Details

analyze4.1s (4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
25%	0%	0%	100%	0%	0%	0%	3
25%	0%	0%	100%	0%	0%	0%	4
25%	0%	0%	100%	0%	0%	0%	5
37.5%	0%	0%	100%	0%	0%	0%	6
56.3%	0%	0%	100%	0%	0%	0%	7
56.3%	0%	0%	100%	0%	0%	0%	8
56.3%	0%	0%	100%	0%	0%	0%	9
65.6%	0%	0%	100%	0%	0%	0%	10
76.6%	0%	0%	100%	0%	0%	0%	11
76.6%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 123 to 87 computations (29.3% saved)

sample27.9s (27.3%)

Results

27.9s

8256×

body

256

valid

Bogosity

preprocess365.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

1498×	`rational_best-simplify-64`
1150×	`rational_best-simplify-108`
924×	`rational_best-simplify-49`
868×	`rational_best-simplify-53`
586×	`rational_best-simplify-65`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	1477
1	467	1477
2	1617	1435
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 (.f32 (/.f32 1 (+.f32 (/.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 (PI.f32) 1/2)))))))) 2) (.f32 alphax alphax)) (/.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 (PI.f32) 1/2)))))))) 2) (*.f32 alphay alphay)))) u0) (-.f32 1 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 1 (/.f32 u0 (+.f32 (/.f32 (+.f32 1/2 (/.f32 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 2 (.f32 (PI.f32) u1)) (.f32 (PI.f32) 1/2))))))) 2)) (.f32 alphax alphax)) (/.f32 (-.f32 1/2 (/.f32 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 2 (.f32 (PI.f32) u1)) (.f32 (PI.f32) 1/2))))))) 2)) (*.f32 alphay alphay))))) (-.f32 1 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 1 (/.f32 u0 (/.f32 (+.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (+.f32 (.f32 2 (.f32 (PI.f32) u1)) (.f32 (PI.f32) 1/2))) alphax)))))) (.f32 alphax alphax)) (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (+.f32 (.f32 2 (.f32 (PI.f32) u1)) (.f32 (PI.f32) 1/2))) alphax)))))) (*.f32 alphay alphay))) 2))) (-.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)))))
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(/.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)))))
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(/.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 alphay (/.f32 1 (+.f32 (/.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 (PI.f32) 1/2))) (/.f32 u0 alphax)))))) 2) (.f32 alphax alphax)) (/.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 (PI.f32) 1/2))) (/.f32 u0 alphax)))))) 2) (*.f32 u0 u0))))) (-.f32 1 alphay)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 1 (/.f32 alphay (+.f32 (/.f32 (+.f32 1/2 (/.f32 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (+.f32 (.f32 2 (.f32 (PI.f32) u1)) (.f32 (PI.f32) 1/2))) (/.f32 u0 alphax))))) 2)) (.f32 alphax alphax)) (/.f32 (-.f32 1/2 (/.f32 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (+.f32 (.f32 2 (.f32 (PI.f32) u1)) (.f32 (PI.f32) 1/2))) (/.f32 u0 alphax))))) 2)) (*.f32 u0 u0))))) (-.f32 1 alphay)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 1 (/.f32 alphay (/.f32 (+.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (+.f32 (.f32 2 (.f32 (PI.f32) u1)) (.f32 (PI.f32) 1/2))) (/.f32 u0 alphax)))))) (.f32 alphax alphax)) (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (+.f32 (.f32 2 (.f32 (PI.f32) u1)) (.f32 (PI.f32) 1/2))) (/.f32 u0 alphax)))))) (*.f32 u0 u0))) 2))) (-.f32 1 alphay)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 (/.f32 1 (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) alphax) (.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) alphax) (.f32 1/2 (PI.f32)))))))) (.f32 u1 u1)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) alphax) (.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) alphax) (.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 u0 (/.f32 1 (+.f32 (/.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (+.f32 (.f32 (PI.f32) 1/2) (.f32 alphax (.f32 2 (PI.f32)))))))))) 2) (.f32 u1 u1)) (/.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (+.f32 (.f32 (PI.f32) 1/2) (.f32 alphax (.f32 2 (PI.f32)))))))))) 2) (*.f32 alphay alphay))))) (-.f32 1 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 1 (/.f32 u0 (+.f32 (/.f32 (+.f32 1/2 (/.f32 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (+.f32 (.f32 (PI.f32) 1/2) (.f32 alphax (.f32 2 (PI.f32))))))))) 2)) (.f32 u1 u1)) (/.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (+.f32 (.f32 (PI.f32) 1/2) (.f32 alphax (.f32 2 (PI.f32)))))))))) (*.f32 2 alphay)) alphay)))) (-.f32 1 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 1 (/.f32 u0 (/.f32 (+.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (+.f32 (.f32 (PI.f32) 1/2) (.f32 2 (.f32 alphax (PI.f32)))))))))) (.f32 u1 u1)) (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (+.f32 (.f32 (PI.f32) 1/2) (.f32 2 (.f32 alphax (PI.f32)))))))))) (*.f32 alphay alphay))) 2))) (-.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 u0 (/.f32 1 (+.f32 (/.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 u1 alphax) (tan.f32 (+.f32 (.f32 (PI.f32) 1/2) (.f32 alphay (.f32 2 (PI.f32)))))))))) 2) (.f32 alphax alphax)) (/.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 u1 alphax) (tan.f32 (+.f32 (.f32 (PI.f32) 1/2) (.f32 alphay (.f32 2 (PI.f32)))))))))) 2) (*.f32 u1 u1))))) (-.f32 1 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 1 (/.f32 u0 (+.f32 (/.f32 (+.f32 1/2 (/.f32 (cos.f32 (.f32 2 (atan.f32 (.f32 u1 (/.f32 (tan.f32 (+.f32 (.f32 (PI.f32) 1/2) (.f32 alphay (.f32 2 (PI.f32))))) alphax))))) 2)) (.f32 alphax alphax)) (/.f32 (-.f32 1/2 (/.f32 (cos.f32 (.f32 2 (atan.f32 (.f32 u1 (/.f32 (tan.f32 (+.f32 (.f32 (PI.f32) 1/2) (.f32 alphay (.f32 2 (PI.f32))))) alphax))))) 2)) (*.f32 u1 u1))))) (-.f32 1 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 1 (/.f32 u0 (/.f32 (+.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 u1 (/.f32 (tan.f32 (+.f32 (.f32 (PI.f32) 1/2) (.f32 alphay (.f32 2 (PI.f32))))) alphax)))))) (.f32 alphax alphax)) (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 u1 (/.f32 (tan.f32 (+.f32 (.f32 (PI.f32) 1/2) (.f32 alphay (.f32 2 (PI.f32))))) alphax)))))) (*.f32 u1 u1))) 2))) (-.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)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 u0 (/.f32 1 (+.f32 (/.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 (PI.f32) 1/2))) (/.f32 alphax alphay)))))) 2) (.f32 alphay alphay)) (/.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 (PI.f32) 1/2))) (/.f32 alphax alphay)))))) 2) (*.f32 alphax alphax))))) (-.f32 1 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 1 (/.f32 u0 (+.f32 (/.f32 (+.f32 1/2 (/.f32 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (+.f32 (.f32 2 (.f32 (PI.f32) u1)) (.f32 (PI.f32) 1/2))) (/.f32 alphax alphay))))) 2)) (.f32 alphay alphay)) (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (+.f32 (.f32 2 (.f32 (PI.f32) u1)) (.f32 (PI.f32) 1/2))) (/.f32 alphax alphay)))))) (.f32 2 (.f32 alphax alphax)))))) (-.f32 1 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 1 (/.f32 u0 (/.f32 (+.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (+.f32 (.f32 2 (.f32 (PI.f32) u1)) (.f32 (PI.f32) 1/2))) (/.f32 alphax alphay)))))) (.f32 alphay alphay)) (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (+.f32 (.f32 2 (.f32 (PI.f32) u1)) (.f32 (PI.f32) 1/2))) (/.f32 alphax alphay)))))) (*.f32 alphax alphax))) 2))) (-.f32 1 u0)))))

