Details

analyze1.0s (3.6%)

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 (27.4%)

Results

7.9s

8256×

body

256

valid

Bogosity

preprocess75.0ms (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)

simplify59.0ms (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))))))

eval9.0ms (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)

localize422.0ms (1.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))
✓	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)))
✓	11.1b	(tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))
✓	12.0b	(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)

series53.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
24.0ms	alphax	@	0	(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)))
7.0ms	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	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)))
2.0ms	alphax	@	-inf	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))))))
2.0ms	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)))

rewrite146.0ms (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	232
1	516	184
2	6840	184

Stop Event

1×	node limit

Counts

4 → 100

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)))
(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 (PI.f32) (+.f32 (.f32 2 u1) 1/2))

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

simplify132.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1300×	`associate-/l*`
1252×	`distribute-lft-in`
1218×	`distribute-rgt-in`
660×	`associate-/r*`
568×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	323	13236
1	761	12642
2	3270	12642

Stop Event

1×	node limit

Counts

196 → 156

Calls

Call 1

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

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)))
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(/.f32 (fma.f32 4 (*.f32 u1 u1) -1/4) (/.f32 (fma.f32 2 u1 -1/2) (PI.f32)))
(.f32 (/.f32 (PI.f32) (fma.f32 2 u1 -1/2)) (fma.f32 (.f32 u1 u1) 4 -1/4))
(/.f32 (.f32 (PI.f32) (+.f32 1/8 (.f32 8 (pow.f32 u1 3)))) (+.f32 1/4 (-.f32 (.f32 4 (.f32 u1 u1)) u1)))
(/.f32 (+.f32 1/8 (.f32 (pow.f32 u1 3) 8)) (/.f32 (+.f32 1/4 (fma.f32 4 (.f32 u1 u1) (neg.f32 u1))) (PI.f32)))
(/.f32 (fma.f32 (pow.f32 u1 3) 8 1/8) (/.f32 (+.f32 1/4 (-.f32 (.f32 (.f32 u1 u1) 4) u1)) (PI.f32)))
(.f32 (/.f32 (PI.f32) (+.f32 (.f32 u1 (*.f32 u1 4)) (-.f32 1/4 u1))) (fma.f32 (pow.f32 u1 3) 8 1/8))
(/.f32 (.f32 (+.f32 (.f32 4 (*.f32 u1 u1)) -1/4) (PI.f32)) (fma.f32 2 u1 -1/2))
(/.f32 (fma.f32 4 (*.f32 u1 u1) -1/4) (/.f32 (fma.f32 2 u1 -1/2) (PI.f32)))
(.f32 (/.f32 (PI.f32) (fma.f32 2 u1 -1/2)) (fma.f32 (.f32 u1 u1) 4 -1/4))
(/.f32 (.f32 (+.f32 1/8 (.f32 8 (pow.f32 u1 3))) (PI.f32)) (+.f32 1/4 (-.f32 (.f32 4 (.f32 u1 u1)) u1)))
(/.f32 (+.f32 1/8 (.f32 (pow.f32 u1 3) 8)) (/.f32 (+.f32 1/4 (fma.f32 4 (.f32 u1 u1) (neg.f32 u1))) (PI.f32)))
(/.f32 (fma.f32 (pow.f32 u1 3) 8 1/8) (/.f32 (+.f32 1/4 (-.f32 (.f32 (.f32 u1 u1) 4) u1)) (PI.f32)))
(.f32 (/.f32 (PI.f32) (+.f32 (.f32 u1 (*.f32 u1 4)) (-.f32 1/4 u1))) (fma.f32 (pow.f32 u1 3) 8 1/8))
(/.f32 (-.f32 (.f32 (.f32 (PI.f32) (.f32 2 u1)) (.f32 (PI.f32) (.f32 2 u1))) (.f32 (.f32 (PI.f32) 1/2) (.f32 (PI.f32) 1/2))) (-.f32 (.f32 (PI.f32) (.f32 2 u1)) (*.f32 (PI.f32) 1/2)))
(/.f32 (.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)) (.f32 (PI.f32) (-.f32 (.f32 2 u1) 1/2))) (.f32 (PI.f32) (-.f32 (.f32 2 u1) 1/2)))
(/.f32 (.f32 (pow.f32 (PI.f32) 2) (-.f32 (.f32 (.f32 u1 u1) 4) 1/4)) (.f32 (PI.f32) (fma.f32 2 u1 -1/2)))
(/.f32 (pow.f32 (PI.f32) 2) (/.f32 (.f32 (PI.f32) (fma.f32 2 u1 -1/2)) (-.f32 (.f32 u1 (*.f32 u1 4)) 1/4)))
(/.f32 (+.f32 (pow.f32 (.f32 (PI.f32) (.f32 2 u1)) 3) (pow.f32 (.f32 (PI.f32) 1/2) 3)) (+.f32 (.f32 (.f32 (PI.f32) (.f32 2 u1)) (.f32 (PI.f32) (.f32 2 u1))) (-.f32 (.f32 (.f32 (PI.f32) 1/2) (.f32 (PI.f32) 1/2)) (.f32 (.f32 (PI.f32) (.f32 2 u1)) (*.f32 (PI.f32) 1/2)))))
(/.f32 (+.f32 (pow.f32 (.f32 2 (.f32 u1 (PI.f32))) 3) (.f32 (pow.f32 (PI.f32) 3) 1/8)) (fma.f32 (.f32 2 (.f32 u1 (PI.f32))) (.f32 2 (.f32 u1 (PI.f32))) (.f32 (.f32 1/2 (PI.f32)) (-.f32 (.f32 1/2 (PI.f32)) (.f32 2 (.f32 u1 (PI.f32)))))))
(/.f32 (.f32 (pow.f32 (PI.f32) 3) (fma.f32 (pow.f32 u1 3) 8 1/8)) (fma.f32 (.f32 1/2 (PI.f32)) (.f32 (PI.f32) (-.f32 1/2 (.f32 2 u1))) (.f32 (pow.f32 (PI.f32) 2) (.f32 (*.f32 u1 u1) 4))))
(/.f32 (pow.f32 (PI.f32) 3) (/.f32 (fma.f32 (pow.f32 (PI.f32) 2) (.f32 u1 (.f32 u1 4)) (.f32 1/2 (.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1/2 (.f32 2 u1)))))) (fma.f32 (pow.f32 u1 3) 8 1/8)))
(pow.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)) 1)
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 2)
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) 3)
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(pow.f32 (pow.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)) 3) 1/3)
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)) 2))
(fabs.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (fma.f32 2 u1 1/2)))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)) 3))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 (fma.f32 2 u1 1/2) 3)))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(cbrt.f32 (*.f32 (pow.f32 (fma.f32 2 u1 1/2) 3) (pow.f32 (PI.f32) 3)))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(exp.f32 (log.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 1))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(fma.f32 (PI.f32) (.f32 2 u1) (.f32 (PI.f32) 1/2))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
(fma.f32 (.f32 2 u1) (PI.f32) (.f32 (PI.f32) 1/2))
(*.f32 (PI.f32) (fma.f32 2 u1 1/2))

