Details

analyze1.5s (7%)

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)

sample11.6s (53.6%)

Results

11.5s

8256×

body

256

valid

Bogosity

preprocess92.0ms (0.4%)

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)

simplify119.0ms (0.6%)

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)

prune3.0ms (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)

localize999.0ms (4.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.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)))
✓	0.4b	(.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1)))
✓	12.6b	(tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))
✓	13.5b	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))))))

Compiler

Compiled 653 to 408 computations (37.5% saved)

series18.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite80.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1416×	`exponential.json-3`
1416×	`rational.json-1`
1416×	`rational.json-2`
1416×	`rational.json-4`
1416×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	198
1	146	198
2	335	198
3	926	198
4	3586	198

Stop Event

1×	node limit

Counts

4 → 76

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 1 (neg.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 2 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (neg.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/4 (.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 2 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (PI.f32) (.f32 2 (+.f32 u1 (+.f32 1/2 u1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))) (/.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))) (.f32 alphax alphax))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))) (/.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))) (.f32 alphax alphax))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))) (/.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))) (.f32 alphax alphax))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (/.f32 (.f32 2 (.f32 alphax (/.f32 alphax (cos.f32 (atan.f32 (.f32 alphay 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(atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))) (/.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))) (.f32 alphax alphax))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (.f32 alphax (/.f32 alphax (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))))) (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax))))) (.f32 2 (.f32 alphax (/.f32 alphax (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))) alphax) (/.f32 alphax (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))) (.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))) (/.f32 2 (.f32 alphax alphax)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))) (/.f32 2 (.f32 alphax alphax))) (/.f32 2 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))) 4) (.f32 (.f32 alphax (/.f32 alphax (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))) (/.f32 2 alphax)) (.f32 alphax (/.f32 2 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 alphax) (/.f32 (/.f32 alphax (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax))))) (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax))))) (/.f32 (.f32 alphax (neg.f32 alphax)) (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax))))) (neg.f32 (.f32 alphax (/.f32 alphax (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))) (neg.f32 alphax)) (neg.f32 (/.f32 alphax (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))) (neg.f32 alphax)) (/.f32 alphax (neg.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))) (/.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))) (.f32 alphax alphax))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))) (fabs.f32 alphax)) (/.f32 (fabs.f32 alphax) (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))) (.f32 alphax alphax)) (/.f32 (.f32 alphax (.f32 alphax (.f32 alphax alphax))) (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 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simplify144.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1688×	`rational.json-simplify-51`
1080×	`rational.json-simplify-2`
890×	`rational.json-simplify-40`
880×	`rational.json-simplify-38`
572×	`rational.json-simplify-39`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	237	10830
1	672	10716
2	2772	10452
3	4263	10452

Stop Event

1×	node limit

Counts

172 → 127

Calls

Call 1

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

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

eval1.0s (4.7%)

Compiler: Compiled 29364 to 19989 computations (31.9% saved)

prune80.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	298	2	300
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	299	2	301

Error

0.2b

Counts

301 → 2

Alt Table

Click to see full alt table

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

▶

0.2b

(/.f32 1 (sqrt.f32 (+.f32 1 (*.f32 (/.f32 1 (+.f32 (*.f32 (+.f32 -1 (-.f32 1 (neg.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax))))))) (/.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 160 to 119 computations (25.6% saved)

localize771.0ms (3.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	12.6b	(tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))
✓	13.5b	(cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax))))
	13.5b	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))))))
✓	14.0b	(+.f32 -1 (-.f32 1 (neg.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))))))

Compiler

Compiled 812 to 524 computations (35.5% saved)

series8.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	alphax	@	-inf	(cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax))))
1.0ms	alphay	@	0	(+.f32 -1 (-.f32 1 (neg.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))))))
0.0ms	alphay	@	inf	(+.f32 -1 (-.f32 1 (neg.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))))))
0.0ms	alphay	@	-inf	(+.f32 -1 (-.f32 1 (neg.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))))))
0.0ms	alphax	@	inf	(+.f32 -1 (-.f32 1 (neg.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 1/2 u1)))) alphax)))))))

rewrite81.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1738×	`rational.json-1`
1738×	`rational.json-2`
1738×	`rational.json-4`
1738×	`rational.json-3`
1730×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	122
1	161	114
2	343	110
3	769	90
4	1886	90
5	5132	90