Compiler

Compiled 96 to 68 computations (29.2% saved)

simplify400.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1552×	`rational_best-simplify-51`
956×	`rational_best-simplify-30`
902×	`rational_best-simplify-108`
692×	`rational_best-simplify-65`
568×	`rational_best-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	211
1	92	211
2	281	205
3	1305	183
4	5671	183

Stop Event

1×	node limit

Counts

1 → 6

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

eval26.0ms (0%)

Compiler: Compiled 404 to 283 computations (30% saved)

prune7.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	4	2	6
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	4	3	7

Error

0.2b

Counts

7 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (/.f32 (+.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))))) (.f32 alphay alphay)) (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))))) (.f32 alphax alphax))) 2)) (-.f32 1 u0)))))
▶	0.2b	(/.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)))))

Status

Error

Program

▶

0.3b

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

▶

0.2b

(/.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)))))

Compiler

Compiled 154 to 112 computations (27.3% saved)

localize2.2s (2.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))
✓	0.5b	(.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))))))))
✓	12.9b	(tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))
✓	13.3b	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))

Compiler

Compiled 828 to 510 computations (38.4% saved)

series97.0ms (0.1%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
31.0ms	u1	@	0	(tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))
18.0ms	u1	@	0	(.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))
13.0ms	u1	@	inf	(.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))))))))
7.0ms	alphay	@	0	(.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))
3.0ms	alphax	@	0	(.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))

rewrite836.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1926×	`rational_best-4`
1926×	`rational_best-2`
1926×	`rational_best-3`
1926×	`rational_best-1`
1926×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	202
1	143	202
2	357	202
3	1177	170
4	4649	170

Stop Event

1×	node limit

Counts

4 → 118

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) alphax)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) alphax)))) (neg.f32 (.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) alphax)))) (sin.f32 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) alphax)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) alphax)))) 2) (/.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 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 1/2 (+.f32 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simplify691.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1138×	`rational_best-simplify-55`
924×	`rational_best-simplify-47`
882×	`rational_best-simplify-64`
772×	`rational_best-simplify-1`
762×	`rational_best-simplify-63`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	344	15658
1	898	15600
2	2452	14374

Stop Event

1×	node limit

Counts

238 → 202

Calls

Call 1

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

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

localize1.2s (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))
✓	0.7b	(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))))))))
✓	12.9b	(tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))
✓	19.6b	(+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))))))))

Compiler

Compiled 546 to 362 computations (33.7% saved)

series63.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
17.0ms	u1	@	0	(+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))))))))
11.0ms	u1	@	inf	(tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))
10.0ms	u1	@	-inf	(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))))))))
7.0ms	alphay	@	-inf	(+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))))))))
3.0ms	u1	@	inf	(+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))))))))

rewrite265.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1420×	`rational_best-2`
1420×	`rational_best-3`
1420×	`rational_best-1`
1418×	`rational_best-4`
1418×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	160
1	142	160
2	269	160
3	824	160
4	3406	160

Stop Event

1×	node limit

Counts

4 → 75

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 (PI.f32) (+.f32 u1 1/4)))))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 (PI.f32) (+.f32 u1 1/4))))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 (PI.f32) (+.f32 u1 1/4)))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 (PI.f32) (+.f32 u1 1/4))))))))) 2) (/.f32 (neg.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 (PI.f32) (+.f32 u1 1/4)))))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 (PI.f32) (+.f32 u1 1/4))))))))) 2) (neg.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 (PI.f32) (+.f32 u1 1/4))))))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 (PI.f32) (+.f32 u1 1/4))))))))) 2) (+.f32 (/.f32 (neg.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 (PI.f32) (+.f32 u1 1/4)))))))))) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 (PI.f32) (+.f32 u1 1/4))))))))) 2) (+.f32 (neg.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 (PI.f32) (+.f32 u1 1/4))))))))) 2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 (PI.f32) (+.f32 u1 1/4)))))))) 2) (-.f32 -1 (/.f32 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simplify551.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1340×	`rational_best-simplify-63`
1060×	`rational_best-simplify-1`
830×	`rational_best-simplify-3`
804×	`rational_best-simplify-75`
784×	`rational_best-simplify-76`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	230	9575
1	517	9475
2	1187	9391
3	3793	9315

Stop Event

1×	node limit

Counts

171 → 118

Calls

Call 1

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

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

eval4.5s (4.4%)

Compiler: Compiled 64737 to 43942 computations (32.1% saved)

prune973.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	638	6	644
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	639	7	646

Error

0.2b

Counts

646 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (/.f32 (+.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))))) (.f32 alphay alphay)) (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))))) (.f32 alphax alphax))) 2)) (-.f32 1 u0)))))
▶	2.1b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (/.f32 (+.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))))) (.f32 alphay alphay)) (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))))))) (.f32 alphax alphax))) 2)) (-.f32 1 u0)))))
▶	0.8b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (/.f32 (+.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))))) (.f32 alphay alphay)) (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax))) 2)) (-.f32 1 u0)))))
▶	0.8b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (/.f32 (+.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 alphay alphay)) (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))))) (*.f32 alphax alphax))) 2)) (-.f32 1 u0)))))
▶	0.3b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (/.f32 (+.f32 (/.f32 (+.f32 (-.f32 1 (/.f32 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 (PI.f32) (+.f32 u1 1/4)))))))) 2)) (neg.f32 (/.f32 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 (PI.f32) (+.f32 u1 1/4)))))))) 2))) (.f32 alphay alphay)) (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))))) (.f32 alphax alphax))) 2)) (-.f32 1 u0)))))
	0.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 (/.f32 1 (+.f32 (/.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))))) 2) (.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	(/.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 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0)))))

Compiler

Compiled 920 to 688 computations (25.2% saved)

localize2.0s (1.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(.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))))))))
	12.9b	(tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))
✓	12.9b	(tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))
	13.3b	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))

Compiler

Compiled 872 to 511 computations (41.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	0	(tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))
0.0ms	u1	@	inf	(tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))
0.0ms	u1	@	-inf	(tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))

rewrite354.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

732×	`rational_best-simplify-47`
732×	`rational_best-simplify-83`
706×	`rational_best-simplify-62`
694×	`rational_best-simplify-1`
576×	`rational_best-simplify-48`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	72	25
2	137	25
3	338	25
4	1201	25
5	6777	25

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

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

Outputs

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

simplify229.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1306×	`rational_best-simplify-51`
964×	`rational_best-simplify-57`
932×	`rational_best-simplify-83`
908×	`rational_best-simplify-63`
650×	`rational_best-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	123	2151
1	287	2151
2	721	2145
3	2540	2075

Stop Event

1×	node limit

Counts

41 → 49

Calls

Call 1

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

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

localize1.8s (1.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	10.3b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))
	12.9b	(tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))
	19.6b	(+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))))))))
✓	31.7b	(tan.f32 (*.f32 1/2 (PI.f32)))

Compiler

Compiled 557 to 364 computations (34.6% saved)

series8.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite190.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

918×	`rational_best-simplify-64`
852×	`rational_best-4`
852×	`rational_best-2`
852×	`rational_best-3`
852×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	79	38
2	162	38
3	497	38
4	2142	38

Stop Event

1×	node limit

Counts

2 → 30

Calls

Call 1

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

Outputs

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

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

simplify266.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1136×	`rational_best-simplify-1`
1028×	`rational_best-simplify-47`
964×	`rational_best-simplify-52`
936×	`rational_best-simplify-48`
590×	`rational_best-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	1566
1	186	1566
2	564	1566
3	2544	1566

