 u0) (pow.f32 alphax 2))))) (+.f32 (/.f32 (.f32 u0 (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 4) (pow.f32 alphay 6))) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 6) (.f32 (-.f32 1 u0) (pow.f32 alphax 4)))) (/.f32 (.f32 u0 (pow.f32 alphay 2)) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2) (-.f32 1 u0)))))
(+.f32 (.f32 -1 (/.f32 (.f32 u0 (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 4))) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 4) (.f32 (-.f32 1 u0) (pow.f32 alphax 2))))) (+.f32 (/.f32 (.f32 u0 (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 4) (pow.f32 alphay 6))) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 6) (.f32 (-.f32 1 u0) (pow.f32 alphax 4)))) (+.f32 (.f32 -1 (/.f32 (.f32 u0 (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 6) (pow.f32 alphay 8))) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 8) (.f32 (-.f32 1 u0) (pow.f32 alphax 6))))) (/.f32 (.f32 u0 (pow.f32 alphay 2)) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax))) 2) (-.f32 1 u0))))))
(/.f32 (.f32 u0 (pow.f32 alphax 2)) (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (-.f32 1 u0)))
(+.f32 (/.f32 (.f32 u0 (pow.f32 alphax 2)) (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 2) (-.f32 1 u0))) (.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 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 4) (.f32 (pow.f32 alphay 2) (-.f32 1 u0))))))
(+.f32 (/.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 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 6) (.f32 (pow.f32 alphay 4) (-.f32 1 u0)))) (+.f32 (/.f32 (.f32 u0 (pow.f32 alphax 2)) (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 2) (-.f32 1 u0))) (.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 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 4) (.f32 (pow.f32 alphay 2) (-.f32 1 u0)))))))
(+.f32 (/.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 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 6) (.f32 (pow.f32 alphay 4) (-.f32 1 u0)))) (+.f32 (/.f32 (.f32 u0 (pow.f32 alphax 2)) (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 2) (-.f32 1 u0))) (+.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))) 6) (pow.f32 alphax 8))) (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 8) (.f32 (pow.f32 alphay 6) (-.f32 1 u0))))) (.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 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 4) (*.f32 (pow.f32 alphay 2) (-.f32 1 u0))))))))
(/.f32 (.f32 u0 (pow.f32 alphax 2)) (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (-.f32 1 u0)))
(+.f32 (/.f32 (.f32 u0 (pow.f32 alphax 2)) (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 2) (-.f32 1 u0))) (.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 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 4) (.f32 (pow.f32 alphay 2) (-.f32 1 u0))))))
(+.f32 (/.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 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 6) (.f32 (pow.f32 alphay 4) (-.f32 1 u0)))) (+.f32 (/.f32 (.f32 u0 (pow.f32 alphax 2)) (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 2) (-.f32 1 u0))) (.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 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 4) (.f32 (pow.f32 alphay 2) (-.f32 1 u0)))))))
(+.f32 (/.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 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 6) (.f32 (pow.f32 alphay 4) (-.f32 1 u0)))) (+.f32 (/.f32 (.f32 u0 (pow.f32 alphax 2)) (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 2) (-.f32 1 u0))) (+.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))) 6) (pow.f32 alphax 8))) (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 8) (.f32 (pow.f32 alphay 6) (-.f32 1 u0))))) (.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 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 4) (*.f32 (pow.f32 alphay 2) (-.f32 1 u0))))))))
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(/.f32 (neg.f32 (/.f32 (+.f32 u0 u0) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax)))) (/.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax)))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) (.f32 alphay alphay)))))) (neg.f32 (*.f32 2 (-.f32 1 u0))))
(/.f32 (neg.f32 (/.f32 (neg.f32 u0) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax)))) (/.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax)))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) (.f32 alphay alphay)))))) (-.f32 1 u0))
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(/.f32 (neg.f32 (/.f32 (.f32 u0 -2) (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax)))) (/.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax)))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) (*.f32 alphay alphay)))))) (neg.f32 (+.f32 u0 (+.f32 u0 -2))))
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(pow.f32 (/.f32 u0 (.f32 (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax)))) (/.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax)))) (.f32 alphax alphax))) (.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) (*.f32 alphay alphay)))) (-.f32 1 u0))) 1)

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

localize404.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 (.f32 (PI.f32) u1) (*.f32 (/.f32 alphay alphax) 2))
	0.4b	(.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))
	12.1b	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))))))
	12.4b	(tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))

Compiler

Compiled 667 to 391 computations (41.4% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	alphay	@	0	(.f32 (.f32 (PI.f32) u1) (*.f32 (/.f32 alphay alphax) 2))
1.0ms	u1	@	0	(.f32 (.f32 (PI.f32) u1) (*.f32 (/.f32 alphay alphax) 2))
1.0ms	alphax	@	0	(.f32 (.f32 (PI.f32) u1) (*.f32 (/.f32 alphay alphax) 2))
1.0ms	u1	@	inf	(.f32 (.f32 (PI.f32) u1) (*.f32 (/.f32 alphay alphax) 2))
1.0ms	alphax	@	inf	(.f32 (.f32 (PI.f32) u1) (*.f32 (/.f32 alphay alphax) 2))

rewrite70.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1500×	`rational.json-1`
1500×	`rational.json-2`
1500×	`rational.json-4`
1500×	`rational.json-3`
1492×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	82	27
2	194	27
3	477	27
4	1279	27
5	4294	27

Stop Event

1×	node limit

Counts

1 → 66

Calls

Call 1

Inputs
(.f32 (.f32 (PI.f32) u1) (*.f32 (/.f32 alphay alphax) 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) (*.f32 alphay (*.f32 2 (/.f32 u1 alphax)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (PI.f32) (*.f32 alphay (*.f32 2 (/.f32 u1 alphax)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) (*.f32 alphay (/.f32 u1 alphax))) (*.f32 (PI.f32) (*.f32 alphay (/.f32 u1 alphax))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (PI.f32) (*.f32 alphay (*.f32 2 (/.f32 u1 alphax)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) u1) (/.f32 alphax (+.f32 alphay alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) u1) (/.f32 (*.f32 alphax (/.f32 2 alphay)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 alphay (/.f32 alphax (*.f32 (PI.f32) (+.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 alphay alphax) (/.f32 1/2 (*.f32 (PI.f32) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (/.f32 (/.f32 alphax alphay) (*.f32 (PI.f32) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (*.f32 2 (/.f32 (/.f32 (/.f32 alphax alphay) (*.f32 (PI.f32) u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (/.f32 (/.f32 (*.f32 alphax 4) alphay) (*.f32 (PI.f32) (*.f32 u1 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 alphay (/.f32 2 alphax)) (/.f32 1 (*.f32 (PI.f32) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 alphay (/.f32 2 alphax)) (*.f32 2 (/.f32 1/2 (*.f32 (PI.f32) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 alphay (*.f32 2 (/.f32 u1 alphax)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (/.f32 (/.f32 alphax alphay) (*.f32 (PI.f32) u1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (/.f32 1 alphay) (*.f32 (PI.f32) (*.f32 2 (/.f32 u1 alphax)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 alphay alphay) (/.f32 alphax (*.f32 (PI.f32) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 alphay alphay) (*.f32 2 (/.f32 alphax (*.f32 (PI.f32) (+.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (+.f32 u1 u1)) (/.f32 alphax alphay))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 alphay alphax) 4) (/.f32 2 (*.f32 (PI.f32) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 alphay alphax) 4) (*.f32 2 (/.f32 1 (*.f32 (PI.f32) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 (/.f32 alphay alphax) (*.f32 u1 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 alphay 4) (/.f32 (+.f32 alphax alphax) (*.f32 (PI.f32) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 alphay 4) (*.f32 2 (/.f32 alphax (*.f32 (PI.f32) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 alphax) (/.f32 (/.f32 1 alphay) (*.f32 (PI.f32) (+.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 alphay) (/.f32 (/.f32 alphax (neg.f32 (*.f32 (PI.f32) u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 alphay) (/.f32 (neg.f32 (+.f32 alphax alphax)) (*.f32 (PI.f32) (*.f32 u1 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 alphay) (/.f32 -1 (*.f32 (PI.f32) (*.f32 2 (/.f32 u1 alphax)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -1 (/.f32 (/.f32 alphax (neg.f32 alphay)) (*.f32 (PI.f32) (+.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (/.f32 2 (*.f32 (PI.f32) (*.f32 alphay (/.f32 u1 alphax)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (*.f32 2 (/.f32 (/.f32 alphax alphay) (*.f32 (PI.f32) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (/.f32 (/.f32 (*.f32 alphax 4) alphay) (*.f32 (PI.f32) (+.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (PI.f32) (*.f32 alphay (/.f32 u1 alphax))) 8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 alphay 4)) (/.f32 (*.f32 alphax 4) (*.f32 (PI.f32) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 u1 4)) (*.f32 alphax (/.f32 2 alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 2 (/.f32 u1 alphax))) (/.f32 1 alphay))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (/.f32 u1 alphax)) (/.f32 1/2 alphay))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1/2 alphax) (/.f32 (/.f32 1/2 alphay) (*.f32 (PI.f32) (+.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1/2 (/.f32 (/.f32 alphax (+.f32 alphay alphay)) (*.f32 (PI.f32) (+.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1/2 (/.f32 (/.f32 alphax alphay) (*.f32 (PI.f32) (*.f32 u1 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1/2 (/.f32 (/.f32 1/2 alphay) (*.f32 (PI.f32) (*.f32 2 (/.f32 u1 alphax)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 alphay -2) (/.f32 alphax (neg.f32 (*.f32 (PI.f32) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 alphay -2) (*.f32 2 (/.f32 (/.f32 alphax (neg.f32 (*.f32 (PI.f32) u1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 alphay -2) (/.f32 (neg.f32 (+.f32 alphax alphax)) (*.f32 (PI.f32) (+.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 alphay alphax) (/.f32 alphay alphax)) (/.f32 (/.f32 alphay alphax) (*.f32 (PI.f32) (+.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 u1 4))) (*.f32 2 (*.f32 alphax (/.f32 2 alphay))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (*.f32 (PI.f32) (*.f32 alphay (/.f32 u1 alphax))) 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (/.f32 alphay alphax) 1/4) (/.f32 2 (*.f32 (PI.f32) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 alphay (neg.f32 alphax)) (/.f32 -1 (*.f32 (PI.f32) (+.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 alphay (+.f32 alphax alphax)) (/.f32 1 (*.f32 (PI.f32) (*.f32 u1 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 (PI.f32) (+.f32 u1 u1))) (neg.f32 (/.f32 alphax alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (/.f32 (/.f32 alphax alphay) (*.f32 (PI.f32) u1))) (*.f32 (/.f32 (/.f32 alphax alphay) (*.f32 (PI.f32) u1)) (/.f32 (/.f32 alphax alphay) (*.f32 (PI.f32) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 2 (/.f32 u1 alphax)))) (*.f32 2 (/.f32 1 alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (PI.f32) (*.f32 alphay (/.f32 u1 alphax))) 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (neg.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))) (*.f32 2 (neg.f32 (/.f32 alphax alphay))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (PI.f32) (+.f32 u1 u1)) 1/2) (*.f32 alphax (/.f32 2 alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (PI.f32) (+.f32 u1 u1)) (neg.f32 alphax)) (/.f32 -1 alphay))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (PI.f32) (+.f32 u1 u1)) (/.f32 1 alphay)) alphax)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (PI.f32) (*.f32 u1 4)) alphax) (/.f32 2 alphay))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 (PI.f32) (*.f32 u1 4))) (neg.f32 (*.f32 alphax (/.f32 2 alphay))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 (PI.f32) (*.f32 2 (/.f32 u1 alphax)))) (/.f32 -1 alphay))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (neg.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))) (/.f32 alphax alphay))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (/.f32 (/.f32 alphax alphay) (*.f32 (PI.f32) u1)) (/.f32 (/.f32 1 alphay) (*.f32 (PI.f32) (/.f32 u1 alphax)))) (*.f32 (/.f32 (/.f32 alphax alphay) (*.f32 (PI.f32) u1)) (/.f32 (/.f32 1 alphay) (*.f32 (PI.f32) (/.f32 u1 alphax)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (/.f32 (/.f32 1 alphay) (*.f32 (PI.f32) (/.f32 u1 alphax))) (/.f32 (/.f32 alphax alphay) (*.f32 (PI.f32) u1))) (*.f32 (/.f32 (/.f32 1 alphay) (*.f32 (PI.f32) (/.f32 u1 alphax))) (/.f32 (/.f32 alphax alphay) (*.f32 (PI.f32) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (/.f32 (/.f32 1 alphay) (*.f32 (PI.f32) (/.f32 u1 alphax))) (/.f32 (/.f32 1 alphay) (*.f32 (PI.f32) (/.f32 u1 alphax)))) (*.f32 (/.f32 (/.f32 1 alphay) (*.f32 (PI.f32) (/.f32 u1 alphax))) (/.f32 (/.f32 1 alphay) (*.f32 (PI.f32) (/.f32 u1 alphax)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (PI.f32) (*.f32 alphay (*.f32 2 (/.f32 u1 alphax)))) 1)))))

simplify92.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

964×	`rational.json-simplify-2`
944×	`rational.json-simplify-59`
920×	`rational.json-simplify-35`
886×	`rational.json-simplify-39`
654×	`rational.json-simplify-43`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	197	2796
1	799	2790
2	3072	2790
3	5061	2790