eval753.0ms (2.6%)

Compiler: Compiled 39154 to 26670 computations (31.9% saved)

prune146.0ms (0.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	439	4	443
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	440	4	444

Error

0.2b

Counts

444 → 4

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 (log.f32 (exp.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) (+.f32 (*.f32 2 u1) 1/2)))))) alphax))) (-.f32 1 u0))))))
▶	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))))))
▶	0.8b	(/.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))))))
▶	15.4b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.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 u0))))))

Compiler

Compiled 194 to 146 computations (24.7% saved)

localize192.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax) 2)
✓	0.4b	(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
✓	11.1b	(tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))
✓	12.0b	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))

Compiler

Compiled 226 to 148 computations (34.5% saved)

series15.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite128.0ms (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	132
1	413	132
2	5088	132

Stop Event

1×	node limit

Counts

4 → 215

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)))
(*.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)

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

simplify197.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1240×	`times-frac`
1232×	`associate-/l*`
858×	`associate-/l/`
818×	`associate-/r*`
794×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	572	19665
1	1403	18863
2	7817	18863

Stop Event

1×	node limit

Counts

311 → 271

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

localize184.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.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)
	11.1b	(tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))

Compiler

Compiled 226 to 148 computations (34.5% saved)

series26.0ms (0.1%)

Counts

2 → 72

Calls

18 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)
2.0ms	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))))
2.0ms	alphay	@	inf	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))
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)

rewrite130.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1820×	`associate-/r*`
1504×	`associate-/l*`
422×	`add-sqr-sqrt`
414×	`*-un-lft-identity`
412×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	86
1	414	86
2	5130	86

Stop Event

1×	node limit

Counts

2 → 252

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.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))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) (*.f32 (/.f32 1 alphay) (/.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 *.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))))) (#(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) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (/.f32 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simplify258.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1350×	`associate-/l*`
1346×	`associate-/l/`
932×	`associate-/r/`
922×	`times-frac`
846×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	736	21344
1	1847	21266

Stop Event

1×	node limit

Counts

324 → 336

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

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

localize311.0ms (1.1%)

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)
	11.1b	(tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))
	12.0b	(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)

series17.0ms (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	@	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)
2.0ms	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	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)

rewrite91.0ms (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))))))

simplify100.0ms (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)))))
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(+.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 (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 (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 (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 (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 (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 (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 (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 (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 (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))))
(.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)))
(.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)))
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(.f32 (pow.f32 (cbrt.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 (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)))
(.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))))
(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 (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 (pow.f32 (cbrt.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 (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)))
(.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))

localize486.0ms (1.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	11.1b	(tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))
	12.0b	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))
	12.0b	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))))))
✓	12.4b	(log.f32 (exp.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))

Compiler

Compiled 699 to 453 computations (35.2% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite79.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1528×	`associate-*r/`
1226×	`associate-*l/`
902×	`associate-/r*`
394×	`add-sqr-sqrt`
386×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	41
1	396	41
2	4630	41

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

Inputs
(log.f32 (exp.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))

Outputs

((#(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)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))) (log.f32 (sqrt.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 +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) 2)) (log.f32 (cbrt.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 +.f32 (log.f32 (cbrt.f32 (exp.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))) (log.f32 (pow.f32 (cbrt.f32 (exp.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 0 (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 (+.f32 0 (log.f32 (sqrt.f32 (exp.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))))) (log.f32 (sqrt.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 +.f32 (+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) 2))) (log.f32 (cbrt.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 -.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 (+.f32 0 (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 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 (sqrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) (sqrt.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 (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 (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 (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 (*.f32 (sqrt.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))) 1) (sqrt.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 (*.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) 1) (cbrt.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 (/.f32 1 (*.f32 (cbrt.f32 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) (cbrt.f32 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (cbrt.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 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 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 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))))))))))))

simplify145.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

972×	`fma-def`
964×	`distribute-lft-in`
894×	`*-commutative`
798×	`distribute-rgt-in`
758×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	91	3374
1	161	3200
2	533	3200
3	2509	3200
4	6263	3200

Stop Event

1×	node limit

Counts

70 → 43

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

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

eval1.3s (4.4%)

Compiler: Compiled 69264 to 48461 computations (30% saved)

prune537.0ms (1.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	1144	9	1153
Fresh	0	0	0
Picked	1	0	1
Done	2	1	3
Total	1147	10	1157

Error

0.2b

Counts

1157 → 10

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 (/.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))))))
▶	0.2b	(/.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 (log.f32 (exp.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))))))
▶	2.2b	(/.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) (.f32 2 u1)))))) alphax)) 2) (-.f32 1 u0))))))
	13.5b	(/.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) (.f32 2 u1)))))) 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 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))) 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))))))
	15.5b	(/.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))))))
✓	0.8b	(/.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))))))
▶	15.2b	(/.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) (.f32 2 u1)))))) alphay) 2) (-.f32 1 u0))))))
▶	0.8b	(/.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))))))
	3.6b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphax) 2) (-.f32 1 u0))))))