Stop Event

1×	node limit

Counts

54 → 34

Calls

Call 1

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

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

localize2.2s (2.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.7b	(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))))))))
	10.3b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))
	12.9b	(tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))
	31.7b	(tan.f32 (*.f32 1/2 (PI.f32)))

Compiler

Compiled 557 to 364 computations (34.6% saved)

localize1.7s (1.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))))
	0.4b	(.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))
	0.7b	(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))))))))
	12.9b	(tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))

Compiler

Compiled 590 to 365 computations (38.1% saved)

series25.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	alphay	@	0	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))))
3.0ms	alphax	@	0	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))))
1.0ms	u1	@	inf	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))))
1.0ms	u1	@	-inf	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))))
1.0ms	alphax	@	inf	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))))

rewrite219.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1002×	`rational_best-4`
1002×	`rational_best-2`
1002×	`rational_best-3`
1002×	`rational_best-1`
1002×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	37
1	105	37
2	203	37
3	593	37
4	2501	37

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify467.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1380×	`rational_best-simplify-56`
1238×	`rational_best-simplify-50`
1012×	`rational_best-simplify-62`
870×	`rational_best-simplify-63`
856×	`rational_best-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	3657
1	291	3639
2	677	3627
3	1762	3557
4	6192	3557

Stop Event

1×	node limit

Counts

47 → 37

Calls

Call 1

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

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

localize2.0s (2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(+.f32 (-.f32 1 (/.f32 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 (PI.f32) (+.f32 u1 1/4)))))))) 2)) (neg.f32 (/.f32 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 (PI.f32) (+.f32 u1 1/4)))))))) 2)))
✓	12.9b	(tan.f32 (.f32 2 (.f32 (PI.f32) (+.f32 u1 1/4))))
	12.9b	(tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))
	19.6b	(+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))))))))

Compiler

Compiled 881 to 610 computations (30.8% saved)

series71.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
31.0ms	alphay	@	inf	(+.f32 (-.f32 1 (/.f32 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 (PI.f32) (+.f32 u1 1/4)))))))) 2)) (neg.f32 (/.f32 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 (PI.f32) (+.f32 u1 1/4)))))))) 2)))
21.0ms	u1	@	inf	(+.f32 (-.f32 1 (/.f32 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 (PI.f32) (+.f32 u1 1/4)))))))) 2)) (neg.f32 (/.f32 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 (PI.f32) (+.f32 u1 1/4)))))))) 2)))
3.0ms	u1	@	-inf	(+.f32 (-.f32 1 (/.f32 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 (PI.f32) (+.f32 u1 1/4)))))))) 2)) (neg.f32 (/.f32 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 (PI.f32) (+.f32 u1 1/4)))))))) 2)))
3.0ms	alphay	@	-inf	(+.f32 (-.f32 1 (/.f32 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 (PI.f32) (+.f32 u1 1/4)))))))) 2)) (neg.f32 (/.f32 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 (PI.f32) (+.f32 u1 1/4)))))))) 2)))
2.0ms	alphay	@	0	(+.f32 (-.f32 1 (/.f32 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 (PI.f32) (+.f32 u1 1/4)))))))) 2)) (neg.f32 (/.f32 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 (PI.f32) (+.f32 u1 1/4)))))))) 2)))

rewrite341.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2058×	`rational_best-2`
2058×	`rational_best-3`
2058×	`rational_best-1`
450×	`rational_best-4`
448×	`exponential-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	150
1	166	82
2	360	82
3	1185	82
4	6013	82

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

Inputs

(tan.f32 (*.f32 2 (*.f32 (PI.f32) (+.f32 u1 1/4))))

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

Outputs

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simplify640.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1050×	`rational_best-simplify-63`
904×	`rational_best-simplify-1`
634×	`rational_best-simplify-57`
616×	`rational_best-simplify-47`
604×	`rational_best-simplify-48`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	243	7589
1	648	7565
2	1627	7559
3	5994	7489

Stop Event

1×	node limit

Counts

121 → 111

Calls

Call 1

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

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

eval6.9s (6.7%)

Compiler: Compiled 79956 to 55415 computations (30.7% saved)

prune1.5s (1.4%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	863	4	867
Fresh	1	0	1
Picked	1	0	1
Done	1	4	5
Total	866	8	874

Error

0.2b

Counts

874 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (/.f32 (+.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))))) (.f32 alphay alphay)) (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))))) (.f32 alphax alphax))) 2)) (-.f32 1 u0)))))
✓	2.1b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (/.f32 (+.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))))) (.f32 alphay alphay)) (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))))))) (.f32 alphax alphax))) 2)) (-.f32 1 u0)))))
✓	0.8b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (/.f32 (+.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))))) (.f32 alphay alphay)) (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax))) 2)) (-.f32 1 u0)))))
▶	3.6b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (/.f32 (+.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))))))) (.f32 alphay alphay)) (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))))))) (.f32 alphax alphax))) 2)) (-.f32 1 u0)))))
✓	0.8b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (/.f32 (+.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 alphay alphay)) (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))))) (*.f32 alphax alphax))) 2)) (-.f32 1 u0)))))
▶	2.4b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (/.f32 (+.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 alphay alphay)) (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))))))) (*.f32 alphax alphax))) 2)) (-.f32 1 u0)))))
▶	2.1b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (/.f32 (+.f32 (/.f32 (+.f32 (-.f32 1 (/.f32 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 (PI.f32) (+.f32 u1 1/4)))))))) 2)) (neg.f32 (/.f32 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 (PI.f32) (+.f32 u1 1/4)))))))) 2))) (.f32 alphay alphay)) (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))))))) (.f32 alphax alphax))) 2)) (-.f32 1 u0)))))
▶	0.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 (/.f32 1 (+.f32 (/.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))))) 2) (.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 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0)))))

Compiler

Compiled 511 to 387 computations (24.3% saved)

localize2.1s (2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))
	12.9b	(tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))
	12.9b	(tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))
✓	19.6b	(+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax))))))

Compiler

Compiled 813 to 468 computations (42.4% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite288.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1468×	`rational_best-2`
1468×	`rational_best-3`
1468×	`rational_best-1`
1466×	`rational_best-4`
1466×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	78
1	139	78
2	273	78
3	813	78
4	3569	78

Stop Event

1×	node limit

Counts

2 → 33

Calls

Call 1

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

Outputs

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

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

simplify271.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

782×	`rational_best-simplify-47`
754×	`rational_best-simplify-65`
744×	`rational_best-simplify-48`
646×	`rational_best-simplify-52`
614×	`rational_best-simplify-67`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	118	3979
1	259	3979
2	574	3901
3	1590	3895

Stop Event

1×	node limit

Counts

81 → 56

Calls

Call 1

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

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

localize1.7s (1.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 (PI.f32) (+.f32 u1 1/4)))))
✓	0.4b	(*.f32 (PI.f32) (+.f32 u1 1/4))
	0.7b	(+.f32 (-.f32 1 (/.f32 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 (PI.f32) (+.f32 u1 1/4)))))))) 2)) (neg.f32 (/.f32 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 (PI.f32) (+.f32 u1 1/4)))))))) 2)))
	12.9b	(tan.f32 (.f32 2 (.f32 (PI.f32) (+.f32 u1 1/4))))

Compiler

Compiled 845 to 559 computations (33.8% saved)

series30.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
17.0ms	alphay	@	inf	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 (PI.f32) (+.f32 u1 1/4)))))
4.0ms	alphay	@	0	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 (PI.f32) (+.f32 u1 1/4)))))
3.0ms	alphax	@	0	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 (PI.f32) (+.f32 u1 1/4)))))
1.0ms	u1	@	-inf	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 (PI.f32) (+.f32 u1 1/4)))))
1.0ms	u1	@	inf	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 (PI.f32) (+.f32 u1 1/4)))))

rewrite187.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1000×	`rational_best-4`
1000×	`rational_best-2`
1000×	`rational_best-3`
1000×	`rational_best-1`
1000×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	52
1	107	52
2	214	52
3	619	52
4	2524	52

