Details

analyze1.1s (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)

sample7.9s (29.1%)

Results

7.9s

8256×

body

256

valid

Bogosity

preprocess78.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

1246×	`distribute-lft-in`
1218×	`distribute-rgt-in`
1054×	`associate-/l*`
820×	`associate-*r/`
786×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	1925
1	325	1855
2	637	1743
3	1667	1631
4	5149	1631
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 1 (+.f32 (.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u1 (.f32 (PI.f32) 1/2)))))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u1 (.f32 (PI.f32) 1/2)))))) alphax)) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u1 (.f32 (PI.f32) 1/2)))))) alphay) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u1 (.f32 (PI.f32) 1/2)))))) alphay)))) (/.f32 (-.f32 1 u0) u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (-.f32 1 u0) (fma.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2)))))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2)))))) alphax) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2)))))) alphay) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2)))))) alphay))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (fma.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphax) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphay) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2)))))) alphay)))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (fma.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) (.f32 alphax alphax)) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) (*.f32 alphay alphay))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 (/.f32 1 (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u0) (.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u0) (.f32 1/2 (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u0) (.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u0) (.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u1) (-.f32 1 u1)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 (.f32 1 u1) (+.f32 (.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u0 (.f32 (PI.f32) 1/2)))))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u0 (.f32 (PI.f32) 1/2)))))) alphax)) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u0 (.f32 (PI.f32) 1/2)))))) alphay) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u0 (*.f32 (PI.f32) 1/2)))))) alphay)))) (-.f32 1 u1)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u1 (.f32 (-.f32 1 u1) (fma.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u0) (.f32 (PI.f32) 1/2)))))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u0) (.f32 (PI.f32) 1/2)))))) alphax) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u0) (.f32 (PI.f32) 1/2)))))) (.f32 alphay alphay)) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u0) (*.f32 (PI.f32) 1/2)))))))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u1 (fma.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u0))))))) (.f32 alphay alphay)) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u0))))))) (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u0))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u0))))))) (*.f32 alphax alphax))))) (-.f32 1 u1)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u0 1/2)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u0 1/2)))))) (.f32 alphax alphax)) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u0 1/2)))))) (.f32 alphay (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u0 1/2))))))))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u1 (fma.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u0 1/2)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u0 1/2)))))) (.f32 alphax alphax)) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u0 1/2)))))) (.f32 alphay (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u0 1/2))))))))))) (-.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 alphax) (+.f32 (.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u1 (.f32 (PI.f32) 1/2))) (/.f32 alphay u0)))) u0) (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u1 (.f32 (PI.f32) 1/2))) (/.f32 alphay u0)))) u0)) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u1 (.f32 (PI.f32) 1/2))) (/.f32 alphay u0)))) alphay) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u1 (*.f32 (PI.f32) 1/2))) (/.f32 alphay u0)))) alphay)))) (-.f32 1 alphax)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 alphax (.f32 (-.f32 1 alphax) (fma.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))) (/.f32 alphay u0)))) alphay) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))) (/.f32 alphay u0)))) alphay) (.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))) (/.f32 alphay u0)))) u0) (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))) (/.f32 alphay u0)))) u0))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 alphax (.f32 (fma.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))) (/.f32 alphay u0)))) u0) (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))) (/.f32 alphay u0)))) u0) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))) (/.f32 alphay u0)))) alphay) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))) (/.f32 alphay u0)))) alphay))) (-.f32 1 alphax))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 alphax (.f32 (fma.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) u0)))) (/.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) u0)))) (.f32 u0 u0)) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) u0)))) alphay) (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) u0)))) alphay))) (-.f32 1 alphax))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 alphax (.f32 (fma.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay u0)))) (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay u0)))) (.f32 u0 u0)) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay u0)))) (/.f32 (.f32 alphay alphay) (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay u0))))))) (-.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 alphay) (+.f32 (.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u1 (.f32 (PI.f32) 1/2))) (/.f32 u0 alphax)))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u1 (.f32 (PI.f32) 1/2))) (/.f32 u0 alphax)))) alphax)) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u1 (.f32 (PI.f32) 1/2))) (/.f32 u0 alphax)))) u0) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u1 (*.f32 (PI.f32) 1/2))) (/.f32 u0 alphax)))) u0)))) (-.f32 1 alphay)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 alphay (.f32 (-.f32 1 alphay) (fma.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))) (/.f32 u0 alphax)))) u0) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))) (/.f32 u0 alphax)))) u0) (.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))) (/.f32 u0 alphax)))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))) (/.f32 u0 alphax)))) alphax))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 alphay (.f32 (fma.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))) (/.f32 u0 alphax)))) u0) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))) (/.f32 u0 alphax)))) u0) (.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))) (/.f32 u0 alphax)))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))) (/.f32 u0 alphax)))) alphax))) (-.f32 1 alphay))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 alphay (.f32 (fma.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 u0 alphax)))) (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 u0 alphax)))) (.f32 alphax alphax)) (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 u0 alphax)))) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 u0 alphax)))) (.f32 u0 u0)))) (-.f32 1 alphay))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 (/.f32 1 (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) alphax) (.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) alphax) (.f32 1/2 (PI.f32)))))))) (.f32 u1 u1)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) alphax) (.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) alphax) (.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 1 (+.f32 (.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (fma.f32 (.f32 2 (PI.f32)) alphax (.f32 (PI.f32) 1/2)))))) u1) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (fma.f32 (.f32 2 (PI.f32)) alphax (.f32 (PI.f32) 1/2)))))) u1)) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (fma.f32 (.f32 2 (PI.f32)) alphax (.f32 (PI.f32) 1/2)))))) (/.f32 (.f32 alphay alphay) (sin.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (fma.f32 (.f32 2 (PI.f32)) alphax (.f32 (PI.f32) 1/2)))))))))) (/.f32 (-.f32 1 u0) u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (-.f32 1 u0) (fma.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (fma.f32 alphax (.f32 2 (PI.f32)) (.f32 (PI.f32) 1/2)))))) alphay) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (fma.f32 alphax (.f32 2 (PI.f32)) (.f32 (PI.f32) 1/2)))))) alphay) (.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (fma.f32 alphax (.f32 2 (PI.f32)) (.f32 (PI.f32) 1/2)))))) u1) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (fma.f32 alphax (.f32 2 (PI.f32)) (.f32 (PI.f32) 1/2)))))) u1))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (-.f32 1 u0) (fma.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 alphax 2))))))) u1) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 alphax 2))))))) u1) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 alphax 2))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 alphax 2))))))) (*.f32 alphay alphay)))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (-.f32 1 u0) (fma.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (.f32 (PI.f32) (fma.f32 alphax 2 1/2)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (.f32 (PI.f32) (fma.f32 alphax 2 1/2)))))) (.f32 u1 u1)) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (.f32 (PI.f32) (fma.f32 alphax 2 1/2)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (.f32 (PI.f32) (fma.f32 alphax 2 1/2)))))) (.f32 alphay alphay)))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (-.f32 1 u0) (fma.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (.f32 (PI.f32) (fma.f32 alphax 2 1/2)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (.f32 (PI.f32) (fma.f32 alphax 2 1/2)))))) (.f32 u1 u1)) (/.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (.f32 (PI.f32) (fma.f32 alphax 2 1/2)))))) (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (.f32 (PI.f32) (fma.f32 alphax 2 1/2)))))))) alphay)))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 (/.f32 1 (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 u1 alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) alphay) (.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 u1 alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) alphay) (.f32 1/2 (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 u1 alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) alphay) (.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 u1 alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) alphay) (.f32 1/2 (PI.f32)))))))) (*.f32 u1 u1)))) u0) (-.f32 1 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 1 (+.f32 (.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 u1 alphax) (tan.f32 (fma.f32 (.f32 2 (PI.f32)) alphay (.f32 (PI.f32) 1/2)))))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 u1 alphax) (tan.f32 (fma.f32 (.f32 2 (PI.f32)) alphay (.f32 (PI.f32) 1/2)))))) alphax)) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 u1 alphax) (tan.f32 (fma.f32 (.f32 2 (PI.f32)) alphay (.f32 (PI.f32) 1/2)))))) u1) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 u1 alphax) (tan.f32 (fma.f32 (.f32 2 (PI.f32)) alphay (.f32 (PI.f32) 1/2)))))) u1)))) (/.f32 (-.f32 1 u0) u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (-.f32 1 u0) (fma.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 u1 alphax) (tan.f32 (fma.f32 alphay (.f32 2 (PI.f32)) (.f32 (PI.f32) 1/2)))))) u1) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 u1 alphax) (tan.f32 (fma.f32 alphay (.f32 2 (PI.f32)) (.f32 (PI.f32) 1/2)))))) u1) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 u1 alphax) (tan.f32 (fma.f32 alphay (.f32 2 (PI.f32)) (.f32 (PI.f32) 1/2)))))) (/.f32 (.f32 alphax alphax) (cos.f32 (atan.f32 (.f32 (/.f32 u1 alphax) (tan.f32 (fma.f32 alphay (.f32 2 (PI.f32)) (.f32 (PI.f32) 1/2))))))))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (-.f32 1 u0) (fma.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 u1 alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 alphay 2))))))) u1) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 u1 alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 alphay 2))))))) u1) (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 u1 alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 alphay 2))))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 u1 alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 alphay 2))))))) (*.f32 alphax alphax)))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (-.f32 1 u0) (fma.f32 (cos.f32 (atan.f32 (.f32 (/.f32 u1 alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 alphay 2 1/2)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 u1 alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 alphay 2 1/2)))))) (.f32 alphax alphax)) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 u1 alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 alphay 2 1/2)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 u1 alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 alphay 2 1/2)))))) (.f32 u1 u1)))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (-.f32 1 u0) (fma.f32 (cos.f32 (atan.f32 (.f32 u1 (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 alphay 2 1/2))) alphax)))) (/.f32 (cos.f32 (atan.f32 (.f32 u1 (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 alphay 2 1/2))) alphax)))) (.f32 alphax alphax)) (/.f32 (sin.f32 (atan.f32 (.f32 u1 (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 alphay 2 1/2))) alphax)))) (/.f32 (.f32 u1 u1) (sin.f32 (atan.f32 (.f32 u1 (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 alphay 2 1/2))) alphax))))))))))))
(/.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 1 (+.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u1 (.f32 (PI.f32) 1/2))) (/.f32 alphax alphay)))) (/.f32 (.f32 alphay alphay) (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u1 (.f32 (PI.f32) 1/2))) (/.f32 alphax alphay)))))) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u1 (.f32 (PI.f32) 1/2))) (/.f32 alphax alphay)))) alphax) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u1 (.f32 (PI.f32) 1/2))) (/.f32 alphax alphay)))) alphax)))) (/.f32 (-.f32 1 u0) u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (-.f32 1 u0) (fma.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))) (/.f32 alphax alphay)))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))) (/.f32 alphax alphay)))) alphay) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))) (/.f32 alphax alphay)))) (/.f32 (.f32 alphax alphax) (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))) (/.f32 alphax alphay))))))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (-.f32 1 u0) (fma.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))) (/.f32 alphax alphay)))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))) (/.f32 alphax alphay)))) alphay) (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))) (/.f32 alphax alphay)))) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))) (/.f32 alphax alphay)))) (*.f32 alphax alphax)))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (-.f32 1 u0) (fma.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))) (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))) (.f32 alphay alphay)) (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))) (.f32 alphax alphax)))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (-.f32 1 u0) (fma.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))) (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))) (.f32 alphay alphay)) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))) (/.f32 (.f32 alphax alphax) (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay))))))))))))

Compiler

Compiled 96 to 68 computations (29.2% saved)

simplify61.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1248×	`fma-def`
1198×	`associate-/l*`
982×	`associate-r`
900×	`associate-*r/`
880×	`associate-+l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	275
1	70	265
2	123	249
3	226	233
4	513	233
5	1568	233
6	6795	233

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

eval7.0ms (0%)

Compiler: Compiled 480 to 308 computations (35.8% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	5	1	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	6	1	7

Error

0.2b

Counts

7 → 1

Alt Table

Click to see full alt table

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

Status

Error

Program

▶

0.2b

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

Compiler

Compiled 81 to 57 computations (29.6% saved)

localize517.0ms (1.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(fma.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphay) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphay) (.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2)))))) alphax)))
✓	0.5b	(.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2)))))) alphax))
✓	12.2b	(tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))
✓	12.9b	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))))))

Compiler

Compiled 593 to 383 computations (35.4% saved)

series37.0ms (0.1%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
4.0ms	u1	@	inf	(fma.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphay) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphay) (.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2)))))) alphax)))
4.0ms	alphax	@	0	(.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2)))))) alphax))
3.0ms	u1	@	-inf	(fma.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphay) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphay) (.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2)))))) alphax)))
2.0ms	u1	@	0	(tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))
1.0ms	alphay	@	-inf	(fma.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphay) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphay) (.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2)))))) alphax)))

rewrite148.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

716×	`associate-/r/`
530×	`add-sqr-sqrt`
520×	`pow1`
520×	`*-un-lft-identity`
488×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	268
1	516	220
2	6840	220

Stop Event

1×	node limit

Counts

4 → 107

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (cbrt.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 2)) (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -1 (neg.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (sqrt.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (cbrt.f32 (pow.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2)) (cbrt.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 1 (cos.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (cos.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (cos.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (neg.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) (tan.f32 (.f32 (PI.f32) 1/2))) (-.f32 1 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) (tan.f32 (.f32 (PI.f32) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))))
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(atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)) (cbrt.f32 (pow.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay 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(tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 4)) (-.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2) 3) (pow.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) 3)) (-.f32 (+.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 4)) (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 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(/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)))))))

simplify163.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1736×	`associate-*r/`
1524×	`associate-*l/`
846×	`distribute-lft-in`
826×	`associate-/l/`
600×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	322	16825
1	728	15921
2	3592	15909

Stop Event

1×	node limit

Counts

227 → 148

Calls

Call 1

Inputs
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (-.f32 1/2 (*.f32 -2 u1)) (PI.f32))) alphay) alphax)))
(/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32))))
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(+.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2) (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) 1))
(+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2))
(+.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) 1) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2))) 1)
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2))) (-.f32 1 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2)))
(-.f32 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (exp.f32 (log1p.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2)))) 1)
(-.f32 (+.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) 1) (exp.f32 (log1p.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2)))) 1)
(.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2) 1)
(.f32 1 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2))
(.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)))
(.f32 (cbrt.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)) (cbrt.f32 (pow.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2) 2)))
(.f32 (cbrt.f32 (pow.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2) 2)) (cbrt.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)))
(/.f32 (-.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 4)) (-.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2)))
(/.f32 (+.f32 (pow.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2) 3) (pow.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) 3)) (-.f32 (+.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 4)) (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2))))
(pow.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2) 1)
(pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)
(pow.f32 (cbrt.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)) 3)
(pow.f32 (pow.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2) 3) 1/3)
(sqrt.f32 (pow.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2) 2))
(log.f32 (exp.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2))))
(cbrt.f32 (pow.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)))
(exp.f32 (log.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)))
(exp.f32 (.f32 (log.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)) 1))
(log1p.f32 (expm1.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)))

Outputs
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))
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(pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)
(.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)))
(pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)
(.f32 (cbrt.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)) (cbrt.f32 (pow.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2) 2)))
(.f32 (cbrt.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)) (cbrt.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 4)))
(.f32 (cbrt.f32 (pow.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2) 2)) (cbrt.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)))
(.f32 (cbrt.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)) (cbrt.f32 (pow.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2) 2)))
(.f32 (cbrt.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)) (cbrt.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 4)))
(/.f32 (-.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 4)) (-.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2)))
(/.f32 (-.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 4) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 4)) (-.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2)))
(/.f32 (+.f32 (pow.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2) 3) (pow.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) 3)) (-.f32 (+.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 4)) (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2))))
(/.f32 (+.f32 (pow.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2) 3) (pow.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) 3)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 4) (-.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 4) (.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2)))))
(/.f32 (+.f32 (pow.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2) 3) (pow.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) 3)) (+.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 4) (-.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 4) (.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2)))))
(/.f32 (+.f32 (pow.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2) 3) (pow.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) 3)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 4) (.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2) (-.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2)))))
(pow.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2) 1)
(pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)
(pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)
(pow.f32 (cbrt.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)) 3)
(pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)
(pow.f32 (pow.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2) 3) 1/3)
(pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)
(sqrt.f32 (pow.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2) 2))
(fabs.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2))
(log.f32 (exp.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)))
(pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2))))
(pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)
(cbrt.f32 (pow.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2) 3))
(pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)
(expm1.f32 (log1p.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)))
(pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)
(exp.f32 (log.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)))
(pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)
(exp.f32 (.f32 (log.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)) 1))
(pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)
(log1p.f32 (expm1.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)))
(pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)

eval698.0ms (2.6%)

Compiler: Compiled 27072 to 18639 computations (31.2% saved)

prune80.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	300	3	303
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	301	3	304

Error

0.2b

Counts

304 → 3

Alt Table

Click to see full alt table

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

Status

Error

Program

▶

0.2b

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

▶

0.6b

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

▶

0.2b

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

Compiler

Compiled 130 to 100 computations (23.1% saved)

localize292.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2)
✓	0.5b	(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2)
✓	12.2b	(tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))
✓	12.9b	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))

Compiler

Compiled 396 to 259 computations (34.6% saved)

series38.0ms (0.1%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
8.0ms	alphax	@	-inf	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2)
3.0ms	u1	@	inf	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2)
2.0ms	alphax	@	0	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2)
2.0ms	alphay	@	0	(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2)
1.0ms	alphay	@	-inf	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2)

rewrite127.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

592×	`associate-/l/`
546×	`distribute-lft-in`
526×	`associate-/r/`
486×	`add-sqr-sqrt`
478×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	168
1	480	168
2	6005	168

Stop Event

1×	node limit

Counts

4 → 182

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) 2) (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -1 (neg.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -1 (.f32 1 (neg.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (sqrt.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (pow.f32 (cbrt.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 2) (cbrt.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 1 (cos.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (cos.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (cos.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (neg.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) (.f32 (/.f32 1 alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (pow.f32 (/.f32 (cos.f32 (atan.f32 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(PI.f32) (fma.f32 2 u1 1/2))))))) (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (neg.f32 alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (neg.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (neg.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (.f32 (neg.f32 alphay) (neg.f32 alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) alphay)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))) (.f32 (.f32 alphay alphay) (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (neg.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (neg.f32 alphay))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (.f32 (.f32 alphay alphay) (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (/.f32 1 alphay)) (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay)) alphay)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (neg.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay)) (neg.f32 alphay))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) (sqrt.f32 alphay)) (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (sqrt.f32 alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) (pow.f32 (cbrt.f32 alphay) 2)) (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (cbrt.f32 alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -1 (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (neg.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))) (.f32 (.f32 alphay (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (neg.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (.f32 (/.f32 alphay alphax) 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expm1.f32 (log1p.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 2 (log.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 2 (log.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2)))))))

simplify190.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1504×	`times-frac`
1020×	`associate-/l*`
858×	`associate-l`
824×	`associate-r`
802×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	504	19986
1	1355	19568
2	7941	19568