Stop Event

1×	node limit

Counts

102 → 87

Calls

Call 1

Inputs
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 (PI.f32) u1)) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 (PI.f32) u1)) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 (PI.f32) u1)) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 (PI.f32) u1)) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(+.f32 (.f32 (PI.f32) (.f32 alphay (*.f32 2 (/.f32 u1 alphax)))) 0)
(+.f32 0 (.f32 (PI.f32) (.f32 alphay (*.f32 2 (/.f32 u1 alphax)))))
(+.f32 (.f32 (PI.f32) (.f32 alphay (/.f32 u1 alphax))) (.f32 (PI.f32) (.f32 alphay (/.f32 u1 alphax))))
(-.f32 (.f32 (PI.f32) (.f32 alphay (*.f32 2 (/.f32 u1 alphax)))) 0)
(/.f32 (*.f32 (PI.f32) u1) (/.f32 alphax (+.f32 alphay alphay)))
(/.f32 (.f32 (PI.f32) u1) (/.f32 (.f32 alphax (/.f32 2 alphay)) 4))
(/.f32 alphay (/.f32 alphax (*.f32 (PI.f32) (+.f32 u1 u1))))
(/.f32 (/.f32 alphay alphax) (/.f32 1/2 (*.f32 (PI.f32) u1)))
(/.f32 2 (/.f32 (/.f32 alphax alphay) (*.f32 (PI.f32) u1)))
(/.f32 2 (.f32 2 (/.f32 (/.f32 (/.f32 alphax alphay) (.f32 (PI.f32) u1)) 2)))
(/.f32 2 (/.f32 (/.f32 (.f32 alphax 4) alphay) (.f32 (PI.f32) (*.f32 u1 4))))
(/.f32 (.f32 alphay (/.f32 2 alphax)) (/.f32 1 (.f32 (PI.f32) u1)))
(/.f32 (.f32 alphay (/.f32 2 alphax)) (.f32 2 (/.f32 1/2 (*.f32 (PI.f32) u1))))
(/.f32 (.f32 (PI.f32) (.f32 alphay (*.f32 2 (/.f32 u1 alphax)))) 1)
(/.f32 1 (/.f32 (/.f32 (/.f32 alphax alphay) (*.f32 (PI.f32) u1)) 2))
(/.f32 1 (/.f32 (/.f32 1 alphay) (.f32 (PI.f32) (.f32 2 (/.f32 u1 alphax)))))
(/.f32 (+.f32 alphay alphay) (/.f32 alphax (*.f32 (PI.f32) u1)))
(/.f32 (+.f32 alphay alphay) (.f32 2 (/.f32 alphax (.f32 (PI.f32) (+.f32 u1 u1)))))
(/.f32 (*.f32 (PI.f32) (+.f32 u1 u1)) (/.f32 alphax alphay))
(/.f32 (.f32 (/.f32 alphay alphax) 4) (/.f32 2 (.f32 (PI.f32) u1)))
(/.f32 (.f32 (/.f32 alphay alphax) 4) (.f32 2 (/.f32 1 (*.f32 (PI.f32) u1))))
(/.f32 (.f32 (PI.f32) (.f32 (/.f32 alphay alphax) (*.f32 u1 4))) 2)
(/.f32 (.f32 alphay 4) (/.f32 (+.f32 alphax alphax) (.f32 (PI.f32) u1)))
(/.f32 (.f32 alphay 4) (.f32 2 (/.f32 alphax (*.f32 (PI.f32) u1))))
(/.f32 (/.f32 1 alphax) (/.f32 (/.f32 1 alphay) (*.f32 (PI.f32) (+.f32 u1 u1))))
(/.f32 (neg.f32 alphay) (/.f32 (/.f32 alphax (neg.f32 (*.f32 (PI.f32) u1))) 2))
(/.f32 (neg.f32 alphay) (/.f32 (neg.f32 (+.f32 alphax alphax)) (.f32 (PI.f32) (.f32 u1 4))))
(/.f32 (neg.f32 alphay) (/.f32 -1 (.f32 (PI.f32) (.f32 2 (/.f32 u1 alphax)))))
(/.f32 -1 (/.f32 (/.f32 alphax (neg.f32 alphay)) (*.f32 (PI.f32) (+.f32 u1 u1))))
(/.f32 4 (/.f32 2 (.f32 (PI.f32) (.f32 alphay (/.f32 u1 alphax)))))
(/.f32 4 (.f32 2 (/.f32 (/.f32 alphax alphay) (.f32 (PI.f32) u1))))
(/.f32 4 (/.f32 (/.f32 (.f32 alphax 4) alphay) (.f32 (PI.f32) (+.f32 u1 u1))))
(/.f32 (.f32 (.f32 (PI.f32) (*.f32 alphay (/.f32 u1 alphax))) 8) 4)
(/.f32 (.f32 2 (.f32 alphay 4)) (/.f32 (.f32 alphax 4) (.f32 (PI.f32) u1)))
(/.f32 (.f32 (PI.f32) (.f32 u1 4)) (*.f32 alphax (/.f32 2 alphay)))
(/.f32 (.f32 (PI.f32) (.f32 2 (/.f32 u1 alphax))) (/.f32 1 alphay))
(/.f32 (*.f32 (PI.f32) (/.f32 u1 alphax)) (/.f32 1/2 alphay))
(/.f32 (/.f32 1/2 alphax) (/.f32 (/.f32 1/2 alphay) (*.f32 (PI.f32) (+.f32 u1 u1))))
(/.f32 1/2 (/.f32 (/.f32 alphax (+.f32 alphay alphay)) (*.f32 (PI.f32) (+.f32 u1 u1))))
(/.f32 1/2 (/.f32 (/.f32 alphax alphay) (.f32 (PI.f32) (.f32 u1 4))))
(/.f32 1/2 (/.f32 (/.f32 1/2 alphay) (.f32 (PI.f32) (.f32 2 (/.f32 u1 alphax)))))
(/.f32 (.f32 alphay -2) (/.f32 alphax (neg.f32 (.f32 (PI.f32) u1))))
(/.f32 (.f32 alphay -2) (.f32 2 (/.f32 (/.f32 alphax (neg.f32 (*.f32 (PI.f32) u1))) 2)))
(/.f32 (.f32 alphay -2) (/.f32 (neg.f32 (+.f32 alphax alphax)) (.f32 (PI.f32) (+.f32 u1 u1))))
(/.f32 (.f32 (/.f32 alphay alphax) (/.f32 alphay alphax)) (/.f32 (/.f32 alphay alphax) (.f32 (PI.f32) (+.f32 u1 u1))))
(/.f32 (.f32 2 (.f32 (PI.f32) (.f32 u1 4))) (.f32 2 (*.f32 alphax (/.f32 2 alphay))))
(/.f32 (.f32 2 (.f32 (.f32 (PI.f32) (.f32 alphay (/.f32 u1 alphax))) 8)) 8)
(/.f32 (/.f32 (/.f32 alphay alphax) 1/4) (/.f32 2 (*.f32 (PI.f32) u1)))
(/.f32 (/.f32 alphay (neg.f32 alphax)) (/.f32 -1 (*.f32 (PI.f32) (+.f32 u1 u1))))
(/.f32 (/.f32 alphay (+.f32 alphax alphax)) (/.f32 1 (.f32 (PI.f32) (.f32 u1 4))))
(/.f32 (neg.f32 (*.f32 (PI.f32) (+.f32 u1 u1))) (neg.f32 (/.f32 alphax alphay)))
(/.f32 (.f32 2 (/.f32 (/.f32 alphax alphay) (.f32 (PI.f32) u1))) (.f32 (/.f32 (/.f32 alphax alphay) (.f32 (PI.f32) u1)) (/.f32 (/.f32 alphax alphay) (*.f32 (PI.f32) u1))))
(/.f32 (.f32 2 (.f32 (PI.f32) (.f32 2 (/.f32 u1 alphax)))) (.f32 2 (/.f32 1 alphay)))
(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 (PI.f32) (*.f32 alphay (/.f32 u1 alphax))) 8))) 16)
(/.f32 (.f32 2 (neg.f32 (.f32 (PI.f32) (+.f32 u1 u1)))) (*.f32 2 (neg.f32 (/.f32 alphax alphay))))
(/.f32 (/.f32 (.f32 (PI.f32) (+.f32 u1 u1)) 1/2) (.f32 alphax (/.f32 2 alphay)))
(/.f32 (/.f32 (*.f32 (PI.f32) (+.f32 u1 u1)) (neg.f32 alphax)) (/.f32 -1 alphay))
(/.f32 (/.f32 (*.f32 (PI.f32) (+.f32 u1 u1)) (/.f32 1 alphay)) alphax)
(/.f32 (/.f32 (.f32 (PI.f32) (.f32 u1 4)) alphax) (/.f32 2 alphay))
(/.f32 (neg.f32 (.f32 (PI.f32) (.f32 u1 4))) (neg.f32 (*.f32 alphax (/.f32 2 alphay))))
(/.f32 (neg.f32 (.f32 (PI.f32) (.f32 2 (/.f32 u1 alphax)))) (/.f32 -1 alphay))
(/.f32 (neg.f32 (neg.f32 (*.f32 (PI.f32) (+.f32 u1 u1)))) (/.f32 alphax alphay))
(/.f32 (+.f32 (/.f32 (/.f32 alphax alphay) (.f32 (PI.f32) u1)) (/.f32 (/.f32 1 alphay) (.f32 (PI.f32) (/.f32 u1 alphax)))) (.f32 (/.f32 (/.f32 alphax alphay) (.f32 (PI.f32) u1)) (/.f32 (/.f32 1 alphay) (*.f32 (PI.f32) (/.f32 u1 alphax)))))
(/.f32 (+.f32 (/.f32 (/.f32 1 alphay) (.f32 (PI.f32) (/.f32 u1 alphax))) (/.f32 (/.f32 alphax alphay) (.f32 (PI.f32) u1))) (.f32 (/.f32 (/.f32 1 alphay) (.f32 (PI.f32) (/.f32 u1 alphax))) (/.f32 (/.f32 alphax alphay) (*.f32 (PI.f32) u1))))
(/.f32 (+.f32 (/.f32 (/.f32 1 alphay) (.f32 (PI.f32) (/.f32 u1 alphax))) (/.f32 (/.f32 1 alphay) (.f32 (PI.f32) (/.f32 u1 alphax)))) (.f32 (/.f32 (/.f32 1 alphay) (.f32 (PI.f32) (/.f32 u1 alphax))) (/.f32 (/.f32 1 alphay) (*.f32 (PI.f32) (/.f32 u1 alphax)))))
(pow.f32 (.f32 (PI.f32) (.f32 alphay (*.f32 2 (/.f32 u1 alphax)))) 1)

Outputs
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(.f32 2 (.f32 (*.f32 u1 (PI.f32)) (/.f32 alphay alphax)))
(.f32 2 (/.f32 (.f32 (PI.f32) (*.f32 alphay u1)) alphax))
(.f32 2 (.f32 alphay (*.f32 (PI.f32) (/.f32 u1 alphax))))
(*.f32 u1 (/.f32 (PI.f32) (/.f32 alphax (/.f32 alphay 1/2))))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(.f32 2 (.f32 (*.f32 u1 (PI.f32)) (/.f32 alphay alphax)))
(.f32 2 (/.f32 (.f32 (PI.f32) (*.f32 alphay u1)) alphax))
(.f32 2 (.f32 alphay (*.f32 (PI.f32) (/.f32 u1 alphax))))
(*.f32 u1 (/.f32 (PI.f32) (/.f32 alphax (/.f32 alphay 1/2))))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(.f32 2 (.f32 (*.f32 u1 (PI.f32)) (/.f32 alphay alphax)))
(.f32 2 (/.f32 (.f32 (PI.f32) (*.f32 alphay u1)) alphax))
(.f32 2 (.f32 alphay (*.f32 (PI.f32) (/.f32 u1 alphax))))
(*.f32 u1 (/.f32 (PI.f32) (/.f32 alphax (/.f32 alphay 1/2))))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(.f32 2 (.f32 (*.f32 u1 (PI.f32)) (/.f32 alphay alphax)))
(.f32 2 (/.f32 (.f32 (PI.f32) (*.f32 alphay u1)) alphax))
(.f32 2 (.f32 alphay (*.f32 (PI.f32) (/.f32 u1 alphax))))
(*.f32 u1 (/.f32 (PI.f32) (/.f32 alphax (/.f32 alphay 1/2))))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(.f32 2 (.f32 (*.f32 u1 (PI.f32)) (/.f32 alphay alphax)))
(.f32 2 (/.f32 (.f32 (PI.f32) (*.f32 alphay u1)) alphax))
(.f32 2 (.f32 alphay (*.f32 (PI.f32) (/.f32 u1 alphax))))
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(.f32 2 (.f32 alphay (*.f32 (PI.f32) (/.f32 u1 alphax))))
(*.f32 u1 (/.f32 (PI.f32) (/.f32 alphax (/.f32 alphay 1/2))))
(/.f32 (+.f32 (/.f32 (/.f32 alphax alphay) (.f32 (PI.f32) u1)) (/.f32 (/.f32 1 alphay) (.f32 (PI.f32) (/.f32 u1 alphax)))) (.f32 (/.f32 (/.f32 alphax alphay) (.f32 (PI.f32) u1)) (/.f32 (/.f32 1 alphay) (*.f32 (PI.f32) (/.f32 u1 alphax)))))
(.f32 2 (.f32 (*.f32 u1 (PI.f32)) (/.f32 alphay alphax)))
(.f32 2 (/.f32 (.f32 (PI.f32) (*.f32 alphay u1)) alphax))
(.f32 2 (.f32 alphay (*.f32 (PI.f32) (/.f32 u1 alphax))))
(*.f32 u1 (/.f32 (PI.f32) (/.f32 alphax (/.f32 alphay 1/2))))
(/.f32 (+.f32 (/.f32 (/.f32 1 alphay) (.f32 (PI.f32) (/.f32 u1 alphax))) (/.f32 (/.f32 alphax alphay) (.f32 (PI.f32) u1))) (.f32 (/.f32 (/.f32 1 alphay) (.f32 (PI.f32) (/.f32 u1 alphax))) (/.f32 (/.f32 alphax alphay) (*.f32 (PI.f32) u1))))
(.f32 2 (.f32 (*.f32 u1 (PI.f32)) (/.f32 alphay alphax)))
(.f32 2 (/.f32 (.f32 (PI.f32) (*.f32 alphay u1)) alphax))
(.f32 2 (.f32 alphay (*.f32 (PI.f32) (/.f32 u1 alphax))))
(*.f32 u1 (/.f32 (PI.f32) (/.f32 alphax (/.f32 alphay 1/2))))
(/.f32 (+.f32 (/.f32 (/.f32 1 alphay) (.f32 (PI.f32) (/.f32 u1 alphax))) (/.f32 (/.f32 1 alphay) (.f32 (PI.f32) (/.f32 u1 alphax)))) (.f32 (/.f32 (/.f32 1 alphay) (.f32 (PI.f32) (/.f32 u1 alphax))) (/.f32 (/.f32 1 alphay) (*.f32 (PI.f32) (/.f32 u1 alphax)))))
(.f32 2 (.f32 (*.f32 u1 (PI.f32)) (/.f32 alphay alphax)))
(.f32 2 (/.f32 (.f32 (PI.f32) (*.f32 alphay u1)) alphax))
(.f32 2 (.f32 alphay (*.f32 (PI.f32) (/.f32 u1 alphax))))
(*.f32 u1 (/.f32 (PI.f32) (/.f32 alphax (/.f32 alphay 1/2))))
(pow.f32 (.f32 (PI.f32) (.f32 alphay (*.f32 2 (/.f32 u1 alphax)))) 1)
(.f32 2 (.f32 (*.f32 u1 (PI.f32)) (/.f32 alphay alphax)))
(.f32 2 (/.f32 (.f32 (PI.f32) (*.f32 alphay u1)) alphax))
(.f32 2 (.f32 alphay (*.f32 (PI.f32) (/.f32 u1 alphax))))
(*.f32 u1 (/.f32 (PI.f32) (/.f32 alphax (/.f32 alphay 1/2))))

localize553.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	10.8b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))
	12.1b	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))))))
	12.4b	(tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))
	31.7b	(tan.f32 (*.f32 1/2 (PI.f32)))