Compiler

Compiled 760 to 590 computations (22.4% saved)

localize312.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	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 (log.f32 (exp.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) alphax)) 2)
	11.1b	(tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))
	12.0b	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))
	12.4b	(log.f32 (exp.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))

Compiler

Compiled 426 to 279 computations (34.5% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	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 (log.f32 (exp.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) alphax)) 2)
0.0ms	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 (log.f32 (exp.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) alphax)) 2)
0.0ms	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 (log.f32 (exp.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) alphax)) 2)
0.0ms	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 (log.f32 (exp.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) alphax)) 2)
0.0ms	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 (log.f32 (exp.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/`
558×	`associate-/r/`
506×	`add-sqr-sqrt`
498×	`*-un-lft-identity`
492×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	105
1	509	105
2	6185	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 (log.f32 (exp.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 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(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 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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 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(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 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(/.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))))))

simplify96.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1654×	`associate-r`
1348×	`associate-/r*`
1334×	`associate-l`
1292×	`associate-/l*`
990×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	172	10635
1	483	8375
2	2148	6941

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)))))
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(+.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 (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 (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 (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 (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 (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 (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 (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 (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 (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))))
(.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)))
(.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 (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 (.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)))
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(.f32 (pow.f32 (cbrt.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 (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)))
(.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))))
(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 (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 (pow.f32 (cbrt.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 (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)))
(.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 (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 (.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 (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) 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)) (fma.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)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) 4)))
(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))

localize193.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.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)
✓	8.4b	(.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)

series18.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

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

rewrite125.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1638×	`associate-/l*`
466×	`associate-/r/`
444×	`add-sqr-sqrt`
432×	`*-un-lft-identity`
430×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	140
1	438	140
2	5484	140

Stop Event

1×	node limit

Counts

4 → 207

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (tan.f32 (.f32 1/2 (PI.f32))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (tan.f32 (.f32 1/2 (PI.f32))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (tan.f32 (.f32 1/2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (tan.f32 (.f32 1/2 (PI.f32)))) (sqrt.f32 (tan.f32 (.f32 1/2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (tan.f32 (.f32 1/2 (PI.f32)))) (pow.f32 (cbrt.f32 (tan.f32 (.f32 1/2 (PI.f32)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (tan.f32 (.f32 1/2 (PI.f32)))) 2) (cbrt.f32 (tan.f32 (.f32 1/2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sin.f32 (.f32 1/2 (PI.f32))) (/.f32 1 (cos.f32 (.f32 1/2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (cos.f32 (.f32 1/2 (PI.f32)))) (sin.f32 (.f32 1/2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 1 (tan.f32 (.f32 1/2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (.f32 1/2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (sin.f32 (.f32 1/2 (PI.f32)))) (/.f32 (cos.f32 (.f32 1/2 (PI.f32))) (sqrt.f32 (sin.f32 (.f32 1/2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (cbrt.f32 (sin.f32 (.f32 1/2 (PI.f32)))) (cbrt.f32 (sin.f32 (.f32 1/2 (PI.f32))))) (/.f32 (cos.f32 (.f32 1/2 (PI.f32))) (cbrt.f32 (sin.f32 (.f32 1/2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (sin.f32 (.f32 1/2 (PI.f32)))) (neg.f32 (cos.f32 (.f32 1/2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (tan.f32 (.f32 1/2 (PI.f32))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (tan.f32 (.f32 1/2 (PI.f32)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (tan.f32 (.f32 1/2 (PI.f32)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (tan.f32 (.f32 1/2 (PI.f32))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (tan.f32 (.f32 1/2 (PI.f32))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (tan.f32 (.f32 1/2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (tan.f32 (.f32 1/2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (tan.f32 (.f32 1/2 (PI.f32))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (tan.f32 (.f32 1/2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (tan.f32 (.f32 1/2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (tan.f32 (.f32 1/2 (PI.f32)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (tan.f32 (.f32 1/2 (PI.f32)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphax alphay))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 alphay (/.f32 alphax (tan.f32 (.f32 1/2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 alphay (/.f32 (/.f32 alphax (tan.f32 (.f32 1/2 (PI.f32)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 alphay (/.f32 (.f32 alphax (cos.f32 (.f32 1/2 (PI.f32)))) (sin.f32 (.f32 1/2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 alphay alphax) (/.f32 1 (tan.f32 (.f32 1/2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 alphax (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (/.f32 alphax alphay) (tan.f32 (.f32 1/2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (/.f32 alphax (tan.f32 (.f32 1/2 (PI.f32)))) alphay))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (.f32 (/.f32 alphax alphay) (cos.f32 (.f32 1/2 (PI.f32)))) (sin.f32 (.f32 1/2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 alphay) (/.f32 (/.f32 alphax (tan.f32 (.f32 1/2 (PI.f32)))) (sqrt.f32 alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 alphay) (/.f32 alphax (.f32 (sqrt.f32 alphay) (tan.f32 (.f32 1/2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (tan.f32 (.f32 1/2 (PI.f32)))) (/.f32 (/.f32 alphax alphay) (sqrt.f32 (tan.f32 (.f32 1/2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (cbrt.f32 alphay) (/.f32 (/.f32 alphax (tan.f32 (.f32 1/2 (PI.f32)))) (cbrt.f32 (.f32 alphay alphay))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (cbrt.f32 (.f32 alphay alphay)) (/.f32 (/.f32 alphax (tan.f32 (.f32 1/2 (PI.f32)))) (cbrt.f32 alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (cbrt.f32 (.f32 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(/.f32 alphax (sqrt.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (cbrt.f32 (sin.f32 (.f32 1/2 (PI.f32)))) (cbrt.f32 (sin.f32 (.f32 1/2 (PI.f32))))) (/.f32 (.f32 (/.f32 alphax alphay) (cos.f32 (.f32 1/2 (PI.f32)))) (cbrt.f32 (sin.f32 (.f32 1/2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (cbrt.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay)) (cbrt.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay))) (/.f32 alphax (cbrt.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 alphay (sqrt.f32 (tan.f32 (.f32 1/2 (PI.f32))))) (/.f32 alphax (sqrt.f32 (tan.f32 (.f32 1/2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 alphay (pow.f32 (cbrt.f32 (tan.f32 (.f32 1/2 (PI.f32)))) 2)) (/.f32 alphax (cbrt.f32 (tan.f32 (.f32 1/2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (neg.f32 alphay)) (neg.f32 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(tan.f32 (.f32 1/2 (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) 1) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) (/.f32 alphax alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) (neg.f32 alphay)) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) (neg.f32 alphax)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (neg.f32 alphay) (sin.f32 (.f32 1/2 (PI.f32)))) (.f32 (neg.f32 alphax) (cos.f32 (.f32 1/2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay)) (neg.f32 alphax))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))) 3)))) (#(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 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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) 2))))) 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egg-rr> (2) ((x pow.f32 (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) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (pow.f32 (-.f32 1 u0) 2) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (-.f32 1 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (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))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2) 3) (pow.f32 (-.f32 1 u0) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (-.f32 1 u0) 3) (pow.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.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))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.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))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.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))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.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))))))))