Stop Event

1×	node limit

Counts

302 → 249

Calls

Call 1

Inputs
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
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(/.f32 (sqrt.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))) (.f32 (.f32 alphay (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (/.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))) (sqrt.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))
(/.f32 (sqrt.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))) (.f32 (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) alphay) (/.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))) (sqrt.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))
(/.f32 (pow.f32 (cbrt.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) 2) (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (/.f32 alphay (cbrt.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))))
(/.f32 (pow.f32 (cbrt.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))) 2) (.f32 (.f32 alphay (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (/.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))) (cbrt.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))
(/.f32 (pow.f32 (cbrt.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))) 2) (.f32 (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) alphay) (/.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))) (cbrt.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 2) (*.f32 alphay alphay))
(/.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 2) (.f32 (.f32 alphay alphay) (+.f32 1 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 2))))
(/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (.f32 (.f32 alphay (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))
(/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (.f32 (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) alphay) (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))
(/.f32 (neg.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (neg.f32 alphay)))
(/.f32 (.f32 (neg.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (neg.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (.f32 (neg.f32 alphay) (neg.f32 alphay)))
(/.f32 (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) alphay)
(/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))) (.f32 (.f32 alphay alphay) (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))
(/.f32 (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (neg.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (neg.f32 alphay))
(/.f32 (.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (.f32 (.f32 alphay alphay) (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))
(/.f32 (.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (/.f32 1 alphay)) (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))
(/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay)) alphay)
(/.f32 (.f32 (neg.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay)) (neg.f32 alphay))
(/.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) (sqrt.f32 alphay)) (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (sqrt.f32 alphay)))
(/.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) (pow.f32 (cbrt.f32 alphay) 2)) (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (cbrt.f32 alphay)))
(/.f32 -1 (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (neg.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))))
(/.f32 (neg.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))) (.f32 (.f32 alphay (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (neg.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))
(/.f32 (neg.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))) (.f32 (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) alphay) (neg.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))
(/.f32 (neg.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))) (.f32 (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (neg.f32 alphay)) (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))
(/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) (neg.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (.f32 alphay (neg.f32 alphay)))
(/.f32 (.f32 (neg.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (.f32 (neg.f32 alphay) alphay))
(/.f32 (.f32 (neg.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) 1) (.f32 (neg.f32 alphay) (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))))
(/.f32 (neg.f32 (neg.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (neg.f32 (neg.f32 alphay))))
(/.f32 (-.f32 (cos.f32 (-.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (.f32 (*.f32 alphay alphay) 2))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 4))
(log.f32 (exp.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2))))
(cbrt.f32 (pow.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2)))
(exp.f32 (.f32 2 (log.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay))))
(exp.f32 (.f32 (.f32 2 (log.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay))) 1))
(log1p.f32 (expm1.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2)))

Outputs
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
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(.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (.f32 alphay alphay)) (/.f32 (/.f32 alphay alphax) (/.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(/.f32 (neg.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (neg.f32 alphay)))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) 2)
(/.f32 (.f32 (neg.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (neg.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (.f32 (neg.f32 alphay) (neg.f32 alphay)))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) 2)
(/.f32 (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) alphay)
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) 2)
(/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))) (.f32 (.f32 alphay alphay) (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))
(.f32 (/.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) (.f32 alphay alphay)) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))
(.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (.f32 alphay alphay)) (/.f32 (/.f32 alphay alphax) (/.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(/.f32 (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (neg.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (neg.f32 alphay))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) 2)
(/.f32 (.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (.f32 (.f32 alphay alphay) (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))
(.f32 (/.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) (.f32 alphay alphay)) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))
(.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (.f32 alphay alphay)) (/.f32 (/.f32 alphay alphax) (/.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(/.f32 (.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (/.f32 1 alphay)) (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))
(.f32 (/.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) (.f32 alphay alphay)) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))
(.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (.f32 alphay alphay)) (/.f32 (/.f32 alphay alphax) (/.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay)) alphay)
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) 2)
(/.f32 (.f32 (neg.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay)) (neg.f32 alphay))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) 2)
(/.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) (sqrt.f32 alphay)) (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (sqrt.f32 alphay)))
(.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (.f32 (sqrt.f32 alphay) alphay)) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (sqrt.f32 alphay)))
(/.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) 2) (*.f32 alphay (sqrt.f32 alphay))) (sqrt.f32 alphay))
(/.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) (pow.f32 (cbrt.f32 alphay) 2)) (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (cbrt.f32 alphay)))
(.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (.f32 (pow.f32 (cbrt.f32 alphay) 2) alphay)) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (cbrt.f32 alphay)))
(/.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) 2) (*.f32 alphay (pow.f32 (cbrt.f32 alphay) 2))) (cbrt.f32 alphay))
(/.f32 -1 (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (neg.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) 2)
(/.f32 (neg.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))) (.f32 (.f32 alphay (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (neg.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))
(.f32 (/.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) (.f32 alphay alphay)) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))
(.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (.f32 alphay alphay)) (/.f32 (/.f32 alphay alphax) (/.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(/.f32 (neg.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))) (.f32 (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) alphay) (neg.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))
(.f32 (/.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) (.f32 alphay alphay)) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))
(.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (.f32 alphay alphay)) (/.f32 (/.f32 alphay alphax) (/.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(/.f32 (neg.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))) (.f32 (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (neg.f32 alphay)) (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))
(.f32 (/.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) (.f32 alphay alphay)) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))
(.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (.f32 alphay alphay)) (/.f32 (/.f32 alphay alphax) (/.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) (neg.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (.f32 alphay (neg.f32 alphay)))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) 2)
(/.f32 (.f32 (neg.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (.f32 (neg.f32 alphay) alphay))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) 2)
(/.f32 (.f32 (neg.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) 1) (.f32 (neg.f32 alphay) (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) 2)
(/.f32 (neg.f32 (neg.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (neg.f32 (neg.f32 alphay))))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) 2)
(/.f32 (-.f32 (cos.f32 (-.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))) (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (.f32 (*.f32 alphay alphay) 2))
(/.f32 (-.f32 (cos.f32 0) (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) (.f32 2 (*.f32 alphay alphay)))
(/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) (.f32 2 (*.f32 alphay alphay)))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 4))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) 4))
(log.f32 (exp.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2)))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) 2)
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2))))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) 2)
(cbrt.f32 (pow.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) 3))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) 2)
(expm1.f32 (log1p.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2)))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) 2)
(exp.f32 (.f32 2 (log.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay))))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) 2)
(exp.f32 (.f32 (.f32 2 (log.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay))) 1))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) 2)
(log1p.f32 (expm1.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2)))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) 2)

localize188.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))
✓	0.4b	(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
	0.5b	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2)
	12.2b	(tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))

Compiler

Compiled 226 to 148 computations (34.5% saved)

series12.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite88.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1440×	`associate-*r/`
1148×	`associate-*l/`
888×	`associate-/r*`
654×	`associate-/l*`
332×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	50
1	325	50
2	3936	50

Stop Event

1×	node limit

Counts

2 → 198

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) (*.f32 2 u1)) (*.f32 (PI.f32) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) 1/2) (*.f32 (PI.f32) (*.f32 2 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 2 u1) (PI.f32)) (*.f32 1/2 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/2 (PI.f32)) (*.f32 (*.f32 2 u1) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (-.f32 (*.f32 (*.f32 2 u1) (*.f32 2 u1)) 1/4)) (-.f32 (*.f32 2 u1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (+.f32 1/8 (pow.f32 (*.f32 2 u1) 3))) (+.f32 (*.f32 (*.f32 2 u1) (*.f32 2 u1)) (-.f32 1/4 (*.f32 (*.f32 2 u1) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (*.f32 (*.f32 2 u1) (*.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (*.f32 2 u1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 1/8 (pow.f32 (*.f32 2 u1) 3)) (PI.f32)) (+.f32 (*.f32 (*.f32 2 u1) (*.f32 2 u1)) (-.f32 1/4 (*.f32 (*.f32 2 u1) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (fma.f32 2 u1 1/2)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 (fma.f32 2 u1 1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (fma.f32 2 u1 1/2) 3) (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 alphay (/.f32 alphax (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 alphay (/.f32 (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 alphay alphax) (/.f32 1 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 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alphay) (/.f32 (*.f32 (neg.f32 alphax) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (*.f32 (/.f32 alphax alphay) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (*.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 (/.f32 alphax alphay) (/.f32 1 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))) (/.f32 alphax (sqrt.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (/.f32 (*.f32 (/.f32 alphax alphay) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))) (cbrt.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) (/.f32 alphax (cbrt.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))) (/.f32 (*.f32 (/.f32 alphax alphay) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 alphay (sqrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))) (/.f32 alphax (sqrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 alphay (pow.f32 (cbrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 2)) (/.f32 alphax (cbrt.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 alphay) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (/.f32 alphax (sqrt.f32 alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (sqrt.f32 (/.f32 alphay alphax))) (sqrt.f32 (/.f32 alphax alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (#(struct:change #<rule 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egg-rr> (2) ((x /.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax) (/.f32 1 alphay))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (sqrt.f32 alphax)) (/.f32 (sqrt.f32 alphax) alphay))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (neg.f32 alphay) (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (*.f32 (neg.f32 alphax) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphay) (*.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 1) (*.f32 (/.f32 alphax alphay) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 1) (*.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (neg.f32 alphay)) (*.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (neg.f32 alphax)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))) (neg.f32 alphax))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (*.f32 (/.f32 alphax alphay) (neg.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))) (*.f32 alphax (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 1) alphax)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 1) (/.f32 alphax 1))))) (#(struct:change #<rule 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1/2))) alphax)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (/.f32 alphay alphax)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (/.f32 alphay alphax) 3) (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 3) (pow.f32 (/.f32 alphay alphax) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))))))

simplify134.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1546×	`associate-/l*`
1098×	`distribute-lft-in`
820×	`times-frac`
664×	`associate-/l/`
526×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	580	12398
1	1467	12290
2	6682	12290

Stop Event

1×	node limit

Counts

246 → 283

Calls

Call 1

Inputs
(*.f32 1/2 (PI.f32))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(.f32 2 (.f32 u1 (PI.f32)))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(.f32 2 (.f32 u1 (PI.f32)))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(+.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))))
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(cbrt.f32 (.f32 (pow.f32 (/.f32 alphay alphax) 3) (pow.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 3) (pow.f32 (/.f32 alphay alphax) 3)))
(expm1.f32 (log1p.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))
(exp.f32 (log.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))
(exp.f32 (.f32 (log.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))) 1))
(log1p.f32 (expm1.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))

Outputs
(*.f32 1/2 (PI.f32))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(.f32 2 (.f32 u1 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u1))
(.f32 u1 (.f32 (PI.f32) 2))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(.f32 2 (.f32 u1 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u1))
(.f32 u1 (.f32 (PI.f32) 2))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(+.f32 (.f32 1/2 (PI.f32)) (.f32 2 (*.f32 u1 (PI.f32))))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(/.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 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))
(.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(/.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 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))
(.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(/.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 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))
(.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(/.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 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))
(.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(/.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 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))
(.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(/.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 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))
(.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(/.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 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))
(.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(/.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 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))
(.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(/.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 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))
(.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(/.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 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))
(.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(/.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 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))
(.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(/.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 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))
(.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(/.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 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))
(.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(/.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 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))
(.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(/.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 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))
(.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(/.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 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))
(.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(/.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 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))
(.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(/.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 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))
(.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(/.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 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))
(.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(/.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 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))
(.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(/.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 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))
(.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(/.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 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))
(.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(/.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 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))
(.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(/.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 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))
(.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 (.f32 alphax (cos.f32 (*.f32 1/2 (PI.f32)))) alphay))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (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 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 (.f32 alphax (cos.f32 (.f32 1/2 (PI.f32)))) alphay)) (/.f32 alphay (/.f32 alphax (.f32 u1 (+.f32 (.f32 (PI.f32) 2) (.f32 2 (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (/.f32 (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)))))))))
(fma.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (/.f32 alphay alphax) (/.f32 alphay (/.f32 (/.f32 alphax u1) (.f32 2 (+.f32 (PI.f32) (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2)) (PI.f32)))))))
(+.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 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))
(/.f32 (/.f32 (neg.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))) (neg.f32 (sqrt.f32 alphax))) (sqrt.f32 alphax))
(/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 (sqrt.f32 alphax) (/.f32 alphay (sqrt.f32 alphax))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (*.f32 (sqrt.f32 alphax) (sqrt.f32 alphax))))
(/.f32 (/.f32 (neg.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))) (neg.f32 (pow.f32 (cbrt.f32 alphax) 2))) (cbrt.f32 alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))
(pow.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)) 1)
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))
(pow.f32 (sqrt.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))) 2)
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))
(pow.f32 (cbrt.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))) 3)
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))
(pow.f32 (pow.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)) 3) 1/3)
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))
(sqrt.f32 (pow.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)) 2))
(sqrt.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))) 2))
(fabs.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)))
(log.f32 (pow.f32 (exp.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (/.f32 alphay alphax)))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))
(log.f32 (+.f32 1 (expm1.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))
(cbrt.f32 (pow.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)) 3))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))
(cbrt.f32 (.f32 (pow.f32 (/.f32 alphay alphax) 3) (pow.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 3)))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))
(cbrt.f32 (.f32 (pow.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 3) (pow.f32 (/.f32 alphay alphax) 3)))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))
(expm1.f32 (log1p.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))
(exp.f32 (log.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))
(exp.f32 (.f32 (log.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))) 1))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))
(log1p.f32 (expm1.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))

localize386.0ms (1.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
✓	0.5b	(pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)
	12.2b	(tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))
	12.9b	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))

Compiler

Compiled 381 to 244 computations (36% saved)

series20.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite90.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

580×	`associate-/l/`
562×	`distribute-lft-in`
558×	`associate-/r/`
488×	`add-sqr-sqrt`
480×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	105
1	479	105
2	5993	105

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2) (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) (hypot.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax))) (*.f32 (sqrt.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax))) (hypot.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax))) 2) (cbrt.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax))) 2) (*.f32 (cbrt.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax))) (hypot.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 4)) (pow.f32 (cbrt.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) (sqrt.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)))) (sqrt.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) (pow.f32 (cbrt.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax))) 2)) (cbrt.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2)) (*.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2))) (-.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) 3) (pow.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2) 3)) (-.f32 (+.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2)) (*.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2))) (*.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 2 (log.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 2 (log.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2))))))

simplify92.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1644×	`associate-r`
1348×	`associate-/r*`
1324×	`associate-l`
1282×	`associate-/l*`
1006×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	172	10635
1	480	8379
2	2121	6945

Stop Event

1×	node limit

Counts

59 → 57

Calls

Call 1

Inputs
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 2)))
(+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)) (+.f32 (.f32 (+.f32 (.f32 -1/4 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 4) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 4)))) (.f32 1/4 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 4) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 4))))) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 2))))
(+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)) (+.f32 (.f32 (+.f32 (.f32 -1/4 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 4) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 4)))) (.f32 1/4 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 4) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 4))))) (pow.f32 alphay 2)) (+.f32 (.f32 (+.f32 (.f32 -1/8 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 6) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 4) (pow.f32 alphax 6)))) (.f32 1/8 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 6) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 4) (pow.f32 alphax 6))))) (pow.f32 alphay 4)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 2)))))
(/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 2))
(+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 2)))
(+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)) (+.f32 (.f32 -1/4 (/.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 4) (pow.f32 alphax 2)) (.f32 (pow.f32 alphay 4) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2)))) (+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 4) (pow.f32 alphax 2)) (.f32 (pow.f32 alphay 4) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2)))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 2)))))
(+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)) (+.f32 (.f32 1/8 (/.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 6) (pow.f32 alphax 4)) (.f32 (pow.f32 alphay 6) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 4)))) (+.f32 (.f32 -1/4 (/.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 4) (pow.f32 alphax 2)) (.f32 (pow.f32 alphay 4) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2)))) (+.f32 (.f32 -1/8 (/.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 6) (pow.f32 alphax 4)) (.f32 (pow.f32 alphay 6) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 4)))) (+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 4) (pow.f32 alphax 2)) (.f32 (pow.f32 alphay 4) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2)))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 2)))))))
(/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 2))
(+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 2)))
(+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)) (+.f32 (.f32 -1/4 (/.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 4) (pow.f32 alphax 2)) (.f32 (pow.f32 alphay 4) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2)))) (+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 4) (pow.f32 alphax 2)) (.f32 (pow.f32 alphay 4) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2)))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 2)))))
(+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)) (+.f32 (.f32 1/8 (/.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 6) (pow.f32 alphax 4)) (.f32 (pow.f32 alphay 6) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 4)))) (+.f32 (.f32 -1/4 (/.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 4) (pow.f32 alphax 2)) (.f32 (pow.f32 alphay 4) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2)))) (+.f32 (.f32 -1/8 (/.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 6) (pow.f32 alphax 4)) (.f32 (pow.f32 alphay 6) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 4)))) (+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 4) (pow.f32 alphax 2)) (.f32 (pow.f32 alphay 4) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2)))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 2)))))))
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(.f32 (pow.f32 (cbrt.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax))) 2) (.f32 (cbrt.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax))) (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax))))
(.f32 (cbrt.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 4)) (pow.f32 (cbrt.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax))) 2))
(.f32 (.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) (sqrt.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)))) (sqrt.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax))))
(.f32 (.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) (pow.f32 (cbrt.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax))) 2)) (cbrt.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax))))
(/.f32 (-.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2)) (.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2))) (-.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2)))
(/.f32 (+.f32 (pow.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) 3) (pow.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2) 3)) (-.f32 (+.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2)) (.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2))) (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2))))
(sqrt.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 4))
(log.f32 (exp.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2))))
(cbrt.f32 (pow.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)))
(exp.f32 (.f32 2 (log.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)))))
(exp.f32 (.f32 (.f32 2 (log.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)))) 1))
(log1p.f32 (expm1.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)))
(fma.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2))

Outputs
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) 2) (*.f32 alphay alphay))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) 2)
(+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 2)))
(+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) 2) (.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) 2) (.f32 alphax alphax)))
(+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) 2) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2))
(+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)) (+.f32 (.f32 (+.f32 (.f32 -1/4 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 4) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 4)))) (.f32 1/4 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 4) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 4))))) (pow.f32 alphay 2)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 2))))
(+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) 2) (.f32 alphay alphay)) (fma.f32 (.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) 4) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) 2) (pow.f32 alphax 4))) 0) (.f32 alphay alphay) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) 2) (*.f32 alphax alphax))))
(+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) 2) (fma.f32 (.f32 alphay alphay) 0 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2)))
(+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)) (+.f32 (.f32 (+.f32 (.f32 -1/4 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 4) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 4)))) (.f32 1/4 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 4) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 4))))) (pow.f32 alphay 2)) (+.f32 (.f32 (+.f32 (.f32 -1/8 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 6) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 4) (pow.f32 alphax 6)))) (.f32 1/8 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 6) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 4) (pow.f32 alphax 6))))) (pow.f32 alphay 4)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 2)))))
(+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) 2) (.f32 alphay alphay)) (fma.f32 (.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) 4) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) 2) (pow.f32 alphax 4))) 0) (.f32 alphay alphay) (fma.f32 (.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) 6) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) 4) (pow.f32 alphax 6))) 0) (pow.f32 alphay 4) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) 2) (*.f32 alphax alphax)))))
(+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) 2) (fma.f32 (.f32 alphay alphay) 0 (fma.f32 (pow.f32 alphay 4) 0 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2))))
(/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 2))
(/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) 2) (*.f32 alphax alphax))
(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2)
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(.f32 (.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) (sqrt.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)))) (sqrt.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax))))
(pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) 2)
(.f32 (.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) (pow.f32 (cbrt.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax))) 2)) (cbrt.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax))))
(pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) 2)
(/.f32 (-.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2)) (.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2))) (-.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2)))
(/.f32 (-.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) 4) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 4)) (-.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) 2) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2)))
(/.f32 (+.f32 (pow.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) 3) (pow.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2) 3)) (-.f32 (+.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2)) (.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2))) (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2))))
(/.f32 (+.f32 (pow.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) 2) 3) (pow.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2) 3)) (-.f32 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) 4) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 4)) (.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) 2))))
(/.f32 (+.f32 (pow.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) 2) 3) (pow.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2) 3)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) 4) (.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2) (-.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) 2)))))
(sqrt.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 4))
(sqrt.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) 4))
(log.f32 (exp.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)))
(pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) 2)
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2))))
(pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) 2)
(cbrt.f32 (pow.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2) 3))
(pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) 2)
(expm1.f32 (log1p.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)))
(pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) 2)
(exp.f32 (.f32 2 (log.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)))))
(pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) 2)
(exp.f32 (.f32 (.f32 2 (log.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)))) 1))
(pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) 2)
(log1p.f32 (expm1.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)))
(pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) 2)
(fma.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2))
(+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) 2) (.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) 2) (.f32 alphax alphax)))
(+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) 2) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2))

eval1.3s (4.8%)

Compiler: Compiled 52111 to 36654 computations (29.7% saved)

prune396.0ms (1.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	941	4	945
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	944	4	948