Compiler

Compiled 683 to 413 computations (39.5% saved)

eval4.3s (9.8%)

Compiler: Compiled 125344 to 80637 computations (35.7% saved)

prune2.2s (5%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	1391	6	1397
Fresh	0	0	0
Picked	0	1	1
Done	3	3	6
Total	1394	10	1404

Error

0.2b

Counts

1404 → 10

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 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax)))) 2)) (-.f32 1 u0)))))
▶	3.6b	(/.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 u1 (PI.f32)))) alphax)))) 2)))))
▶	2.1b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax)))) 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 -2)))) alphax)))) 2) (pow.f32 alphay 2)))))))
▶	2.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2)))))))
✓	0.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (.f32 (/.f32 1 (+.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 u0 (-.f32 1 u0))))))
✓	0.4b	(/.f32 1 (sqrt.f32 (+.f32 1 (.f32 (/.f32 1 (+.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 u0 (-.f32 1 u0))))))
✓	0.9b	(/.f32 1 (sqrt.f32 (+.f32 1 (.f32 (/.f32 1 (+.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 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 u0 (-.f32 1 u0))))))
✓	1.1b	(/.f32 1 (sqrt.f32 (+.f32 1 (.f32 (/.f32 1 (+.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 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 u0 (-.f32 1 u0))))))
▶	1.0b	(/.f32 1 (sqrt.f32 (+.f32 1 (.f32 (/.f32 1 (+.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 (PI.f32) u1) (.f32 (/.f32 alphay alphax) 2)))) (.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 u0 (-.f32 1 u0))))))
	2.1b	(/.f32 1 (sqrt.f32 (+.f32 1 (.f32 (/.f32 1 (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (.f32 (PI.f32) u1) (.f32 (/.f32 alphay alphax) 2)))) (.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 u0 (-.f32 1 u0))))))

Compiler

Compiled 980 to 726 computations (25.9% saved)

localize344.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 alphay (/.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))
✓	0.3b	(/.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax)
✓	0.4b	(.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))
✓	12.4b	(tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32)))

Compiler

Compiled 247 to 180 computations (27.1% saved)

series14.0ms (0%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Expression
2.0ms	alphax	@	(.f32 alphay (/.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))
2.0ms	alphax	@	(/.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax)
2.0ms	alphay	@	(.f32 alphay (/.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))
1.0ms	u1	@	(.f32 alphay (/.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))
1.0ms	u1	@	(/.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax)

rewrite118.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2016×	`rational.json-1`
2016×	`rational.json-2`
2016×	`rational.json-4`
2016×	`rational.json-3`
746×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	114
1	107	114
2	219	114
3	485	114
4	1228	114
5	5277	114

Stop Event

1×	node limit

Counts

4 → 234

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 1 (neg.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 1/2 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 2 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (neg.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 4 (/.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/4 (.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 1/2 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 4 (neg.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 4 (neg.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))))) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (.f32 2 (PI.f32))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (.f32 (PI.f32) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (.f32 (PI.f32) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (.f32 (PI.f32) 4))) (.f32 2 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (.f32 (PI.f32) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)) 1)))))
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(neg.f32 alphay))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 2 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))) (/.f32 alphax (neg.f32 alphay))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))) 4) (/.f32 alphax (neg.f32 alphay))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 4 (neg.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))))) (/.f32 alphax (neg.f32 alphay))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 alphay (/.f32 1 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))))) alphax)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (+.f32 alphay alphay) alphax) (/.f32 2 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 alphay 1/2) (/.f32 (+.f32 alphax alphax) (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 alphay (neg.f32 alphax)) (/.f32 -1 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 alphay alphay)) (-.f32 0 (/.f32 (+.f32 alphax alphax) (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (/.f32 alphay alphax)) (-.f32 0 (/.f32 1 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (neg.f32 alphay)) (/.f32 alphax (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))) (/.f32 alphay alphax)) 1)))))

simplify320.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1942×	`rational.json-simplify-35`
1322×	`rational.json-simplify-44`
1204×	`rational.json-simplify-49`
1142×	`rational.json-simplify-47`
986×	`rational.json-simplify-61`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	596	17102
1	1992	16964

Stop Event

1×	node limit

Counts

318 → 330

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 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (cos.f32 (*.f32 1/2 (PI.f32))) alphax))
(+.f32 (.f32 (-.f32 (.f32 2 (/.f32 (PI.f32) alphax)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (.f32 (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2) alphax)))) u1) (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))
(+.f32 (.f32 (-.f32 (.f32 2 (/.f32 (PI.f32) alphax)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (.f32 (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2) alphax)))) u1) (+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)) (.f32 2 (/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (pow.f32 u1 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)))) (PI.f32)))) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)))))
(+.f32 (.f32 (-.f32 (.f32 2 (/.f32 (PI.f32) alphax)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (.f32 (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2) alphax)))) u1) (+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax)) (+.f32 (.f32 2 (/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (pow.f32 u1 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)))) (PI.f32)))) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))) (.f32 (-.f32 (.f32 -4/3 (/.f32 (pow.f32 (PI.f32) 3) alphax)) (+.f32 (.f32 -4 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.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)))))) (.f32 (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2) alphax))) (+.f32 (.f32 -2 (/.f32 (.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))))) alphax)) (.f32 4/3 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (PI.f32) 3)) (.f32 (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2) alphax)))))) (pow.f32 u1 3)))))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (.f32 (cos.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (.f32 (cos.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (.f32 (cos.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (.f32 (cos.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (sin.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32))) (.f32 (cos.f32 (.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) alphax))
(/.f32 (sin.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32))) (.f32 (cos.f32 (.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) alphax))
(/.f32 (sin.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32))) (.f32 (cos.f32 (.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) alphax))
(/.f32 (sin.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32))) (.f32 (cos.f32 (.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) alphax))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (.f32 (cos.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (.f32 (cos.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (.f32 (cos.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (.f32 (cos.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (.f32 (cos.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (.f32 (cos.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (.f32 (cos.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (.f32 (cos.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (.f32 (cos.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (.f32 (cos.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (.f32 (cos.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (.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))
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(/.f32 (/.f32 (neg.f32 (tan.f32 (*.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))) (/.f32 1 alphay)) (neg.f32 alphax))
(/.f32 (/.f32 (/.f32 alphax (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))) (/.f32 1 alphay)) (.f32 (/.f32 alphax (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))) (/.f32 alphax (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))))))
(/.f32 (/.f32 -1 (/.f32 1 alphay)) (neg.f32 (/.f32 alphax (tan.f32 (*.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))))))
(/.f32 (/.f32 (/.f32 (+.f32 alphax alphax) (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))) (/.f32 1 alphay)) (.f32 2 (.f32 (/.f32 alphax (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))) (/.f32 alphax (tan.f32 (*.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))))))
(/.f32 (/.f32 4 (/.f32 1 alphay)) (/.f32 (.f32 alphax 4) (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))))
(/.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))) 8) (/.f32 1 alphay)) (*.f32 alphax 8))
(/.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))) -2) (/.f32 1 alphay)) (*.f32 alphax -2))
(/.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))) -2) (/.f32 1 alphay)) (neg.f32 (+.f32 alphax alphax)))
(/.f32 (/.f32 (.f32 2 (.f32 (/.f32 (tan.f32 (*.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))) alphax) 4)) (/.f32 1 alphay)) 8)
(/.f32 (/.f32 (.f32 2 (.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))) 8)) (/.f32 1 alphay)) (.f32 2 (*.f32 alphax 8)))
(/.f32 (/.f32 (/.f32 (tan.f32 (*.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))) (neg.f32 alphax)) (/.f32 1 alphay)) -1)
(/.f32 (/.f32 (.f32 4 (neg.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))))) (/.f32 1 alphay)) (.f32 2 (.f32 alphax -2)))
(/.f32 (/.f32 (.f32 4 (neg.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))))) (/.f32 1 alphay)) (*.f32 2 (neg.f32 (+.f32 alphax alphax))))
(/.f32 (/.f32 (.f32 4 (neg.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))))) (/.f32 1 alphay)) (neg.f32 (*.f32 alphax 4)))
(/.f32 (/.f32 (neg.f32 (.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))) -2)) (/.f32 1 alphay)) (+.f32 alphax alphax))
(/.f32 (/.f32 (.f32 2 (.f32 alphay 4)) (/.f32 alphax (tan.f32 (*.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))))) 8)
(/.f32 (/.f32 2 (/.f32 2 alphay)) (/.f32 alphax (tan.f32 (*.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))))
(/.f32 (/.f32 1 (/.f32 2 alphay)) (.f32 1/2 (/.f32 alphax (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))))))
(/.f32 (/.f32 (.f32 2 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))) (/.f32 2 alphay)) alphax)
(/.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))) 4) (/.f32 2 alphay)) (+.f32 alphax alphax))
(/.f32 (/.f32 (/.f32 (+.f32 alphax alphax) (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))) (/.f32 2 alphay)) (.f32 (/.f32 alphax (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))) (/.f32 alphax (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))))))
(/.f32 (/.f32 4 (/.f32 2 alphay)) (/.f32 (+.f32 alphax alphax) (tan.f32 (*.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))))
(/.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))) -2) (/.f32 2 alphay)) (neg.f32 alphax))
(/.f32 (/.f32 (/.f32 (.f32 alphax 4) (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))) (/.f32 2 alphay)) (.f32 2 (.f32 (/.f32 alphax (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))) (/.f32 alphax (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))))))
(/.f32 (/.f32 (.f32 (/.f32 alphax (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))) (.f32 2 (/.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))) alphax))) (/.f32 2 alphay)) (/.f32 alphax (tan.f32 (*.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))))
(/.f32 (/.f32 (tan.f32 (*.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))) (/.f32 alphax (neg.f32 alphay))) -1)
(/.f32 (/.f32 (.f32 2 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))) (/.f32 alphax (neg.f32 alphay))) -2)
(/.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))) 4) (/.f32 alphax (neg.f32 alphay))) -4)
(/.f32 (/.f32 (.f32 4 (neg.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))))) (/.f32 alphax (neg.f32 alphay))) 4)
(/.f32 (/.f32 alphay (/.f32 1 (tan.f32 (*.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))))) alphax)
(/.f32 (/.f32 (+.f32 alphay alphay) alphax) (/.f32 2 (tan.f32 (*.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))))
(/.f32 (/.f32 alphay 1/2) (/.f32 (+.f32 alphax alphax) (tan.f32 (*.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))))
(/.f32 (/.f32 alphay (neg.f32 alphax)) (/.f32 -1 (tan.f32 (*.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))))
(/.f32 (neg.f32 (+.f32 alphay alphay)) (-.f32 0 (/.f32 (+.f32 alphax alphax) (tan.f32 (*.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))))))
(/.f32 (neg.f32 (/.f32 alphay alphax)) (-.f32 0 (/.f32 1 (tan.f32 (*.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))))))
(/.f32 (neg.f32 (neg.f32 alphay)) (/.f32 alphax (tan.f32 (*.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))))
(pow.f32 (.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))) (/.f32 alphay alphax)) 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 (PI.f32) (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 1/2 (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)))
(+.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))))))))
(+.f32 (+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (.f32 (-.f32 (.f32 (PI.f32) 2) (.f32 (PI.f32) (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2)) -2))) u1)) (.f32 (.f32 (PI.f32) (.f32 (-.f32 (.f32 (PI.f32) 2) (.f32 (PI.f32) (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2)) -2))) (pow.f32 u1 2))) (.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.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))))
(+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (+.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))))))) (.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 -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))) (.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))))))) (pow.f32 u1 3))))
(+.f32 (+.f32 (.f32 (-.f32 (.f32 (PI.f32) 2) (.f32 (PI.f32) (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2)) -2))) u1) (.f32 (.f32 (PI.f32) (.f32 (-.f32 (.f32 (PI.f32) 2) (.f32 (PI.f32) (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2)) -2))) (pow.f32 u1 2))) (.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.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 -4/3 (pow.f32 (PI.f32) 3)) (+.f32 (.f32 -4 (.f32 (pow.f32 (.f32 (PI.f32) (sin.f32 (.f32 1/2 (PI.f32)))) 2) (/.f32 (-.f32 (.f32 (PI.f32) 2) (.f32 (PI.f32) (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2)) -2))) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2)))) (+.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2)) 4/3)) (.f32 -2 (.f32 (-.f32 (.f32 (PI.f32) 2) (.f32 (PI.f32) (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2)) -2))) (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))))
(/.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))))
(/.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))))
(/.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))))
(/.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))))
(/.f32 (sin.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 -2 u1)))) (cos.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 -2 u1)))))
(*.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 (PI.f32) u1)))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 (PI.f32) (*.f32 2 u1)))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 (PI.f32) u1)))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 (PI.f32) (*.f32 2 u1)))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
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(+.f32 (.f32 1/2 (PI.f32)) (.f32 (PI.f32) (*.f32 2 u1)))
(.f32 2 (.f32 u1 (PI.f32)))
(.f32 2 (.f32 (PI.f32) u1))
(.f32 (PI.f32) (.f32 2 u1))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
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(+.f32 (.f32 1/2 (PI.f32)) (.f32 (PI.f32) (*.f32 2 u1)))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
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(+.f32 (.f32 1/2 (PI.f32)) (.f32 (PI.f32) (*.f32 2 u1)))
(.f32 2 (.f32 u1 (PI.f32)))
(.f32 2 (.f32 (PI.f32) u1))
(.f32 (PI.f32) (.f32 2 u1))
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(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 (PI.f32) u1)))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 (PI.f32) (*.f32 2 u1)))
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(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (.f32 (cos.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (.f32 (cos.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (.f32 (cos.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (.f32 (cos.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax))
(/.f32 (sin.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32))) (.f32 (cos.f32 (.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) alphax))
(/.f32 (sin.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 -2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (-.f32 1/2 (*.f32 -2 u1)))) alphax))
(/.f32 (sin.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32))) (.f32 (cos.f32 (.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) alphax))
(/.f32 (sin.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 -2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (-.f32 1/2 (*.f32 -2 u1)))) alphax))
(/.f32 (sin.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32))) (.f32 (cos.f32 (.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) alphax))
(/.f32 (sin.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 -2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (-.f32 1/2 (*.f32 -2 u1)))) alphax))
(/.f32 (sin.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32))) (.f32 (cos.f32 (.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) alphax))
(/.f32 (sin.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 -2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (-.f32 1/2 (*.f32 -2 u1)))) alphax))
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(/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax))
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(/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (.f32 (cos.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax))
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(/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax))
(/.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (.f32 (cos.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))) alphax))
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(.f32 (sin.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))) (/.f32 alphay (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))) alphax)))
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(.f32 (sin.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))) (/.f32 alphay (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))) alphax)))
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(/.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))
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(/.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))
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(/.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))
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(/.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))
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(/.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))
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(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
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(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (/.f32 alphay alphax))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) alphax))
(/.f32 (/.f32 alphay 1/2) (/.f32 (+.f32 alphax alphax) (tan.f32 (*.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (/.f32 alphay alphax))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) alphax))
(/.f32 (/.f32 alphay (neg.f32 alphax)) (/.f32 -1 (tan.f32 (*.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (/.f32 alphay alphax))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) alphax))
(/.f32 (neg.f32 (+.f32 alphay alphay)) (-.f32 0 (/.f32 (+.f32 alphax alphax) (tan.f32 (*.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))))))
(/.f32 (neg.f32 (+.f32 alphay alphay)) (neg.f32 (/.f32 (+.f32 alphax alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 alphay alphay))) (/.f32 alphax (.f32 1/2 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))))))
(/.f32 (neg.f32 (/.f32 alphay alphax)) (-.f32 0 (/.f32 1 (tan.f32 (*.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))))))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (/.f32 alphay alphax))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) alphax))
(/.f32 (neg.f32 (neg.f32 alphay)) (/.f32 alphax (tan.f32 (*.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32)))))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (/.f32 alphay alphax))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) alphax))
(pow.f32 (.f32 (tan.f32 (.f32 (+.f32 u1 (+.f32 u1 1/2)) (PI.f32))) (/.f32 alphay alphax)) 1)
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) (/.f32 alphay alphax))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) alphax))