simplify174.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

868×	`associate-/l*`
710×	`associate-r`
698×	`associate-/r/`
614×	`associate-/r*`
602×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	521	15989
1	1276	15577
2	6744	15577

Stop Event

1×	node limit

Counts

291 → 281

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

localize157.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.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) (.f32 2 u1)))))) alphay) 2) (-.f32 1 u0))))))
✓	0.3b	(.f32 (PI.f32) (.f32 2 u1))
✓	0.4b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
✓	0.5b	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2)

Compiler

Compiled 212 to 134 computations (36.8% saved)

series65.0ms (0.2%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
16.0ms	alphay	@	inf	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2)
8.0ms	u0	@	inf	(/.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) (.f32 2 u1)))))) alphay) 2) (-.f32 1 u0))))))
3.0ms	u0	@	-inf	(/.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) (.f32 2 u1)))))) alphay) 2) (-.f32 1 u0))))))
3.0ms	alphay	@	inf	(/.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) (.f32 2 u1)))))) alphay) 2) (-.f32 1 u0))))))
2.0ms	alphay	@	-inf	(/.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) (.f32 2 u1)))))) alphay) 2) (-.f32 1 u0))))))

rewrite129.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

572×	`add-sqr-sqrt`
560×	`*-un-lft-identity`
558×	`pow1`
524×	`add-exp-log`
524×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	182
1	558	178
2	7478	178

Stop Event

1×	node limit

Counts

4 → 108

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) (.f32 (/.f32 1 alphay) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 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simplify255.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

848×	`associate-r`
756×	`+-commutative`
666×	`associate-l`
570×	`*-commutative`
550×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	544	23776
1	1556	23168
2	6812	23168

Stop Event

1×	node limit

Counts

240 → 230

Calls

Call 1

Inputs
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
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(/.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))) (pow.f32 (cbrt.f32 alphax) 2)) (cbrt.f32 alphax))
(/.f32 (.f32 (neg.f32 alphay) (sin.f32 (.f32 (PI.f32) (.f32 2 u1)))) (.f32 (neg.f32 alphax) (cos.f32 (.f32 (PI.f32) (.f32 2 u1)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) alphay) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u1))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) 1) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u1))) (/.f32 alphax alphay)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) (neg.f32 alphay)) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 u1))) (neg.f32 alphax)))
(/.f32 (neg.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))) (neg.f32 alphax))
(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))) 1)
(pow.f32 (sqrt.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))) 2)
(pow.f32 (cbrt.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))) 3)
(pow.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))) 3) 1/3)
(sqrt.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))) 2))
(log.f32 (pow.f32 (exp.f32 (/.f32 alphay alphax)) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))))
(cbrt.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))) 3))
(cbrt.f32 (.f32 (pow.f32 (/.f32 alphay alphax) 3) (pow.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) 3)))
(cbrt.f32 (.f32 (pow.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) 3) (pow.f32 (/.f32 alphay alphax) 3)))
(expm1.f32 (log1p.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))))
(exp.f32 (log.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))))
(exp.f32 (.f32 (log.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1))))) 1))
(log1p.f32 (expm1.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 2 u1)))) 1)
(pow.f32 (.f32 (PI.f32) (.f32 2 u1)) 1)
(pow.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 2 u1))) 2)
(pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 2 u1))) 3)
(pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 2 u1)) 3) 1/3)
(sqrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 2 u1)) 2))
(log.f32 (pow.f32 (pow.f32 (exp.f32 2) u1) (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (PI.f32) (.f32 2 u1)))))
(cbrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 2 u1)) 3))
(cbrt.f32 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 (.f32 2 u1) 3)))
(cbrt.f32 (.f32 (pow.f32 (.f32 2 u1) 3) (pow.f32 (PI.f32) 3)))
(expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 2 u1))))
(exp.f32 (log.f32 (.f32 (PI.f32) (.f32 2 u1))))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (*.f32 2 u1))) 1))
(log1p.f32 (expm1.f32 (.f32 (PI.f32) (.f32 2 u1))))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2)) (-.f32 1 u0))) -1/2))) 1)
(.f32 1 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) 2)) (-.f32 1 u0))) -1/2))
(.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) 2)) (-.f32 1 u0))) -1/2) 1)
(.f32 (pow.f32 (hypot.f32 1 (/.f32 (sqrt.f32 u0) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) (sqrt.f32 (-.f32 1 u0))))) -1/2) (pow.f32 (hypot.f32 1 (/.f32 (sqrt.f32 u0) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))) alphay) (sqrt.f32 (-.f32 1 u0))))) -1/2))
(.f32 (cbrt.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) 2)) (-.f32 1 u0))) -1/2)) (cbrt.f32 (/.f32 1 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2)) (-.f32 1 u0))))))
(.f32 (cbrt.f32 (/.f32 1 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) 2)) (-.f32 1 u0))))) (cbrt.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2)) (-.f32 1 u0))) -1/2)))
(.f32 -1 (/.f32 1 (neg.f32 (hypot.f32 1 (/.f32 (sqrt.f32 u0) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))) alphay) (sqrt.f32 (-.f32 1 u0))))))))
(.f32 (pow.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) 2)) (-.f32 1 u0))) 1/4) -1) (pow.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2)) (-.f32 1 u0))) 1/4) -1))
(.f32 (pow.f32 (cbrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) 2)) (-.f32 1 u0)))) -1) (pow.f32 (cbrt.f32 (hypot.f32 1 (/.f32 (sqrt.f32 u0) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) (sqrt.f32 (-.f32 1 u0)))))) -1))
(pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2)) (-.f32 1 u0))) -1/2)
(pow.f32 (hypot.f32 1 (/.f32 (sqrt.f32 u0) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) (sqrt.f32 (-.f32 1 u0))))) -1)
(pow.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2)) (-.f32 1 u0))) -1/2) 1)
(pow.f32 (pow.f32 (hypot.f32 1 (/.f32 (sqrt.f32 u0) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) (sqrt.f32 (-.f32 1 u0))))) -1/2) 2)
(pow.f32 (cbrt.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2)) (-.f32 1 u0))) -1/2)) 3)
(pow.f32 (pow.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2)) (-.f32 1 u0))) -1/2) 3) 1/3)
(sqrt.f32 (/.f32 1 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2)) (-.f32 1 u0)))))
(log.f32 (exp.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2)) (-.f32 1 u0))) -1/2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2)) (-.f32 1 u0))) -1/2))))
(cbrt.f32 (pow.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2)) (-.f32 1 u0))) -1/2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2)) (-.f32 1 u0))) -1/2)))
(exp.f32 (neg.f32 (.f32 1/2 (log1p.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) 2)) (-.f32 1 u0))))))
(exp.f32 (.f32 (.f32 1/2 (log1p.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2)) (-.f32 1 u0)))) -1))
(exp.f32 (.f32 (neg.f32 (.f32 1/2 (log1p.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2)) (-.f32 1 u0))))) 1))
(log1p.f32 (expm1.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2)) (-.f32 1 u0))) -1/2)))