Error

0.2b

Counts

948 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.6b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))) alphay) 2) (-.f32 1 u0))))))
▶	16.1b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2) (-.f32 1 u0))))))
▶	0.6b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) (.f32 2 (.f32 alphay alphay))) (-.f32 1 u0))))))
▶	0.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (/.f32 (/.f32 1 (.f32 alphax alphax)) (+.f32 1 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2)))) (-.f32 1 u0))))))

Compiler

Compiled 153 to 122 computations (20.3% saved)

localize311.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2)
	0.5b	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2)
✓	12.2b	(tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))
	12.2b	(tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))

Compiler

Compiled 456 to 292 computations (36% saved)

series9.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	0	(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2)
1.0ms	alphax	@	inf	(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2)
1.0ms	u1	@	inf	(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2)
1.0ms	u1	@	-inf	(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2)
1.0ms	alphay	@	0	(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2)

rewrite92.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1672×	`associate-*r/`
1274×	`associate-*l/`
888×	`associate-/r*`
356×	`add-sqr-sqrt`
348×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	60
1	351	60
2	4258	60

Stop Event

1×	node limit

Counts

2 → 160

Calls

Call 1

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

Outputs

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(tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) (*.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay)) (pow.f32 (cbrt.f32 alphax) 2)) (cbrt.f32 alphax))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 2 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simplify105.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1644×	`associate-/l*`
1496×	`times-frac`
1244×	`associate-r`
1068×	`associate-l`
760×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	499	14104
1	1399	13556

Stop Event

1×	node limit

Counts

208 → 208

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 (fma.f32 2 u1 1/2) (PI.f32))) (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))
(/.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))
(/.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))
(/.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))
(/.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))
(/.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))
(/.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))
(/.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 2)))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 2)))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 2)))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 2)))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 2)))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 2)))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 2)))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 2)))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 2)))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 2)))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 2)))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 2)))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 2)))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 2)))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 2)))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 2)))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 2)))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 2)))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 2)))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 2)))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 2)))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 2)))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 2)))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 2)))
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(/.f32 (/.f32 (.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay)) (.f32 (pow.f32 (cbrt.f32 alphax) 2) (pow.f32 (cbrt.f32 alphax) 2))) (pow.f32 (cbrt.f32 alphax) 2))
(/.f32 (/.f32 (.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay)) (.f32 alphax (pow.f32 (cbrt.f32 alphax) 2))) (cbrt.f32 alphax))
(/.f32 (/.f32 (.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay)) 1) alphax)
(/.f32 (/.f32 (.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay)) (sqrt.f32 alphax)) (sqrt.f32 alphax))
(/.f32 (/.f32 (.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay)) (cbrt.f32 alphax)) (pow.f32 (cbrt.f32 alphax) 2))
(/.f32 (/.f32 (.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay)) (pow.f32 (cbrt.f32 alphax) 2)) (cbrt.f32 alphax))
(sqrt.f32 (pow.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) 4))
(log.f32 (exp.f32 (pow.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) 2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) 2))))
(cbrt.f32 (pow.f32 (pow.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) 2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) 2)))
(exp.f32 (.f32 2 (log.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))))
(exp.f32 (.f32 (.f32 2 (log.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) 1))
(log1p.f32 (expm1.f32 (pow.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) 2)))

Outputs
(/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32))))
(+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (.f32 (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2)))) u1))
(+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (.f32 (+.f32 (.f32 (PI.f32) 2) (.f32 2 (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (/.f32 (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2) (PI.f32))))) u1))
(+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (.f32 (.f32 2 (+.f32 (PI.f32) (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)) (PI.f32)))) u1))
(+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (+.f32 (.f32 2 (/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) (.f32 (pow.f32 u1 2) (.f32 (PI.f32) (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2))))))) (cos.f32 (.f32 1/2 (PI.f32))))) (.f32 (-.f32 (.f32 2 (PI.f32)) (.f32 -2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)))) u1)))
(+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (fma.f32 2 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 (cos.f32 (.f32 1/2 (PI.f32))) (.f32 (.f32 (.f32 u1 u1) (PI.f32)) (+.f32 (.f32 (PI.f32) 2) (.f32 2 (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (/.f32 (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)))))))) (.f32 (+.f32 (.f32 (PI.f32) 2) (.f32 2 (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (/.f32 (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32))))) u1)))
(+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (fma.f32 2 (.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (.f32 (PI.f32) (.f32 (.f32 2 (+.f32 (PI.f32) (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2)) (PI.f32)))) (.f32 u1 u1)))) (.f32 (.f32 2 (+.f32 (PI.f32) (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 1/2 (PI.f32))) 2)) (PI.f32)))) 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 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (fma.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (fma.f32 4/3 (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (/.f32 (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (PI.f32) 3))) (fma.f32 -4 (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (/.f32 (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2) (.f32 (+.f32 (.f32 (PI.f32) 2) (.f32 2 (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (/.f32 (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32))))) (pow.f32 (PI.f32) 2)))) (.f32 (.f32 -2 (pow.f32 (PI.f32) 2)) (+.f32 (.f32 (PI.f32) 2) (.f32 2 (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (/.f32 (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32))))))))) (pow.f32 u1 3) (fma.f32 2 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 (cos.f32 (.f32 1/2 (PI.f32))) (.f32 (.f32 (.f32 u1 u1) (PI.f32)) (+.f32 (.f32 (PI.f32) 2) (.f32 2 (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (/.f32 (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32)))))))) (.f32 (+.f32 (.f32 (PI.f32) 2) (.f32 2 (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (/.f32 (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2) (PI.f32))))) u1))))
(+.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (fma.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (fma.f32 4/3 (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (/.f32 (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (PI.f32) 3))) (fma.f32 -4 (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2)) (.f32 (.f32 2 (+.f32 (PI.f32) (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2)) (PI.f32)))) (pow.f32 (PI.f32) 2))) (.f32 -2 (.f32 (.f32 2 (+.f32 (PI.f32) (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2)) (PI.f32)))) (pow.f32 (PI.f32) 2)))))) (pow.f32 u1 3) (fma.f32 2 (.f32 (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32)))) (.f32 (PI.f32) (.f32 (.f32 2 (+.f32 (PI.f32) (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2)) (PI.f32)))) (.f32 u1 u1)))) (.f32 (.f32 2 (+.f32 (PI.f32) (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 1/2 (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 1/2 (PI.f32))) 2)) (PI.f32)))) u1))))
(/.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))
(/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (cos.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(/.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))
(/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (cos.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(/.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))
(/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (cos.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(/.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))
(/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (cos.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(/.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))
(/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (cos.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(/.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))
(/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (cos.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(/.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))
(/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (cos.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(/.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))
(/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (cos.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 2)))
(.f32 (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2) (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2)) (/.f32 (.f32 alphay alphay) (*.f32 alphax alphax)))
(.f32 (pow.f32 (/.f32 alphay alphax) 2) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2)))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 2)))
(.f32 (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2) (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2)) (/.f32 (.f32 alphay alphay) (*.f32 alphax alphax)))
(.f32 (pow.f32 (/.f32 alphay alphax) 2) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2)))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 2)))
(.f32 (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2) (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2)) (/.f32 (.f32 alphay alphay) (*.f32 alphax alphax)))
(.f32 (pow.f32 (/.f32 alphay alphax) 2) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2)))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 2)))
(.f32 (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2) (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2)) (/.f32 (.f32 alphay alphay) (*.f32 alphax alphax)))
(.f32 (pow.f32 (/.f32 alphay alphax) 2) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2)))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 2)))
(.f32 (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2) (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2)) (/.f32 (.f32 alphay alphay) (*.f32 alphax alphax)))
(.f32 (pow.f32 (/.f32 alphay alphax) 2) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2)))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 2)))
(.f32 (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2) (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2)) (/.f32 (.f32 alphay alphay) (*.f32 alphax alphax)))
(.f32 (pow.f32 (/.f32 alphay alphax) 2) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2)))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 2)))
(.f32 (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2) (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2)) (/.f32 (.f32 alphay alphay) (*.f32 alphax alphax)))
(.f32 (pow.f32 (/.f32 alphay alphax) 2) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2)))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 2)))
(.f32 (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2) (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2)) (/.f32 (.f32 alphay alphay) (*.f32 alphax alphax)))
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(pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(/.f32 (.f32 (/.f32 alphay alphax) (pow.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 2)) (/.f32 alphax alphay))
(pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(/.f32 (.f32 (.f32 alphay alphay) (pow.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 2)) (.f32 alphax alphax))
(pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(/.f32 (.f32 (neg.f32 alphay) (pow.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 2)) (*.f32 (/.f32 alphax alphay) (neg.f32 alphax)))
(pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(/.f32 (.f32 (.f32 (neg.f32 alphay) (neg.f32 alphay)) (pow.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 2)) (.f32 (neg.f32 alphax) (neg.f32 alphax)))
(pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(/.f32 (.f32 (.f32 alphay (/.f32 alphay alphax)) (pow.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) 2)) alphax)
(pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(/.f32 (.f32 (.f32 (/.f32 alphay alphax) (neg.f32 alphay)) (pow.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) 2)) (neg.f32 alphax))
(pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(/.f32 (.f32 (.f32 alphay (neg.f32 alphay)) (pow.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 2)) (.f32 alphax (neg.f32 alphax)))
(pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(/.f32 (.f32 (.f32 (neg.f32 alphay) alphay) (pow.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 2)) (.f32 (neg.f32 alphax) alphax))
(pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(/.f32 (.f32 (.f32 (neg.f32 alphay) 1) (pow.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 2)) (.f32 (/.f32 alphax alphay) (neg.f32 alphax)))
(pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(/.f32 (.f32 (.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) (pow.f32 (/.f32 alphay alphax) 2)) (.f32 (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (cos.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))
(.f32 (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2) (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2)) (/.f32 (.f32 alphay alphay) (*.f32 alphax alphax)))
(.f32 (pow.f32 (/.f32 alphay alphax) 2) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2)))
(/.f32 (.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) (pow.f32 (/.f32 alphay alphax) 2)) (cos.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (cos.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))) (/.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) (/.f32 alphax alphay)))
(.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (pow.f32 (/.f32 alphay alphax) 2)) (cos.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(/.f32 (/.f32 (.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay)) 1) (.f32 alphax alphax))
(pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(/.f32 (/.f32 (.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay)) (sqrt.f32 alphax)) (.f32 (sqrt.f32 alphax) alphax))
(pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(/.f32 (/.f32 (.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay)) (pow.f32 (cbrt.f32 alphax) 2)) (.f32 (cbrt.f32 alphax) alphax))
(pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(/.f32 (/.f32 (.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay)) (.f32 alphax (sqrt.f32 alphax))) (sqrt.f32 alphax))
(pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(/.f32 (/.f32 (.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay)) (.f32 (pow.f32 (cbrt.f32 alphax) 2) (pow.f32 (cbrt.f32 alphax) 2))) (pow.f32 (cbrt.f32 alphax) 2))
(pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(/.f32 (/.f32 (.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay)) (.f32 alphax (pow.f32 (cbrt.f32 alphax) 2))) (cbrt.f32 alphax))
(pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(/.f32 (/.f32 (.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay)) 1) alphax)
(pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(/.f32 (/.f32 (.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay)) (sqrt.f32 alphax)) (sqrt.f32 alphax))
(pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(/.f32 (/.f32 (.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay)) (cbrt.f32 alphax)) (pow.f32 (cbrt.f32 alphax) 2))
(pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(/.f32 (/.f32 (.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay)) (pow.f32 (cbrt.f32 alphax) 2)) (cbrt.f32 alphax))
(pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(sqrt.f32 (pow.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) 4))
(sqrt.f32 (pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 4))
(fabs.f32 (pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2))
(log.f32 (exp.f32 (pow.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) 2)))
(pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) 2))))
(pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(cbrt.f32 (pow.f32 (pow.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) 2) 3))
(pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(expm1.f32 (log1p.f32 (pow.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) 2)))
(pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(exp.f32 (.f32 2 (log.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))))
(pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(exp.f32 (.f32 (.f32 2 (log.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) 1))
(pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)
(log1p.f32 (expm1.f32 (pow.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) 2)))
(pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2)

localize206.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))
✓	0.4b	(*.f32 (fma.f32 2 u1 1/2) (PI.f32))
✓	0.6b	(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))))
	12.2b	(tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))

Compiler

Compiled 288 to 189 computations (34.4% saved)

series13.0ms (0%)

Counts

3 → 84

Calls

21 calls:

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

rewrite115.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1896×	`associate-*r/`
1532×	`associate-*l/`
444×	`add-sqr-sqrt`
432×	`pow1`
432×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	103
1	432	103
2	5317	103

Stop Event

1×	node limit

Counts

3 → 181

Calls

Call 1

Inputs

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

(*.f32 (fma.f32 2 u1 1/2) (PI.f32))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (neg.f32 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (*.f32 (neg.f32 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) 2) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (neg.f32 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 (+.f32 1 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (-.f32 1 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 1 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (-.f32 1 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))))) (sqrt.f32 (-.f32 1 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (-.f32 1 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))))) (pow.f32 (cbrt.f32 (-.f32 1 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (-.f32 1 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))))) 2) (cbrt.f32 (-.f32 1 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 1 (pow.f32 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))) 2)) (/.f32 1 (+.f32 1 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 1 (pow.f32 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))) 3)) (/.f32 1 (+.f32 1 (+.f32 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 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simplify161.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1660×	`distribute-lft-in`
1638×	`distribute-rgt-in`
818×	`associate-/l*`
620×	`associate-r`
550×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	544	17371
1	1359	17233
2	5286	17233

Stop Event

1×	node limit

Counts

265 → 262

Calls

Call 1

Inputs
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
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(/.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 1) alphax)
(/.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) (sqrt.f32 alphax)) (sqrt.f32 alphax))
(/.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) (pow.f32 (cbrt.f32 alphax) 2)) (cbrt.f32 alphax))
(/.f32 (.f32 (neg.f32 alphay) (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) (.f32 (neg.f32 alphax) (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))
(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 1) (.f32 (/.f32 alphax alphay) (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))
(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 1) (.f32 (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphax alphay)))
(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) (.f32 (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (neg.f32 alphay)) (.f32 (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (neg.f32 alphax)))
(/.f32 (neg.f32 (.f32 alphay (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (neg.f32 alphax))
(/.f32 (.f32 1 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))
(/.f32 (.f32 1 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (neg.f32 alphay))) (neg.f32 alphax))
(/.f32 (.f32 1 (.f32 alphay (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (.f32 alphax (cos.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))
(/.f32 (.f32 1 (.f32 (neg.f32 alphay) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (neg.f32 alphax))
(/.f32 (.f32 1 (.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))) (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))
(/.f32 (.f32 1 (/.f32 (.f32 alphay (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 1)) alphax)
(/.f32 (.f32 1 (/.f32 (.f32 alphay (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))) (sqrt.f32 alphax))) (sqrt.f32 alphax))
(/.f32 (.f32 1 (/.f32 (.f32 alphay (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))) (pow.f32 (cbrt.f32 alphax) 2))) (cbrt.f32 alphax))
(/.f32 (.f32 1 (.f32 (neg.f32 alphay) (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (.f32 (neg.f32 alphax) (cos.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))
(/.f32 (.f32 1 (.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 1)) (.f32 (cos.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphax alphay)))
(/.f32 (.f32 1 (.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay)) (.f32 (cos.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphax))
(/.f32 (.f32 1 (.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (neg.f32 alphay))) (.f32 (cos.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (neg.f32 alphax)))
(/.f32 (.f32 1 (neg.f32 (.f32 alphay (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (neg.f32 alphax))
(/.f32 (.f32 (/.f32 alphay alphax) (neg.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (neg.f32 (cos.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))
(/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (sqrt.f32 alphay)) (/.f32 alphax (sqrt.f32 alphay)))
(/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (pow.f32 (cbrt.f32 alphay) 2)) (/.f32 alphax (cbrt.f32 alphay)))
(/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay 1)) alphax)
(/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay (sqrt.f32 alphax))) (sqrt.f32 alphax))
(/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay (pow.f32 (cbrt.f32 alphax) 2))) (cbrt.f32 alphax))
(/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) -1) (neg.f32 (/.f32 alphax alphay)))
(/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (neg.f32 (neg.f32 alphay))) (neg.f32 (neg.f32 alphax)))
(/.f32 (.f32 (sqrt.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (sqrt.f32 (.f32 alphay (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (sqrt.f32 alphax))
(/.f32 (.f32 (pow.f32 (cbrt.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) 2) (cbrt.f32 (.f32 alphay (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (cbrt.f32 alphax))
(/.f32 (.f32 (.f32 alphay (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 1) alphax)
(/.f32 (.f32 (.f32 alphay (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 1) (/.f32 alphax 1))
(/.f32 (.f32 (.f32 alphay (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))) (/.f32 1 (sqrt.f32 alphax))) (sqrt.f32 alphax))
(/.f32 (.f32 (.f32 alphay (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))) (/.f32 1 (pow.f32 (cbrt.f32 alphax) 2))) (cbrt.f32 alphax))
(/.f32 (.f32 (.f32 alphay (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))) -1) (neg.f32 alphax))
(/.f32 (.f32 (.f32 (/.f32 alphay alphax) (sqrt.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (sqrt.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (sqrt.f32 (cos.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))
(/.f32 (.f32 (.f32 (/.f32 alphay alphax) (pow.f32 (cbrt.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2)) (cbrt.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (cbrt.f32 (cos.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))
(/.f32 (.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (sqrt.f32 (/.f32 alphay alphax))) 1) (sqrt.f32 (/.f32 alphax alphay)))
(/.f32 (.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (sqrt.f32 (/.f32 alphay alphax))) (sqrt.f32 alphay)) (sqrt.f32 alphax))
(/.f32 (.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (sqrt.f32 (/.f32 alphay alphax))) (sqrt.f32 (neg.f32 alphay))) (sqrt.f32 (neg.f32 alphax)))
(/.f32 (.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (pow.f32 (cbrt.f32 (/.f32 alphay alphax)) 2)) 1) (cbrt.f32 (/.f32 alphax alphay)))
(/.f32 (.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (pow.f32 (cbrt.f32 (/.f32 alphay alphax)) 2)) (cbrt.f32 alphay)) (cbrt.f32 alphax))
(/.f32 (.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (pow.f32 (cbrt.f32 (/.f32 alphay alphax)) 2)) (cbrt.f32 (neg.f32 alphay))) (cbrt.f32 (neg.f32 alphax)))
(/.f32 (.f32 (/.f32 alphay 1) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) alphax)
(/.f32 (.f32 (/.f32 alphay (sqrt.f32 alphax)) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) (sqrt.f32 alphax))
(/.f32 (.f32 (/.f32 alphay (pow.f32 (cbrt.f32 alphax) 2)) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) (cbrt.f32 alphax))
(/.f32 (.f32 (pow.f32 (cbrt.f32 alphay) 2) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) (/.f32 alphax (cbrt.f32 alphay)))
(/.f32 (.f32 -1 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) (neg.f32 (/.f32 alphax alphay)))
(/.f32 (.f32 (neg.f32 (neg.f32 alphay)) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) (neg.f32 (neg.f32 alphax)))
(/.f32 (.f32 (neg.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) (/.f32 alphay alphax)) (neg.f32 (cos.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))
(/.f32 (.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 1) (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))
(/.f32 (.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (neg.f32 alphay)) 1) (neg.f32 alphax))
(/.f32 (.f32 (.f32 alphay (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 1) (.f32 alphax (cos.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))
(/.f32 (.f32 (.f32 (neg.f32 alphay) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 1) (neg.f32 alphax))
(/.f32 (.f32 (.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) 1) (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))
(/.f32 (.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 1) 1) alphax)
(/.f32 (.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))) (sqrt.f32 alphax)) 1) (sqrt.f32 alphax))
(/.f32 (.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))) (pow.f32 (cbrt.f32 alphax) 2)) 1) (cbrt.f32 alphax))
(/.f32 (.f32 (.f32 (neg.f32 alphay) (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 1) (.f32 (neg.f32 alphax) (cos.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))
(/.f32 (.f32 (.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 1) 1) (.f32 (cos.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphax alphay)))
(/.f32 (.f32 (.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) 1) (.f32 (cos.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (neg.f32 alphay)) 1) (.f32 (cos.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (neg.f32 alphax)))
(/.f32 (.f32 (neg.f32 (.f32 alphay (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))) 1) (neg.f32 alphax))
(/.f32 (.f32 (sqrt.f32 (.f32 alphay (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (sqrt.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (sqrt.f32 alphax))
(/.f32 (.f32 1 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (sqrt.f32 (/.f32 alphay alphax)))) (sqrt.f32 (/.f32 alphax alphay)))
(/.f32 (.f32 (sqrt.f32 alphay) (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (sqrt.f32 (/.f32 alphay alphax)))) (sqrt.f32 alphax))
(/.f32 (.f32 (sqrt.f32 (neg.f32 alphay)) (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (sqrt.f32 (/.f32 alphay alphax)))) (sqrt.f32 (neg.f32 alphax)))
(/.f32 (.f32 (sqrt.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) (.f32 (sqrt.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) (/.f32 alphay alphax))) (sqrt.f32 (cos.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))
(/.f32 (.f32 (cbrt.f32 (.f32 alphay (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (pow.f32 (cbrt.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))) 2)) (cbrt.f32 alphax))
(/.f32 (.f32 (.f32 alphay (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) (/.f32 1 alphax)) (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))
(/.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (sqrt.f32 alphax))) (sqrt.f32 alphax))
(/.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (cbrt.f32 alphax))) (pow.f32 (cbrt.f32 alphax) 2))
(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 1)
(pow.f32 (sqrt.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) 2)
(pow.f32 (cbrt.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) 3)
(pow.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 3) 1/3)
(sqrt.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2))
(log.f32 (pow.f32 (exp.f32 (/.f32 alphay alphax)) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))
(cbrt.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 3))
(cbrt.f32 (.f32 (pow.f32 (/.f32 alphay alphax) 3) (pow.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 3)))
(cbrt.f32 (.f32 (pow.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 3) (pow.f32 (/.f32 alphay alphax) 3)))
(expm1.f32 (log1p.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(exp.f32 (log.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(exp.f32 (.f32 (log.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))) 1))
(log1p.f32 (expm1.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))