localize176.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f32 u0 (pow.f32 alphax 2))
✓	0.3b	(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
✓	0.3b	(*.f32 u1 (PI.f32))
✓	0.3b	(/.f32 (*.f32 u0 (pow.f32 alphax 2)) (-.f32 1 u0))

Compiler

Compiled 206 to 131 computations (36.4% saved)

series5.0ms (0%)

Counts

4 → 60

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	alphax	@	0	(/.f32 (*.f32 u0 (pow.f32 alphax 2)) (-.f32 1 u0))
0.0ms	alphax	@	inf	(/.f32 (*.f32 u0 (pow.f32 alphax 2)) (-.f32 1 u0))
0.0ms	u0	@	0	(/.f32 (*.f32 u0 (pow.f32 alphax 2)) (-.f32 1 u0))
0.0ms	u0	@	0	(*.f32 u0 (pow.f32 alphax 2))
0.0ms	u0	@	inf	(/.f32 (*.f32 u0 (pow.f32 alphax 2)) (-.f32 1 u0))

rewrite99.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1890×	`rational.json-1`
1890×	`rational.json-2`
1890×	`rational.json-3`
1440×	`rational.json-simplify-35`
920×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	78
1	146	78
2	350	78
3	899	78
4	2671	78
5	6649	78

Stop Event

1×	node limit

Counts

4 → 120

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 u0 (/.f32 (-.f32 1 u0) (pow.f32 alphax 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 u0 (/.f32 (-.f32 1 u0) (pow.f32 alphax 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 1 (.f32 (pow.f32 alphax 2) (/.f32 u0 (+.f32 u0 -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 u0 (/.f32 (-.f32 1 u0) (pow.f32 alphax 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (.f32 (pow.f32 alphax 2) (/.f32 u0 (+.f32 u0 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 u0 (/.f32 (pow.f32 alphax 2) (-.f32 1 u0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (.f32 u0 (pow.f32 alphax 2)) (.f32 2 (-.f32 1 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (/.f32 u0 (/.f32 (-.f32 1 u0) (pow.f32 alphax 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 (/.f32 -1/2 (+.f32 u0 -1)) (.f32 u0 (pow.f32 alphax 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 (.f32 u0 (/.f32 -1/2 (+.f32 u0 -1))) (pow.f32 alphax 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 (.f32 (pow.f32 alphax 2) (/.f32 -1/2 (+.f32 u0 -1))) u0))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 (.f32 (pow.f32 alphax 2) 1/2) (/.f32 u0 (-.f32 1 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 alphax 2) (/.f32 u0 (-.f32 1 u0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 u0 (pow.f32 alphax 2)) (/.f32 -1 (+.f32 u0 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 u0 (/.f32 (-.f32 1 u0) (pow.f32 alphax 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 u0 (/.f32 (-.f32 1 u0) (pow.f32 alphax 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 u0 (.f32 2 (pow.f32 alphax 2))) (/.f32 -1/2 (+.f32 u0 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 u0 (.f32 2 (pow.f32 alphax 2))) (.f32 (/.f32 -1 (+.f32 u0 -1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 u0 (-.f32 1 u0)) (pow.f32 alphax 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 u0 (neg.f32 (pow.f32 alphax 2))) (/.f32 1 (+.f32 u0 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (.f32 (pow.f32 alphax 2) (/.f32 u0 (+.f32 u0 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (pow.f32 alphax 2)) (.f32 u0 (/.f32 -1/2 (+.f32 u0 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (pow.f32 alphax 2)) (.f32 (/.f32 -1 (+.f32 u0 -1)) (.f32 u0 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (pow.f32 alphax 2)) (.f32 1/2 (/.f32 u0 (-.f32 1 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 u0 u0) (.f32 (pow.f32 alphax 2) (/.f32 -1/2 (+.f32 u0 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 u0 u0) (.f32 (/.f32 -1 (+.f32 u0 -1)) (.f32 (pow.f32 alphax 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (/.f32 u0 (/.f32 (-.f32 1 u0) (pow.f32 alphax 2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 u0 (.f32 (pow.f32 alphax 2) 4)) (/.f32 1 (.f32 (-.f32 1 u0) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 -1 (+.f32 u0 -1)) (.f32 u0 (pow.f32 alphax 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 2 (/.f32 u0 (/.f32 (-.f32 1 u0) (pow.f32 alphax 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 alphax 2) (-.f32 1 u0)) u0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 u0) (/.f32 (pow.f32 alphax 2) (+.f32 u0 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (/.f32 (pow.f32 alphax 2) (-.f32 1 u0))) (.f32 u0 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (+.f32 u0 u0) (-.f32 1 u0)) (.f32 (pow.f32 alphax 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 alphax 2) (/.f32 u0 (+.f32 u0 -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 u0 1/2) (.f32 2 (/.f32 (pow.f32 alphax 2) (-.f32 1 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 alphax 2) 1/2) (/.f32 (+.f32 u0 u0) (-.f32 1 u0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (pow.f32 alphax 2)) (/.f32 u0 (+.f32 u0 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 u0 (/.f32 -1/2 (+.f32 u0 -1))) (.f32 2 (pow.f32 alphax 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 alphax 2) (/.f32 -1/2 (+.f32 u0 -1))) (+.f32 u0 u0))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 -1/2 (+.f32 u0 -1)) (.f32 u0 (.f32 2 (pow.f32 alphax 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (+.f32 u0 -1)) (.f32 u0 (neg.f32 (pow.f32 alphax 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 alphax 2) (.f32 u0 -2)) (/.f32 2 (.f32 (+.f32 u0 -1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 -1 (+.f32 u0 -1)) 1/2) (.f32 u0 (.f32 2 (pow.f32 alphax 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 -1 (+.f32 u0 -1)) (.f32 u0 1/2)) (.f32 2 (pow.f32 alphax 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 -1 (+.f32 u0 -1)) (.f32 (pow.f32 alphax 2) 1/2)) (+.f32 u0 u0))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 u0 (+.f32 u0 -1)) (neg.f32 (pow.f32 alphax 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (.f32 u0 (pow.f32 alphax 2)) (.f32 2 (-.f32 1 u0))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 alphax 2) (+.f32 u0 -1)) (neg.f32 u0))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 u0 (/.f32 (-.f32 1 u0) (pow.f32 alphax 2))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (.f32 (-.f32 1 u0) 4)) (.f32 u0 (.f32 (pow.f32 alphax 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 2 (.f32 (+.f32 u0 -1) 4)) (.f32 (pow.f32 alphax 2) (.f32 u0 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (/.f32 -1/2 (+.f32 u0 -1)) (/.f32 -1/2 (+.f32 u0 -1))) (.f32 u0 (pow.f32 alphax 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 u0 (/.f32 (-.f32 1 u0) (pow.f32 alphax 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (.f32 (pow.f32 alphax 2) (/.f32 u0 (+.f32 u0 -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u1 (PI.f32)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 u1 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 u1 (PI.f32)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 u1 (PI.f32)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 u1 (PI.f32))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (PI.f32) (.f32 u1 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 u1 (PI.f32)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (.f32 u1 (PI.f32)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u1 (PI.f32)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (/.f32 (.f32 alphax (/.f32 2 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))) alphay))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (+.f32 (/.f32 (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))) alphay) (/.f32 (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))) alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))) alphay))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 alphay (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphax alphay))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax) (/.f32 1 alphay))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))) (/.f32 (+.f32 alphax alphax) alphay))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))) (+.f32 (/.f32 alphax alphay) (/.f32 alphax alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 alphay alphay) (.f32 alphax (/.f32 2 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (.f32 2 (/.f32 alphay alphax))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax)) (/.f32 2 alphay))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax)) (+.f32 (/.f32 1 alphay) (/.f32 1 alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) 4) (+.f32 (/.f32 (+.f32 alphax alphax) alphay) (/.f32 (+.f32 alphax alphax) alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (+.f32 (/.f32 (.f32 alphax (/.f32 2 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))) alphay) (/.f32 (.f32 alphax (/.f32 2 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))) alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))) (/.f32 alphax (neg.f32 alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 alphay (.f32 (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 alphay 4) (.f32 2 (.f32 alphax (/.f32 2 (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 alphay 4) (.f32 4 (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax) 4) (+.f32 (/.f32 2 alphay) (/.f32 2 alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 alphay alphax) (/.f32 1 (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) -2) (+.f32 (/.f32 alphax (neg.f32 alphay)) (/.f32 alphax (neg.f32 alphay))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 alphay (.f32 (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 alphay 4)) (+.f32 (.f32 4 (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))) (.f32 4 (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 alphay 4) (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 alphay 2) (/.f32 (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 alphay) (neg.f32 (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (/.f32 alphay alphax) (/.f32 alphay alphax)) (+.f32 (/.f32 1 (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))) (/.f32 1 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 alphay (.f32 (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax) 4))) (.f32 2 (.f32 alphay (.f32 (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (/.f32 (.f32 alphay 4) (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))) (/.f32 (.f32 alphay 4) (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (neg.f32 alphay) (neg.f32 alphay)) (+.f32 (neg.f32 (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))) (neg.f32 (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 alphay alphay)) (-.f32 0 (.f32 alphax (/.f32 2 (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (/.f32 alphay alphax)) (-.f32 0 (/.f32 1 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (neg.f32 alphay)) (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u0 (pow.f32 alphax 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 u0 (pow.f32 alphax 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 (.f32 u0 (pow.f32 alphax 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (.f32 u0 (pow.f32 alphax 2)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 u0 (pow.f32 alphax 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (.f32 u0 (neg.f32 (pow.f32 alphax 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 u0 (pow.f32 alphax 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 u0 (.f32 2 (pow.f32 alphax 2))) 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 u0 (.f32 (pow.f32 alphax 2) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 u0 (.f32 (pow.f32 alphax 2) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 u0 (neg.f32 (pow.f32 alphax 2))) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (pow.f32 alphax 2) (.f32 u0 -2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 u0 (.f32 (pow.f32 alphax 2) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (.f32 (pow.f32 alphax 2) (.f32 u0 -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (neg.f32 (.f32 (pow.f32 alphax 2) (.f32 u0 -2))) (neg.f32 (.f32 (pow.f32 alphax 2) (.f32 u0 -2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u0 (pow.f32 alphax 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 u0 (neg.f32 (pow.f32 alphax 2))))))))

simplify129.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1340×	`rational.json-simplify-35`
1098×	`rational.json-simplify-43`
1092×	`rational.json-simplify-2`
1034×	`rational.json-simplify-44`
996×	`rational.json-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	345	6682
1	921	6452
2	2244	6022
3	7233	6018