Outputs
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 (PI.f32) 2) u1))))) alphay) 2)
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32))))))) alphay) 2)
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 (PI.f32) 2) u1))))) alphay) 2)
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32))))))) alphay) 2)
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 (PI.f32) 2) u1))))) alphay) 2)
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32))))))) alphay) 2)
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 (PI.f32) 2) u1))))) alphay) 2)
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32))))))) alphay) 2)
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 (PI.f32) 2) u1))))) alphay) 2)
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32))))))) alphay) 2)
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 (PI.f32) 2) u1))))) alphay) 2)
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32))))))) alphay) 2)
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 (PI.f32) 2) u1))))) alphay) 2)
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32))))))) alphay) 2)
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 (PI.f32) 2) u1))))) alphay) 2)
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32))))))) alphay) 2)
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 (PI.f32) 2) u1))))) alphay) 2)
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32))))))) alphay) 2)
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 (PI.f32) 2) u1))))) alphay) 2)
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32))))))) alphay) 2)
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 (PI.f32) 2) u1))))) alphay) 2)
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32))))))) alphay) 2)
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 (PI.f32) 2) u1))))) alphay) 2)
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32))))))) alphay) 2)
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 (PI.f32) 2) u1))))) alphay) 2)
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32))))))) alphay) 2)
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 (PI.f32) 2) u1))))) alphay) 2)
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32))))))) alphay) 2)
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 (PI.f32) 2) u1))))) alphay) 2)
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32))))))) alphay) 2)
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 (PI.f32) 2) u1))))) alphay) 2)
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32))))))) alphay) 2)
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 2))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 (PI.f32) 2) u1))))) alphay) 2)
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32))))))) alphay) 2)
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(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2)) (-.f32 1 u0))) -1/2))))
(pow.f32 (+.f32 1 (/.f32 u0 (.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (.f32 (PI.f32) 2) u1))))) alphay) 2)))) -1/2)
(pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32))))))) alphay) 2))) -1/2)
(cbrt.f32 (pow.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2)) (-.f32 1 u0))) -1/2) 3))
(pow.f32 (+.f32 1 (/.f32 u0 (.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (.f32 (PI.f32) 2) u1))))) alphay) 2)))) -1/2)
(pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32))))))) alphay) 2))) -1/2)
(expm1.f32 (log1p.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2)) (-.f32 1 u0))) -1/2)))
(pow.f32 (+.f32 1 (/.f32 u0 (.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (.f32 (PI.f32) 2) u1))))) alphay) 2)))) -1/2)
(pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32))))))) alphay) 2))) -1/2)
(exp.f32 (neg.f32 (.f32 1/2 (log1p.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) 2)) (-.f32 1 u0))))))
(exp.f32 (.f32 -1/2 (log1p.f32 (/.f32 u0 (.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 (PI.f32) 2) u1))))) alphay) 2))))))
(pow.f32 (exp.f32 -1/2) (log1p.f32 (/.f32 (/.f32 u0 (-.f32 1 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32))))))) alphay) 2))))
(exp.f32 (.f32 (.f32 1/2 (log1p.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2)) (-.f32 1 u0)))) -1))
(exp.f32 (.f32 -1/2 (log1p.f32 (/.f32 u0 (.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 (PI.f32) 2) u1))))) alphay) 2))))))
(pow.f32 (exp.f32 -1/2) (log1p.f32 (/.f32 (/.f32 u0 (-.f32 1 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32))))))) alphay) 2))))
(exp.f32 (.f32 (neg.f32 (.f32 1/2 (log1p.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2)) (-.f32 1 u0))))) 1))
(exp.f32 (.f32 -1/2 (log1p.f32 (/.f32 u0 (.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 (PI.f32) 2) u1))))) alphay) 2))))))
(pow.f32 (exp.f32 -1/2) (log1p.f32 (/.f32 (/.f32 u0 (-.f32 1 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32))))))) alphay) 2))))
(log1p.f32 (expm1.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2)) (-.f32 1 u0))) -1/2)))
(pow.f32 (+.f32 1 (/.f32 u0 (.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (.f32 (PI.f32) 2) u1))))) alphay) 2)))) -1/2)
(pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32))))))) alphay) 2))) -1/2)

localize407.0ms (1.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	8.4b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))
	11.1b	(tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))
	12.0b	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))
	31.7b	(tan.f32 (*.f32 1/2 (PI.f32)))