Outputs
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))))
(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))))
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(/.f32 (.f32 (.f32 (neg.f32 alphay) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 1) (neg.f32 alphax))
(.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))
(/.f32 (.f32 (.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) 1) (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))
(.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay (.f32 alphax (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(/.f32 (.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 1) 1) alphax)
(.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))
(/.f32 (.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))) (sqrt.f32 alphax)) 1) (sqrt.f32 alphax))
(.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))
(/.f32 (.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))) (pow.f32 (cbrt.f32 alphax) 2)) 1) (cbrt.f32 alphax))
(.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))
(/.f32 (.f32 (.f32 (neg.f32 alphay) (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 1) (.f32 (neg.f32 alphax) (cos.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))
(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))
(.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay (.f32 alphax (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(/.f32 (.f32 (.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 1) 1) (.f32 (cos.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphax alphay)))
(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))
(.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay (.f32 alphax (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(/.f32 (.f32 (.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) 1) (.f32 (cos.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))
(.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay (.f32 alphax (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(/.f32 (.f32 (.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (neg.f32 alphay)) 1) (.f32 (cos.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (neg.f32 alphax)))
(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))
(.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay (.f32 alphax (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(/.f32 (.f32 (neg.f32 (.f32 alphay (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))) 1) (neg.f32 alphax))
(.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))
(/.f32 (.f32 (sqrt.f32 (.f32 alphay (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (sqrt.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (sqrt.f32 alphax))
(/.f32 (sqrt.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay)) (/.f32 (sqrt.f32 alphax) (sqrt.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))))
(.f32 (/.f32 (sqrt.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay)) (sqrt.f32 alphax)) (sqrt.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))
(/.f32 (.f32 1 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (sqrt.f32 (/.f32 alphay alphax)))) (sqrt.f32 (/.f32 alphax alphay)))
(/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (sqrt.f32 (/.f32 alphay alphax))) (sqrt.f32 (/.f32 alphax alphay)))
(/.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 (sqrt.f32 (/.f32 alphax alphay)) (sqrt.f32 (/.f32 alphay alphax))))
(/.f32 (.f32 (sqrt.f32 alphay) (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (sqrt.f32 (/.f32 alphay alphax)))) (sqrt.f32 alphax))
(/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (sqrt.f32 (/.f32 alphay alphax))) (/.f32 (sqrt.f32 alphax) (sqrt.f32 alphay)))
(.f32 (/.f32 (sqrt.f32 alphay) (sqrt.f32 alphax)) (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (sqrt.f32 (/.f32 alphay alphax))))
(/.f32 (.f32 (sqrt.f32 (neg.f32 alphay)) (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (sqrt.f32 (/.f32 alphay alphax)))) (sqrt.f32 (neg.f32 alphax)))
(/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (sqrt.f32 (/.f32 alphay alphax))) (/.f32 (sqrt.f32 (neg.f32 alphax)) (sqrt.f32 (neg.f32 alphay))))
(.f32 (/.f32 (sqrt.f32 (neg.f32 alphay)) (sqrt.f32 (neg.f32 alphax))) (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (sqrt.f32 (/.f32 alphay alphax))))
(/.f32 (.f32 (sqrt.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) (.f32 (sqrt.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) (/.f32 alphay alphax))) (sqrt.f32 (cos.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))
(/.f32 (.f32 (/.f32 alphay alphax) (sqrt.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (/.f32 (sqrt.f32 (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) (sqrt.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(/.f32 (/.f32 alphay alphax) (/.f32 (/.f32 (sqrt.f32 (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) (sqrt.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (sqrt.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(/.f32 (.f32 (cbrt.f32 (.f32 alphay (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (pow.f32 (cbrt.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))) 2)) (cbrt.f32 alphax))
(/.f32 (pow.f32 (cbrt.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))) 2) (/.f32 (cbrt.f32 alphax) (cbrt.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay))))
(.f32 (/.f32 (cbrt.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay)) (cbrt.f32 alphax)) (pow.f32 (cbrt.f32 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))) 2))
(/.f32 (.f32 (.f32 alphay (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) (/.f32 1 alphax)) (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))
(.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay (.f32 alphax (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(/.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (sqrt.f32 alphax))) (sqrt.f32 alphax))
(.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))
(/.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (cbrt.f32 alphax))) (pow.f32 (cbrt.f32 alphax) 2))
(.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))
(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 1)
(.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))
(pow.f32 (sqrt.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) 2)
(.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))
(pow.f32 (cbrt.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) 3)
(.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))
(pow.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 3) 1/3)
(.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))
(sqrt.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2))
(sqrt.f32 (pow.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) 2))
(fabs.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))
(log.f32 (pow.f32 (exp.f32 (/.f32 alphay alphax)) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))
(.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))
(.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))
(cbrt.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 3))
(.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))
(cbrt.f32 (.f32 (pow.f32 (/.f32 alphay alphax) 3) (pow.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 3)))
(.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))
(cbrt.f32 (.f32 (pow.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 3) (pow.f32 (/.f32 alphay alphax) 3)))
(.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))
(expm1.f32 (log1p.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))
(exp.f32 (log.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))
(exp.f32 (.f32 (log.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))) 1))
(.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))
(log1p.f32 (expm1.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))
(.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))

localize177.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(*.f32 (fma.f32 2 u1 1/2) (PI.f32))
✓	0.5b	(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2)
	12.2b	(tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))
✓	12.9b	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))

Compiler

Compiled 226 to 148 computations (34.5% saved)

series5.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite111.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1606×	`associate-/r*`
1228×	`associate-/l*`
420×	`add-sqr-sqrt`
412×	`*-un-lft-identity`
410×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	94
1	413	94
2	5088	94

Stop Event

1×	node limit

Counts

2 → 168

Calls

Call 1

Inputs

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))) (sqrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))) (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) 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(2) ((x /.f32 (/.f32 (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) (/.f32 -1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))) -1) alphax)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) (/.f32 -1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))) (neg.f32 (sqrt.f32 alphax))) (sqrt.f32 alphax))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) (/.f32 -1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))) (neg.f32 (pow.f32 (cbrt.f32 alphax) 2))) (cbrt.f32 alphax))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) 1) alphax)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) (sqrt.f32 alphax)) (sqrt.f32 alphax))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) (cbrt.f32 alphax)) (pow.f32 (cbrt.f32 alphax) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) (pow.f32 (cbrt.f32 alphax) 2)) (cbrt.f32 alphax))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (/.f32 -1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) 1) (neg.f32 alphax))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (/.f32 -1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) (sqrt.f32 alphax)) (neg.f32 (sqrt.f32 alphax)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (/.f32 -1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay 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(tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))) alphax) (neg.f32 alphax))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (/.f32 -1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))) (neg.f32 alphax)) alphax)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (/.f32 -1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) 1) (neg.f32 alphax)) (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) 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(#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2)))))))

simplify149.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1178×	`times-frac`
1168×	`associate-/l*`
896×	`distribute-rgt-in`
896×	`distribute-lft-in`
840×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	425	16860
1	1066	16118
2	6351	16118

Stop Event

1×	node limit

Counts

240 → 196

Calls

Call 1

Inputs
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 2))
(/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 2))
(/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 2))
(/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 2))
(/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 2))
(/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 2))
(/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 2))
(/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 2))
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(/.f32 (/.f32 (.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) 1) (neg.f32 alphax))
(/.f32 (/.f32 (.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) (sqrt.f32 alphax)) (neg.f32 (sqrt.f32 alphax)))
(/.f32 (/.f32 (.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) (pow.f32 (cbrt.f32 alphax) 2)) (neg.f32 (cbrt.f32 alphax)))
(/.f32 (/.f32 (.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) (sqrt.f32 (neg.f32 alphax))) (sqrt.f32 (neg.f32 alphax)))
(/.f32 (/.f32 (.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) (.f32 (cbrt.f32 (neg.f32 alphax)) (cbrt.f32 (neg.f32 alphax)))) (cbrt.f32 (neg.f32 alphax)))
(/.f32 (/.f32 (.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) -1) alphax)
(/.f32 (/.f32 (.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) (neg.f32 (sqrt.f32 alphax))) (sqrt.f32 alphax))
(/.f32 (/.f32 (.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) (neg.f32 (pow.f32 (cbrt.f32 alphax) 2))) (cbrt.f32 alphax))
(/.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))) alphax) (neg.f32 alphax))
(/.f32 (/.f32 (.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))) (neg.f32 alphax)) alphax)
(/.f32 (/.f32 (.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) 1) (neg.f32 alphax)) (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))
(sqrt.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 4))
(log.f32 (exp.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2))))
(cbrt.f32 (pow.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2)))
(exp.f32 (.f32 2 (log.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax))))
(exp.f32 (.f32 (.f32 2 (log.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax))) 1))
(log1p.f32 (expm1.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2)))

Outputs
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))
(cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax)))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))
(/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 2))
(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) alphax) 2)
(/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 2))
(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) alphax) 2)
(/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 2))
(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) alphax) 2)
(/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 2))
(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) alphax) 2)
(/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 2))
(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) alphax) 2)
(/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 2))
(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) alphax) 2)
(/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 2))
(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) alphax) 2)
(/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 2))
(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) alphax) 2)
(/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 2))
(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) alphax) 2)
(/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 2))
(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) alphax) 2)
(/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 2))
(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) alphax) 2)
(/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 2))
(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) alphax) 2)
(/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphax 2))
(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) alphax) 2)
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(/.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) (sqrt.f32 alphax)) (sqrt.f32 alphax))
(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) alphax) 2)
(/.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) (cbrt.f32 alphax)) (pow.f32 (cbrt.f32 alphax) 2))
(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) alphax) 2)
(/.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) (pow.f32 (cbrt.f32 alphax) 2)) (cbrt.f32 alphax))
(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) alphax) 2)
(/.f32 (/.f32 (.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) 1) (neg.f32 alphax))
(.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) alphax) (/.f32 (/.f32 -1 (hypot.f32 1 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) (neg.f32 alphax)))
(/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) (.f32 (hypot.f32 1 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))) (.f32 alphax alphax)))
(/.f32 (/.f32 (.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) (sqrt.f32 alphax)) (neg.f32 (sqrt.f32 alphax)))
(.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) alphax) (/.f32 (/.f32 -1 (hypot.f32 1 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) (neg.f32 alphax)))
(/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) (.f32 (hypot.f32 1 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))) (.f32 alphax alphax)))
(/.f32 (/.f32 (.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) (pow.f32 (cbrt.f32 alphax) 2)) (neg.f32 (cbrt.f32 alphax)))
(.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) alphax) (/.f32 (/.f32 -1 (hypot.f32 1 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) (neg.f32 alphax)))
(/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) (.f32 (hypot.f32 1 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))) (.f32 alphax alphax)))
(/.f32 (/.f32 (.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) (sqrt.f32 (neg.f32 alphax))) (sqrt.f32 (neg.f32 alphax)))
(.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) alphax) (/.f32 (/.f32 -1 (hypot.f32 1 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) (neg.f32 alphax)))
(/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) (.f32 (hypot.f32 1 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))) (.f32 alphax alphax)))
(/.f32 (/.f32 (.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) (.f32 (cbrt.f32 (neg.f32 alphax)) (cbrt.f32 (neg.f32 alphax)))) (cbrt.f32 (neg.f32 alphax)))
(.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) alphax) (/.f32 (/.f32 -1 (hypot.f32 1 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) (neg.f32 alphax)))
(/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) (.f32 (hypot.f32 1 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))) (.f32 alphax alphax)))
(/.f32 (/.f32 (.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) -1) alphax)
(.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) alphax) (/.f32 (/.f32 -1 (hypot.f32 1 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) (neg.f32 alphax)))
(/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) (.f32 (hypot.f32 1 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))) (.f32 alphax alphax)))
(/.f32 (/.f32 (.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) (neg.f32 (sqrt.f32 alphax))) (sqrt.f32 alphax))
(.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) alphax) (/.f32 (/.f32 -1 (hypot.f32 1 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) (neg.f32 alphax)))
(/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) (.f32 (hypot.f32 1 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))) (.f32 alphax alphax)))
(/.f32 (/.f32 (.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) (neg.f32 (pow.f32 (cbrt.f32 alphax) 2))) (cbrt.f32 alphax))
(.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) alphax) (/.f32 (/.f32 -1 (hypot.f32 1 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) (neg.f32 alphax)))
(/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) (.f32 (hypot.f32 1 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))) (.f32 alphax alphax)))
(/.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))) alphax) (neg.f32 alphax))
(.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) alphax) (/.f32 (/.f32 -1 (hypot.f32 1 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) (neg.f32 alphax)))
(/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) (.f32 (hypot.f32 1 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))) (.f32 alphax alphax)))
(/.f32 (/.f32 (.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))) (neg.f32 alphax)) alphax)
(.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) alphax) (/.f32 (/.f32 -1 (hypot.f32 1 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) (neg.f32 alphax)))
(/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) (.f32 (hypot.f32 1 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))) (.f32 alphax alphax)))
(/.f32 (/.f32 (.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) 1) (neg.f32 alphax)) (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))
(.f32 (/.f32 1 (.f32 alphax (.f32 (hypot.f32 1 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))) (neg.f32 alphax)))) (/.f32 -1 (hypot.f32 1 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))))
(/.f32 (/.f32 (/.f32 -1 (hypot.f32 1 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) (.f32 alphax (hypot.f32 1 (.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))) (neg.f32 alphax))
(sqrt.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 4))
(sqrt.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) alphax) 4))
(log.f32 (exp.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2)))
(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) alphax) 2)
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2))))
(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) alphax) 2)
(cbrt.f32 (pow.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2) 3))
(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) alphax) 2)
(expm1.f32 (log1p.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2)))
(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) alphax) 2)
(exp.f32 (.f32 2 (log.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax))))
(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) alphax) 2)
(exp.f32 (.f32 (.f32 2 (log.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax))) 1))
(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) alphax) 2)
(log1p.f32 (expm1.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2)))
(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) alphax) 2)

localize193.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))) alphay) 2) (-.f32 1 u0)))
✓	0.5b	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))) alphay) 2)
✓	9.0b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))
✓	31.7b	(tan.f32 (*.f32 1/2 (PI.f32)))

Compiler

Compiled 185 to 121 computations (34.6% saved)

series42.0ms (0.2%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
16.0ms	alphax	@	inf	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))) alphay) 2)
3.0ms	alphax	@	-inf	(/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))) alphay) 2) (-.f32 1 u0)))
2.0ms	alphay	@	0	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))
2.0ms	alphax	@	-inf	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))) alphay) 2)
2.0ms	alphay	@	-inf	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))) alphay) 2)

rewrite117.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1260×	`associate-/r/`
472×	`add-sqr-sqrt`
460×	`*-un-lft-identity`
458×	`pow1`
434×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	146
1	465	146
2	6060	146

Stop Event

1×	node limit

Counts

4 → 187

Calls

Call 1

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

Outputs
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egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) (-.f32 1 u0))))))))

simplify158.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

766×	`associate-*r/`
684×	`associate-*l/`
656×	`times-frac`
650×	`associate-/l*`
626×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	508	16265
1	1457	15815
2	6934	15539