Stop Event

1×	node limit

Counts

180 → 185

Calls

Call 1

Inputs
(*.f32 u0 (pow.f32 alphax 2))
(+.f32 (.f32 (pow.f32 u0 2) (pow.f32 alphax 2)) (.f32 u0 (pow.f32 alphax 2)))
(+.f32 (.f32 (pow.f32 u0 2) (pow.f32 alphax 2)) (+.f32 (.f32 (pow.f32 u0 3) (pow.f32 alphax 2)) (*.f32 u0 (pow.f32 alphax 2))))
(+.f32 (.f32 (pow.f32 u0 2) (pow.f32 alphax 2)) (+.f32 (.f32 (pow.f32 u0 3) (pow.f32 alphax 2)) (+.f32 (.f32 (pow.f32 u0 4) (pow.f32 alphax 2)) (.f32 u0 (pow.f32 alphax 2)))))
(*.f32 -1 (pow.f32 alphax 2))
(+.f32 (.f32 -1 (pow.f32 alphax 2)) (.f32 -1 (/.f32 (pow.f32 alphax 2) u0)))
(+.f32 (.f32 -1 (pow.f32 alphax 2)) (+.f32 (.f32 -1 (/.f32 (pow.f32 alphax 2) (pow.f32 u0 2))) (*.f32 -1 (/.f32 (pow.f32 alphax 2) u0))))
(+.f32 (.f32 -1 (pow.f32 alphax 2)) (+.f32 (.f32 -1 (/.f32 (pow.f32 alphax 2) (pow.f32 u0 3))) (+.f32 (.f32 -1 (/.f32 (pow.f32 alphax 2) (pow.f32 u0 2))) (.f32 -1 (/.f32 (pow.f32 alphax 2) u0)))))
(*.f32 -1 (pow.f32 alphax 2))
(+.f32 (.f32 -1 (pow.f32 alphax 2)) (.f32 -1 (/.f32 (pow.f32 alphax 2) u0)))
(+.f32 (.f32 -1 (pow.f32 alphax 2)) (+.f32 (.f32 -1 (/.f32 (pow.f32 alphax 2) (pow.f32 u0 2))) (*.f32 -1 (/.f32 (pow.f32 alphax 2) u0))))
(+.f32 (.f32 -1 (pow.f32 alphax 2)) (+.f32 (.f32 -1 (/.f32 (pow.f32 alphax 2) (pow.f32 u0 3))) (+.f32 (.f32 -1 (/.f32 (pow.f32 alphax 2) (pow.f32 u0 2))) (.f32 -1 (/.f32 (pow.f32 alphax 2) u0)))))
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(+.f32 (/.f32 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 -4 (pow.f32 (PI.f32) 3))) (.f32 alphay (pow.f32 u1 3))) alphax) (.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax)))
(+.f32 (.f32 2 (/.f32 (.f32 alphay (.f32 u1 (PI.f32))) alphax)) (+.f32 (/.f32 (.f32 alphay (.f32 (-.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))))) (pow.f32 u1 5))) alphax) (/.f32 (.f32 alphay (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (*.f32 -4 (pow.f32 (PI.f32) 3))) (pow.f32 u1 3))) alphax)))
(+.f32 (/.f32 (.f32 alphay (.f32 (pow.f32 u1 5) (-.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) (+.f32 (/.f32 (.f32 alphay (.f32 (-.f32 (.f32 -8/315 (pow.f32 (PI.f32) 7)) (+.f32 (.f32 -2 (.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))))))) (+.f32 (.f32 2/3 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 -4 (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 4))) (.f32 -8/45 (pow.f32 (PI.f32) 7))))) (pow.f32 u1 7))) alphax) (+.f32 (.f32 2 (/.f32 (.f32 alphay (.f32 u1 (PI.f32))) alphax)) (/.f32 (.f32 alphay (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (*.f32 -4 (pow.f32 (PI.f32) 3))) (pow.f32 u1 3))) alphax))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(+.f32 (/.f32 u0 (/.f32 (-.f32 1 u0) (pow.f32 alphax 2))) 0)
(+.f32 0 (/.f32 u0 (/.f32 (-.f32 1 u0) (pow.f32 alphax 2))))
(+.f32 -1 (-.f32 1 (*.f32 (pow.f32 alphax 2) (/.f32 u0 (+.f32 u0 -1)))))
(-.f32 (/.f32 u0 (/.f32 (-.f32 1 u0) (pow.f32 alphax 2))) 0)
(-.f32 0 (*.f32 (pow.f32 alphax 2) (/.f32 u0 (+.f32 u0 -1))))
(*.f32 u0 (/.f32 (pow.f32 alphax 2) (-.f32 1 u0)))
(.f32 2 (/.f32 (.f32 u0 (pow.f32 alphax 2)) (*.f32 2 (-.f32 1 u0))))
(*.f32 2 (/.f32 (/.f32 u0 (/.f32 (-.f32 1 u0) (pow.f32 alphax 2))) 2))
(.f32 2 (.f32 (/.f32 -1/2 (+.f32 u0 -1)) (*.f32 u0 (pow.f32 alphax 2))))
(.f32 2 (.f32 (*.f32 u0 (/.f32 -1/2 (+.f32 u0 -1))) (pow.f32 alphax 2)))
(.f32 2 (.f32 (*.f32 (pow.f32 alphax 2) (/.f32 -1/2 (+.f32 u0 -1))) u0))
(.f32 2 (.f32 (*.f32 (pow.f32 alphax 2) 1/2) (/.f32 u0 (-.f32 1 u0))))
(*.f32 (pow.f32 alphax 2) (/.f32 u0 (-.f32 1 u0)))
(.f32 (.f32 u0 (pow.f32 alphax 2)) (/.f32 -1 (+.f32 u0 -1)))
(*.f32 1 (/.f32 u0 (/.f32 (-.f32 1 u0) (pow.f32 alphax 2))))
(*.f32 (/.f32 u0 (/.f32 (-.f32 1 u0) (pow.f32 alphax 2))) 1)
(.f32 (.f32 u0 (*.f32 2 (pow.f32 alphax 2))) (/.f32 -1/2 (+.f32 u0 -1)))
(.f32 (.f32 u0 (.f32 2 (pow.f32 alphax 2))) (.f32 (/.f32 -1 (+.f32 u0 -1)) 1/2))
(*.f32 (/.f32 u0 (-.f32 1 u0)) (pow.f32 alphax 2))
(.f32 (.f32 u0 (neg.f32 (pow.f32 alphax 2))) (/.f32 1 (+.f32 u0 -1)))
(.f32 -1 (.f32 (pow.f32 alphax 2) (/.f32 u0 (+.f32 u0 -1))))
(.f32 (.f32 2 (pow.f32 alphax 2)) (*.f32 u0 (/.f32 -1/2 (+.f32 u0 -1))))
(.f32 (.f32 2 (pow.f32 alphax 2)) (.f32 (/.f32 -1 (+.f32 u0 -1)) (.f32 u0 1/2)))
(.f32 (.f32 2 (pow.f32 alphax 2)) (*.f32 1/2 (/.f32 u0 (-.f32 1 u0))))
(.f32 (+.f32 u0 u0) (.f32 (pow.f32 alphax 2) (/.f32 -1/2 (+.f32 u0 -1))))
(.f32 (+.f32 u0 u0) (.f32 (/.f32 -1 (+.f32 u0 -1)) (*.f32 (pow.f32 alphax 2) 1/2)))
(.f32 (.f32 2 (/.f32 u0 (/.f32 (-.f32 1 u0) (pow.f32 alphax 2)))) 1/2)
(.f32 (.f32 u0 (.f32 (pow.f32 alphax 2) 4)) (/.f32 1 (.f32 (-.f32 1 u0) 4)))
(.f32 (/.f32 -1 (+.f32 u0 -1)) (.f32 u0 (pow.f32 alphax 2)))
(.f32 1/2 (.f32 2 (/.f32 u0 (/.f32 (-.f32 1 u0) (pow.f32 alphax 2)))))
(*.f32 (/.f32 (pow.f32 alphax 2) (-.f32 1 u0)) u0)
(*.f32 (neg.f32 u0) (/.f32 (pow.f32 alphax 2) (+.f32 u0 -1)))
(.f32 (.f32 2 (/.f32 (pow.f32 alphax 2) (-.f32 1 u0))) (*.f32 u0 1/2))
(.f32 (/.f32 (+.f32 u0 u0) (-.f32 1 u0)) (.f32 (pow.f32 alphax 2) 1/2))
(.f32 (.f32 (pow.f32 alphax 2) (/.f32 u0 (+.f32 u0 -1))) -1)
(.f32 (.f32 u0 1/2) (*.f32 2 (/.f32 (pow.f32 alphax 2) (-.f32 1 u0))))
(.f32 (.f32 (pow.f32 alphax 2) 1/2) (/.f32 (+.f32 u0 u0) (-.f32 1 u0)))
(*.f32 (neg.f32 (pow.f32 alphax 2)) (/.f32 u0 (+.f32 u0 -1)))
(.f32 (.f32 u0 (/.f32 -1/2 (+.f32 u0 -1))) (*.f32 2 (pow.f32 alphax 2)))
(.f32 (.f32 (pow.f32 alphax 2) (/.f32 -1/2 (+.f32 u0 -1))) (+.f32 u0 u0))
(.f32 (/.f32 -1/2 (+.f32 u0 -1)) (.f32 u0 (*.f32 2 (pow.f32 alphax 2))))
(.f32 (/.f32 1 (+.f32 u0 -1)) (.f32 u0 (neg.f32 (pow.f32 alphax 2))))
(.f32 (.f32 (pow.f32 alphax 2) (.f32 u0 -2)) (/.f32 2 (.f32 (+.f32 u0 -1) 4)))
(.f32 (.f32 (/.f32 -1 (+.f32 u0 -1)) 1/2) (.f32 u0 (.f32 2 (pow.f32 alphax 2))))
(.f32 (.f32 (/.f32 -1 (+.f32 u0 -1)) (.f32 u0 1/2)) (.f32 2 (pow.f32 alphax 2)))
(.f32 (.f32 (/.f32 -1 (+.f32 u0 -1)) (*.f32 (pow.f32 alphax 2) 1/2)) (+.f32 u0 u0))
(*.f32 (/.f32 u0 (+.f32 u0 -1)) (neg.f32 (pow.f32 alphax 2)))
(.f32 (/.f32 (.f32 u0 (pow.f32 alphax 2)) (*.f32 2 (-.f32 1 u0))) 2)
(*.f32 (/.f32 (pow.f32 alphax 2) (+.f32 u0 -1)) (neg.f32 u0))
(*.f32 (/.f32 (/.f32 u0 (/.f32 (-.f32 1 u0) (pow.f32 alphax 2))) 2) 2)
(.f32 (/.f32 1 (.f32 (-.f32 1 u0) 4)) (.f32 u0 (.f32 (pow.f32 alphax 2) 4)))
(.f32 (/.f32 2 (.f32 (+.f32 u0 -1) 4)) (.f32 (pow.f32 alphax 2) (.f32 u0 -2)))
(.f32 (+.f32 (/.f32 -1/2 (+.f32 u0 -1)) (/.f32 -1/2 (+.f32 u0 -1))) (.f32 u0 (pow.f32 alphax 2)))
(pow.f32 (/.f32 u0 (/.f32 (-.f32 1 u0) (pow.f32 alphax 2))) 1)
(neg.f32 (*.f32 (pow.f32 alphax 2) (/.f32 u0 (+.f32 u0 -1))))
(+.f32 (*.f32 u1 (PI.f32)) 0)
(+.f32 0 (*.f32 u1 (PI.f32)))
(-.f32 (*.f32 u1 (PI.f32)) 0)
(/.f32 (*.f32 u1 (PI.f32)) 1)
(/.f32 (.f32 2 (.f32 u1 (PI.f32))) 2)
(/.f32 (.f32 (PI.f32) (.f32 u1 4)) 4)
(/.f32 (.f32 (.f32 u1 (PI.f32)) 8) 8)
(/.f32 (.f32 2 (.f32 (*.f32 u1 (PI.f32)) 8)) 16)
(pow.f32 (*.f32 u1 (PI.f32)) 1)
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax)) 0)
(+.f32 0 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax)))
(-.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax)) 0)
(/.f32 2 (/.f32 (.f32 alphax (/.f32 2 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))))) alphay))
(/.f32 2 (+.f32 (/.f32 (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))) alphay) (/.f32 (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))) alphay)))
(/.f32 1 (/.f32 (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))) alphay))
(/.f32 alphay (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))))
(/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphax alphay))
(/.f32 (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax) (/.f32 1 alphay))
(/.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax)) 1)
(/.f32 (.f32 2 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32))))) (/.f32 (+.f32 alphax alphax) alphay))
(/.f32 (.f32 2 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32))))) (+.f32 (/.f32 alphax alphay) (/.f32 alphax alphay)))
(/.f32 (+.f32 alphay alphay) (.f32 alphax (/.f32 2 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))))))
(/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (.f32 2 (/.f32 alphay alphax))) 2)
(/.f32 (.f32 2 (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax)) (/.f32 2 alphay))
(/.f32 (.f32 2 (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax)) (+.f32 (/.f32 1 alphay) (/.f32 1 alphay)))
(/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) 4) (+.f32 (/.f32 (+.f32 alphax alphax) alphay) (/.f32 (+.f32 alphax alphax) alphay)))
(/.f32 4 (+.f32 (/.f32 (.f32 alphax (/.f32 2 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))) alphay) (/.f32 (.f32 alphax (/.f32 2 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))) alphay)))
(/.f32 (neg.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))) (/.f32 alphax (neg.f32 alphay)))
(/.f32 (.f32 alphay (.f32 (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax) 4)) 4)
(/.f32 (.f32 alphay 4) (.f32 2 (.f32 alphax (/.f32 2 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32))))))))
(/.f32 (.f32 alphay 4) (.f32 4 (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))))
(/.f32 (.f32 (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax) 4) (+.f32 (/.f32 2 alphay) (/.f32 2 alphay)))
(/.f32 (/.f32 alphay alphax) (/.f32 1 (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))))
(/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) -2) (+.f32 (/.f32 alphax (neg.f32 alphay)) (/.f32 alphax (neg.f32 alphay))))
(/.f32 (.f32 2 (.f32 alphay (.f32 (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax) 4))) 8)
(/.f32 (.f32 2 (.f32 alphay 4)) (+.f32 (.f32 4 (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))) (.f32 4 (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))))))
(/.f32 (/.f32 (.f32 alphay 4) (/.f32 alphax (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))))) 4)
(/.f32 (/.f32 alphay 2) (/.f32 (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))) 2))
(/.f32 (neg.f32 alphay) (neg.f32 (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))))
(/.f32 (+.f32 (/.f32 alphay alphax) (/.f32 alphay alphax)) (+.f32 (/.f32 1 (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))) (/.f32 1 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))))
(/.f32 (+.f32 (.f32 2 (.f32 alphay (.f32 (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax) 4))) (.f32 2 (.f32 alphay (.f32 (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax) 4)))) 16)
(/.f32 (+.f32 (/.f32 (.f32 alphay 4) (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))) (/.f32 (.f32 alphay 4) (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))))) 8)
(/.f32 (+.f32 (neg.f32 alphay) (neg.f32 alphay)) (+.f32 (neg.f32 (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))) (neg.f32 (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))))))
(/.f32 (neg.f32 (+.f32 alphay alphay)) (-.f32 0 (.f32 alphax (/.f32 2 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32))))))))
(/.f32 (neg.f32 (/.f32 alphay alphax)) (-.f32 0 (/.f32 1 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))))
(/.f32 (neg.f32 (neg.f32 alphay)) (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))))
(pow.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax)) 1)
(+.f32 (*.f32 u0 (pow.f32 alphax 2)) 0)
(+.f32 0 (*.f32 u0 (pow.f32 alphax 2)))
(+.f32 -1 (-.f32 (*.f32 u0 (pow.f32 alphax 2)) -1))
(+.f32 (-.f32 (*.f32 u0 (pow.f32 alphax 2)) -1) -1)
(-.f32 (*.f32 u0 (pow.f32 alphax 2)) 0)
(-.f32 0 (*.f32 u0 (neg.f32 (pow.f32 alphax 2))))
(/.f32 (*.f32 u0 (pow.f32 alphax 2)) 1)
(/.f32 (.f32 u0 (.f32 2 (pow.f32 alphax 2))) 2)
(/.f32 (*.f32 u0 (neg.f32 (pow.f32 alphax 2))) -1)
(/.f32 (.f32 u0 (.f32 (pow.f32 alphax 2) 4)) 4)
(/.f32 (.f32 2 (.f32 u0 (*.f32 (pow.f32 alphax 2) 4))) 8)
(/.f32 (.f32 (.f32 u0 (neg.f32 (pow.f32 alphax 2))) 4) -4)
(/.f32 (.f32 (pow.f32 alphax 2) (.f32 u0 -2)) -2)
(/.f32 (.f32 2 (.f32 2 (.f32 u0 (.f32 (pow.f32 alphax 2) 4)))) 16)
(/.f32 (neg.f32 (.f32 (pow.f32 alphax 2) (.f32 u0 -2))) 2)
(/.f32 (+.f32 (neg.f32 (.f32 (pow.f32 alphax 2) (.f32 u0 -2))) (neg.f32 (.f32 (pow.f32 alphax 2) (.f32 u0 -2)))) 4)
(pow.f32 (*.f32 u0 (pow.f32 alphax 2)) 1)
(neg.f32 (*.f32 u0 (neg.f32 (pow.f32 alphax 2))))