Compiler

Compiled 378 to 240 computations (36.5% saved)

localize330.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(.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 (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) (*.f32 2 u1)))))) alphax)) 2)
	11.1b	(tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))

Compiler

Compiled 407 to 255 computations (37.3% saved)

series17.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) alphax)) 2)
2.0ms	u1	@	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) (*.f32 2 u1)))))) alphax)) 2)
2.0ms	u1	@	-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) (*.f32 2 u1)))))) alphax)) 2)
2.0ms	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) (*.f32 2 u1)))))) alphax)) 2)

rewrite109.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

598×	`add-sqr-sqrt`
590×	`*-un-lft-identity`
586×	`pow1`
546×	`add-exp-log`
546×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	103
1	585	103
2	7423	103

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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) alphax) 2) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) alphax) 2) 3)) (+.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 (*.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1)))))) alphax) 2) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) alphax) 2))))))

simplify169.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1608×	`associate-r`
1340×	`associate-/l*`
1326×	`associate-l`
1300×	`associate-/r*`
946×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	192	8971
1	507	6741
2	2163	6741

Stop Event

1×	node limit

Counts

59 → 63

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 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphax 2)) (/.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 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (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 1/4 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (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 2 (.f32 u1 (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 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (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 2 (.f32 u1 (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 2 (.f32 u1 (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 -1/8 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (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 2 (.f32 u1 (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 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphax 2))
(+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphax 2)) (/.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 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (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 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 4)))) (.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 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 4)))))))
(+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (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 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 4)))) (+.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 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 4) (pow.f32 alphay 6)))) (+.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 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 4) (pow.f32 alphay 6)))) (.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 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 4)))))))))
(/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphax 2))
(+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphax 2)) (/.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 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (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 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 4)))) (.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 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 4)))))))
(+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (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 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 4)))) (+.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 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 4) (pow.f32 alphay 6)))) (+.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 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 4) (pow.f32 alphay 6)))) (.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 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphay 4)))))))))
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(.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) (.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (.f32 2 u1)))))) 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) (.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (.f32 2 u1)))))) 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) (.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (.f32 2 u1)))))) alphax) 2) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (.f32 2 u1)))))) alphax) 2) 3)) (+.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 (.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphax) 2) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphax 2)) (/.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 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 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 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 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) (/.f32 alphay alphax)))) alphax) 2))
(+.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 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) alphax) 2))
(+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (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 1/4 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (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 2 (.f32 u1 (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 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 2) (.f32 alphax alphax)) (+.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 (.f32 alphay alphay) (.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 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 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 u1 (.f32 2 (PI.f32)))) (/.f32 alphay alphax)))) alphax) 2) (fma.f32 (.f32 alphay alphay) 0 (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 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) alphax) 2) (fma.f32 (.f32 alphay alphay) 0 (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 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (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 2 (.f32 u1 (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 2 (.f32 u1 (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 -1/8 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (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 2 (.f32 u1 (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 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 2) (.f32 alphax alphax)) (+.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 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 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 (.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 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 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) 2) (+.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 u1 (.f32 2 (PI.f32)))) (/.f32 alphay alphax)))) alphax) 2) (fma.f32 (.f32 alphay alphay) 0 (*.f32 (pow.f32 alphay 4) 0))))
(+.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) (+.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) alphax) 2) (fma.f32 (.f32 alphay alphay) 0 (*.f32 (pow.f32 alphay 4) 0))))
(/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphax 2))
(/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 2) (.f32 alphax alphax))
(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) (/.f32 alphay alphax)))) alphax) 2)
(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) alphax) 2)
(+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 2) (pow.f32 alphax 2)) (/.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 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 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 2) (*.f32 alphax alphax)))
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(/.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 (tan.f32 (.f32 u1 (.f32 2 (PI.f32)))) (/.f32 alphay alphax)))) 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 (tan.f32 (.f32 u1 (.f32 2 (PI.f32)))) (/.f32 alphay alphax)))) 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) (.f32 2 u1)))))) alphax) 2) 3)) (+.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 (.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphax) 2) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) 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) (*.f32 2 u1)))))) 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 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 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 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) alphax) 4) (.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 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 (tan.f32 (.f32 u1 (.f32 2 (PI.f32)))) (/.f32 alphay alphax)))) alphax) 2) 3)) (fma.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 u1 (.f32 2 (PI.f32)))) (/.f32 alphay alphax)))) alphax) 2) (-.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 u1 (.f32 2 (PI.f32)))) (/.f32 alphay alphax)))) 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)) (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 (+.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 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) alphax) 2) 3)) (fma.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) alphax) 2) (-.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 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)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphay) 4)))
(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) (*.f32 2 u1)))))) 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 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 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 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) (/.f32 alphay alphax)))) 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) (*.f32 2 u1)))))) 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 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 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 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) (/.f32 alphay alphax)))) 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) (*.f32 2 u1)))))) 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 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 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 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) (/.f32 alphay alphax)))) 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) (*.f32 2 u1)))))) 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 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 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 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) (/.f32 alphay alphax)))) 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) (*.f32 2 u1)))))) 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 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 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 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) (/.f32 alphay alphax)))) 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) (.f32 2 u1)))))) 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 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 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 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) (/.f32 alphay alphax)))) 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) (*.f32 2 u1)))))) 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 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 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 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) (/.f32 alphay alphax)))) 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) (*.f32 2 u1)))))) 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 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 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 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) (/.f32 alphay alphax)))) 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) (*.f32 2 u1)))))) 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 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 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 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) (/.f32 alphay alphax)))) alphax) 2))
(+.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 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) alphax) 2))

eval1.6s (5.6%)