Stop Event

1×	node limit

Counts

271 → 260

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 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
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(.f32 (/.f32 1 (/.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2) (-.f32 1 u0)) (sqrt.f32 u0))) (sqrt.f32 u0))
(.f32 (/.f32 1 (/.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2) (-.f32 1 u0)) (cbrt.f32 (*.f32 u0 u0)))) (cbrt.f32 u0))
(.f32 (/.f32 (cbrt.f32 (.f32 u0 u0)) (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2) (-.f32 1 u0))) (cbrt.f32 u0))
(.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) (-.f32 1 (.f32 (neg.f32 u0) (neg.f32 u0)))) (+.f32 u0 1))
(.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) (+.f32 1 (pow.f32 (neg.f32 u0) 3))) (-.f32 (+.f32 1 (.f32 (neg.f32 u0) (neg.f32 u0))) (neg.f32 u0)))
(.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) (neg.f32 (-.f32 1 (.f32 u0 u0)))) (neg.f32 (+.f32 u0 1)))
(.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) (neg.f32 (-.f32 1 (pow.f32 u0 3)))) (neg.f32 (+.f32 1 (fma.f32 u0 u0 u0))))
(.f32 (/.f32 (/.f32 u0 1) (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2) (-.f32 1 (*.f32 u0 u0)))) (+.f32 u0 1))
(.f32 (/.f32 (/.f32 u0 1) (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2) (-.f32 1 (pow.f32 u0 3)))) (+.f32 1 (fma.f32 u0 u0 u0)))
(.f32 (/.f32 (/.f32 u0 1) (.f32 (-.f32 1 (.f32 u0 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2))) (+.f32 u0 1))
(.f32 (/.f32 (/.f32 u0 1) (.f32 (-.f32 1 (pow.f32 u0 3)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2))) (+.f32 1 (fma.f32 u0 u0 u0)))
(.f32 (/.f32 (/.f32 u0 (-.f32 1 u0)) (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (.f32 alphay (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))))
(.f32 (/.f32 (/.f32 u0 (-.f32 1 u0)) (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) alphay))
(.f32 (/.f32 (/.f32 u0 (-.f32 1 u0)) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay)) (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))))
(.f32 (/.f32 (/.f32 u0 (-.f32 1 u0)) 1) (/.f32 1 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))
(.f32 (/.f32 (/.f32 u0 (-.f32 1 u0)) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2)) (.f32 alphay alphay))
(.f32 (/.f32 (/.f32 u0 (-.f32 1 u0)) (neg.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))) (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (neg.f32 alphay)))
(.f32 (/.f32 (/.f32 u0 (-.f32 1 u0)) (.f32 (neg.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (neg.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))))) (*.f32 (neg.f32 alphay) (neg.f32 alphay)))
(.f32 (/.f32 (/.f32 u0 (-.f32 1 u0)) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))) alphay)
(.f32 (/.f32 (/.f32 u0 (-.f32 1 u0)) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) (neg.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))))) (neg.f32 alphay))
(.f32 (/.f32 (/.f32 u0 (-.f32 1 u0)) (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay))) alphay)
(.f32 (/.f32 (/.f32 u0 (-.f32 1 u0)) (.f32 (neg.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay))) (neg.f32 alphay))
(.f32 (/.f32 (/.f32 u0 (-.f32 1 u0)) (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) (neg.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))))) (*.f32 alphay (neg.f32 alphay)))
(.f32 (/.f32 (/.f32 u0 (-.f32 1 u0)) (.f32 (neg.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))) (*.f32 (neg.f32 alphay) alphay))
(.f32 (/.f32 (/.f32 u0 (-.f32 1 u0)) (.f32 (neg.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) 1)) (.f32 (neg.f32 alphay) (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))))
(.f32 (/.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) 1) 1) (/.f32 (+.f32 u0 1) (-.f32 1 (.f32 u0 u0))))
(.f32 (/.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) 1) 1) (/.f32 (+.f32 1 (fma.f32 u0 u0 u0)) (-.f32 1 (pow.f32 u0 3))))
(.f32 (/.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) 1) (-.f32 1 (.f32 u0 u0))) (+.f32 u0 1))
(.f32 (/.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) 1) (-.f32 1 (pow.f32 u0 3))) (+.f32 1 (fma.f32 u0 u0 u0)))
(.f32 (/.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) 1) (-.f32 1 (.f32 (neg.f32 u0) (neg.f32 u0)))) (+.f32 u0 1))
(.f32 (/.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) 1) (+.f32 1 (pow.f32 (neg.f32 u0) 3))) (-.f32 (+.f32 1 (.f32 (neg.f32 u0) (neg.f32 u0))) (neg.f32 u0)))
(.f32 (/.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) 1) (neg.f32 (-.f32 1 (.f32 u0 u0)))) (neg.f32 (+.f32 u0 1)))
(.f32 (/.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) 1) (neg.f32 (-.f32 1 (pow.f32 u0 3)))) (neg.f32 (+.f32 1 (fma.f32 u0 u0 u0))))
(.f32 (/.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) (sqrt.f32 (-.f32 1 u0))) (sqrt.f32 (-.f32 1 (pow.f32 u0 3)))) (sqrt.f32 (+.f32 1 (fma.f32 u0 u0 u0))))
(.f32 (/.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) (sqrt.f32 (-.f32 1 u0))) (sqrt.f32 (-.f32 1 (.f32 u0 u0)))) (sqrt.f32 (+.f32 u0 1)))
(.f32 (/.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) (cbrt.f32 (pow.f32 (-.f32 1 u0) 2))) (cbrt.f32 (-.f32 1 (pow.f32 u0 3)))) (cbrt.f32 (+.f32 1 (fma.f32 u0 u0 u0))))
(.f32 (/.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) (cbrt.f32 (pow.f32 (-.f32 1 u0) 2))) (cbrt.f32 (-.f32 1 (.f32 u0 u0)))) (cbrt.f32 (+.f32 u0 1)))
(pow.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) (-.f32 1 u0)) 1)
(pow.f32 (/.f32 (sqrt.f32 u0) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) (sqrt.f32 (-.f32 1 u0)))) 2)
(pow.f32 (cbrt.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) (-.f32 1 u0))) 3)
(pow.f32 (pow.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) (-.f32 1 u0)) 3) 1/3)
(pow.f32 (.f32 (/.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2) u0) (-.f32 1 u0)) -1)
(neg.f32 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2) (neg.f32 (-.f32 1 u0)))))
(sqrt.f32 (pow.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) (-.f32 1 u0)) 2))
(log.f32 (exp.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) (-.f32 1 u0))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) (-.f32 1 u0)))))
(cbrt.f32 (pow.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) (-.f32 1 u0)) 3))
(cbrt.f32 (/.f32 (pow.f32 u0 3) (pow.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2) (-.f32 1 u0)) 3)))
(expm1.f32 (log1p.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) (-.f32 1 u0))))
(exp.f32 (log.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) (-.f32 1 u0))))
(exp.f32 (.f32 (log.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) (-.f32 1 u0))) 1))
(log1p.f32 (expm1.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) (-.f32 1 u0))))

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))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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 (neg.f32 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) (+.f32 -1 u0))
(/.f32 (/.f32 (neg.f32 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) (-.f32 u0 1))
(sqrt.f32 (pow.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) (-.f32 1 u0)) 2))
(sqrt.f32 (pow.f32 (/.f32 u0 (.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2))) 2))
(fabs.f32 (/.f32 u0 (.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2))))
(log.f32 (exp.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) (-.f32 1 u0))))
(/.f32 u0 (.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) (-.f32 1 u0)))))
(/.f32 u0 (.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))
(cbrt.f32 (pow.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) (-.f32 1 u0)) 3))
(/.f32 u0 (.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))
(cbrt.f32 (/.f32 (pow.f32 u0 3) (pow.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2) (-.f32 1 u0)) 3)))
(/.f32 u0 (.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))
(expm1.f32 (log1p.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) (-.f32 1 u0))))
(/.f32 u0 (.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))
(exp.f32 (log.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) (-.f32 1 u0))))
(/.f32 u0 (.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))
(exp.f32 (.f32 (log.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) (-.f32 1 u0))) 1))
(/.f32 u0 (.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))
(log1p.f32 (expm1.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) (-.f32 1 u0))))
(/.f32 u0 (.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))

eval1.5s (5.7%)

Compiler: Compiled 63369 to 44385 computations (30% saved)

prune753.0ms (2.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	1190	8	1198
Fresh	0	0	0
Picked	1	0	1
Done	2	1	3
Total	1193	9	1202

Error

0.2b

Counts

1202 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.6b	(/.f32 1 (sqrt.f32 (+.f32 1 (pow.f32 (/.f32 (sqrt.f32 u0) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) (sqrt.f32 (-.f32 1 u0)))) 2))))
	1.4b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 u0 u0 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))))
	1.7b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))))
▶	16.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2) (-.f32 1 u0))))))
	0.6b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (.f32 2 u1) 1/2)))))))) (.f32 2 (.f32 alphay alphay))) (-.f32 1 u0))))))
▶	0.6b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 2 (.f32 alphay alphay))) (-.f32 1 u0))))))
✓	0.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (/.f32 (/.f32 1 (.f32 alphax alphax)) (+.f32 1 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2)))) (-.f32 1 u0))))))
▶	0.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (+.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) (.f32 2 (.f32 alphay alphay))) (/.f32 (/.f32 1 (.f32 alphax alphax)) (+.f32 1 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2)))) (-.f32 1 u0))))))
▶	9.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 -1 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))))

Compiler

Compiled 628 to 509 computations (18.9% saved)

localize336.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(*.f32 (fma.f32 2 u1 1/2) (PI.f32))
	0.5b	(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2)
	0.6b	(-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))))
	12.2b	(tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))

Compiler

Compiled 500 to 322 computations (35.6% saved)

localize206.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 2 (.f32 alphay alphay))) (-.f32 1 u0))
✓	0.3b	(/.f32 u0 (.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 2 (.f32 alphay alphay))) (-.f32 1 u0)))
	9.0b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))
	31.7b	(tan.f32 (*.f32 1/2 (PI.f32)))

Compiler

Compiled 244 to 160 computations (34.4% saved)

series29.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	alphax	@	-inf	(.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 2 (.f32 alphay alphay))) (-.f32 1 u0))
3.0ms	alphax	@	inf	(.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 2 (.f32 alphay alphay))) (-.f32 1 u0))
2.0ms	alphay	@	inf	(/.f32 u0 (.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 2 (.f32 alphay alphay))) (-.f32 1 u0)))
2.0ms	alphax	@	inf	(/.f32 u0 (.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 2 (.f32 alphay alphay))) (-.f32 1 u0)))
2.0ms	alphax	@	-inf	(/.f32 u0 (.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 2 (.f32 alphay alphay))) (-.f32 1 u0)))

rewrite116.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

558×	`add-sqr-sqrt`
546×	`pow1`
546×	`*-un-lft-identity`
514×	`add-exp-log`
514×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	156
1	541	156
2	7571	156

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

Inputs

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 2 (/.f32 (*.f32 alphay alphay) (-.f32 1 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))))))) (/.f32 u0 (-.f32 1 u0))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u0 (/.f32 (*.f32 2 (/.f32 (*.f32 alphay alphay) (-.f32 1 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))))))) (-.f32 1 u0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 (*.f32 2 (/.f32 (*.f32 alphay alphay) (-.f32 1 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))))))) (/.f32 u0 (-.f32 1 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 2 (/.f32 (*.f32 alphay alphay) (-.f32 1 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))))))) (/.f32 u0 (-.f32 1 u0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u0) (*.f32 (sqrt.f32 u0) (/.f32 (*.f32 2 (/.f32 (*.f32 alphay alphay) (-.f32 1 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))))))) (-.f32 1 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (*.f32 2 (/.f32 (*.f32 alphay alphay) (-.f32 1 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))))))) (/.f32 u0 (-.f32 1 u0)))) (sqrt.f32 (*.f32 (*.f32 2 (/.f32 (*.f32 alphay alphay) (-.f32 1 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))))))) (/.f32 u0 (-.f32 1 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 u0) 2) (*.f32 (cbrt.f32 u0) (/.f32 (*.f32 2 (/.f32 (*.f32 alphay alphay) (-.f32 1 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))))))) (-.f32 1 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (*.f32 2 (/.f32 (*.f32 alphay alphay) (-.f32 1 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))))))) (/.f32 u0 (-.f32 1 u0)))) (cbrt.f32 (pow.f32 (*.f32 (*.f32 2 (/.f32 (*.f32 alphay alphay) (-.f32 1 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))))))) (/.f32 u0 (-.f32 1 u0))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (*.f32 (*.f32 2 (/.f32 (*.f32 alphay alphay) (-.f32 1 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))))))) (/.f32 u0 (-.f32 1 u0))) 2)) (cbrt.f32 (*.f32 (*.f32 2 (/.f32 (*.f32 alphay alphay) (-.f32 1 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))))))) (/.f32 u0 (-.f32 1 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u0 (*.f32 2 (/.f32 (*.f32 alphay alphay) (-.f32 1 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32))))))))))) (/.f32 1 (-.f32 1 u0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 u0) (/.f32 1 (*.f32 (*.f32 1/2 (/.f32 (-.f32 1 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay))) (neg.f32 (-.f32 1 u0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 2 (/.f32 (*.f32 alphay alphay) (-.f32 1 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))))))) (-.f32 1 u0)) u0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (/.f32 (*.f32 alphay alphay) (-.f32 1 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))))))) (/.f32 u0 (-.f32 1 u0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (-.f32 1 u0)) (*.f32 u0 (*.f32 2 (/.f32 (*.f32 alphay alphay) (-.f32 1 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32))))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (/.f32 (sqrt.f32 (*.f32 (-.f32 1 (cos.f32 (*.f32 2 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 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simplify146.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1082×	`unswap-sqr`
704×	`times-frac`
642×	`associate-/l*`
562×	`associate-/r*`
486×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	325	15539
1	1070	15459
2	5120	14957

Stop Event

1×	node limit

Counts

169 → 176

Calls

Call 1

Inputs
(.f32 2 (/.f32 (.f32 u0 (pow.f32 alphay 2)) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphay) alphax)))))))
(+.f32 (.f32 2 (/.f32 (.f32 u0 (pow.f32 alphay 2)) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))))))) (.f32 2 (/.f32 (.f32 (pow.f32 u0 2) (pow.f32 alphay 2)) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))))))))
(+.f32 (.f32 2 (/.f32 (.f32 (pow.f32 u0 3) (pow.f32 alphay 2)) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))))))) (+.f32 (.f32 2 (/.f32 (.f32 u0 (pow.f32 alphay 2)) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))))))) (.f32 2 (/.f32 (.f32 (pow.f32 u0 2) (pow.f32 alphay 2)) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphay) alphax)))))))))
(+.f32 (.f32 2 (/.f32 (.f32 (pow.f32 u0 3) (pow.f32 alphay 2)) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))))))) (+.f32 (.f32 2 (/.f32 (.f32 (pow.f32 u0 4) (pow.f32 alphay 2)) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))))))) (+.f32 (.f32 2 (/.f32 (.f32 u0 (pow.f32 alphay 2)) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))))))) (.f32 2 (/.f32 (.f32 (pow.f32 u0 2) (pow.f32 alphay 2)) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))))))))))
(.f32 -2 (/.f32 (pow.f32 alphay 2) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))))))
(+.f32 (.f32 -2 (/.f32 (pow.f32 alphay 2) (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))))) u0))) (.f32 -2 (/.f32 (pow.f32 alphay 2) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphay) alphax))))))))
(+.f32 (.f32 -2 (/.f32 (pow.f32 alphay 2) (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))))) u0))) (+.f32 (.f32 -2 (/.f32 (pow.f32 alphay 2) (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))))) (pow.f32 u0 2)))) (.f32 -2 (/.f32 (pow.f32 alphay 2) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))))))))
(+.f32 (.f32 -2 (/.f32 (pow.f32 alphay 2) (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))))) u0))) (+.f32 (.f32 -2 (/.f32 (pow.f32 alphay 2) (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))))) (pow.f32 u0 3)))) (+.f32 (.f32 -2 (/.f32 (pow.f32 alphay 2) (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))))) (pow.f32 u0 2)))) (.f32 -2 (/.f32 (pow.f32 alphay 2) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphay) alphax))))))))))
(.f32 -2 (/.f32 (pow.f32 alphay 2) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))))))
(+.f32 (.f32 -2 (/.f32 (pow.f32 alphay 2) (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))))) u0))) (.f32 -2 (/.f32 (pow.f32 alphay 2) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphay) alphax))))))))
(+.f32 (.f32 -2 (/.f32 (pow.f32 alphay 2) (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))))) u0))) (+.f32 (.f32 -2 (/.f32 (pow.f32 alphay 2) (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))))) (pow.f32 u0 2)))) (.f32 -2 (/.f32 (pow.f32 alphay 2) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax)))))))))
(+.f32 (.f32 -2 (/.f32 (pow.f32 alphay 2) (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))))) u0))) (+.f32 (.f32 -2 (/.f32 (pow.f32 alphay 2) (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))))) (pow.f32 u0 3)))) (+.f32 (.f32 -2 (/.f32 (pow.f32 alphay 2) (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))))) (pow.f32 u0 2)))) (.f32 -2 (/.f32 (pow.f32 alphay 2) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphay) alphax))))))))))
(.f32 2 (/.f32 (.f32 u0 (pow.f32 alphay 2)) (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))))) (-.f32 1 u0))))
(.f32 2 (/.f32 (.f32 u0 (pow.f32 alphay 2)) (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))))) (-.f32 1 u0))))
(.f32 2 (/.f32 (.f32 u0 (pow.f32 alphay 2)) (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))))) (-.f32 1 u0))))
(.f32 2 (/.f32 (.f32 u0 (pow.f32 alphay 2)) (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))))) (-.f32 1 u0))))
(.f32 2 (/.f32 (.f32 u0 (pow.f32 alphay 2)) (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))))) (-.f32 1 u0))))
(.f32 2 (/.f32 (.f32 u0 (pow.f32 alphay 2)) (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))))) (-.f32 1 u0))))
(.f32 2 (/.f32 (.f32 u0 (pow.f32 alphay 2)) (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))))) (-.f32 1 u0))))
(.f32 2 (/.f32 (.f32 u0 (pow.f32 alphay 2)) (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))))) (-.f32 1 u0))))
(.f32 2 (/.f32 (.f32 u0 (pow.f32 alphay 2)) (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))))) (-.f32 1 u0))))
(.f32 2 (/.f32 (.f32 u0 (pow.f32 alphay 2)) (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))))) (-.f32 1 u0))))
(.f32 2 (/.f32 (.f32 u0 (pow.f32 alphay 2)) (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))))) (-.f32 1 u0))))
(.f32 2 (/.f32 (.f32 u0 (pow.f32 alphay 2)) (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))))) (-.f32 1 u0))))
(.f32 2 (/.f32 (.f32 u0 (pow.f32 alphay 2)) (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))))) (-.f32 1 u0))))
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(.f32 (/.f32 (pow.f32 (cbrt.f32 u0) 2) (/.f32 (sqrt.f32 (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (-.f32 1 u0))) (.f32 alphay (sqrt.f32 2)))) (/.f32 (cbrt.f32 u0) (/.f32 (sqrt.f32 (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (-.f32 1 u0))) (*.f32 alphay (sqrt.f32 2)))))
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(pow.f32 (.f32 (.f32 2 (/.f32 (.f32 alphay alphay) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))))) (/.f32 u0 (-.f32 1 u0))) 1)
(pow.f32 (sqrt.f32 (.f32 (.f32 2 (/.f32 (.f32 alphay alphay) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))))) (/.f32 u0 (-.f32 1 u0)))) 2)
(pow.f32 (cbrt.f32 (.f32 (.f32 2 (/.f32 (.f32 alphay alphay) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))))) (/.f32 u0 (-.f32 1 u0)))) 3)
(pow.f32 (pow.f32 (.f32 (.f32 2 (/.f32 (.f32 alphay alphay) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))))) (/.f32 u0 (-.f32 1 u0))) 3) 1/3)
(pow.f32 (/.f32 (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 (/.f32 1/2 (.f32 alphay alphay)) (-.f32 1 u0))) u0) -1)
(neg.f32 (/.f32 u0 (.f32 (.f32 1/2 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 alphay alphay))) (neg.f32 (-.f32 1 u0)))))
(sqrt.f32 (pow.f32 (.f32 (.f32 2 (/.f32 (.f32 alphay alphay) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))))) (/.f32 u0 (-.f32 1 u0))) 2))
(log.f32 (exp.f32 (.f32 (.f32 2 (/.f32 (.f32 alphay alphay) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))))) (/.f32 u0 (-.f32 1 u0)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (.f32 2 (/.f32 (.f32 alphay alphay) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))))) (/.f32 u0 (-.f32 1 u0))))))
(cbrt.f32 (pow.f32 (.f32 (.f32 2 (/.f32 (.f32 alphay alphay) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))))) (/.f32 u0 (-.f32 1 u0))) 3))
(cbrt.f32 (/.f32 (pow.f32 u0 3) (pow.f32 (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 (/.f32 1/2 (.f32 alphay alphay)) (-.f32 1 u0))) 3)))
(expm1.f32 (log1p.f32 (.f32 (.f32 2 (/.f32 (.f32 alphay alphay) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))))) (/.f32 u0 (-.f32 1 u0)))))
(exp.f32 (log.f32 (.f32 (.f32 2 (/.f32 (.f32 alphay alphay) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))))) (/.f32 u0 (-.f32 1 u0)))))
(exp.f32 (.f32 (log.f32 (.f32 (.f32 2 (/.f32 (.f32 alphay alphay) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))))))) (/.f32 u0 (-.f32 1 u0)))) 1))
(log1p.f32 (expm1.f32 (.f32 (.f32 2 (/.f32 (.f32 alphay alphay) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))))) (/.f32 u0 (-.f32 1 u0)))))
(+.f32 (.f32 1/2 (/.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 1/2 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay))) (neg.f32 u0)))
(+.f32 (.f32 1/2 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 alphay alphay))) (.f32 (neg.f32 u0) (.f32 1/2 (/.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 (.f32 1/2 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 alphay alphay))) (neg.f32 u0)) (.f32 1/2 (/.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 (neg.f32 u0) (.f32 1/2 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 alphay alphay)))) (.f32 1/2 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 (/.f32 1/2 (.f32 alphay alphay)) (-.f32 1 u0))))) 1)
(/.f32 1 (/.f32 (.f32 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 1 u0))))
(/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (/.f32 (.f32 2 (*.f32 alphay alphay)) (-.f32 1 u0)))
(/.f32 (-.f32 1 u0) (.f32 2 (/.f32 (.f32 alphay alphay) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))))))))
(/.f32 (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (-.f32 1 u0)) (.f32 2 (.f32 alphay alphay)))
(/.f32 (-.f32 1 (.f32 u0 u0)) (.f32 (.f32 2 (/.f32 (.f32 alphay alphay) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))))))) (+.f32 u0 1)))
(/.f32 (-.f32 1 (pow.f32 u0 3)) (.f32 (.f32 2 (/.f32 (.f32 alphay alphay) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))))) (+.f32 1 (fma.f32 u0 u0 u0))))
(/.f32 (.f32 (.f32 1/2 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 alphay alphay))) (-.f32 1 (*.f32 u0 u0))) (+.f32 u0 1))
(/.f32 (.f32 (.f32 1/2 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 alphay alphay))) (-.f32 1 (pow.f32 u0 3))) (+.f32 1 (fma.f32 u0 u0 u0)))
(/.f32 (.f32 (-.f32 1 u0) (-.f32 1/2 (/.f32 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))))) 2))) (*.f32 alphay alphay))
(/.f32 (.f32 (-.f32 1 u0) (neg.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))))) (.f32 (.f32 alphay alphay) -2))
(/.f32 (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (-.f32 1 (.f32 u0 u0))) (.f32 (.f32 2 (.f32 alphay alphay)) (+.f32 u0 1)))
(/.f32 (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (-.f32 1 (pow.f32 u0 3))) (.f32 (.f32 2 (*.f32 alphay alphay)) (+.f32 1 (fma.f32 u0 u0 u0))))
(/.f32 (.f32 (-.f32 1/2 (/.f32 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))))) 2)) (-.f32 1 u0)) (*.f32 alphay alphay))
(/.f32 (.f32 (neg.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))))))) (-.f32 1 u0)) (.f32 (.f32 alphay alphay) -2))
(/.f32 (.f32 (-.f32 1 (.f32 u0 u0)) (.f32 1/2 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) (+.f32 u0 1))
(/.f32 (.f32 (-.f32 1 (pow.f32 u0 3)) (.f32 1/2 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 alphay alphay)))) (+.f32 1 (fma.f32 u0 u0 u0)))
(/.f32 (/.f32 (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (-.f32 1 u0)) 1) (.f32 2 (.f32 alphay alphay)))
(/.f32 (/.f32 (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (-.f32 1 u0)) 2) (*.f32 alphay alphay))
(/.f32 (/.f32 (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (-.f32 1 u0)) (*.f32 alphay alphay)) 2)
(/.f32 (/.f32 (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (-.f32 1 u0)) (.f32 alphay (sqrt.f32 2))) (.f32 alphay (sqrt.f32 2)))
(/.f32 (/.f32 (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (-.f32 1 u0)) (cbrt.f32 (.f32 4 (pow.f32 alphay 4)))) (cbrt.f32 (.f32 2 (*.f32 alphay alphay))))
(/.f32 (/.f32 (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (-.f32 1 u0)) (*.f32 2 alphay)) alphay)
(/.f32 (neg.f32 (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (-.f32 1 u0))) (.f32 (.f32 alphay alphay) -2))
(/.f32 (.f32 (-.f32 1/2 (/.f32 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))))) 2)) (-.f32 1 (.f32 u0 u0))) (.f32 (*.f32 alphay alphay) (+.f32 u0 1)))
(/.f32 (.f32 (-.f32 1/2 (/.f32 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))))) 2)) (-.f32 1 (pow.f32 u0 3))) (.f32 (.f32 alphay alphay) (+.f32 1 (fma.f32 u0 u0 u0))))
(/.f32 (.f32 (neg.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))))))) (-.f32 1 (.f32 u0 u0))) (.f32 (.f32 (.f32 alphay alphay) -2) (+.f32 u0 1)))
(/.f32 (.f32 (neg.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))))))) (-.f32 1 (pow.f32 u0 3))) (.f32 (.f32 (*.f32 alphay alphay) -2) (+.f32 1 (fma.f32 u0 u0 u0))))
(/.f32 (.f32 (-.f32 1 (.f32 u0 u0)) 1) (.f32 (+.f32 u0 1) (.f32 2 (/.f32 (.f32 alphay alphay) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))))))))))
(/.f32 (.f32 (-.f32 1 (.f32 u0 u0)) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))))))) (.f32 (+.f32 u0 1) (.f32 2 (.f32 alphay alphay))))
(/.f32 (.f32 (-.f32 1 (.f32 u0 u0)) (-.f32 1/2 (/.f32 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))))) 2))) (.f32 (+.f32 u0 1) (*.f32 alphay alphay)))
(/.f32 (.f32 (-.f32 1 (.f32 u0 u0)) (neg.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))))) (.f32 (+.f32 u0 1) (.f32 (.f32 alphay alphay) -2)))
(/.f32 (.f32 (-.f32 1 (pow.f32 u0 3)) 1) (.f32 (+.f32 1 (fma.f32 u0 u0 u0)) (.f32 2 (/.f32 (.f32 alphay alphay) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32))))))))))))
(/.f32 (.f32 (-.f32 1 (pow.f32 u0 3)) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))))))) (.f32 (+.f32 1 (fma.f32 u0 u0 u0)) (.f32 2 (*.f32 alphay alphay))))
(/.f32 (.f32 (-.f32 1 (pow.f32 u0 3)) (-.f32 1/2 (/.f32 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))))) 2))) (.f32 (+.f32 1 (fma.f32 u0 u0 u0)) (.f32 alphay alphay)))
(/.f32 (.f32 (-.f32 1 (pow.f32 u0 3)) (neg.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))))) (.f32 (+.f32 1 (fma.f32 u0 u0 u0)) (.f32 (*.f32 alphay alphay) -2)))
(pow.f32 (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 (/.f32 1/2 (.f32 alphay alphay)) (-.f32 1 u0))) 1)
(pow.f32 (/.f32 (sqrt.f32 (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (-.f32 1 u0))) (*.f32 alphay (sqrt.f32 2))) 2)
(pow.f32 (cbrt.f32 (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 (/.f32 1/2 (.f32 alphay alphay)) (-.f32 1 u0)))) 3)
(pow.f32 (pow.f32 (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 (/.f32 1/2 (.f32 alphay alphay)) (-.f32 1 u0))) 3) 1/3)
(sqrt.f32 (pow.f32 (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 (/.f32 1/2 (.f32 alphay alphay)) (-.f32 1 u0))) 2))
(log.f32 (pow.f32 (exp.f32 (-.f32 1 u0)) (.f32 1/2 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 (/.f32 1/2 (.f32 alphay alphay)) (-.f32 1 u0))))))
(cbrt.f32 (pow.f32 (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 (/.f32 1/2 (.f32 alphay alphay)) (-.f32 1 u0))) 3))
(cbrt.f32 (.f32 (pow.f32 (.f32 1/2 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 alphay alphay))) 3) (pow.f32 (-.f32 1 u0) 3)))
(cbrt.f32 (.f32 (pow.f32 (-.f32 1 u0) 3) (pow.f32 (.f32 1/2 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 alphay alphay))) 3)))
(expm1.f32 (log1p.f32 (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 (/.f32 1/2 (.f32 alphay alphay)) (-.f32 1 u0)))))
(exp.f32 (log.f32 (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 (/.f32 1/2 (.f32 alphay alphay)) (-.f32 1 u0)))))
(exp.f32 (.f32 (log.f32 (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 (/.f32 1/2 (*.f32 alphay alphay)) (-.f32 1 u0)))) 1))
(log1p.f32 (expm1.f32 (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 (/.f32 1/2 (.f32 alphay alphay)) (-.f32 1 u0)))))