Outputs
(*.f32 u0 (pow.f32 alphax 2))
(+.f32 (.f32 (pow.f32 u0 2) (pow.f32 alphax 2)) (.f32 u0 (pow.f32 alphax 2)))
(+.f32 (.f32 u0 (pow.f32 alphax 2)) (pow.f32 (.f32 u0 alphax) 2))
(*.f32 (pow.f32 alphax 2) (+.f32 (pow.f32 u0 2) u0))
(*.f32 (pow.f32 alphax 2) (+.f32 u0 (pow.f32 u0 2)))
(+.f32 (.f32 (pow.f32 u0 2) (pow.f32 alphax 2)) (+.f32 (.f32 (pow.f32 u0 3) (pow.f32 alphax 2)) (*.f32 u0 (pow.f32 alphax 2))))
(+.f32 (pow.f32 (.f32 u0 alphax) 2) (+.f32 (.f32 u0 (pow.f32 alphax 2)) (*.f32 (pow.f32 alphax 2) (pow.f32 u0 3))))
(+.f32 (pow.f32 (.f32 u0 alphax) 2) (.f32 (pow.f32 alphax 2) (+.f32 (pow.f32 u0 3) u0)))
(*.f32 (pow.f32 alphax 2) (+.f32 (pow.f32 u0 3) (+.f32 u0 (pow.f32 u0 2))))
(+.f32 (.f32 (pow.f32 u0 2) (pow.f32 alphax 2)) (+.f32 (.f32 (pow.f32 u0 3) (pow.f32 alphax 2)) (+.f32 (.f32 (pow.f32 u0 4) (pow.f32 alphax 2)) (.f32 u0 (pow.f32 alphax 2)))))
(+.f32 (.f32 (pow.f32 alphax 2) (pow.f32 u0 3)) (+.f32 (+.f32 (.f32 u0 (pow.f32 alphax 2)) (.f32 (pow.f32 alphax 2) (pow.f32 u0 4))) (pow.f32 (.f32 u0 alphax) 2)))
(+.f32 (.f32 (pow.f32 alphax 2) (pow.f32 u0 3)) (+.f32 (pow.f32 (.f32 u0 alphax) 2) (*.f32 (pow.f32 alphax 2) (+.f32 (pow.f32 u0 4) u0))))
(+.f32 (pow.f32 (.f32 u0 alphax) 2) (.f32 (pow.f32 alphax 2) (+.f32 (pow.f32 u0 4) (+.f32 u0 (pow.f32 u0 3)))))
(*.f32 -1 (pow.f32 alphax 2))
(neg.f32 (pow.f32 alphax 2))
(+.f32 (.f32 -1 (pow.f32 alphax 2)) (.f32 -1 (/.f32 (pow.f32 alphax 2) u0)))
(+.f32 (neg.f32 (pow.f32 alphax 2)) (*.f32 -1 (/.f32 (pow.f32 alphax 2) u0)))
(*.f32 -1 (+.f32 (/.f32 (pow.f32 alphax 2) u0) (pow.f32 alphax 2)))
(*.f32 -1 (+.f32 (pow.f32 alphax 2) (/.f32 (pow.f32 alphax 2) u0)))
(neg.f32 (+.f32 (pow.f32 alphax 2) (/.f32 (pow.f32 alphax 2) u0)))
(+.f32 (.f32 -1 (pow.f32 alphax 2)) (+.f32 (.f32 -1 (/.f32 (pow.f32 alphax 2) (pow.f32 u0 2))) (*.f32 -1 (/.f32 (pow.f32 alphax 2) u0))))
(+.f32 (neg.f32 (pow.f32 alphax 2)) (+.f32 (.f32 -1 (/.f32 (pow.f32 alphax 2) u0)) (.f32 -1 (/.f32 (pow.f32 alphax 2) (pow.f32 u0 2)))))
(+.f32 (neg.f32 (pow.f32 alphax 2)) (*.f32 -1 (+.f32 (/.f32 (pow.f32 alphax 2) (pow.f32 u0 2)) (/.f32 (pow.f32 alphax 2) u0))))
(*.f32 -1 (+.f32 (/.f32 (pow.f32 alphax 2) (pow.f32 u0 2)) (+.f32 (pow.f32 alphax 2) (/.f32 (pow.f32 alphax 2) u0))))
(+.f32 (.f32 -1 (pow.f32 alphax 2)) (+.f32 (.f32 -1 (/.f32 (pow.f32 alphax 2) (pow.f32 u0 3))) (+.f32 (.f32 -1 (/.f32 (pow.f32 alphax 2) (pow.f32 u0 2))) (.f32 -1 (/.f32 (pow.f32 alphax 2) u0)))))
(+.f32 (neg.f32 (pow.f32 alphax 2)) (+.f32 (.f32 -1 (/.f32 (pow.f32 alphax 2) (pow.f32 u0 2))) (+.f32 (.f32 -1 (/.f32 (pow.f32 alphax 2) u0)) (*.f32 -1 (/.f32 (pow.f32 alphax 2) (pow.f32 u0 3))))))
(+.f32 (neg.f32 (pow.f32 alphax 2)) (+.f32 (neg.f32 (/.f32 (pow.f32 alphax 2) (pow.f32 u0 2))) (*.f32 -1 (+.f32 (/.f32 (pow.f32 alphax 2) (pow.f32 u0 3)) (/.f32 (pow.f32 alphax 2) u0)))))
(+.f32 (neg.f32 (pow.f32 alphax 2)) (*.f32 -1 (+.f32 (/.f32 (pow.f32 alphax 2) (pow.f32 u0 3)) (+.f32 (/.f32 (pow.f32 alphax 2) u0) (/.f32 (pow.f32 alphax 2) (pow.f32 u0 2))))))
(*.f32 -1 (pow.f32 alphax 2))
(neg.f32 (pow.f32 alphax 2))
(+.f32 (.f32 -1 (pow.f32 alphax 2)) (.f32 -1 (/.f32 (pow.f32 alphax 2) u0)))
(+.f32 (neg.f32 (pow.f32 alphax 2)) (*.f32 -1 (/.f32 (pow.f32 alphax 2) u0)))
(*.f32 -1 (+.f32 (/.f32 (pow.f32 alphax 2) u0) (pow.f32 alphax 2)))
(*.f32 -1 (+.f32 (pow.f32 alphax 2) (/.f32 (pow.f32 alphax 2) u0)))
(neg.f32 (+.f32 (pow.f32 alphax 2) (/.f32 (pow.f32 alphax 2) u0)))
(+.f32 (.f32 -1 (pow.f32 alphax 2)) (+.f32 (.f32 -1 (/.f32 (pow.f32 alphax 2) (pow.f32 u0 2))) (*.f32 -1 (/.f32 (pow.f32 alphax 2) u0))))
(+.f32 (neg.f32 (pow.f32 alphax 2)) (+.f32 (.f32 -1 (/.f32 (pow.f32 alphax 2) u0)) (.f32 -1 (/.f32 (pow.f32 alphax 2) (pow.f32 u0 2)))))
(+.f32 (neg.f32 (pow.f32 alphax 2)) (*.f32 -1 (+.f32 (/.f32 (pow.f32 alphax 2) (pow.f32 u0 2)) (/.f32 (pow.f32 alphax 2) u0))))
(*.f32 -1 (+.f32 (/.f32 (pow.f32 alphax 2) (pow.f32 u0 2)) (+.f32 (pow.f32 alphax 2) (/.f32 (pow.f32 alphax 2) u0))))
(+.f32 (.f32 -1 (pow.f32 alphax 2)) (+.f32 (.f32 -1 (/.f32 (pow.f32 alphax 2) (pow.f32 u0 3))) (+.f32 (.f32 -1 (/.f32 (pow.f32 alphax 2) (pow.f32 u0 2))) (.f32 -1 (/.f32 (pow.f32 alphax 2) u0)))))
(+.f32 (neg.f32 (pow.f32 alphax 2)) (+.f32 (.f32 -1 (/.f32 (pow.f32 alphax 2) (pow.f32 u0 2))) (+.f32 (.f32 -1 (/.f32 (pow.f32 alphax 2) u0)) (*.f32 -1 (/.f32 (pow.f32 alphax 2) (pow.f32 u0 3))))))
(+.f32 (neg.f32 (pow.f32 alphax 2)) (+.f32 (neg.f32 (/.f32 (pow.f32 alphax 2) (pow.f32 u0 2))) (*.f32 -1 (+.f32 (/.f32 (pow.f32 alphax 2) (pow.f32 u0 3)) (/.f32 (pow.f32 alphax 2) u0)))))
(+.f32 (neg.f32 (pow.f32 alphax 2)) (*.f32 -1 (+.f32 (/.f32 (pow.f32 alphax 2) (pow.f32 u0 3)) (+.f32 (/.f32 (pow.f32 alphax 2) u0) (/.f32 (pow.f32 alphax 2) (pow.f32 u0 2))))))
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(/.f32 (.f32 alphay (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 alphay (.f32 alphax (cos.f32 (.f32 2 (.f32 (PI.f32) u1))))))
(.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 (/.f32 alphay alphax) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 alphay (/.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(/.f32 (.f32 alphay (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 alphay (.f32 alphax (cos.f32 (.f32 2 (.f32 (PI.f32) u1))))))
(.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 (/.f32 alphay alphax) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 alphay (/.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(/.f32 (.f32 alphay (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 alphay (.f32 alphax (cos.f32 (.f32 2 (.f32 (PI.f32) u1))))))
(.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 (/.f32 alphay alphax) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 alphay (/.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(/.f32 (.f32 alphay (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 alphay (.f32 alphax (cos.f32 (.f32 2 (.f32 (PI.f32) u1))))))
(.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 (/.f32 alphay alphax) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 alphay (/.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(/.f32 (.f32 alphay (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 alphay (.f32 alphax (cos.f32 (.f32 2 (.f32 (PI.f32) u1))))))
(.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 (/.f32 alphay alphax) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 alphay (/.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(/.f32 (.f32 alphay (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 alphay (.f32 alphax (cos.f32 (.f32 2 (.f32 (PI.f32) u1))))))
(.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 (/.f32 alphay alphax) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 alphay (/.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(/.f32 (.f32 alphay (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 alphay (.f32 alphax (cos.f32 (.f32 2 (.f32 (PI.f32) u1))))))
(.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 (/.f32 alphay alphax) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 alphay (/.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(/.f32 (.f32 alphay (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 alphay (.f32 alphax (cos.f32 (.f32 2 (.f32 (PI.f32) u1))))))
(.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 (/.f32 alphay alphax) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 alphay (/.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(/.f32 (.f32 alphay (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 alphay (.f32 alphax (cos.f32 (.f32 2 (.f32 (PI.f32) u1))))))
(.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 (/.f32 alphay alphax) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 alphay (/.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(/.f32 (.f32 alphay (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 alphay (.f32 alphax (cos.f32 (.f32 2 (.f32 (PI.f32) u1))))))
(.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 (/.f32 alphay alphax) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 alphay (/.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(/.f32 (.f32 alphay (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 alphay (.f32 alphax (cos.f32 (.f32 2 (.f32 (PI.f32) u1))))))
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(*.f32 (PI.f32) u1)
(pow.f32 (*.f32 u1 (PI.f32)) 1)
(*.f32 (PI.f32) u1)
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax)) 0)
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))
(+.f32 0 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax)))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))
(-.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax)) 0)
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))
(/.f32 2 (/.f32 (.f32 alphax (/.f32 2 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))))) alphay))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))
(/.f32 2 (+.f32 (/.f32 (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))) alphay) (/.f32 (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))) alphay)))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))
(/.f32 1 (/.f32 (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))) alphay))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))
(/.f32 alphay (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphax alphay))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))
(/.f32 (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax) (/.f32 1 alphay))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))
(/.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax)) 1)
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))
(/.f32 (.f32 2 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32))))) (/.f32 (+.f32 alphax alphax) alphay))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))
(/.f32 (.f32 2 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32))))) (+.f32 (/.f32 alphax alphay) (/.f32 alphax alphay)))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))
(/.f32 (+.f32 alphay alphay) (.f32 alphax (/.f32 2 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))))))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))
(/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (.f32 2 (/.f32 alphay alphax))) 2)
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))
(/.f32 (.f32 2 (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax)) (/.f32 2 alphay))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))
(/.f32 (.f32 2 (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax)) (+.f32 (/.f32 1 alphay) (/.f32 1 alphay)))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))
(/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) 4) (+.f32 (/.f32 (+.f32 alphax alphax) alphay) (/.f32 (+.f32 alphax alphax) alphay)))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))
(/.f32 4 (+.f32 (/.f32 (.f32 alphax (/.f32 2 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))) alphay) (/.f32 (.f32 alphax (/.f32 2 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))) alphay)))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))
(/.f32 (neg.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))) (/.f32 alphax (neg.f32 alphay)))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))
(/.f32 (.f32 alphay (.f32 (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax) 4)) 4)
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))
(/.f32 (.f32 alphay 4) (.f32 2 (.f32 alphax (/.f32 2 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32))))))))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))
(/.f32 (.f32 alphay 4) (.f32 4 (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))
(/.f32 (.f32 (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax) 4) (+.f32 (/.f32 2 alphay) (/.f32 2 alphay)))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))
(/.f32 (/.f32 alphay alphax) (/.f32 1 (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))
(/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) -2) (+.f32 (/.f32 alphax (neg.f32 alphay)) (/.f32 alphax (neg.f32 alphay))))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))
(/.f32 (.f32 2 (.f32 alphay (.f32 (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax) 4))) 8)
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))
(/.f32 (.f32 2 (.f32 alphay 4)) (+.f32 (.f32 4 (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))) (.f32 4 (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))))))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))
(/.f32 (/.f32 (.f32 alphay 4) (/.f32 alphax (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))))) 4)
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))
(/.f32 (/.f32 alphay 2) (/.f32 (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))) 2))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))
(/.f32 (neg.f32 alphay) (neg.f32 (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))
(/.f32 (+.f32 (/.f32 alphay alphax) (/.f32 alphay alphax)) (+.f32 (/.f32 1 (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))) (/.f32 1 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))
(/.f32 (+.f32 (.f32 2 (.f32 alphay (.f32 (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax) 4))) (.f32 2 (.f32 alphay (.f32 (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax) 4)))) 16)
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))
(/.f32 (+.f32 (/.f32 (.f32 alphay 4) (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))) (/.f32 (.f32 alphay 4) (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))))) 8)
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))
(/.f32 (+.f32 (neg.f32 alphay) (neg.f32 alphay)) (+.f32 (neg.f32 (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))) (neg.f32 (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))))))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))
(/.f32 (neg.f32 (+.f32 alphay alphay)) (-.f32 0 (.f32 alphax (/.f32 2 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32))))))))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))
(/.f32 (neg.f32 (/.f32 alphay alphax)) (-.f32 0 (/.f32 1 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))
(/.f32 (neg.f32 (neg.f32 alphay)) (/.f32 alphax (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))
(pow.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax)) 1)
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphax))
(/.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) (/.f32 alphax alphay))
(.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) (/.f32 alphay alphax))
(+.f32 (*.f32 u0 (pow.f32 alphax 2)) 0)
(*.f32 u0 (pow.f32 alphax 2))
(+.f32 0 (*.f32 u0 (pow.f32 alphax 2)))
(*.f32 u0 (pow.f32 alphax 2))
(+.f32 -1 (-.f32 (*.f32 u0 (pow.f32 alphax 2)) -1))
(*.f32 u0 (pow.f32 alphax 2))
(+.f32 (-.f32 (*.f32 u0 (pow.f32 alphax 2)) -1) -1)
(*.f32 u0 (pow.f32 alphax 2))
(-.f32 (*.f32 u0 (pow.f32 alphax 2)) 0)
(*.f32 u0 (pow.f32 alphax 2))
(-.f32 0 (*.f32 u0 (neg.f32 (pow.f32 alphax 2))))
(*.f32 u0 (pow.f32 alphax 2))
(/.f32 (*.f32 u0 (pow.f32 alphax 2)) 1)
(*.f32 u0 (pow.f32 alphax 2))
(/.f32 (.f32 u0 (.f32 2 (pow.f32 alphax 2))) 2)
(*.f32 u0 (pow.f32 alphax 2))
(/.f32 (*.f32 u0 (neg.f32 (pow.f32 alphax 2))) -1)
(*.f32 u0 (pow.f32 alphax 2))
(/.f32 (.f32 u0 (.f32 (pow.f32 alphax 2) 4)) 4)
(*.f32 u0 (pow.f32 alphax 2))
(/.f32 (.f32 2 (.f32 u0 (*.f32 (pow.f32 alphax 2) 4))) 8)
(*.f32 u0 (pow.f32 alphax 2))
(/.f32 (.f32 (.f32 u0 (neg.f32 (pow.f32 alphax 2))) 4) -4)
(*.f32 u0 (pow.f32 alphax 2))
(/.f32 (.f32 (pow.f32 alphax 2) (.f32 u0 -2)) -2)
(*.f32 u0 (pow.f32 alphax 2))
(/.f32 (.f32 2 (.f32 2 (.f32 u0 (.f32 (pow.f32 alphax 2) 4)))) 16)
(*.f32 u0 (pow.f32 alphax 2))
(/.f32 (neg.f32 (.f32 (pow.f32 alphax 2) (.f32 u0 -2))) 2)
(*.f32 u0 (pow.f32 alphax 2))
(/.f32 (+.f32 (neg.f32 (.f32 (pow.f32 alphax 2) (.f32 u0 -2))) (neg.f32 (.f32 (pow.f32 alphax 2) (.f32 u0 -2)))) 4)
(*.f32 u0 (pow.f32 alphax 2))
(pow.f32 (*.f32 u0 (pow.f32 alphax 2)) 1)
(*.f32 u0 (pow.f32 alphax 2))
(neg.f32 (*.f32 u0 (neg.f32 (pow.f32 alphax 2))))
(*.f32 u0 (pow.f32 alphax 2))