Stop Event

1×	node limit

Counts

2 → 23

Calls

Call 1

Inputs
(*.f32 (PI.f32) (+.f32 u1 1/4))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 (PI.f32) (+.f32 u1 1/4)))))

Outputs

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

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

simplify296.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1154×	`rational_best-simplify-48`
984×	`rational_best-simplify-47`
982×	`rational_best-simplify-1`
980×	`rational_best-simplify-52`
888×	`rational_best-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	141	4291
1	352	4079
2	892	4067
3	2568	3965

Stop Event

1×	node limit

Counts

71 → 63

Calls

Call 1

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

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

localize1.2s (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))))
✓	0.4b	(*.f32 u1 (PI.f32))
	10.3b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))
	31.7b	(tan.f32 (*.f32 1/2 (PI.f32)))

Compiler

Compiled 522 to 314 computations (39.8% saved)

series40.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
23.0ms	alphay	@	-inf	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))))
4.0ms	u1	@	0	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))))
3.0ms	alphay	@	0	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))))
2.0ms	alphax	@	0	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))))
2.0ms	u1	@	inf	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))))

rewrite301.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

940×	`rational_best-4`
940×	`rational_best-2`
940×	`rational_best-3`
940×	`rational_best-1`
940×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	94	40
2	193	40
3	571	40
4	2370	40

Stop Event

1×	node limit

Counts

2 → 23

Calls

Call 1

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

Outputs

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

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

simplify338.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1316×	`rational_best-simplify-63`
956×	`rational_best-simplify-48`
914×	`rational_best-simplify-1`
870×	`rational_best-simplify-49`
826×	`rational_best-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	134	3115
1	324	2909
2	817	2893
3	2389	2871

Stop Event

1×	node limit

Counts

71 → 54

Calls

Call 1

Inputs
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(+.f32 (/.f32 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 -4 (pow.f32 (PI.f32) 3))) (.f32 alphay (pow.f32 u1 3))) alphax) (.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax)))
(+.f32 (.f32 2 (/.f32 (.f32 alphay (.f32 u1 (PI.f32))) alphax)) (+.f32 (/.f32 (.f32 alphay (.f32 (-.f32 (.f32 4/15 (pow.f32 (PI.f32) 5)) (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 5)) (.f32 -2 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 -4 (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 2))))) (pow.f32 u1 5))) alphax) (/.f32 (.f32 alphay (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (*.f32 -4 (pow.f32 (PI.f32) 3))) (pow.f32 u1 3))) alphax)))
(+.f32 (/.f32 (.f32 alphay (.f32 (pow.f32 u1 5) (-.f32 (.f32 4/15 (pow.f32 (PI.f32) 5)) (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 5)) (.f32 -2 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 -4 (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 2))))))) alphax) (+.f32 (/.f32 (.f32 alphay (.f32 (-.f32 (.f32 -8/315 (pow.f32 (PI.f32) 7)) (+.f32 (.f32 -2 (.f32 (pow.f32 (PI.f32) 2) (-.f32 (.f32 4/15 (pow.f32 (PI.f32) 5)) (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 5)) (.f32 -2 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 -4 (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 2))))))) (+.f32 (.f32 2/3 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 -4 (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 4))) (.f32 -8/45 (pow.f32 (PI.f32) 7))))) (pow.f32 u1 7))) alphax) (+.f32 (.f32 2 (/.f32 (.f32 alphay (.f32 u1 (PI.f32))) alphax)) (/.f32 (.f32 alphay (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (*.f32 -4 (pow.f32 (PI.f32) 3))) (pow.f32 u1 3))) alphax))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(+.f32 (*.f32 u1 (PI.f32)) 0)
(+.f32 0 (*.f32 u1 (PI.f32)))
(+.f32 (/.f32 (.f32 u1 (PI.f32)) 2) (/.f32 (.f32 u1 (PI.f32)) 2))
(-.f32 (*.f32 u1 (PI.f32)) 0)
(-.f32 (/.f32 (.f32 u1 (PI.f32)) 2) (/.f32 (neg.f32 (.f32 u1 (PI.f32))) 2))
(-.f32 (/.f32 (.f32 u1 (PI.f32)) 2) (/.f32 (.f32 -2 (*.f32 u1 (PI.f32))) 4))
(/.f32 (*.f32 u1 (PI.f32)) 1)
(/.f32 (.f32 u1 (.f32 (PI.f32) 2)) 2)
(/.f32 (.f32 u1 (.f32 (PI.f32) 4)) 4)
(/.f32 (.f32 (.f32 u1 (PI.f32)) 8) 8)
(/.f32 (.f32 (.f32 u1 (*.f32 (PI.f32) 2)) 8) 16)
(pow.f32 (*.f32 u1 (PI.f32)) 1)
(+.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (*.f32 (PI.f32) 2)))) 0)
(+.f32 0 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (*.f32 (PI.f32) 2)))))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) (+.f32 alphax alphax))) (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) (+.f32 alphax alphax))))
(-.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (*.f32 (PI.f32) 2)))) 0)
(-.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) (+.f32 alphax alphax))) (/.f32 (neg.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))))) 2))
(/.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (*.f32 (PI.f32) 2)))) 1)
(/.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (*.f32 (PI.f32) 2))) (/.f32 alphax 2))) 2)
(/.f32 (.f32 (/.f32 alphay alphax) (.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) 4)) 4)
(/.f32 (.f32 (/.f32 alphay alphax) (.f32 2 (.f32 (tan.f32 (.f32 u1 (*.f32 (PI.f32) 2))) 4))) 8)
(/.f32 (.f32 (.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) 4) (*.f32 (/.f32 alphay alphax) 4)) 16)
(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (*.f32 (PI.f32) 2)))) 1)