Outputs
(.f32 2 (/.f32 (.f32 u0 (pow.f32 alphay 2)) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphay) alphax)))))))
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(/.f32 (.f32 (.f32 2 alphay) (.f32 alphay u0)) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))))
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(.f32 1/2 (.f32 (/.f32 (-.f32 1 u0) (.f32 alphay alphay)) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))))))
(exp.f32 (.f32 (log.f32 (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 (/.f32 1/2 (*.f32 alphay alphay)) (-.f32 1 u0)))) 1))
(.f32 1/2 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))) (/.f32 (*.f32 alphay alphay) (-.f32 1 u0))))
(.f32 1/2 (.f32 (/.f32 (-.f32 1 u0) (.f32 alphay alphay)) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))))))
(log1p.f32 (expm1.f32 (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 (/.f32 1/2 (.f32 alphay alphay)) (-.f32 1 u0)))))
(.f32 1/2 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))) (/.f32 (*.f32 alphay alphay) (-.f32 1 u0))))
(.f32 1/2 (.f32 (/.f32 (-.f32 1 u0) (.f32 alphay alphay)) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))))))

localize161.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f32 -1 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2))
✓	0.5b	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)
✓	9.0b	(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
	31.7b	(tan.f32 (*.f32 1/2 (PI.f32)))

Compiler

Compiled 148 to 100 computations (32.4% saved)

series9.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite121.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1734×	`associate-/l*`
656×	`associate-/r/`
530×	`associate-/l/`
398×	`add-sqr-sqrt`
388×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	121
1	399	119
2	4896	119

Stop Event

1×	node limit

Counts

3 → 248

Calls

Call 1

Inputs

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

(pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)

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

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (/.f32 alphay alphax)) (tan.f32 (*.f32 1/2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 3) (pow.f32 (/.f32 alphay alphax) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (/.f32 alphay alphax) 3) (pow.f32 (tan.f32 (*.f32 1/2 (PI.f32))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (tan.f32 (*.f32 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((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) (*.f32 (/.f32 1 alphay) (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 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simplify212.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1422×	`distribute-lft-in`
1106×	`associate-/l*`
1060×	`associate-/r*`
868×	`associate-r`
800×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	613	20726
1	1701	20342
2	7410	20342

Stop Event

1×	node limit

Counts

320 → 345

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 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
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(log.f32 (exp.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2))))
(cbrt.f32 (pow.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))
(exp.f32 (.f32 2 (log.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay))))
(exp.f32 (.f32 (.f32 2 (log.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay))) 1))
(log1p.f32 (expm1.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))
(-.f32 (exp.f32 (log1p.f32 (neg.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) -2)))) 1)
(.f32 -1 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) -2))
(.f32 (neg.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) -2)) 1)
(.f32 1 (neg.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) -2)))
(.f32 (.f32 (/.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) alphay) (.f32 (/.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) alphay))
(.f32 (cbrt.f32 (neg.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) -2))) (cbrt.f32 (/.f32 1 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 4))))
(.f32 (cbrt.f32 (/.f32 1 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 4))) (cbrt.f32 (neg.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) -2))))
(.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) -2) -1)
(.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (.f32 -1 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))))
(.f32 (/.f32 1 (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 4))) (cbrt.f32 (neg.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) -2))))
(.f32 (.f32 -1 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))) (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))))
(.f32 (/.f32 (.f32 -1 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))) 1) (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))))
(.f32 (/.f32 (.f32 -1 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))) (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) alphay)
(.f32 (/.f32 (.f32 -1 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) (sqrt.f32 alphay))) (sqrt.f32 alphay))
(.f32 (/.f32 -1 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (.f32 alphay (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))))
(.f32 (/.f32 -1 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) alphay))
(.f32 (/.f32 -1 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2)) (.f32 alphay alphay))
(.f32 (/.f32 -1 (neg.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))) (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (neg.f32 alphay)))
(.f32 (/.f32 -1 (.f32 (neg.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (neg.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))))) (*.f32 (neg.f32 alphay) (neg.f32 alphay)))
(.f32 (/.f32 -1 (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))) alphay)
(.f32 (/.f32 -1 (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) (neg.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))))) (neg.f32 alphay))
(.f32 (/.f32 -1 (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay))) alphay)
(.f32 (/.f32 -1 (.f32 (neg.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay))) (neg.f32 alphay))
(.f32 (/.f32 -1 (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) (neg.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))))) (*.f32 alphay (neg.f32 alphay)))
(.f32 (/.f32 -1 (.f32 (neg.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))) (*.f32 (neg.f32 alphay) alphay))
(.f32 (/.f32 -1 (.f32 (neg.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) 1)) (.f32 (neg.f32 alphay) (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))))
(.f32 (/.f32 (.f32 -1 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))) (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))) (.f32 alphay (hypot.f32 1 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))
(.f32 (/.f32 (.f32 -1 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))) (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))) (.f32 (hypot.f32 1 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))) alphay))
(.f32 (/.f32 (.f32 -1 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))) -1) (neg.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))))
(.f32 (/.f32 (.f32 -1 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))) (sqrt.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))) (/.f32 alphay (sqrt.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))))
(.f32 (/.f32 (.f32 -1 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))) (pow.f32 (cbrt.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) 2)) (/.f32 alphay (cbrt.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))))
(.f32 (/.f32 (.f32 -1 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))) (neg.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))) (neg.f32 alphay))
(.f32 (/.f32 (.f32 -1 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))) (.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)) (/.f32 1 alphay))) (hypot.f32 1 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))
(.f32 (/.f32 (.f32 -1 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) (pow.f32 (cbrt.f32 alphay) 2))) (cbrt.f32 alphay))
(.f32 (/.f32 (.f32 -1 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))) (neg.f32 (neg.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))))) (neg.f32 (neg.f32 alphay)))
(pow.f32 (neg.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) -2)) 1)
(pow.f32 (.f32 (/.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) alphay) 2)
(pow.f32 (cbrt.f32 (neg.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) -2))) 3)
(pow.f32 (pow.f32 (neg.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) -2)) 3) 1/3)
(pow.f32 (neg.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) -1)
(neg.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) -2))
(sqrt.f32 (/.f32 1 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 4)))
(log.f32 (exp.f32 (neg.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) -2))))
(log.f32 (+.f32 1 (expm1.f32 (neg.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) -2)))))
(cbrt.f32 (pow.f32 (neg.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) -2)) 3))
(expm1.f32 (log1p.f32 (neg.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) -2))))
(exp.f32 (log.f32 (neg.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) -2))))
(exp.f32 (.f32 (log.f32 (neg.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) -2))) 1))
(log1p.f32 (expm1.f32 (neg.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) -2))))

Outputs
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))))
(.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 1/2 (PI.f32)))))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))))
(.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 1/2 (PI.f32)))))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))))
(.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 1/2 (PI.f32)))))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))))
(.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 1/2 (PI.f32)))))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))))
(.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 1/2 (PI.f32)))))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))))
(.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 1/2 (PI.f32)))))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))))
(.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 1/2 (PI.f32)))))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))))
(.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 1/2 (PI.f32)))))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))))
(.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 1/2 (PI.f32)))))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))))
(.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 1/2 (PI.f32)))))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))))
(.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 1/2 (PI.f32)))))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))))
(.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 1/2 (PI.f32)))))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))))
(.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 1/2 (PI.f32)))))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))))
(.f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 1/2 (PI.f32)))))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))))
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(exp.f32 (log.f32 (neg.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) -2))))
(neg.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) -2))
(neg.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)))) alphay) -2))
(exp.f32 (.f32 (log.f32 (neg.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) -2))) 1))
(neg.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) -2))
(neg.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)))) alphay) -2))
(log1p.f32 (expm1.f32 (neg.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) -2))))
(neg.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) -2))
(neg.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)))) alphay) -2))

localize164.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))
	0.4b	(*.f32 (fma.f32 2 u1 1/2) (PI.f32))
✓	0.5b	(pow.f32 (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2)
	12.2b	(tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))

Compiler

Compiled 243 to 165 computations (32.1% saved)

series33.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	u1	@	0	(pow.f32 (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2)
5.0ms	alphay	@	inf	(pow.f32 (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2)
4.0ms	alphax	@	0	(pow.f32 (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2)
4.0ms	u1	@	inf	(pow.f32 (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2)
3.0ms	alphay	@	0	(pow.f32 (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2)

rewrite108.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1846×	`associate-/r*`
1340×	`associate-/l*`
432×	`add-sqr-sqrt`
422×	`*-un-lft-identity`
418×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	57
1	434	57
2	5275	57

Stop Event

1×	node limit

Counts

1 → 146

Calls

Call 1

Inputs
(pow.f32 (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2)

Outputs

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((x *.f32 (/.f32 (pow.f32 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))) -2) (*.f32 alphax alphax)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (sqrt.f32 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) (*.f32 (/.f32 1 (sqrt.f32 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) (/.f32 1 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 1 (cbrt.f32 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) 2) (cbrt.f32 (pow.f32 (/.f32 1 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 1 (cbrt.f32 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) 2) (*.f32 (/.f32 1 (cbrt.f32 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) (/.f32 1 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (/.f32 1 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))) 4)) (pow.f32 (/.f32 1 (cbrt.f32 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))) -2) (*.f32 (/.f32 1 alphax) (/.f32 1 alphax)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) 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(/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) 2)) (/.f32 1 (cbrt.f32 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (*.f32 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 1 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (*.f32 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) (/.f32 1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (*.f32 alphax (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))) (/.f32 1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (*.f32 alphax alphax) (pow.f32 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (*.f32 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (neg.f32 alphax)) (/.f32 -1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (*.f32 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (*.f32 alphax (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 1 alphax)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 (*.f32 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 (*.f32 alphax (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 (*.f32 alphax alphax) (/.f32 1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 alphax (/.f32 1 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 (*.f32 alphax (neg.f32 alphax)) (/.f32 -1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 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simplify190.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1564×	`associate-/l*`
1488×	`associate-/r*`
1188×	`associate-r`
1052×	`*-commutative`
870×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	735	35178
1	2348	34270

Stop Event

1×	node limit

Counts

182 → 269

Calls

Call 1

Inputs
(/.f32 1 (pow.f32 alphax 2))
(+.f32 (/.f32 1 (pow.f32 alphax 2)) (.f32 -1 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 4)))))
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(/.f32 (/.f32 (.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) (pow.f32 (cbrt.f32 alphax) 2)) (neg.f32 (cbrt.f32 alphax)))
(/.f32 (/.f32 (.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) -1) alphax)
(/.f32 (/.f32 (.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) (sqrt.f32 (neg.f32 alphax))) (sqrt.f32 (neg.f32 alphax)))
(/.f32 (/.f32 (.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) (*.f32 (cbrt.f32 (neg.f32 alphax)) (cbrt.f32 (neg.f32 alphax)))) (cbrt.f32 (neg.f32 alphax)))
(/.f32 (/.f32 (.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) (neg.f32 (sqrt.f32 alphax))) (sqrt.f32 alphax))
(/.f32 (/.f32 (.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) (neg.f32 (pow.f32 (cbrt.f32 alphax) 2))) (cbrt.f32 alphax))
(/.f32 (/.f32 (.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))) alphax) (neg.f32 alphax))
(/.f32 (/.f32 (.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) 1) (neg.f32 alphax)) (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))
(/.f32 (/.f32 (.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))) (neg.f32 alphax)) alphax)
(sqrt.f32 (pow.f32 (/.f32 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))) 4))
(log.f32 (exp.f32 (/.f32 (pow.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) -2) (*.f32 alphax alphax))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (pow.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) -2) (*.f32 alphax alphax)))))
(cbrt.f32 (pow.f32 (/.f32 (pow.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) -2) (*.f32 alphax alphax)) 3))
(expm1.f32 (log1p.f32 (/.f32 (pow.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) -2) (*.f32 alphax alphax))))
(exp.f32 (.f32 2 (neg.f32 (log.f32 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))))))
(exp.f32 (.f32 (.f32 2 (neg.f32 (log.f32 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))))) 1))
(log1p.f32 (expm1.f32 (/.f32 (pow.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) -2) (*.f32 alphax alphax))))