localize461.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2))))
✓	0.3b	(.f32 u1 (.f32 (PI.f32) 2))
	0.4b	(.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))
	12.4b	(tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32)))

Compiler

Compiled 426 to 307 computations (27.9% saved)

series69.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
54.0ms	u0	@	inf	(/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2))))
3.0ms	u0	@	0	(/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2))))
2.0ms	alphay	@	inf	(/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2))))
1.0ms	u1	@	0	(/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2))))
1.0ms	alphay	@	-inf	(/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2))))

rewrite72.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1398×	`exponential.json-3`
1398×	`rational.json-1`
1398×	`rational.json-2`
1398×	`rational.json-4`
1398×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	146
1	237	146
2	538	146
3	1381	146
4	3949	146

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

Inputs

(*.f32 u1 (*.f32 (PI.f32) 2))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u1 (*.f32 (PI.f32) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 u1 (*.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u1 (PI.f32)) (*.f32 u1 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 u1 (*.f32 (PI.f32) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u1 (*.f32 (PI.f32) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u1 (*.f32 (PI.f32) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u1 (*.f32 (PI.f32) 8)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 u1 (*.f32 (PI.f32) 8))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u1 (*.f32 (PI.f32) 2)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 u1 (*.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 u1 (*.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 u1 (*.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 u0 (*.f32 2 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 u1 (*.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 u1 (*.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u0 (/.f32 1 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 u1 (*.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 2 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 u1 (*.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 u1 (*.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 u1 (*.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 u0 u0) (/.f32 1/2 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 u1 (*.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 u0 u0) (*.f32 1/2 (/.f32 1 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 u1 (*.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 u0 (neg.f32 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 u1 (*.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 u1 (*.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u0 4) (/.f32 1 (*.f32 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 u1 (*.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 u1 (*.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2)))) u0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 u0) (/.f32 -1 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 u1 (*.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 u1 (*.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2)))) (+.f32 u0 u0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 1/2 (/.f32 1 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 u1 (*.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2))))) (+.f32 u0 u0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 u0 (neg.f32 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 u1 (*.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 u0 (*.f32 2 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 u1 (*.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 u1 (*.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 u1 (*.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2))) 4)) (*.f32 u0 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 u1 (*.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2)))) (neg.f32 u0))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 u1 (*.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 u0 (neg.f32 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 u1 (*.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2))))))))))

simplify685.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1442×	`rational.json-simplify-49`
1184×	`rational.json-simplify-35`
1168×	`rational.json-simplify-46`
1090×	`rational.json-simplify-2`
782×	`rational.json-simplify-43`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	184	13382
1	439	13334
2	968	13322
3	2179	13178
4	5649	13166
5	7590	13166

Stop Event

1×	node limit

Counts

94 → 92

Calls

Call 1

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

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

localize864.0ms (2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f32 u1 (.f32 (PI.f32) 2))
✓	0.4b	(/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax)))) 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 -2)))) alphax)))) 2) (pow.f32 alphay 2))))
✓	0.4b	(.f32 (PI.f32) (-.f32 1/2 (.f32 u1 -2)))
✓	12.4b	(tan.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 u1 -2))))

Compiler

Compiled 451 to 325 computations (27.9% saved)

series1.2s (2.7%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.1s	alphay	@	0	(/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax)))) 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 -2)))) alphax)))) 2) (pow.f32 alphay 2))))
15.0ms	alphay	@	inf	(/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax)))) 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 -2)))) alphax)))) 2) (pow.f32 alphay 2))))
3.0ms	u1	@	0	(/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax)))) 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 -2)))) alphax)))) 2) (pow.f32 alphay 2))))
3.0ms	u0	@	0	(/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax)))) 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 -2)))) alphax)))) 2) (pow.f32 alphay 2))))
2.0ms	alphax	@	inf	(/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax)))) 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 -2)))) alphax)))) 2) (pow.f32 alphay 2))))

rewrite100.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1784×	`exponential.json-3`
1784×	`rational.json-1`
1784×	`rational.json-2`
1784×	`rational.json-4`
1784×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	189
1	276	189
2	675	189
3	1913	189
4	5285	189

Stop Event

1×	node limit

Counts

3 → 55

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) (-.f32 1/2 (*.f32 u1 -2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (PI.f32) (-.f32 1/2 (*.f32 u1 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (PI.f32) (-.f32 1/2 (*.f32 u1 -2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (-.f32 1/2 (*.f32 u1 -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 (-.f32 1/2 (*.f32 u1 -2)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (PI.f32) (-.f32 1/2 (*.f32 u1 -2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 (*.f32 (PI.f32) (-.f32 1/2 (*.f32 u1 -2))) 4) (*.f32 (*.f32 (PI.f32) (-.f32 1/2 (*.f32 u1 -2))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (PI.f32) (-.f32 1/2 (*.f32 u1 -2))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))) 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)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))) 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))) 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)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u0 (/.f32 (/.f32 -1 (+.f32 u0 -1)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))) 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u0 (*.f32 (/.f32 -1 (+.f32 u0 -1)) (/.f32 1 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))) 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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u0 (*.f32 (/.f32 1 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) 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simplify406.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1456×	`rational.json-simplify-51`
1224×	`rational.json-simplify-41`
1070×	`rational.json-simplify-49`
1042×	`rational.json-simplify-35`
986×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	314	20447
1	825	20321
2	1972	19487
3	5720	19343

Stop Event

1×	node limit

Counts

127 → 162

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))))
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(/.f32 (+.f32 (.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 u1 -2))) 4) (.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 u1 -2))) 4)) 8)
(pow.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 u1 -2))) 1)
(+.f32 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 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)
(+.f32 0 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 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 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 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)
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(.f32 u0 (.f32 (/.f32 1 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 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 (+.f32 u0 -1))))
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(.f32 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 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)))) 1)
(.f32 (.f32 (/.f32 u0 (-.f32 1 u0)) 2) (/.f32 1/2 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 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 (.f32 (/.f32 u0 (-.f32 1 u0)) 2) (.f32 (/.f32 1/2 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 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)))) 1))
(.f32 (.f32 (/.f32 u0 (-.f32 1 u0)) 2) (.f32 1/2 (/.f32 1 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 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 (+.f32 u0 u0) (/.f32 (/.f32 1/2 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 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 (+.f32 u0 u0) (.f32 (/.f32 (/.f32 1/2 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 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)))) 1))
(.f32 (+.f32 u0 u0) (.f32 1/2 (/.f32 (/.f32 -1 (+.f32 u0 -1)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 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 (+.f32 u0 u0) (.f32 (/.f32 1/2 (-.f32 1 u0)) (/.f32 1 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 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 (+.f32 u0 u0) (.f32 (/.f32 1/2 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 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 (+.f32 u0 -1))))
(.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 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 (+.f32 u0 -1)))
(.f32 (neg.f32 u0) (/.f32 (/.f32 1 (+.f32 u0 -1)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 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 (neg.f32 u0) (.f32 (/.f32 (/.f32 1 (+.f32 u0 -1)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 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)))) 1))
(.f32 (neg.f32 u0) (.f32 (/.f32 1 (+.f32 u0 -1)) (/.f32 1 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 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 (neg.f32 u0) (.f32 (/.f32 -1 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 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 (+.f32 u0 -1))))
(.f32 -1 (/.f32 (/.f32 u0 (+.f32 u0 -1)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 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 (.f32 (/.f32 (/.f32 u0 (+.f32 u0 -1)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 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)))) 1))
(.f32 -1 (.f32 (/.f32 u0 (+.f32 u0 -1)) (/.f32 1 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 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 (.f32 (/.f32 u0 (neg.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 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 (+.f32 u0 -1))))
(.f32 (/.f32 (/.f32 -1 (+.f32 u0 -1)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 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)))) u0)
(.f32 (/.f32 1 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 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 u0 (-.f32 1 u0)))
(.f32 (/.f32 -1 (+.f32 u0 -1)) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 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 (/.f32 (/.f32 u0 (+.f32 u0 -1)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 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)))) -1)
(.f32 (/.f32 1/2 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 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 (/.f32 u0 (-.f32 1 u0)) 2))
(.f32 (/.f32 (/.f32 1/2 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 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 u0 u0))
(.f32 (/.f32 (/.f32 1 (+.f32 u0 -1)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 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)))) (neg.f32 u0))
(pow.f32 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 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)))) 1)
(neg.f32 (/.f32 (/.f32 u0 (+.f32 u0 -1)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 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
(/.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 (PI.f32) (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2)) -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 (PI.f32) (.f32 -2 (/.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 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 (-.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)))))) (+.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)))
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(/.f32 u0 (.f32 (-.f32 1 u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 -2 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)))))
(/.f32 u0 (.f32 (-.f32 1 u0) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 -2 u1)))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax)))) 2) (pow.f32 alphax 2)))))
(/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 -2 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))) alphax)))) 2) (pow.f32 alphax 2))))
(.f32 (/.f32 (/.f32 u0 (+.f32 u0 -1)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 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)))) -1)
(/.f32 u0 (.f32 (-.f32 1 u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 -2 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)))))
(/.f32 u0 (.f32 (-.f32 1 u0) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 -2 u1)))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax)))) 2) (pow.f32 alphax 2)))))
(/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 -2 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))) alphax)))) 2) (pow.f32 alphax 2))))
(.f32 (/.f32 1/2 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 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 (/.f32 u0 (-.f32 1 u0)) 2))
(/.f32 u0 (.f32 (-.f32 1 u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 -2 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)))))
(/.f32 u0 (.f32 (-.f32 1 u0) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 -2 u1)))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax)))) 2) (pow.f32 alphax 2)))))
(/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 -2 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))) alphax)))) 2) (pow.f32 alphax 2))))
(.f32 (/.f32 (/.f32 1/2 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 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 u0 u0))
(/.f32 u0 (.f32 (-.f32 1 u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 -2 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)))))
(/.f32 u0 (.f32 (-.f32 1 u0) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 -2 u1)))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax)))) 2) (pow.f32 alphax 2)))))
(/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 -2 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))) alphax)))) 2) (pow.f32 alphax 2))))
(.f32 (/.f32 (/.f32 1 (+.f32 u0 -1)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 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)))) (neg.f32 u0))
(/.f32 u0 (.f32 (-.f32 1 u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 -2 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)))))
(/.f32 u0 (.f32 (-.f32 1 u0) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 -2 u1)))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax)))) 2) (pow.f32 alphax 2)))))
(/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 -2 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))) alphax)))) 2) (pow.f32 alphax 2))))
(pow.f32 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 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)))) 1)
(/.f32 u0 (.f32 (-.f32 1 u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 -2 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)))))
(/.f32 u0 (.f32 (-.f32 1 u0) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 -2 u1)))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax)))) 2) (pow.f32 alphax 2)))))
(/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 -2 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))) alphax)))) 2) (pow.f32 alphax 2))))
(neg.f32 (/.f32 (/.f32 u0 (+.f32 u0 -1)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) 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 u0 (.f32 (-.f32 1 u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 -2 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)))))
(/.f32 u0 (.f32 (-.f32 1 u0) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 -2 u1)))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 u1))) alphax)))) 2) (pow.f32 alphax 2)))))
(/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 -2 u1)))) (/.f32 alphay alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 u1))) alphax)))) 2) (pow.f32 alphax 2))))