Compiler: Compiled 72721 to 51031 computations (29.8% saved)

prune884.0ms (3.1%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	1231	10	1241
Fresh	1	3	4
Picked	0	1	1
Done	3	2	5
Total	1235	16	1251

Error

0.2b

Counts

1251 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	15.1b	(pow.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32))))))) alphay) 2))) 1/4) -2)
	0.8b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (/.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2) (/.f32 1 (-.f32 1 u0)))))))
	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 (/.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))))))
▶	0.2b	(/.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 (log.f32 (exp.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))))))
✓	2.2b	(/.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) (.f32 2 u1)))))) alphax)) 2) (-.f32 1 u0))))))
	13.5b	(/.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) (.f32 2 u1)))))) 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))))))
	3.5b	(/.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) (.f32 2 u1)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))) alphax)) 2) (-.f32 1 u0))))))
	0.6b	(/.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 1/2 (PI.f32)))))) alphay) (/.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))))))
▶	2.4b	(/.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 1/2 (PI.f32)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphax)) 2) (-.f32 1 u0))))))
▶	15.5b	(/.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))))))
▶	15.1b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (/.f32 2 (/.f32 alphax (.f32 u1 (*.f32 (PI.f32) alphay)))))) alphay) 2) (-.f32 1 u0))))))
✓	0.8b	(/.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))))))
✓	0.8b	(/.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))))))
	17.4b	(+.f32 1 (.f32 -1/2 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (.f32 (PI.f32) 2) u1))))) alphay) 2))))
▶	25.9b	(.f32 (sqrt.f32 (/.f32 (-.f32 1 u0) u0)) (/.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) alphay))
	2.6b	1

Compiler

Compiled 1041 to 810 computations (22.2% saved)

localize512.0ms (1.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	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 (log.f32 (exp.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) alphax)) 2)
✓	11.1b	(tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))
	11.1b	(tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))
✓	12.4b	(log.f32 (exp.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))))

Compiler

Compiled 485 to 324 computations (33.2% saved)

series410.0ms (1.4%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
316.0ms	u1	@	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 (log.f32 (exp.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) alphax)) 2)
45.0ms	alphax	@	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 (log.f32 (exp.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) alphax)) 2)
9.0ms	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 (log.f32 (exp.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) alphax)) 2)
8.0ms	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 (log.f32 (exp.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) alphax)) 2)
6.0ms	u1	@	0	(log.f32 (exp.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))))

rewrite150.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

792×	`associate-/r/`
544×	`add-sqr-sqrt`
532×	`*-un-lft-identity`
524×	`pow1`
496×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	175
1	616	175
2	6674	175

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

Inputs

(log.f32 (exp.f32 (/.f32 1 (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)))

(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 (log.f32 (exp.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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simplify442.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1586×	`associate-r`
1320×	`associate-/r*`
1286×	`associate-/l*`
1130×	`*-commutative`
1076×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	788	53313
1	2544	53295

Stop Event

1×	node limit

Counts

167 → 229

Calls

Call 1

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

localize110.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax)
✓	0.3b	(.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay)
✓	0.3b	(*.f32 u1 (PI.f32))
✓	0.4b	(.f32 (sqrt.f32 (/.f32 (-.f32 1 u0) u0)) (/.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) alphay))

Compiler

Compiled 115 to 65 computations (43.5% saved)

series11.0ms (0%)

Counts

4 → 88

Calls

30 calls:

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

rewrite106.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1054×	`associate-/r/`
506×	`add-sqr-sqrt`
496×	`pow1`
496×	`*-un-lft-identity`
464×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	132
1	490	132
2	6649	132

Stop Event

1×	node limit

Counts

4 → 123

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (+.f32 (/.f32 1 u0) -1)) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 alphay (.f32 (sqrt.f32 (+.f32 (/.f32 1 u0) -1)) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (+.f32 (/.f32 1 u0) -1)) (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (-.f32 1 u0)) (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1))))))) (sqrt.f32 u0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sqrt.f32 (+.f32 (/.f32 1 u0) -1)) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1))))))) alphay)))) 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u1))) alphay)) 2) (pow.f32 (cbrt.f32 alphax) 2)) (cbrt.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (/.f32 alphax (tan.f32 (.f32 (PI.f32) (.f32 2 u1))))) alphay)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (/.f32 alphax (sqrt.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) alphay)))) (sqrt.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (/.f32 alphax (pow.f32 (cbrt.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) alphay)) 2))) (cbrt.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) (neg.f32 alphax)) (neg.f32 alphay))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) (/.f32 alphax 1)) alphay)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) (/.f32 alphax (sqrt.f32 alphay))) (sqrt.f32 alphay))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) (/.f32 alphax (pow.f32 (cbrt.f32 alphay) 2))) (cbrt.f32 alphay))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))) (/.f32 alphax alphay)) (sqrt.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))) 2) (/.f32 alphax alphay)) (cbrt.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) alphay)) 2) alphax) (cbrt.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 alphax (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) alphay)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) alphay) (neg.f32 alphax)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) alphay) 3) (pow.f32 alphax 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1))))))))))

simplify130.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1242×	`distribute-lft-in`
1072×	`associate-/l/`
1044×	`associate-/r/`
608×	`associate-r`
470×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	447	10901
1	1174	10663
2	4583	10663