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Inputs

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

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

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (+.f32 1 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (+.f32 -1 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -2 (-.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) -2))))) (#(struct:change 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simplify329.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1616×	`rational.json-simplify-35`
1370×	`rational.json-simplify-2`
1080×	`rational.json-simplify-26`
862×	`rational.json-simplify-1`
702×	`trig.json-simplify-13`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	5850
1	202	5850
2	466	5850
3	1217	5850
4	3130	5850
5	4580	5850
6	5505	5850
7	6258	5850
8	6758	5850
9	7401	5850

Stop Event

1×	node limit

Counts

130 → 43

Calls

Call 1

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

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

localize554.0ms (2.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) alphay) alphax))) 2)
	12.6b	(tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))
✓	12.6b	(tan.f32 (.f32 (-.f32 1/2 (.f32 -2 u1)) (PI.f32)))
✓	13.5b	(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) alphay) alphax)))

Compiler

Compiled 619 to 419 computations (32.3% saved)

series12.0ms (0.1%)

Counts

3 → 20

Calls

21 calls:

Time	Variable		Point	Expression
5.0ms	alphax	@	-inf	(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) alphay) alphax))) 2)
1.0ms	u1	@	0	(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) alphay) alphax)))
1.0ms	alphax	@	inf	(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) alphay) alphax)))
1.0ms	alphay	@	inf	(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) alphay) alphax)))
1.0ms	alphay	@	-inf	(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) alphay) alphax)))

rewrite81.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1272×	`rational.json-1`
1272×	`rational.json-2`
1272×	`rational.json-4`
1272×	`rational.json-3`
1264×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	121
1	134	121
2	290	121
3	709	121
4	1962	121
5	4690	121

Stop Event

1×	node limit

Counts

3 → 57

Calls

Call 1

Inputs

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

(tan.f32 (*.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32)))

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f32 (tan.f32 (*.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (tan.f32 (*.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 (tan.f32 (*.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/2 (tan.f32 (*.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32)))) (*.f32 1/2 (tan.f32 (*.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (tan.f32 (*.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (tan.f32 (*.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (tan.f32 (neg.f32 (*.f32 (PI.f32) (-.f32 5/2 (*.f32 -2 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (tan.f32 (*.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (tan.f32 (*.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 1/2 (tan.f32 (*.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (tan.f32 (*.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (tan.f32 (neg.f32 (*.f32 (PI.f32) (-.f32 5/2 (*.f32 -2 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (tan.f32 (*.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (tan.f32 (neg.f32 (*.f32 (PI.f32) (-.f32 5/2 (*.f32 -2 u1))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 1/2 (tan.f32 (*.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (tan.f32 (*.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (tan.f32 (*.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (tan.f32 (neg.f32 (*.f32 (PI.f32) (-.f32 5/2 (*.f32 -2 u1))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (tan.f32 (*.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (tan.f32 (*.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (tan.f32 (*.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (tan.f32 (*.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (tan.f32 (*.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (tan.f32 (neg.f32 (*.f32 (PI.f32) (-.f32 5/2 (*.f32 -2 u1))))))))))

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simplify171.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1690×	`rational.json-simplify-35`
1138×	`rational.json-simplify-48`
960×	`rational.json-simplify-2`
782×	`rational.json-simplify-51`
754×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	167	4037
1	364	4031
2	815	3937
3	2153	3859
4	4179	3859
5	5472	3859
6	6614	3859

Stop Event

1×	node limit

Counts

77 → 88

Calls

Call 1

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

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

eval1.5s (6.8%)

Compiler: Compiled 32913 to 23503 computations (28.6% saved)

prune88.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	324	1	325
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	325	2	327

Error

0.2b

Counts

327 → 2

Alt Table

Click to see full alt table

Status

Error

Program

✓

0.2b

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

▶

0.2b

(/.f32 1 (sqrt.f32 (+.f32 1 (*.f32 (/.f32 1 (+.f32 (*.f32 (-.f32 (+.f32 1 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))))) 1) (/.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 159 to 118 computations (25.8% saved)

localize1.1s (5.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	12.6b	(tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u1))))
✓	13.5b	(cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))))
	13.5b	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (*.f32 2 u1)))))))
✓	14.0b	(-.f32 (+.f32 1 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))))) 1)