Outputs
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 u1 (.f32 (PI.f32) 2)))) (.f32 (cos.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 u1 2)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u1 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 u1 (.f32 (PI.f32) 2)))) (.f32 (cos.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 u1 2)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u1 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 u1 (.f32 (PI.f32) 2)))) (.f32 (cos.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 u1 2)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u1 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 u1 (.f32 (PI.f32) 2)))) (.f32 (cos.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 u1 2)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u1 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 u1 (.f32 (PI.f32) 2)))) (.f32 (cos.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 u1 2)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u1 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 u1 (.f32 (PI.f32) 2)))) (.f32 (cos.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 u1 2)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u1 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 u1 (.f32 (PI.f32) 2)))) (.f32 (cos.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 u1 2)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u1 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 u1 (.f32 (PI.f32) 2)))) (.f32 (cos.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 u1 2)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u1 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 u1 (.f32 (PI.f32) 2)))) (.f32 (cos.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 u1 2)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u1 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 u1 (.f32 (PI.f32) 2)))) (.f32 (cos.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 u1 2)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u1 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 u1 (.f32 (PI.f32) 2)))) (.f32 (cos.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 u1 2)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u1 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 u1 (.f32 (PI.f32) 2)))) (.f32 (cos.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 u1 2)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u1 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 u1 (.f32 (PI.f32) 2)))) (.f32 (cos.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 u1 2)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u1 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 u1 (.f32 (PI.f32) 2)))) (.f32 (cos.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 u1 2)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u1 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 u1 (.f32 (PI.f32) 2)))) (.f32 (cos.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 u1 2)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u1 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 u1 (.f32 (PI.f32) 2)))) (.f32 (cos.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 u1 2)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u1 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 u1 (.f32 (PI.f32) 2)))) (.f32 (cos.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 u1 2)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u1 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 u1 (.f32 (PI.f32) 2)))) (.f32 (cos.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 u1 2)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u1 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 u1 (.f32 (PI.f32) 2)))) (.f32 (cos.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 u1 2)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u1 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 u1 (.f32 (PI.f32) 2)))) (.f32 (cos.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 u1 2)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u1 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 u1 (.f32 (PI.f32) 2)))) (.f32 (cos.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 u1 2)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u1 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 u1 (.f32 (PI.f32) 2)))) (.f32 (cos.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 u1 2)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u1 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 u1 (.f32 (PI.f32) 2)))) (.f32 (cos.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 u1 2)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u1 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 u1 (.f32 (PI.f32) 2)))) (.f32 (cos.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 u1 2)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u1 2))) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(.f32 (.f32 (PI.f32) (*.f32 u1 alphay)) (/.f32 2 alphax))
(.f32 2 (/.f32 (.f32 (PI.f32) (*.f32 u1 alphay)) alphax))
(.f32 (PI.f32) (.f32 (*.f32 u1 alphay) (/.f32 2 alphax)))
(.f32 (PI.f32) (.f32 2 (/.f32 (*.f32 u1 alphay) alphax)))
(+.f32 (/.f32 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 -4 (pow.f32 (PI.f32) 3))) (.f32 alphay (pow.f32 u1 3))) alphax) (.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax)))
(+.f32 (.f32 (.f32 (PI.f32) (.f32 u1 alphay)) (/.f32 2 alphax)) (/.f32 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 (pow.f32 (PI.f32) 3) -4)) (*.f32 alphay (pow.f32 u1 3))) alphax))
(+.f32 (.f32 2 (/.f32 (.f32 (PI.f32) (.f32 u1 alphay)) alphax)) (/.f32 (.f32 alphay (.f32 (.f32 (pow.f32 (PI.f32) 3) 8/3) (pow.f32 u1 3))) alphax))
(+.f32 (.f32 (PI.f32) (.f32 (.f32 u1 alphay) (/.f32 2 alphax))) (/.f32 (.f32 alphay (.f32 (.f32 (pow.f32 (PI.f32) 3) 8/3) (pow.f32 u1 3))) alphax))
(+.f32 (.f32 (PI.f32) (.f32 2 (/.f32 (.f32 u1 alphay) alphax))) (/.f32 (.f32 (pow.f32 u1 3) (.f32 alphay (.f32 (pow.f32 (PI.f32) 3) 8/3))) alphax))
(+.f32 (.f32 2 (/.f32 (.f32 alphay (.f32 u1 (PI.f32))) alphax)) (+.f32 (/.f32 (.f32 alphay (.f32 (-.f32 (.f32 4/15 (pow.f32 (PI.f32) 5)) (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 5)) (.f32 -2 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 -4 (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 2))))) (pow.f32 u1 5))) alphax) (/.f32 (.f32 alphay (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (*.f32 -4 (pow.f32 (PI.f32) 3))) (pow.f32 u1 3))) alphax)))
(+.f32 (.f32 (.f32 (PI.f32) (.f32 u1 alphay)) (/.f32 2 alphax)) (/.f32 (+.f32 (.f32 alphay (.f32 (-.f32 (.f32 4/15 (pow.f32 (PI.f32) 5)) (+.f32 (.f32 (pow.f32 (PI.f32) 5) 4/3) (.f32 -2 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 (pow.f32 (PI.f32) 3) -4)) (pow.f32 (PI.f32) 2))))) (pow.f32 u1 5))) (.f32 alphay (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (*.f32 (pow.f32 (PI.f32) 3) -4)) (pow.f32 u1 3)))) alphax))
(+.f32 (.f32 2 (/.f32 (.f32 (PI.f32) (.f32 u1 alphay)) alphax)) (/.f32 (.f32 alphay (+.f32 (.f32 (+.f32 (.f32 (pow.f32 (PI.f32) 5) -16/15) (neg.f32 (.f32 (.f32 (pow.f32 (PI.f32) 3) 8/3) (.f32 -2 (pow.f32 (PI.f32) 2))))) (pow.f32 u1 5)) (.f32 (*.f32 (pow.f32 (PI.f32) 3) 8/3) (pow.f32 u1 3)))) alphax))
(+.f32 (.f32 (PI.f32) (.f32 (.f32 u1 alphay) (/.f32 2 alphax))) (/.f32 (.f32 alphay (+.f32 (.f32 (+.f32 (.f32 (pow.f32 (PI.f32) 5) -16/15) (neg.f32 (.f32 (.f32 (pow.f32 (PI.f32) 3) 8/3) (.f32 -2 (pow.f32 (PI.f32) 2))))) (pow.f32 u1 5)) (.f32 (*.f32 (pow.f32 (PI.f32) 3) 8/3) (pow.f32 u1 3)))) alphax))
(+.f32 (.f32 (PI.f32) (.f32 2 (/.f32 (.f32 u1 alphay) alphax))) (/.f32 (.f32 alphay (+.f32 (.f32 (+.f32 (.f32 (pow.f32 (PI.f32) 5) -16/15) (/.f32 (.f32 (.f32 (pow.f32 (PI.f32) 3) 8/3) (pow.f32 (PI.f32) 2)) 1/2)) (pow.f32 u1 5)) (.f32 (.f32 (pow.f32 (PI.f32) 3) 8/3) (pow.f32 u1 3)))) alphax))
(+.f32 (/.f32 (.f32 alphay (.f32 (pow.f32 u1 5) (-.f32 (.f32 4/15 (pow.f32 (PI.f32) 5)) (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 5)) (.f32 -2 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 -4 (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 2))))))) alphax) (+.f32 (/.f32 (.f32 alphay (.f32 (-.f32 (.f32 -8/315 (pow.f32 (PI.f32) 7)) (+.f32 (.f32 -2 (.f32 (pow.f32 (PI.f32) 2) (-.f32 (.f32 4/15 (pow.f32 (PI.f32) 5)) (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 5)) (.f32 -2 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 -4 (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 2))))))) (+.f32 (.f32 2/3 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 -4 (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 4))) (.f32 -8/45 (pow.f32 (PI.f32) 7))))) (pow.f32 u1 7))) alphax) (+.f32 (.f32 2 (/.f32 (.f32 alphay (.f32 u1 (PI.f32))) alphax)) (/.f32 (.f32 alphay (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (*.f32 -4 (pow.f32 (PI.f32) 3))) (pow.f32 u1 3))) alphax))))