Outputs
(/.f32 1 (pow.f32 alphax 2))
(/.f32 1 (*.f32 alphax alphax))
(+.f32 (/.f32 1 (pow.f32 alphax 2)) (.f32 -1 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 4)))))
(+.f32 (/.f32 1 (.f32 alphax alphax)) (neg.f32 (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 2)) (/.f32 (*.f32 alphay alphay) (pow.f32 alphax 4)))))
(+.f32 (/.f32 1 (.f32 alphax alphax)) (neg.f32 (/.f32 (/.f32 (pow.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 2) (/.f32 (pow.f32 (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 2) (.f32 alphay alphay))) (pow.f32 alphax 4))))
(+.f32 (.f32 (+.f32 (.f32 1/4 (/.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 4) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 4) (pow.f32 alphax 6)))) (.f32 -2 (/.f32 (+.f32 (.f32 -1/4 (/.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 4) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 4) (pow.f32 alphax 5)))) (.f32 -1/8 (/.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 4) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 4) (pow.f32 alphax 5))))) alphax))) (pow.f32 alphay 4)) (+.f32 (/.f32 1 (pow.f32 alphax 2)) (.f32 -1 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 4))))))
(fma.f32 (fma.f32 1/4 (/.f32 (pow.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 4) (.f32 (pow.f32 (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 4) (pow.f32 alphax 6))) (.f32 -2 (/.f32 (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 4) (.f32 (pow.f32 (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 4) (pow.f32 alphax 5))) -3/8) alphax))) (pow.f32 alphay 4) (+.f32 (/.f32 1 (.f32 alphax alphax)) (neg.f32 (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 2)) (/.f32 (*.f32 alphay alphay) (pow.f32 alphax 4))))))
(fma.f32 (fma.f32 1/4 (/.f32 (/.f32 (pow.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 4) (pow.f32 (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 4)) (pow.f32 alphax 6)) (.f32 -2 (/.f32 (/.f32 (/.f32 (pow.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 4) (pow.f32 (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 4)) (pow.f32 alphax 5)) (/.f32 alphax -3/8)))) (pow.f32 alphay 4) (+.f32 (/.f32 1 (.f32 alphax alphax)) (neg.f32 (/.f32 (/.f32 (pow.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 2) (/.f32 (pow.f32 (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 2) (*.f32 alphay alphay))) (pow.f32 alphax 4)))))
(+.f32 (.f32 (+.f32 (.f32 -2 (/.f32 (+.f32 (.f32 1/8 (/.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 6) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 6) (pow.f32 alphax 7)))) (.f32 -1/2 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (+.f32 (.f32 -1/4 (/.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 4) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 4) (pow.f32 alphax 5)))) (.f32 -1/8 (/.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 4) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 4) (pow.f32 alphax 5)))))) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 2))))) alphax)) (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (+.f32 (.f32 -1/4 (/.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 4) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 4) (pow.f32 alphax 5)))) (.f32 -1/8 (/.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 4) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 4) (pow.f32 alphax 5)))))) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 3)))) (pow.f32 alphay 6)) (+.f32 (.f32 (+.f32 (.f32 1/4 (/.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 4) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 4) (pow.f32 alphax 6)))) (.f32 -2 (/.f32 (+.f32 (.f32 -1/4 (/.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 4) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 4) (pow.f32 alphax 5)))) (.f32 -1/8 (/.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 4) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 4) (pow.f32 alphax 5))))) alphax))) (pow.f32 alphay 4)) (+.f32 (/.f32 1 (pow.f32 alphax 2)) (.f32 -1 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 4)))))))
(fma.f32 (fma.f32 -2 (/.f32 (fma.f32 1/8 (/.f32 (/.f32 (pow.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 6) (pow.f32 (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 6)) (pow.f32 alphax 7)) (.f32 -1/2 (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 2)) (/.f32 (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 4) (.f32 (pow.f32 (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 4) (pow.f32 alphax 5))) -3/8) (.f32 alphax alphax))))) alphax) (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 2) (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 4) (.f32 (pow.f32 (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 4) (pow.f32 alphax 5))) -3/8)) (.f32 (pow.f32 (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 2) (pow.f32 alphax 3)))) (pow.f32 alphay 6) (fma.f32 (fma.f32 1/4 (/.f32 (pow.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 4) (.f32 (pow.f32 (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 4) (pow.f32 alphax 6))) (.f32 -2 (/.f32 (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 4) (.f32 (pow.f32 (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 4) (pow.f32 alphax 5))) -3/8) alphax))) (pow.f32 alphay 4) (+.f32 (/.f32 1 (.f32 alphax alphax)) (neg.f32 (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 2) (pow.f32 (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 2)) (/.f32 (.f32 alphay alphay) (pow.f32 alphax 4)))))))
(fma.f32 (fma.f32 -2 (/.f32 (fma.f32 1/8 (/.f32 (/.f32 (pow.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 6) (pow.f32 (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 6)) (pow.f32 alphax 7)) (.f32 -1/2 (/.f32 (pow.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 2) (/.f32 (pow.f32 (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 2) (/.f32 (/.f32 (/.f32 (pow.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 4) (pow.f32 (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 4)) (pow.f32 alphax 5)) (/.f32 (.f32 alphax alphax) -3/8)))))) alphax) (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 2) (.f32 (pow.f32 (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 2) (pow.f32 alphax 3))) (.f32 (/.f32 (/.f32 (pow.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 4) (pow.f32 (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 4)) (pow.f32 alphax 5)) -3/8))) (pow.f32 alphay 6) (fma.f32 (fma.f32 1/4 (/.f32 (/.f32 (pow.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 4) (pow.f32 (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 4)) (pow.f32 alphax 6)) (.f32 -2 (/.f32 (/.f32 (/.f32 (pow.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 4) (pow.f32 (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 4)) (pow.f32 alphax 5)) (/.f32 alphax -3/8)))) (pow.f32 alphay 4) (+.f32 (/.f32 1 (.f32 alphax alphax)) (neg.f32 (/.f32 (/.f32 (pow.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 2) (/.f32 (pow.f32 (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 2) (.f32 alphay alphay))) (pow.f32 alphax 4))))))
(/.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (*.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2)))
(/.f32 (pow.f32 (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 2) (.f32 (pow.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 2) (.f32 alphay alphay)))
(/.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 2)) (*.f32 alphay alphay))
(+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2))) (.f32 -1 (/.f32 (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 4) (pow.f32 alphax 2)) (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 4) (pow.f32 alphay 4)))))
(+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 2) (.f32 (pow.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 2) (.f32 alphay alphay))) (neg.f32 (.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 4) (pow.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 4)) (/.f32 (.f32 alphax alphax) (pow.f32 alphay 4)))))
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(/.f32 (/.f32 (/.f32 1 alphax) (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (.f32 (cbrt.f32 alphax) (pow.f32 (cbrt.f32 alphax) 2))))
(/.f32 (/.f32 (.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) (pow.f32 (cbrt.f32 alphax) 2)) (cbrt.f32 alphax))
(.f32 (/.f32 (/.f32 1 (pow.f32 (cbrt.f32 alphax) 2)) (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))) (/.f32 1 (.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (cbrt.f32 alphax))))
(/.f32 (/.f32 (/.f32 1 alphax) (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (.f32 (cbrt.f32 alphax) (pow.f32 (cbrt.f32 alphax) 2))))
(/.f32 (/.f32 (.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) 1) (neg.f32 alphax))
(.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (.f32 (/.f32 1 alphax) (/.f32 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))))
(/.f32 1 (.f32 alphax (.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))))
(/.f32 (/.f32 (.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) (sqrt.f32 alphax)) (neg.f32 (sqrt.f32 alphax)))
(.f32 (/.f32 (/.f32 1 (sqrt.f32 alphax)) (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))) (/.f32 1 (.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (sqrt.f32 alphax))))
(/.f32 (/.f32 (/.f32 1 alphax) (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (.f32 (sqrt.f32 alphax) (sqrt.f32 alphax))))
(/.f32 (/.f32 (.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) (pow.f32 (cbrt.f32 alphax) 2)) (neg.f32 (cbrt.f32 alphax)))
(.f32 (/.f32 (/.f32 1 (pow.f32 (cbrt.f32 alphax) 2)) (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))) (/.f32 1 (.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (cbrt.f32 alphax))))
(/.f32 (/.f32 (/.f32 1 alphax) (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (.f32 (cbrt.f32 alphax) (pow.f32 (cbrt.f32 alphax) 2))))
(/.f32 (/.f32 (.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) -1) alphax)
(.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (.f32 (/.f32 1 alphax) (/.f32 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))))
(/.f32 1 (.f32 alphax (.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))))
(/.f32 (/.f32 (.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) (sqrt.f32 (neg.f32 alphax))) (sqrt.f32 (neg.f32 alphax)))
(/.f32 (/.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))) (.f32 (sqrt.f32 (neg.f32 alphax)) (sqrt.f32 (neg.f32 alphax))))
(/.f32 (/.f32 -1 (.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) (*.f32 (sqrt.f32 (neg.f32 alphax)) (sqrt.f32 (neg.f32 alphax))))
(/.f32 (/.f32 (.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) (*.f32 (cbrt.f32 (neg.f32 alphax)) (cbrt.f32 (neg.f32 alphax)))) (cbrt.f32 (neg.f32 alphax)))
(/.f32 (/.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))) (.f32 (cbrt.f32 (neg.f32 alphax)) (*.f32 (cbrt.f32 (neg.f32 alphax)) (cbrt.f32 (neg.f32 alphax)))))
(/.f32 (/.f32 -1 (.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) (.f32 (cbrt.f32 (neg.f32 alphax)) (.f32 (cbrt.f32 (neg.f32 alphax)) (cbrt.f32 (neg.f32 alphax)))))
(/.f32 (/.f32 (.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) (neg.f32 (sqrt.f32 alphax))) (sqrt.f32 alphax))
(.f32 (/.f32 (/.f32 1 (sqrt.f32 alphax)) (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))) (/.f32 1 (.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (sqrt.f32 alphax))))
(/.f32 (/.f32 (/.f32 1 alphax) (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (.f32 (sqrt.f32 alphax) (sqrt.f32 alphax))))
(/.f32 (/.f32 (.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) (neg.f32 (pow.f32 (cbrt.f32 alphax) 2))) (cbrt.f32 alphax))
(.f32 (/.f32 (/.f32 1 (pow.f32 (cbrt.f32 alphax) 2)) (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))) (/.f32 1 (.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (cbrt.f32 alphax))))
(/.f32 (/.f32 (/.f32 1 alphax) (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (.f32 (cbrt.f32 alphax) (pow.f32 (cbrt.f32 alphax) 2))))
(/.f32 (/.f32 (.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))) alphax) (neg.f32 alphax))
(.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (.f32 (/.f32 1 alphax) (/.f32 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))))
(/.f32 1 (.f32 alphax (.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))))
(/.f32 (/.f32 (.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) 1) (neg.f32 alphax)) (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))
(.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (.f32 (/.f32 1 alphax) (/.f32 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))))
(/.f32 1 (.f32 alphax (.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))))
(/.f32 (/.f32 (.f32 (/.f32 -1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))) (neg.f32 alphax)) alphax)
(.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (.f32 (/.f32 1 alphax) (/.f32 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))))
(/.f32 1 (.f32 alphax (.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))))
(sqrt.f32 (pow.f32 (/.f32 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))) 4))
(sqrt.f32 (pow.f32 (/.f32 (/.f32 1 alphax) (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) 4))
(log.f32 (exp.f32 (/.f32 (pow.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) -2) (*.f32 alphax alphax))))
(/.f32 (pow.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) -2) (*.f32 alphax alphax))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (pow.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) -2) (*.f32 alphax alphax)))))
(/.f32 (pow.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) -2) (*.f32 alphax alphax))
(cbrt.f32 (pow.f32 (/.f32 (pow.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) -2) (*.f32 alphax alphax)) 3))
(/.f32 (pow.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) -2) (*.f32 alphax alphax))
(expm1.f32 (log1p.f32 (/.f32 (pow.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) -2) (*.f32 alphax alphax))))
(/.f32 (pow.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) -2) (*.f32 alphax alphax))
(exp.f32 (.f32 2 (neg.f32 (log.f32 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))))))
(pow.f32 (exp.f32 2) (neg.f32 (log.f32 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))))
(exp.f32 (.f32 -2 (log.f32 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))))
(exp.f32 (.f32 (.f32 2 (neg.f32 (log.f32 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))))) 1))
(pow.f32 (exp.f32 2) (neg.f32 (log.f32 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))))
(exp.f32 (.f32 -2 (log.f32 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))))
(log1p.f32 (expm1.f32 (/.f32 (pow.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) -2) (*.f32 alphax alphax))))
(/.f32 (pow.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) -2) (*.f32 alphax alphax))

localize315.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f32 (sqrt.f32 u0) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) (sqrt.f32 (-.f32 1 u0))))
✓	0.4b	(pow.f32 (/.f32 (sqrt.f32 u0) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) (sqrt.f32 (-.f32 1 u0)))) 2)
	9.0b	(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
	31.7b	(tan.f32 (*.f32 1/2 (PI.f32)))

Compiler

Compiled 204 to 131 computations (35.8% saved)

series19.0ms (0.1%)

Counts

2 → 64

Calls

18 calls:

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

rewrite189.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1244×	`associate-/r/`
508×	`add-sqr-sqrt`
496×	`*-un-lft-identity`
494×	`pow1`
466×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	136
1	504	128
2	6550	128

Stop Event

1×	node limit

Counts

2 → 183

Calls

Call 1

Inputs

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

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

Outputs

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simplify157.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1498×	`associate-l`
1334×	`associate-/r*`
1296×	`associate-r`
998×	`associate-*l/`
970×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	582	24057
1	1904	23029

Stop Event

1×	node limit

Counts

247 → 318

Calls

Call 1

Inputs
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(fabs.f32 (.f32 (sqrt.f32 u0) (/.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (sqrt.f32 (-.f32 1 u0)))))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 u0)) (/.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (sqrt.f32 (-.f32 1 u0)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 u0) (/.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (sqrt.f32 (-.f32 1 u0)))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 u0) (/.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (sqrt.f32 (-.f32 1 u0)))) 3))
(cbrt.f32 (/.f32 (pow.f32 u0 3/2) (pow.f32 (.f32 (/.f32 (sqrt.f32 (-.f32 1 u0)) alphay) (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) 3)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 u0) (/.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (sqrt.f32 (-.f32 1 u0))))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 u0) (/.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (sqrt.f32 (-.f32 1 u0))))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 u0) (/.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (sqrt.f32 (-.f32 1 u0))))) 1))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 u0) (/.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (sqrt.f32 (-.f32 1 u0))))))