Compiler

Compiled 787 to 504 computations (36% saved)

series2.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	alphay	@	0	(-.f32 (+.f32 1 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))))) 1)
0.0ms	u1	@	inf	(-.f32 (+.f32 1 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))))) 1)
0.0ms	u1	@	-inf	(-.f32 (+.f32 1 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))))) 1)
0.0ms	alphay	@	inf	(-.f32 (+.f32 1 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))))) 1)
0.0ms	alphay	@	-inf	(-.f32 (+.f32 1 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))))) 1)

rewrite86.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1604×	`rational.json-1`
1604×	`rational.json-2`
1604×	`rational.json-4`
1604×	`rational.json-3`
1596×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	90
1	145	90
2	303	90
3	679	90
4	1694	90
5	4735	90

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

Inputs

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (+.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (+.f32 1 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 2 (+.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -2 (+.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 3) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -3 (+.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2) (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f32 (neg.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (+.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (+.f32 1 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 2 (+.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -2 (+.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 3) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -3 (+.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2) (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax)))) 1)))))

simplify470.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1900×	`rational.json-simplify-1`
1870×	`rational.json-simplify-35`
1736×	`rational.json-simplify-51`
1676×	`rational.json-simplify-2`
812×	`rational.json-simplify-45`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	5805
1	169	5805
2	465	5805
3	1138	5805
4	2095	5805
5	2997	5805
6	3412	5805
7	3643	5805
8	3900	5805
9	4311	5805
10	5069	5805
11	5972	5805
12	6771	5805
13	7108	5805
14	7315	5805
15	7486	5805
16	7956	5805

Stop Event

1×	node limit

Counts

129 → 37

Calls

Call 1

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

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

eval312.0ms (1.4%)

Compiler: Compiled 17729 to 12379 computations (30.2% saved)

prune43.0ms (0.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	165	2	167

Error

0.2b

Counts

167 → 2

Alt Table

Click to see full alt table

Status

Error

Program

✓

0.2b

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

✓

0.2b

(/.f32 1 (sqrt.f32 (+.f32 1 (*.f32 (/.f32 1 (+.f32 (*.f32 (-.f32 (+.f32 1 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))))) 1) (/.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 159 to 118 computations (25.8% saved)

regimes88.0ms (0.4%)

Counts

5 → 1

Calls

Call 1

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

10.0ms	(/.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))
8.0ms	(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))))
8.0ms	(/.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))))
6.0ms	(+.f32 (.f32 (.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))
6.0ms	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (.f32 alphay alphay)))

Results

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

Compiler

Compiled 982 to 677 computations (31.1% saved)

regimes18.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

Outputs

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

4 calls:

5.0ms	alphax
3.0ms	alphay
3.0ms	u1
3.0ms	u0

Results

Error	Segments	Branch
0.2b	1	`u0`
0.2b	1	`u1`
0.2b	1	`alphax`
0.2b	1	`alphay`

Compiler

Compiled 171 to 123 computations (28.1% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	486

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

(/.f32 1 (sqrt.f32 (+.f32 1 (*.f32 (/.f32 1 (+.f32 (*.f32 (-.f32 (+.f32 1 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))))) 1) (/.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 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 2)) (*.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 (-.f32 (+.f32 1 (cos.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 u1 (+.f32 u1 1/2)))) alphax))))) 1) (/.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 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 2)) (*.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 159 to 118 computations (25.8% saved)

soundness171.0ms (0.8%)

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)

end75.0ms (0.3%)

Compiler: Compiled 155 to 111 computations (28.4% saved)

Details

analyze1.5s (7%)

sample11.6s (53.6%)

preprocess92.0ms (0.4%)

simplify119.0ms (0.6%)

eval6.0ms (0%)

prune3.0ms (0%)

localize999.0ms (4.6%)

series18.0ms (0.1%)

rewrite80.0ms (0.4%)

simplify144.0ms (0.7%)

eval1.0s (4.7%)

prune80.0ms (0.4%)

localize771.0ms (3.6%)

series8.0ms (0%)

rewrite81.0ms (0.4%)

simplify329.0ms (1.5%)

localize554.0ms (2.6%)

series12.0ms (0.1%)

rewrite81.0ms (0.4%)

simplify171.0ms (0.8%)

eval1.5s (6.8%)

prune88.0ms (0.4%)

localize1.1s (5.2%)

series2.0ms (0%)

rewrite86.0ms (0.4%)

simplify470.0ms (2.2%)

eval312.0ms (1.4%)

prune43.0ms (0.2%)

regimes88.0ms (0.4%)

regimes18.0ms (0.1%)

simplify5.0ms (0%)

soundness171.0ms (0.8%)

end75.0ms (0.3%)

Profiling