localize730.0ms (1.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	10.8b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))
	12.1b	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))))))
	12.4b	(tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))
	31.7b	(tan.f32 (*.f32 1/2 (PI.f32)))

Compiler

Compiled 669 to 387 computations (42.2% saved)

eval1.6s (3.8%)

Compiler: Compiled 70111 to 49708 computations (29.1% saved)

prune506.0ms (1.2%)

Pruning

20 alts after pruning (12 fresh and 8 done)

	Pruned	Kept	Total
New	1108	11	1119
Fresh	0	1	1
Picked	0	1	1
Done	1	7	8
Total	1109	20	1129

Error

0.2b

Counts

1129 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	3.5b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 (+.f32 (-.f32 (.f32 u0 (pow.f32 alphax 2)) -1) -1) (-.f32 1 u0)) (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax)))) 2)))))
✓	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 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax)))) 2)) (-.f32 1 u0)))))
	16.8b	(/.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 2 u1))) 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 1/2 (PI.f32))) alphax)))) 2)) (-.f32 1 u0)))))
	3.5b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 (.f32 u0 (pow.f32 alphax 2)) (-.f32 1 u0)) (pow.f32 (cos.f32 (atan.f32 (.f32 2 (/.f32 (.f32 alphay (.f32 u1 (PI.f32))) alphax)))) 2)))))
✓	2.1b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax)))) 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 -2)))) alphax)))) 2) (pow.f32 alphay 2)))))))
	2.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) 2) (pow.f32 alphay 2)))))))
	3.5b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 (pow.f32 alphax 2) (+.f32 (pow.f32 u0 2) u0)) (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax)))) 2)))))
	1.7b	(/.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)))))
	3.5b	(/.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)))))
	11.6b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (neg.f32 (pow.f32 alphax 2)) (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax)))) 2)))))
✓	2.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2)))))))
	3.4b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2)))))))
	2.3b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (*.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2)))))))
✓	0.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (.f32 (/.f32 1 (+.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 u0 (-.f32 1 u0))))))
✓	0.4b	(/.f32 1 (sqrt.f32 (+.f32 1 (.f32 (/.f32 1 (+.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 u0 (-.f32 1 u0))))))
✓	0.9b	(/.f32 1 (sqrt.f32 (+.f32 1 (.f32 (/.f32 1 (+.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 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 u0 (-.f32 1 u0))))))
✓	1.1b	(/.f32 1 (sqrt.f32 (+.f32 1 (.f32 (/.f32 1 (+.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 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 u0 (-.f32 1 u0))))))
✓	1.0b	(/.f32 1 (sqrt.f32 (+.f32 1 (.f32 (/.f32 1 (+.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 (PI.f32) u1) (.f32 (/.f32 alphay alphax) 2)))) (.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 u0 (-.f32 1 u0))))))
	2.1b	(/.f32 1 (sqrt.f32 (+.f32 1 (.f32 (/.f32 1 (+.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (.f32 (PI.f32) u1) (.f32 (/.f32 alphay alphax) 2)))) (.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 u0 (-.f32 1 u0))))))

Compiler

Compiled 1017 to 777 computations (23.6% saved)

regimes179.0ms (0.4%)

Counts

26 → 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 2 (/.f32 (.f32 alphay (.f32 u1 (PI.f32))) alphax)))) 2)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (neg.f32 (pow.f32 alphax 2)) (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) 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 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 u1 (PI.f32)))) 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 2 u1))) 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 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax)))) 2)) (-.f32 1 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 (+.f32 (-.f32 (.f32 u0 (pow.f32 alphax 2)) -1) -1) (-.f32 1 u0)) (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax)))) 2)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 (pow.f32 alphax 2) (+.f32 (pow.f32 u0 2) u0)) (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax)))) 2)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (*.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2)))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2)))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2)))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 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 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax)))) 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 -2)))) alphax)))) 2) (pow.f32 alphay 2)))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (.f32 (/.f32 1 (+.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 (PI.f32) u1) (.f32 (/.f32 alphay alphax) 2)))) (.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 u0 (-.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 (PI.f32) (.f32 2 u1)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (.f32 (PI.f32) u1) (.f32 (/.f32 alphay alphax) 2)))) (.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 u0 (-.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 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (.f32 (PI.f32) u1) (.f32 (/.f32 alphay alphax) 2)))) (.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 u0 (-.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 1/2 (PI.f32)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.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 u0 (-.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 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.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 u0 (-.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 (PI.f32) (.f32 2 u1)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.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 u0 (-.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 (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 u0 (-.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 (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 u0 (-.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 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.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 u0 (-.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 (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 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)) 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 1 (+.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 u0 (-.f32 1 u0))))))

Calls

13 calls:

15.0ms	(+.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)))
14.0ms	(/.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))))
13.0ms	(/.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))
13.0ms	(.f32 (.f32 2 (PI.f32)) u1)
13.0ms	alphax

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 1935 to 1332 computations (31.2% saved)

regimes80.0ms (0.2%)

Counts

24 → 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 2 (/.f32 (.f32 alphay (.f32 u1 (PI.f32))) alphax)))) 2)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (neg.f32 (pow.f32 alphax 2)) (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) 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 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 u1 (PI.f32)))) 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 2 u1))) 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 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax)))) 2)) (-.f32 1 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 (+.f32 (-.f32 (.f32 u0 (pow.f32 alphax 2)) -1) -1) (-.f32 1 u0)) (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax)))) 2)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 (pow.f32 alphax 2) (+.f32 (pow.f32 u0 2) u0)) (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax)))) 2)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (*.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2)))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2)))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2)))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 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 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax)))) 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 -2)))) alphax)))) 2) (pow.f32 alphay 2)))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (.f32 (/.f32 1 (+.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 (PI.f32) u1) (.f32 (/.f32 alphay alphax) 2)))) (.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 u0 (-.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 (PI.f32) (.f32 2 u1)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (.f32 (PI.f32) u1) (.f32 (/.f32 alphay alphax) 2)))) (.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 u0 (-.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 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (.f32 (PI.f32) u1) (.f32 (/.f32 alphay alphax) 2)))) (.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 u0 (-.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 1/2 (PI.f32)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.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 u0 (-.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 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.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 u0 (-.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 (PI.f32) (.f32 2 u1)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.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 u0 (-.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 (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 u0 (-.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 (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 u0 (-.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 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.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 u0 (-.f32 1 u0))))))

Outputs

(/.f32 1 (sqrt.f32 (+.f32 1 (*.f32 (/.f32 1 (+.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 u0 (-.f32 1 u0))))))

Calls

4 calls:

12.0ms	alphay
12.0ms	u1
12.0ms	alphax
10.0ms	u0

Results

Error	Segments	Branch
0.4b	1	`u0`
0.4b	1	`u1`
0.4b	1	`alphax`
0.4b	1	`alphay`

Compiler

Compiled 1213 to 839 computations (30.8% saved)

regimes71.0ms (0.2%)

Counts

22 → 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 2 (/.f32 (.f32 alphay (.f32 u1 (PI.f32))) alphax)))) 2)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (neg.f32 (pow.f32 alphax 2)) (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) 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 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 u1 (PI.f32)))) 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 2 u1))) 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 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax)))) 2)) (-.f32 1 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 (+.f32 (-.f32 (.f32 u0 (pow.f32 alphax 2)) -1) -1) (-.f32 1 u0)) (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax)))) 2)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 (pow.f32 alphax 2) (+.f32 (pow.f32 u0 2) u0)) (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax)))) 2)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (*.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2)))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2)))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax)))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2)))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax)))) 2) (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 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 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax)))) 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 -2)))) alphax)))) 2) (pow.f32 alphay 2)))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (.f32 (/.f32 1 (+.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 (PI.f32) u1) (.f32 (/.f32 alphay alphax) 2)))) (.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 u0 (-.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 (PI.f32) (.f32 2 u1)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (.f32 (PI.f32) u1) (.f32 (/.f32 alphay alphax) 2)))) (.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 u0 (-.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 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (.f32 (PI.f32) u1) (.f32 (/.f32 alphay alphax) 2)))) (.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 u0 (-.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 1/2 (PI.f32)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.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 u0 (-.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 (PI.f32) (+.f32 1/2 (.f32 2 u1))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.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 u0 (-.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 (PI.f32) (.f32 2 u1)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.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 u0 (-.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 (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 u0 (-.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 1/2 (PI.f32))) alphax)))) 2)) (-.f32 1 u0)))))

Calls

4 calls:

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

Results

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

Compiler

Compiled 1059 to 740 computations (30.1% saved)

regimes21.0ms (0%)

Counts

4 → 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 2 (/.f32 (.f32 alphay (.f32 u1 (PI.f32))) alphax)))) 2)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (neg.f32 (pow.f32 alphax 2)) (pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) 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 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:

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

Results

Error	Segments	Branch
1.7b	1	`u0`
1.7b	1	`u1`
1.7b	1	`alphax`
1.7b	1	`alphay`

Compiler

Compiled 128 to 100 computations (21.9% saved)

regimes17.0ms (0%)

Accuracy

Total -8.1b remaining (-230%)

Threshold costs -8.1b (-230%)

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 2 (/.f32 (*.f32 alphay (*.f32 u1 (PI.f32))) alphax)))) 2)))))

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

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

Calls

4 calls:

4.0ms	u1
3.0ms	alphax
3.0ms	alphay
3.0ms	u0

Results

Error	Segments	Branch
3.5b	1	`u0`
3.5b	1	`u1`
3.5b	1	`alphax`
3.5b	1	`alphay`

Compiler

Compiled 101 to 79 computations (21.8% saved)

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	763

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 258 to 195 computations (24.4% saved)

soundness163.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1060×	`rational.json-simplify-38`
924×	`rational.json-simplify-59`
922×	`rational.json-simplify-1`
910×	`rational.json-simplify-2`
830×	`rational.json-simplify-55`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	291
1	86	291
2	198	259
3	542	259
4	2610	259
5	6868	259
6	7597	259

Stop Event

1×	node limit

Compiler

Compiled 92 to 64 computations (30.4% saved)

end274.0ms (0.6%)

Compiler: Compiled 242 to 172 computations (28.9% saved)

Details

analyze1.9s (4.4%)

sample15.3s (35.1%)

preprocess94.0ms (0.2%)

simplify123.0ms (0.3%)

eval6.0ms (0%)

prune2.0ms (0%)

localize925.0ms (2.1%)

series15.0ms (0%)

rewrite77.0ms (0.2%)

simplify142.0ms (0.3%)

eval2.1s (4.8%)

prune609.0ms (1.4%)

localize688.0ms (1.6%)

series3.0ms (0%)

rewrite89.0ms (0.2%)

simplify342.0ms (0.8%)

localize454.0ms (1%)

series14.0ms (0%)

rewrite95.0ms (0.2%)

simplify121.0ms (0.3%)

localize497.0ms (1.1%)

series5.0ms (0%)

rewrite91.0ms (0.2%)

simplify95.0ms (0.2%)

eval1.5s (3.5%)

prune503.0ms (1.2%)

localize565.0ms (1.3%)

localize410.0ms (0.9%)

series35.0ms (0.1%)

rewrite104.0ms (0.2%)

simplify314.0ms (0.7%)

localize404.0ms (0.9%)

series5.0ms (0%)

rewrite70.0ms (0.2%)

simplify92.0ms (0.2%)

localize553.0ms (1.3%)

eval4.3s (9.8%)

prune2.2s (5%)

localize344.0ms (0.8%)

series14.0ms (0%)

rewrite118.0ms (0.3%)

simplify320.0ms (0.7%)

localize176.0ms (0.4%)

series5.0ms (0%)

rewrite99.0ms (0.2%)

simplify129.0ms (0.3%)

localize461.0ms (1.1%)

series69.0ms (0.2%)

rewrite72.0ms (0.2%)

simplify685.0ms (1.6%)

localize864.0ms (2%)

series1.2s (2.7%)

rewrite100.0ms (0.2%)

simplify406.0ms (0.9%)

localize730.0ms (1.7%)

eval1.6s (3.8%)

prune506.0ms (1.2%)

regimes179.0ms (0.4%)

regimes80.0ms (0.2%)

regimes71.0ms (0.2%)

regimes21.0ms (0%)

regimes17.0ms (0%)

simplify10.0ms (0%)

soundness163.0ms (0.4%)

end274.0ms (0.6%)

Profiling