Outputs
(/.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 alphay 2)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphay) alphax))) 2))
(/.f32 (pow.f32 (sqrt.f32 -1) 2) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2) (*.f32 alphay alphay)))
(+.f32 (.f32 -1 (/.f32 (pow.f32 alphay 2) (.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)))) (/.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 alphay 2)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphay) alphax))) 2)))
(fma.f32 -1 (/.f32 (/.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2)) (/.f32 (pow.f32 (sqrt.f32 -1) 2) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2) (.f32 alphay alphay))))
(+.f32 (.f32 1/4 (/.f32 (pow.f32 alphay 2) (.f32 (pow.f32 u0 2) (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2))))) (+.f32 (.f32 -1 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 alphay 2)) (.f32 (pow.f32 u0 2) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)))) (+.f32 (.f32 -1 (/.f32 (pow.f32 alphay 2) (.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)))) (/.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 alphay 2)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphay) alphax))) 2)))))
(fma.f32 1/4 (/.f32 (.f32 alphay alphay) (.f32 (.f32 (.f32 u0 u0) (pow.f32 (sqrt.f32 -1) 2)) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2))) (fma.f32 -1 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2) (.f32 u0 u0)) (.f32 alphay alphay))) (fma.f32 -1 (/.f32 (/.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2)) (/.f32 (pow.f32 (sqrt.f32 -1) 2) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2) (*.f32 alphay alphay))))))
(fma.f32 -1 (/.f32 (/.f32 (.f32 alphay (+.f32 alphay (.f32 alphay (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (.f32 u0 u0)) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2)) (fma.f32 1/4 (/.f32 (/.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sqrt.f32 -1) 2)) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2)) (.f32 u0 u0)) (fma.f32 -1 (/.f32 (/.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2)) (/.f32 (pow.f32 (sqrt.f32 -1) 2) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2) (*.f32 alphay alphay))))))
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(fma.f32 -1/2 (.f32 (/.f32 (.f32 alphay alphay) (pow.f32 u0 3)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2))) (fma.f32 1/2 (/.f32 (.f32 (.f32 alphay alphay) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))) (.f32 (.f32 (pow.f32 u0 3) (pow.f32 (sqrt.f32 -1) 2)) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2))) (fma.f32 -1/2 (.f32 (/.f32 (.f32 alphay alphay) (pow.f32 u0 3)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2))) (fma.f32 -1 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2) (.f32 u0 u0)) (.f32 alphay alphay))) (fma.f32 1/4 (/.f32 (.f32 alphay alphay) (.f32 (.f32 (.f32 u0 u0) (pow.f32 (sqrt.f32 -1) 2)) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2))) (fma.f32 -1 (/.f32 (/.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2)) (/.f32 (pow.f32 (sqrt.f32 -1) 2) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2) (*.f32 alphay alphay)))))))))
(fma.f32 -1/2 (.f32 (/.f32 (.f32 alphay alphay) (pow.f32 u0 3)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2))) (fma.f32 1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 u0 3)) (/.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sqrt.f32 -1) 2)) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2))) (fma.f32 -1/2 (.f32 (/.f32 (.f32 alphay alphay) (pow.f32 u0 3)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2))) (fma.f32 -1 (/.f32 (/.f32 (.f32 alphay (+.f32 alphay (.f32 alphay (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (.f32 u0 u0)) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2)) (fma.f32 1/4 (/.f32 (/.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sqrt.f32 -1) 2)) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2)) (.f32 u0 u0)) (fma.f32 -1 (/.f32 (/.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2)) (/.f32 (pow.f32 (sqrt.f32 -1) 2) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2) (*.f32 alphay alphay)))))))))
(/.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 alphay 2)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphay) alphax))) 2))
(/.f32 (pow.f32 (sqrt.f32 -1) 2) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2) (*.f32 alphay alphay)))
(+.f32 (/.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 alphay 2)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (/.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 alphay 2)) (.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphay) alphax))) 2))))
(+.f32 (/.f32 (pow.f32 (sqrt.f32 -1) 2) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2) (.f32 alphay alphay))) (/.f32 (/.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 alphay alphay)) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2)))
(+.f32 (/.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 alphay 2)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (+.f32 (/.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 alphay 2)) (.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2))) (+.f32 (.f32 3/4 (/.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 u0 2) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)))) (.f32 1/4 (/.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (pow.f32 alphay 2)) (.f32 (pow.f32 u0 2) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphay) alphax))) 2)))))))
(+.f32 (/.f32 (pow.f32 (sqrt.f32 -1) 2) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2) (.f32 alphay alphay))) (+.f32 (/.f32 (/.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 alphay alphay)) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2)) (.f32 (/.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 alphay alphay)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2) (.f32 u0 u0))) 1)))
(+.f32 (/.f32 (pow.f32 (sqrt.f32 -1) 2) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2) (.f32 alphay alphay))) (+.f32 (/.f32 (/.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 alphay alphay)) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2)) (/.f32 (.f32 (/.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 alphay alphay)) (.f32 u0 u0)) 1) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2))))
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(+.f32 (/.f32 (pow.f32 (sqrt.f32 -1) 2) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2) (.f32 alphay alphay))) (+.f32 (/.f32 (/.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 alphay alphay)) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2)) (+.f32 (.f32 (/.f32 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 alphay alphay)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2) (.f32 u0 u0))) 1) (neg.f32 (/.f32 (.f32 (/.f32 (pow.f32 (sqrt.f32 -1) 2) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2) (.f32 alphay alphay))) -1) (pow.f32 u0 3))))))
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(/.f32 (.f32 u0 (pow.f32 alphay 2)) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (-.f32 1 u0)))
(/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2) (-.f32 1 u0)))
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(.f32 (/.f32 (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 u0))) (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))) (.f32 alphay (hypot.f32 1 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))
(.f32 (hypot.f32 1 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))) (.f32 alphay (.f32 (/.f32 (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 u0))) (tan.f32 (.f32 1/2 (PI.f32)))) (/.f32 alphax alphay))))
(.f32 (/.f32 (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 u0))) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 1)) alphay)
(/.f32 (.f32 (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 u0))) alphay) (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))
(.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 u0))))
(.f32 (/.f32 (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 u0))) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) (sqrt.f32 alphay))) (sqrt.f32 alphay))
(/.f32 (.f32 (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 u0))) (sqrt.f32 alphay)) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) (sqrt.f32 alphay)))
(.f32 (/.f32 (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 u0))) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) (pow.f32 (cbrt.f32 alphay) 2))) (cbrt.f32 alphay))
(.f32 (cbrt.f32 alphay) (.f32 (/.f32 (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 u0))) (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (pow.f32 (cbrt.f32 alphay) 2)))
(.f32 (/.f32 (.f32 (sqrt.f32 u0) (cbrt.f32 alphay)) (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (/.f32 (pow.f32 (cbrt.f32 alphay) 2) (sqrt.f32 (-.f32 1 u0))))
(.f32 (/.f32 (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 u0))) -1) (neg.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))))
(.f32 (/.f32 (sqrt.f32 u0) (.f32 -1 (sqrt.f32 (-.f32 1 u0)))) (/.f32 (neg.f32 alphay) (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))))
(.f32 (neg.f32 (/.f32 (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 u0))) -1)) (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))))
(.f32 (/.f32 (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 u0))) (neg.f32 (neg.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))))) (neg.f32 (neg.f32 alphay)))
(/.f32 (.f32 (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 u0))) alphay) (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))
(.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 u0))))
(.f32 (/.f32 (/.f32 (sqrt.f32 u0) (sqrt.f32 (.f32 (/.f32 (sqrt.f32 (-.f32 1 u0)) alphay) (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))))) (sqrt.f32 (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) (sqrt.f32 (-.f32 1 u0))))) (sqrt.f32 alphay))
(.f32 (sqrt.f32 alphay) (/.f32 (sqrt.f32 u0) (.f32 (sqrt.f32 (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) (sqrt.f32 (-.f32 1 u0)))) (sqrt.f32 (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) (/.f32 (sqrt.f32 (-.f32 1 u0)) alphay))))))
(.f32 (sqrt.f32 alphay) (/.f32 (/.f32 (sqrt.f32 u0) (sqrt.f32 (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) (/.f32 (sqrt.f32 (-.f32 1 u0)) alphay)))) (sqrt.f32 (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) (sqrt.f32 (-.f32 1 u0))))))
(.f32 (/.f32 (/.f32 (sqrt.f32 u0) (cbrt.f32 (.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))) (cbrt.f32 (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) (sqrt.f32 (-.f32 1 u0))))) (cbrt.f32 alphay))
(.f32 (cbrt.f32 alphay) (/.f32 (sqrt.f32 u0) (.f32 (cbrt.f32 (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) (sqrt.f32 (-.f32 1 u0)))) (cbrt.f32 (.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2))))))
(.f32 (cbrt.f32 alphay) (/.f32 (sqrt.f32 u0) (.f32 (cbrt.f32 (.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2))) (cbrt.f32 (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) (sqrt.f32 (-.f32 1 u0)))))))
(.f32 (/.f32 (/.f32 (.f32 (sqrt.f32 u0) (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))) 1) (sqrt.f32 (-.f32 1 (pow.f32 u0 3)))) (sqrt.f32 (+.f32 1 (fma.f32 u0 u0 u0))))
(.f32 (sqrt.f32 (+.f32 1 (fma.f32 u0 u0 u0))) (/.f32 (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (sqrt.f32 u0)) (sqrt.f32 (-.f32 1 (pow.f32 u0 3)))))
(.f32 (sqrt.f32 (+.f32 1 (fma.f32 u0 u0 u0))) (.f32 (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 (pow.f32 u0 3)))) (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))))
(.f32 (/.f32 (/.f32 (.f32 (sqrt.f32 u0) (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))) 1) (sqrt.f32 (-.f32 1 (*.f32 u0 u0)))) (sqrt.f32 (+.f32 u0 1)))
(.f32 (sqrt.f32 (+.f32 u0 1)) (/.f32 (sqrt.f32 u0) (/.f32 (sqrt.f32 (-.f32 1 (.f32 u0 u0))) (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))))))
(/.f32 (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (.f32 (sqrt.f32 u0) (sqrt.f32 (+.f32 u0 1)))) (sqrt.f32 (-.f32 1 (*.f32 u0 u0))))
(pow.f32 (.f32 (sqrt.f32 u0) (/.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (sqrt.f32 (-.f32 1 u0)))) 1)
(/.f32 (.f32 (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 u0))) alphay) (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))
(.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 u0))))
(pow.f32 (/.f32 u0 (.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2))) 1/2)
(sqrt.f32 (/.f32 u0 (.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2))))
(sqrt.f32 (/.f32 (/.f32 u0 (-.f32 1 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 u0) (/.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (sqrt.f32 (-.f32 1 u0))))) 2)
(/.f32 (.f32 (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 u0))) alphay) (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))
(.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 u0))))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u0) (/.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (sqrt.f32 (-.f32 1 u0))))) 3)
(/.f32 (.f32 (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 u0))) alphay) (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))
(.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 u0))))
(pow.f32 (pow.f32 (.f32 (sqrt.f32 u0) (/.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (sqrt.f32 (-.f32 1 u0)))) 3) 1/3)
(/.f32 (.f32 (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 u0))) alphay) (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))
(.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 u0))))
(pow.f32 (/.f32 (.f32 (/.f32 (sqrt.f32 (-.f32 1 u0)) alphay) (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (sqrt.f32 u0)) -1)
(/.f32 (.f32 (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 u0))) alphay) (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))
(.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 u0))))
(neg.f32 (.f32 (/.f32 (sqrt.f32 u0) (neg.f32 (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) (sqrt.f32 (-.f32 1 u0))))) alphay))
(.f32 (neg.f32 (sqrt.f32 u0)) (.f32 alphay (/.f32 1 (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) (neg.f32 (sqrt.f32 (-.f32 1 u0)))))))
(.f32 alphay (/.f32 (neg.f32 (sqrt.f32 u0)) (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) (neg.f32 (sqrt.f32 (-.f32 1 u0))))))
(sqrt.f32 (/.f32 u0 (.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2))))
(sqrt.f32 (/.f32 (/.f32 u0 (-.f32 1 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))
(fabs.f32 (.f32 (sqrt.f32 u0) (/.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (sqrt.f32 (-.f32 1 u0)))))
(fabs.f32 (/.f32 (.f32 (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 u0))) alphay) (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))))
(fabs.f32 (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 u0)))))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 u0)) (/.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (sqrt.f32 (-.f32 1 u0)))))
(.f32 (/.f32 alphay (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) (sqrt.f32 (-.f32 1 u0)))) (log.f32 (exp.f32 (sqrt.f32 u0))))
(.f32 (/.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (sqrt.f32 (-.f32 1 u0))) (log.f32 (exp.f32 (sqrt.f32 u0))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 u0) (/.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (sqrt.f32 (-.f32 1 u0)))))))
(/.f32 (.f32 (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 u0))) alphay) (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))
(.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 u0))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 u0) (/.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (sqrt.f32 (-.f32 1 u0)))) 3))
(/.f32 (.f32 (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 u0))) alphay) (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))
(.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 u0))))
(cbrt.f32 (/.f32 (pow.f32 u0 3/2) (pow.f32 (.f32 (/.f32 (sqrt.f32 (-.f32 1 u0)) alphay) (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) 3)))
(cbrt.f32 (/.f32 (pow.f32 u0 3/2) (pow.f32 (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) (/.f32 (sqrt.f32 (-.f32 1 u0)) alphay)) 3)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 u0) (/.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (sqrt.f32 (-.f32 1 u0))))))
(/.f32 (.f32 (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 u0))) alphay) (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))
(.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 u0))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 u0) (/.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (sqrt.f32 (-.f32 1 u0))))))
(/.f32 (.f32 (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 u0))) alphay) (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))
(.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 u0))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 u0) (/.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (sqrt.f32 (-.f32 1 u0))))) 1))
(/.f32 (.f32 (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 u0))) alphay) (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))
(.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 u0))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 u0) (/.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (sqrt.f32 (-.f32 1 u0))))))
(/.f32 (.f32 (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 u0))) alphay) (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))
(.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (/.f32 (sqrt.f32 u0) (sqrt.f32 (-.f32 1 u0))))

eval3.2s (11.8%)

Compiler: Compiled 106965 to 76246 computations (28.7% saved)

prune1.7s (6.4%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	1933	10	1943
Fresh	1	2	3
Picked	1	0	1
Done	3	2	5
Total	1938	14	1952

Error

0.2b

Counts

1952 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	1.4b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 u0 u0 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))))
	1.7b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 (.f32 2 alphay) (.f32 alphay u0)) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))))))))
	9.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 alphay (.f32 alphay -2)) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))))))))
	0.6b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (-.f32 (exp.f32 (log1p.f32 (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 (/.f32 1/2 (.f32 alphay alphay)) (-.f32 1 u0))))) 1)))))
	16.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (*.f32 2 u1) 1/2)))))) alphax) 2) (-.f32 1 u0))))))
	3.9b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphax) 2) (-.f32 1 u0))))))
	16.1b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2))) (-.f32 1 u0))))))
	0.6b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (.f32 2 u1) 1/2)))))))) (.f32 2 (.f32 alphay alphay))) (-.f32 1 u0))))))
✓	0.6b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 2 (.f32 alphay alphay))) (-.f32 1 u0))))))
	3.8b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (/.f32 1 (.f32 alphax alphax)) (-.f32 1 u0))))))
✓	0.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (/.f32 (/.f32 1 (.f32 alphax alphax)) (+.f32 1 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2)))) (-.f32 1 u0))))))
	0.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (+.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (.f32 2 u1) 1/2)))))))) (.f32 2 (.f32 alphay alphay))) (/.f32 (/.f32 1 (.f32 alphax alphax)) (+.f32 1 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2)))) (-.f32 1 u0))))))
	2.3b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (+.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) (.f32 2 (.f32 alphay alphay))) (/.f32 (/.f32 1 (.f32 alphax alphax)) (+.f32 1 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))) 2)))) (-.f32 1 u0))))))
	0.4b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.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 2 (.f32 alphay alphay))) (/.f32 (/.f32 1 (.f32 alphax alphax)) (+.f32 1 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2)))) (-.f32 1 u0))))))

Compiler

Compiled 590 to 474 computations (19.7% saved)

regimes310.0ms (1.1%)

Counts

27 → 1

Calls

Call 1

Inputs
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (/.f32 1 (.f32 alphax alphax)) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 alphay (.f32 alphay -2)) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 (.f32 2 alphay) (.f32 alphay u0)) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphax) 2) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 2 (.f32 alphay alphay))) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (*.f32 2 u1) 1/2)))))) alphax) 2) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (.f32 2 u1) 1/2)))))))) (.f32 2 (.f32 alphay alphay))) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 -1 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))) alphay) 2) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) (.f32 2 (.f32 alphay alphay))) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 u0 u0 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (-.f32 (exp.f32 (log1p.f32 (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 (/.f32 1/2 (.f32 alphay alphay)) (-.f32 1 u0))))) 1)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (pow.f32 (/.f32 (sqrt.f32 u0) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) (sqrt.f32 (-.f32 1 u0)))) 2))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2))) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.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 2 (.f32 alphay alphay))) (/.f32 (/.f32 1 (.f32 alphax alphax)) (+.f32 1 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2)))) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (+.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) (.f32 2 (.f32 alphay alphay))) (/.f32 (/.f32 1 (.f32 alphax alphax)) (+.f32 1 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))) 2)))) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (+.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (.f32 2 u1) 1/2)))))))) (.f32 2 (.f32 alphay alphay))) (/.f32 (/.f32 1 (.f32 alphax alphax)) (+.f32 1 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2)))) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (+.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) (.f32 2 (.f32 alphay alphay))) (/.f32 (/.f32 1 (.f32 alphax alphax)) (+.f32 1 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2)))) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (/.f32 (/.f32 1 (.f32 alphax alphax)) (+.f32 1 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2)))) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2)) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (fma.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphay) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphay) (.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphax))) (-.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 u0 (*.f32 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (/.f32 (/.f32 1 (*.f32 alphax alphax)) (+.f32 1 (pow.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2)))) (-.f32 1 u0))))))

Calls

13 calls:

50.0ms	alphax
48.0ms	(.f32 (.f32 2 (PI.f32)) u1)
32.0ms	(+.f32 1 (/.f32 (.f32 (/.f32 1 (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0)))
16.0ms	(/.f32 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))))
15.0ms	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (.f32 alphay alphay)))

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 1637 to 1153 computations (29.6% saved)

regimes151.0ms (0.6%)

Counts

22 → 1

Calls

Call 1

Inputs
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (/.f32 1 (.f32 alphax alphax)) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 alphay (.f32 alphay -2)) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 (.f32 2 alphay) (.f32 alphay u0)) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphax) 2) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 2 (.f32 alphay alphay))) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (*.f32 2 u1) 1/2)))))) alphax) 2) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (.f32 2 u1) 1/2)))))))) (.f32 2 (.f32 alphay alphay))) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 -1 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))) alphay) 2) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) (.f32 2 (.f32 alphay alphay))) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 u0 u0 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (-.f32 (exp.f32 (log1p.f32 (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 (/.f32 1/2 (.f32 alphay alphay)) (-.f32 1 u0))))) 1)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (pow.f32 (/.f32 (sqrt.f32 u0) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) (sqrt.f32 (-.f32 1 u0)))) 2))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2))) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.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 2 (.f32 alphay alphay))) (/.f32 (/.f32 1 (.f32 alphax alphax)) (+.f32 1 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2)))) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (+.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) (.f32 2 (.f32 alphay alphay))) (/.f32 (/.f32 1 (.f32 alphax alphax)) (+.f32 1 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))) 2)))) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (+.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (.f32 2 u1) 1/2)))))))) (.f32 2 (.f32 alphay alphay))) (/.f32 (/.f32 1 (.f32 alphax alphax)) (+.f32 1 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2)))) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (+.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) (.f32 2 (.f32 alphay alphay))) (/.f32 (/.f32 1 (.f32 alphax alphax)) (+.f32 1 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2)))) (-.f32 1 u0))))))

Outputs

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

Calls

4 calls:

41.0ms	alphax
11.0ms	alphay
11.0ms	u1
10.0ms	u0

Results

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

Compiler

Compiled 778 to 565 computations (27.4% saved)

regimes61.0ms (0.2%)

Counts

20 → 1

Calls

Call 1

Inputs
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (/.f32 1 (.f32 alphax alphax)) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 alphay (.f32 alphay -2)) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 (.f32 2 alphay) (.f32 alphay u0)) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphax) 2) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 2 (.f32 alphay alphay))) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (*.f32 2 u1) 1/2)))))) alphax) 2) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (.f32 2 u1) 1/2)))))))) (.f32 2 (.f32 alphay alphay))) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 -1 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))) alphay) 2) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) (.f32 2 (.f32 alphay alphay))) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 u0 u0 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (-.f32 (exp.f32 (log1p.f32 (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 (/.f32 1/2 (.f32 alphay alphay)) (-.f32 1 u0))))) 1)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (pow.f32 (/.f32 (sqrt.f32 u0) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) (sqrt.f32 (-.f32 1 u0)))) 2))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2))) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.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 2 (.f32 alphay alphay))) (/.f32 (/.f32 1 (.f32 alphax alphax)) (+.f32 1 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2)))) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (+.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) (.f32 2 (.f32 alphay alphay))) (/.f32 (/.f32 1 (.f32 alphax alphax)) (+.f32 1 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))) 2)))) (-.f32 1 u0))))))

Outputs

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

Calls

4 calls:

12.0ms	u1
11.0ms	alphax
11.0ms	alphay
9.0ms	u0

Results

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

Compiler

Compiled 655 to 480 computations (26.7% saved)

regimes154.0ms (0.6%)

Counts

18 → 1

Calls

Call 1

Inputs
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (/.f32 1 (.f32 alphax alphax)) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 alphay (.f32 alphay -2)) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 (.f32 2 alphay) (.f32 alphay u0)) (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphax) 2) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 2 (.f32 alphay alphay))) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (*.f32 2 u1) 1/2)))))) alphax) 2) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (.f32 2 u1) 1/2)))))))) (.f32 2 (.f32 alphay alphay))) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 -1 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))) alphay) 2) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) (.f32 2 (.f32 alphay alphay))) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 u0 u0 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (-.f32 (exp.f32 (log1p.f32 (.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))))) (.f32 (/.f32 1/2 (.f32 alphay alphay)) (-.f32 1 u0))))) 1)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (pow.f32 (/.f32 (sqrt.f32 u0) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) (sqrt.f32 (-.f32 1 u0)))) 2))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2))) (-.f32 1 u0))))))

Outputs

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

Calls

4 calls:

56.0ms	u0
40.0ms	alphax
10.0ms	u1
9.0ms	alphay

Results

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

Compiler

Compiled 547 to 407 computations (25.6% saved)

regimes27.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

7.0ms	alphax
5.0ms	u0
5.0ms	u1
5.0ms	alphay

Results

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

Compiler

Compiled 193 to 148 computations (23.3% saved)

regimes20.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 121 to 94 computations (22.3% saved)

regimes52.0ms (0.2%)

Accuracy

Total -6.4b remaining (-169.6%)

Threshold costs -6.4b (-169.6%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Outputs
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (/.f32 1 (.f32 alphax alphax)) (-.f32 1 u0))))))

Calls

4 calls:

41.0ms	alphay
3.0ms	u0
3.0ms	u1
3.0ms	alphax

Results

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

Compiler

Compiled 65 to 53 computations (18.5% saved)

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

48×	`*-commutative`
38×	`+-commutative`
18×	`sub-neg`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	895
1	148	895
2	160	895
3	166	895
4	169	895

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 317 to 251 computations (20.8% saved)

soundness357.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

1504×	`times-frac`
1248×	`fma-def`
1198×	`associate-/l*`
1020×	`associate-/l*`
982×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	275
1	70	265
2	123	249
3	226	233
4	513	233
5	1568	233
6	6795	233
0	504	19986
1	1355	19568
2	7941	19568

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 2322 to 1517 computations (34.7% saved)

end141.0ms (0.5%)

Compiler: Compiled 293 to 211 computations (28% saved)

Details

analyze1.1s (4%)

sample7.9s (29.1%)

preprocess78.0ms (0.3%)

simplify61.0ms (0.2%)

eval7.0ms (0%)

prune2.0ms (0%)

localize517.0ms (1.9%)

series37.0ms (0.1%)

rewrite148.0ms (0.5%)

simplify163.0ms (0.6%)

eval698.0ms (2.6%)

prune80.0ms (0.3%)

localize292.0ms (1.1%)

series38.0ms (0.1%)

rewrite127.0ms (0.5%)

simplify190.0ms (0.7%)

localize188.0ms (0.7%)

series12.0ms (0%)

rewrite88.0ms (0.3%)

simplify134.0ms (0.5%)

localize386.0ms (1.4%)

series20.0ms (0.1%)

rewrite90.0ms (0.3%)

simplify92.0ms (0.3%)

eval1.3s (4.8%)

prune396.0ms (1.5%)

localize311.0ms (1.1%)

series9.0ms (0%)

rewrite92.0ms (0.3%)

simplify105.0ms (0.4%)

localize206.0ms (0.8%)

series13.0ms (0%)

rewrite115.0ms (0.4%)

simplify161.0ms (0.6%)

localize177.0ms (0.7%)

series5.0ms (0%)

rewrite111.0ms (0.4%)

simplify149.0ms (0.5%)

localize193.0ms (0.7%)

series42.0ms (0.2%)

rewrite117.0ms (0.4%)

simplify158.0ms (0.6%)

eval1.5s (5.7%)

prune753.0ms (2.8%)

localize336.0ms (1.2%)

localize206.0ms (0.8%)

series29.0ms (0.1%)

rewrite116.0ms (0.4%)

simplify146.0ms (0.5%)

localize161.0ms (0.6%)

series9.0ms (0%)

rewrite121.0ms (0.4%)

simplify212.0ms (0.8%)

localize164.0ms (0.6%)

series33.0ms (0.1%)

rewrite108.0ms (0.4%)

simplify190.0ms (0.7%)

localize315.0ms (1.2%)

series19.0ms (0.1%)

rewrite189.0ms (0.7%)

simplify157.0ms (0.6%)

eval3.2s (11.8%)

prune1.7s (6.4%)

regimes310.0ms (1.1%)

regimes151.0ms (0.6%)

regimes61.0ms (0.2%)

regimes154.0ms (0.6%)

regimes27.0ms (0.1%)

regimes20.0ms (0.1%)

regimes52.0ms (0.2%)

simplify19.0ms (0.1%)

soundness357.0ms (1.3%)

end141.0ms (0.5%)

Profiling