(+.f32 (/.f32 (.f32 alphay (.f32 (-.f32 (.f32 4/15 (pow.f32 (PI.f32) 5)) (+.f32 (.f32 (pow.f32 (PI.f32) 5) 4/3) (.f32 -2 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 (pow.f32 (PI.f32) 3) -4)) (pow.f32 (PI.f32) 2))))) (pow.f32 u1 5))) alphax) (+.f32 (/.f32 (.f32 alphay (.f32 (-.f32 (.f32 -8/315 (pow.f32 (PI.f32) 7)) (+.f32 (.f32 (-.f32 (.f32 4/15 (pow.f32 (PI.f32) 5)) (+.f32 (.f32 (pow.f32 (PI.f32) 5) 4/3) (.f32 -2 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 (pow.f32 (PI.f32) 3) -4)) (pow.f32 (PI.f32) 2))))) (.f32 (pow.f32 (PI.f32) 2) -2)) (+.f32 (.f32 2/3 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 (pow.f32 (PI.f32) 3) -4)) (pow.f32 (PI.f32) 4))) (.f32 (pow.f32 (PI.f32) 7) -8/45)))) (pow.f32 u1 7))) alphax) (+.f32 (.f32 (.f32 (PI.f32) (.f32 u1 alphay)) (/.f32 2 alphax)) (/.f32 (.f32 alphay (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (*.f32 (pow.f32 (PI.f32) 3) -4)) (pow.f32 u1 3))) alphax))))
(+.f32 (+.f32 (.f32 2 (/.f32 (.f32 (PI.f32) (.f32 u1 alphay)) alphax)) (/.f32 (.f32 alphay (.f32 (-.f32 (.f32 -8/315 (pow.f32 (PI.f32) 7)) (+.f32 (.f32 (+.f32 (.f32 (pow.f32 (PI.f32) 5) -16/15) (neg.f32 (.f32 (.f32 (pow.f32 (PI.f32) 3) 8/3) (.f32 -2 (pow.f32 (PI.f32) 2))))) (.f32 -2 (pow.f32 (PI.f32) 2))) (+.f32 (.f32 2/3 (.f32 (.f32 (pow.f32 (PI.f32) 3) 8/3) (pow.f32 (PI.f32) 4))) (.f32 (pow.f32 (PI.f32) 7) -8/45)))) (pow.f32 u1 7))) alphax)) (/.f32 (.f32 alphay (+.f32 (.f32 (+.f32 (.f32 (pow.f32 (PI.f32) 5) -16/15) (neg.f32 (.f32 (.f32 (pow.f32 (PI.f32) 3) 8/3) (.f32 -2 (pow.f32 (PI.f32) 2))))) (pow.f32 u1 5)) (.f32 (.f32 (pow.f32 (PI.f32) 3) 8/3) (pow.f32 u1 3)))) alphax))
(+.f32 (.f32 (PI.f32) (.f32 (.f32 u1 alphay) (/.f32 2 alphax))) (+.f32 (/.f32 (.f32 alphay (.f32 (.f32 (pow.f32 (PI.f32) 3) 8/3) (pow.f32 u1 3))) alphax) (/.f32 (.f32 alphay (+.f32 (.f32 (+.f32 (.f32 (pow.f32 (PI.f32) 7) 16/105) (neg.f32 (+.f32 (.f32 (pow.f32 (PI.f32) 2) (.f32 -2 (+.f32 (.f32 (pow.f32 (PI.f32) 5) -16/15) (neg.f32 (.f32 (.f32 (pow.f32 (PI.f32) 3) 8/3) (.f32 -2 (pow.f32 (PI.f32) 2))))))) (.f32 (.f32 (pow.f32 (PI.f32) 3) 8/3) (.f32 2/3 (pow.f32 (PI.f32) 4)))))) (pow.f32 u1 7)) (.f32 (+.f32 (.f32 (pow.f32 (PI.f32) 5) -16/15) (neg.f32 (.f32 (.f32 (pow.f32 (PI.f32) 3) 8/3) (*.f32 -2 (pow.f32 (PI.f32) 2))))) (pow.f32 u1 5)))) alphax)))
(+.f32 (.f32 (PI.f32) (.f32 2 (/.f32 (.f32 u1 alphay) alphax))) (/.f32 (+.f32 (.f32 (pow.f32 u1 3) (.f32 alphay (.f32 (pow.f32 (PI.f32) 3) 8/3))) (.f32 alphay (+.f32 (.f32 (+.f32 (.f32 (pow.f32 (PI.f32) 5) -16/15) (/.f32 (.f32 (.f32 (pow.f32 (PI.f32) 3) 8/3) (pow.f32 (PI.f32) 2)) 1/2)) (pow.f32 u1 5)) (.f32 (+.f32 (.f32 (pow.f32 (PI.f32) 7) 16/105) (-.f32 (/.f32 (.f32 (pow.f32 (PI.f32) 2) (+.f32 (.f32 (pow.f32 (PI.f32) 5) -16/15) (/.f32 (.f32 (.f32 (pow.f32 (PI.f32) 3) 8/3) (pow.f32 (PI.f32) 2)) 1/2))) 1/2) (.f32 (.f32 (pow.f32 (PI.f32) 3) 8/3) (.f32 2/3 (pow.f32 (PI.f32) 4))))) (pow.f32 u1 7))))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 u1 (.f32 (PI.f32) 2)))) (.f32 (cos.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 u1 2)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u1 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 u1 (.f32 (PI.f32) 2)))) (.f32 (cos.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 u1 2)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u1 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 u1 (.f32 (PI.f32) 2)))) (.f32 (cos.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 u1 2)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u1 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 u1 (.f32 (PI.f32) 2)))) (.f32 (cos.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 u1 2)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u1 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 u1 (.f32 (PI.f32) 2)))) (.f32 (cos.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 u1 2)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u1 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 u1 (.f32 (PI.f32) 2)))) (.f32 (cos.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 u1 2)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u1 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 u1 (.f32 (PI.f32) 2)))) (.f32 (cos.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 u1 2)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u1 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 u1 (.f32 (PI.f32) 2)))) (.f32 (cos.f32 (.f32 u1 (.f32 (PI.f32) 2))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 2 u1)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 (PI.f32) (.f32 u1 2)))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u1 2))) alphax))
(+.f32 (*.f32 u1 (PI.f32)) 0)
(*.f32 (PI.f32) u1)
(+.f32 0 (*.f32 u1 (PI.f32)))
(*.f32 (PI.f32) u1)
(+.f32 (/.f32 (.f32 u1 (PI.f32)) 2) (/.f32 (.f32 u1 (PI.f32)) 2))
(*.f32 (PI.f32) u1)
(-.f32 (*.f32 u1 (PI.f32)) 0)
(*.f32 (PI.f32) u1)
(-.f32 (/.f32 (.f32 u1 (PI.f32)) 2) (/.f32 (neg.f32 (.f32 u1 (PI.f32))) 2))
(*.f32 (PI.f32) u1)
(-.f32 (/.f32 (.f32 u1 (PI.f32)) 2) (/.f32 (.f32 -2 (*.f32 u1 (PI.f32))) 4))
(*.f32 (PI.f32) u1)
(/.f32 (*.f32 u1 (PI.f32)) 1)
(*.f32 (PI.f32) u1)
(/.f32 (.f32 u1 (.f32 (PI.f32) 2)) 2)
(*.f32 (PI.f32) u1)
(/.f32 (.f32 u1 (.f32 (PI.f32) 4)) 4)
(*.f32 (PI.f32) u1)
(/.f32 (.f32 (.f32 u1 (PI.f32)) 8) 8)
(*.f32 (PI.f32) u1)
(/.f32 (.f32 (.f32 u1 (*.f32 (PI.f32) 2)) 8) 16)
(*.f32 (PI.f32) u1)
(pow.f32 (*.f32 u1 (PI.f32)) 1)
(*.f32 (PI.f32) u1)
(+.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (*.f32 (PI.f32) 2)))) 0)
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (*.f32 (PI.f32) 2))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))))
(+.f32 0 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (*.f32 (PI.f32) 2)))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (*.f32 (PI.f32) 2))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))))
(+.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) (+.f32 alphax alphax))) (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) (+.f32 alphax alphax))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (*.f32 (PI.f32) 2))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))))
(-.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (*.f32 (PI.f32) 2)))) 0)
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (*.f32 (PI.f32) 2))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))))
(-.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) (+.f32 alphax alphax))) (/.f32 (neg.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))))) 2))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (*.f32 (PI.f32) 2))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))))
(/.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (*.f32 (PI.f32) 2)))) 1)
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (*.f32 (PI.f32) 2))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))))
(/.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (*.f32 (PI.f32) 2))) (/.f32 alphax 2))) 2)
(/.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphax 2))) 2)
(/.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))) (/.f32 alphax 2))) 2)
(/.f32 (.f32 (/.f32 alphay alphax) (.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) 4)) 4)
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (*.f32 (PI.f32) 2))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))))
(/.f32 (.f32 (/.f32 alphay alphax) (.f32 2 (.f32 (tan.f32 (.f32 u1 (*.f32 (PI.f32) 2))) 4))) 8)
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (*.f32 (PI.f32) 2))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))))
(/.f32 (.f32 (.f32 (tan.f32 (.f32 u1 (.f32 (PI.f32) 2))) 4) (*.f32 (/.f32 alphay alphax) 4)) 16)
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (*.f32 (PI.f32) 2))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))))
(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (*.f32 (PI.f32) 2)))) 1)
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 u1 (*.f32 (PI.f32) 2))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))))

localize1.1s (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))))))
	0.4b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))))
	0.4b	(*.f32 u1 (PI.f32))
✓	19.6b	(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))))))

Compiler

Compiled 492 to 284 computations (42.3% saved)

series41.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
26.0ms	alphax	@	0	(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))))))
2.0ms	alphax	@	-inf	(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))))))
2.0ms	alphay	@	-inf	(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))))))
2.0ms	alphax	@	inf	(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))))))
2.0ms	alphay	@	0	(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))))))

rewrite246.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1358×	`rational_best-2`
1358×	`rational_best-3`
1358×	`rational_best-1`
1356×	`rational_best-4`
1356×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	102
1	131	102
2	259	102
3	804	102
4	3279	102

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify430.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1206×	`rational_best-simplify-47`
908×	`rational_best-simplify-65`
840×	`rational_best-simplify-48`
794×	`rational_best-simplify-52`
716×	`rational_best-simplify-67`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	125	6332
1	255	6232
2	526	6232
3	1566	6226

Stop Event

1×	node limit

Counts

120 → 68

Calls

Call 1

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

eval6.6s (6.5%)

Compiler: Compiled 65142 to 45003 computations (30.9% saved)

prune1.7s (1.7%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	744	4	748
Fresh	0	0	0
Picked	1	0	1
Done	2	5	7
Total	747	9	756

Error

0.2b

Counts

756 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (/.f32 (+.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))))) (.f32 alphay alphay)) (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))))) (.f32 alphax alphax))) 2)) (-.f32 1 u0)))))
✓	2.1b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (/.f32 (+.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))))) (.f32 alphay alphay)) (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))))))) (.f32 alphax alphax))) 2)) (-.f32 1 u0)))))
✓	0.8b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (/.f32 (+.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))))) (.f32 alphay alphay)) (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax))) 2)) (-.f32 1 u0)))))
▶	3.6b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (/.f32 (+.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))))))) (.f32 alphay alphay)) (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (.f32 (PI.f32) (.f32 u1 alphay)) (/.f32 2 alphax)))))) (.f32 alphax alphax))) 2)) (-.f32 1 u0)))))
✓	0.8b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (/.f32 (+.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 alphay alphay)) (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))))) (*.f32 alphax alphax))) 2)) (-.f32 1 u0)))))
▶	2.4b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (/.f32 (+.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 alphay alphay)) (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (.f32 (PI.f32) (.f32 u1 alphay)) (/.f32 2 alphax)))))) (*.f32 alphax alphax))) 2)) (-.f32 1 u0)))))
▶	3.6b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (/.f32 (+.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (.f32 (PI.f32) (.f32 u1 alphay)) (/.f32 2 alphax)))))) (.f32 alphay alphay)) (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))))))) (.f32 alphax alphax))) 2)) (-.f32 1 u0)))))
✓	0.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 (/.f32 1 (+.f32 (/.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))))) 2) (.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 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0)))))
▶	0.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 (/.f32 1 (+.f32 (/.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))))) 2) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0)))))

Compiler

Compiled 559 to 420 computations (24.9% saved)

localize1.6s (1.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax))
	0.4b	(*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))
	12.9b	(tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))
	19.6b	(+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax))))))

Compiler

Compiled 720 to 394 computations (45.3% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite230.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1200×	`rational_best-simplify-51`
1152×	`rational_best-4`
1152×	`rational_best-2`
1152×	`rational_best-3`
1152×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	37
1	102	37
2	216	37
3	637	37
4	2903	37

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify684.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1428×	`rational_best-simplify-56`
1028×	`rational_best-simplify-50`
978×	`rational_best-simplify-62`
866×	`rational_best-simplify-63`
826×	`rational_best-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	3657
1	284	3639
2	671	3627
3	1752	3557
4	5997	3557

Stop Event

1×	node limit

Counts

47 → 37

Calls

Call 1

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

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

localize2.2s (2.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))))))
	0.4b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))))
	0.4b	(*.f32 u1 (PI.f32))
✓	19.7b	(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (.f32 (PI.f32) (.f32 u1 alphay)) (/.f32 2 alphax))))))

Compiler

Compiled 538 to 299 computations (44.4% saved)

series25.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	alphay	@	0	(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (.f32 (PI.f32) (.f32 u1 alphay)) (/.f32 2 alphax))))))
2.0ms	alphay	@	inf	(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (.f32 (PI.f32) (.f32 u1 alphay)) (/.f32 2 alphax))))))
2.0ms	alphax	@	-inf	(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (.f32 (PI.f32) (.f32 u1 alphay)) (/.f32 2 alphax))))))
2.0ms	alphax	@	inf	(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (.f32 (PI.f32) (.f32 u1 alphay)) (/.f32 2 alphax))))))
2.0ms	u1	@	0	(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (.f32 (PI.f32) (.f32 u1 alphay)) (/.f32 2 alphax))))))

rewrite324.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1406×	`rational_best-2`
1406×	`rational_best-3`
1406×	`rational_best-1`
1384×	`rational_best-4`
1384×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	47
1	121	47
2	246	47
3	767	47
4	3564	47

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

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

Outputs

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

simplify600.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1420×	`rational_best-simplify-56`
1122×	`rational_best-simplify-67`
702×	`rational_best-simplify-3`
594×	`rational_best-simplify-64`
508×	`rational_best-simplify-85`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	94	3019
1	227	3013
2	566	3013
3	2339	3013

Stop Event

1×	node limit

Counts

63 → 36

Calls

Call 1

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

localize2.9s (2.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 (PI.f32) (.f32 u1 alphay))
✓	0.4b	(+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (.f32 (PI.f32) (.f32 u1 alphay)) (/.f32 2 alphax))))))
	10.3b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))
	31.7b	(tan.f32 (*.f32 1/2 (PI.f32)))

Compiler

Compiled 506 to 299 computations (40.9% saved)

series76.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
71.0ms	alphay	@	0	(.f32 (PI.f32) (.f32 u1 alphay))
1.0ms	u1	@	inf	(.f32 (PI.f32) (.f32 u1 alphay))
1.0ms	u1	@	0	(.f32 (PI.f32) (.f32 u1 alphay))
1.0ms	alphay	@	inf	(.f32 (PI.f32) (.f32 u1 alphay))
0.0ms	u1	@	-inf	(.f32 (PI.f32) (.f32 u1 alphay))

rewrite299.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1402×	`rational_best-2`
1402×	`rational_best-3`
1402×	`rational_best-1`
1380×	`rational_best-4`
1380×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	62
1	122	62
2	247	62
3	757	62
4	3530	62

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

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

Outputs

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

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

simplify610.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1282×	`rational_best-simplify-63`
1266×	`rational_best-simplify-57`
1002×	`rational_best-simplify-83`
824×	`rational_best-simplify-1`
734×	`rational_best-simplify-64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	3560
1	286	3548
2	758	3548
3	2782	3488

Stop Event

1×	node limit

Counts

98 → 52

Calls

Call 1

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

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

localize1.2s (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))))
	0.4b	(*.f32 u1 (PI.f32))
	0.4b	(+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (.f32 (PI.f32) (.f32 u1 alphay)) (/.f32 2 alphax))))))
	19.6b	(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))))))))

Compiler

Compiled 538 to 299 computations (44.4% saved)

eval4.5s (4.4%)

Compiler: Compiled 48610 to 32142 computations (33.9% saved)

prune1.2s (1.2%)

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	617	2	619
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	617	11	628

Error

0.2b

Counts

628 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (/.f32 (+.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))))) (.f32 alphay alphay)) (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))))) (.f32 alphax alphax))) 2)) (-.f32 1 u0)))))
✓	2.1b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (/.f32 (+.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))))) (.f32 alphay alphay)) (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))))))) (.f32 alphax alphax))) 2)) (-.f32 1 u0)))))
✓	0.8b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (/.f32 (+.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))))) (.f32 alphay alphay)) (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (*.f32 alphax alphax))) 2)) (-.f32 1 u0)))))
✓	3.6b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (/.f32 (+.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))))))) (.f32 alphay alphay)) (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (.f32 (PI.f32) (.f32 u1 alphay)) (/.f32 2 alphax)))))) (.f32 alphax alphax))) 2)) (-.f32 1 u0)))))
✓	0.8b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (/.f32 (+.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 alphay alphay)) (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))))) (*.f32 alphax alphax))) 2)) (-.f32 1 u0)))))
✓	2.4b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (/.f32 (+.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 alphay alphay)) (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (.f32 (PI.f32) (.f32 u1 alphay)) (/.f32 2 alphax)))))) (*.f32 alphax alphax))) 2)) (-.f32 1 u0)))))
✓	3.6b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (/.f32 (+.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (.f32 (PI.f32) (.f32 u1 alphay)) (/.f32 2 alphax)))))) (.f32 alphay alphay)) (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))))))) (.f32 alphax alphax))) 2)) (-.f32 1 u0)))))
	3.6b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (/.f32 (+.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (.f32 (PI.f32) (.f32 u1 alphay)) (/.f32 2 alphax)))))) (.f32 alphay alphay)) (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (.f32 (PI.f32) (.f32 u1 alphay)) (/.f32 2 alphax)))))) (.f32 alphax alphax))) 2)) (-.f32 1 u0)))))
✓	0.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 (/.f32 1 (+.f32 (/.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))))) 2) (.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 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0)))))
✓	0.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 (/.f32 1 (+.f32 (/.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))) (/.f32 alphay alphax)))))) 2) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0)))))
	2.1b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 (/.f32 1 (+.f32 (/.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) (/.f32 alphay alphax)))))) 2) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (+.f32 u1 u1)))))))) (.f32 alphay alphay)))) u0) (-.f32 1 u0)))))

Compiler

Compiled 688 to 512 computations (25.6% saved)

regimes975.0ms (1%)

Counts

18 → 1

Calls

Call 1

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

Calls

13 calls:

296.0ms	(/.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))))
144.0ms	(+.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)))
141.0ms	(.f32 (.f32 2 (PI.f32)) u1)
49.0ms	alphax
47.0ms	(/.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))

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 1735 to 1160 computations (33.1% saved)

regimes240.0ms (0.2%)

Counts

14 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

52.0ms	u0
42.0ms	alphax
30.0ms	alphay
30.0ms	u1

Results

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

Compiler

Compiled 859 to 573 computations (33.3% saved)

regimes189.0ms (0.2%)

Counts

11 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

54.0ms	alphay
27.0ms	u0
27.0ms	u1
26.0ms	alphax

Results

Error	Segments	Branch
0.3b	1	`u0`
0.3b	1	`u1`
0.3b	1	`alphax`
0.3b	1	`alphay`

Compiler

Compiled 630 to 420 computations (33.3% saved)

regimes166.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

41.0ms	alphay
28.0ms	u1
23.0ms	u0
21.0ms	alphax

Results

Error	Segments	Branch
0.8b	1	`u0`
0.8b	1	`u1`
0.8b	1	`alphax`
0.8b	1	`alphay`

Compiler

Compiled 503 to 337 computations (33% saved)

regimes103.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

27.0ms	u1
22.0ms	alphax
8.0ms	alphay
8.0ms	u0

Results

Error	Segments	Branch
2.4b	1	`u0`
2.4b	1	`u1`
2.4b	1	`alphax`
2.4b	1	`alphay`

Compiler

Compiled 285 to 192 computations (32.6% saved)

regimes89.0ms (0.1%)

Accuracy

Total -1.3b remaining (-53%)

Threshold costs -1.3b (-53%)

Counts

4 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

20.0ms	alphax
19.0ms	alphay
7.0ms	u0
7.0ms	u1

Results

Error	Segments	Branch
2.4b	1	`u0`
2.4b	1	`u1`
2.4b	1	`alphax`
2.4b	1	`alphay`

Compiler

Compiled 233 to 158 computations (32.2% saved)

simplify52.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	1305

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 439 to 325 computations (26% saved)

soundness959.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

1138×	`rational_best-simplify-55`
1138×	`rational_best-simplify-55`
924×	`rational_best-simplify-47`
924×	`rational_best-simplify-47`
882×	`rational_best-simplify-64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	344	15658
1	898	15600
2	2452	14374
0	344	15658
1	898	15600
2	2452	14374

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 564 to 366 computations (35.1% saved)

end787.0ms (0.8%)

Compiler: Compiled 415 to 275 computations (33.7% saved)

Details

analyze4.1s (4%)

sample27.9s (27.3%)

preprocess365.0ms (0.4%)

simplify400.0ms (0.4%)

eval26.0ms (0%)

prune7.0ms (0%)

localize2.2s (2.2%)

series97.0ms (0.1%)

rewrite836.0ms (0.8%)

simplify691.0ms (0.7%)

localize1.2s (1.1%)

series63.0ms (0.1%)

rewrite265.0ms (0.3%)

simplify551.0ms (0.5%)

eval4.5s (4.4%)

prune973.0ms (1%)

localize2.0s (1.9%)

series1.0ms (0%)

rewrite354.0ms (0.3%)

simplify229.0ms (0.2%)

localize1.8s (1.8%)

series8.0ms (0%)

rewrite190.0ms (0.2%)

simplify266.0ms (0.3%)

localize2.2s (2.2%)

localize1.7s (1.6%)

series25.0ms (0%)

rewrite219.0ms (0.2%)

simplify467.0ms (0.5%)

localize2.0s (2%)

series71.0ms (0.1%)

rewrite341.0ms (0.3%)

simplify640.0ms (0.6%)

eval6.9s (6.7%)

prune1.5s (1.4%)

localize2.1s (2%)

series2.0ms (0%)

rewrite288.0ms (0.3%)

simplify271.0ms (0.3%)

localize1.7s (1.7%)

series30.0ms (0%)

rewrite187.0ms (0.2%)

simplify296.0ms (0.3%)

localize1.2s (1.2%)

series40.0ms (0%)

rewrite301.0ms (0.3%)

simplify338.0ms (0.3%)

localize1.1s (1.1%)

series41.0ms (0%)

rewrite246.0ms (0.2%)

simplify430.0ms (0.4%)

eval6.6s (6.5%)

prune1.7s (1.7%)

localize1.6s (1.5%)

series2.0ms (0%)

rewrite230.0ms (0.2%)

simplify684.0ms (0.7%)

localize2.2s (2.2%)

series25.0ms (0%)

rewrite324.0ms (0.3%)

simplify600.0ms (0.6%)

localize2.9s (2.9%)

series76.0ms (0.1%)

rewrite299.0ms (0.3%)

simplify610.0ms (0.6%)

localize1.2s (1.2%)

eval4.5s (4.4%)

prune1.2s (1.2%)

regimes975.0ms (1%)

regimes240.0ms (0.2%)

regimes189.0ms (0.2%)

regimes166.0ms (0.2%)

regimes103.0ms (0.1%)

regimes89.0ms (0.1%)

simplify52.0ms (0.1%)

soundness959.0ms (0.9%)

end787.0ms (0.8%)

Profiling