Stop Event

1×	node limit

Counts

211 → 209

Calls

Call 1

Inputs
(/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax)))) alphay)
(+.f32 (.f32 1/2 (/.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) (.f32 u0 (.f32 (sqrt.f32 -1) alphay)))) (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax)))) alphay))
(+.f32 (.f32 -1/8 (/.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) (.f32 (pow.f32 u0 2) (.f32 (pow.f32 (sqrt.f32 -1) 3) alphay)))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) (.f32 u0 (.f32 (sqrt.f32 -1) alphay)))) (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax)))) alphay)))
(+.f32 (.f32 -1/8 (/.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) (.f32 (pow.f32 u0 2) (.f32 (pow.f32 (sqrt.f32 -1) 3) alphay)))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) (.f32 u0 (.f32 (sqrt.f32 -1) alphay)))) (+.f32 (.f32 1/16 (/.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) (.f32 (pow.f32 u0 3) (.f32 (pow.f32 (sqrt.f32 -1) 5) alphay)))) (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax)))) alphay))))
(/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax)))) alphay)
(+.f32 (.f32 -1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax)))) (.f32 u0 alphay))) (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax)))) alphay))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax)))) (.f32 u0 alphay))) (+.f32 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax)))) alphay) (.f32 -1/8 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax)))) (.f32 (pow.f32 u0 2) alphay)))))
(+.f32 (.f32 -1/16 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax)))) (.f32 (pow.f32 u0 3) alphay))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax)))) (.f32 u0 alphay))) (+.f32 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax)))) alphay) (.f32 -1/8 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax)))) (.f32 (pow.f32 u0 2) alphay))))))
(.f32 (sqrt.f32 (/.f32 (-.f32 1 u0) u0)) (/.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) alphay))
(.f32 (sqrt.f32 (/.f32 (-.f32 1 u0) u0)) (/.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) alphay))
(.f32 (sqrt.f32 (/.f32 (-.f32 1 u0) u0)) (/.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) alphay))
(.f32 (sqrt.f32 (/.f32 (-.f32 1 u0) u0)) (/.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) alphay))
(.f32 (sqrt.f32 (/.f32 (-.f32 1 u0) u0)) (/.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) alphay))
(.f32 (sqrt.f32 (/.f32 (-.f32 1 u0) u0)) (/.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) alphay))
(.f32 (sqrt.f32 (/.f32 (-.f32 1 u0) u0)) (/.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) alphay))
(.f32 (sqrt.f32 (/.f32 (-.f32 1 u0) u0)) (/.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) alphay))
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(*.f32 (PI.f32) u1)
(.f32 2 (.f32 alphay (*.f32 (PI.f32) u1)))
(+.f32 (.f32 alphay (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 -4 (pow.f32 (PI.f32) 3))) (pow.f32 u1 3))) (.f32 2 (.f32 alphay (*.f32 (PI.f32) u1))))
(+.f32 (.f32 alphay (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 -4 (pow.f32 (PI.f32) 3))) (pow.f32 u1 3))) (+.f32 (.f32 alphay (.f32 (pow.f32 u1 5) (-.f32 (.f32 4/15 (pow.f32 (PI.f32) 5)) (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 5)) (.f32 -2 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 -4 (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 2))))))) (.f32 2 (.f32 alphay (*.f32 (PI.f32) u1)))))
(+.f32 (.f32 alphay (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 -4 (pow.f32 (PI.f32) 3))) (pow.f32 u1 3))) (+.f32 (.f32 (-.f32 (.f32 -8/315 (pow.f32 (PI.f32) 7)) (+.f32 (.f32 -2 (.f32 (pow.f32 (PI.f32) 2) (-.f32 (.f32 4/15 (pow.f32 (PI.f32) 5)) (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 5)) (.f32 -2 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 -4 (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 2))))))) (+.f32 (.f32 -8/45 (pow.f32 (PI.f32) 7)) (.f32 2/3 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 -4 (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 4)))))) (.f32 alphay (pow.f32 u1 7))) (+.f32 (.f32 alphay (.f32 (pow.f32 u1 5) (-.f32 (.f32 4/15 (pow.f32 (PI.f32) 5)) (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 5)) (.f32 -2 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 -4 (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 2))))))) (.f32 2 (.f32 alphay (*.f32 (PI.f32) u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(+.f32 (/.f32 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 -4 (pow.f32 (PI.f32) 3))) (.f32 alphay (pow.f32 u1 3))) alphax) (.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax)))
(+.f32 (.f32 2 (/.f32 (.f32 alphay (.f32 u1 (PI.f32))) alphax)) (+.f32 (/.f32 (.f32 alphay (.f32 (-.f32 (.f32 4/15 (pow.f32 (PI.f32) 5)) (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 5)) (.f32 -2 (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (.f32 -4 (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 2))))) (pow.f32 u1 5))) alphax) (/.f32 (.f32 alphay (.f32 (-.f32 (.f32 -4/3 (pow.f32 (PI.f32) 3)) (*.f32 -4 (pow.f32 (PI.f32) 3))) (pow.f32 u1 3))) alphax)))
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(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
(.f32 (/.f32 alphay (sqrt.f32 alphax)) (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (sqrt.f32 alphax)))
(.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) alphax) alphay)
(.f32 (.f32 1 (/.f32 alphay alphax)) (tan.f32 (.f32 (PI.f32) (.f32 2 u1))))
(.f32 (/.f32 1 (neg.f32 alphax)) (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) (neg.f32 alphay)))
(.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) 1) (/.f32 alphay alphax))
(.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (sqrt.f32 alphax)) (/.f32 alphay (sqrt.f32 alphax)))
(.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (pow.f32 (cbrt.f32 alphax) 2)) (/.f32 alphay (cbrt.f32 alphax)))
(.f32 (/.f32 alphay (pow.f32 (cbrt.f32 alphax) 2)) (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (cbrt.f32 alphax)))
(.f32 (/.f32 (sqrt.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) alphay)) 1) (/.f32 (sqrt.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) alphay)) alphax))
(.f32 (/.f32 (sqrt.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) alphay)) alphax) (sqrt.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) alphay)))
(.f32 (/.f32 (sqrt.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) alphay)) (pow.f32 (cbrt.f32 alphax) 2)) (/.f32 (sqrt.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) alphay)) (cbrt.f32 alphax)))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) alphay)) 2) 1) (/.f32 (cbrt.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) alphay)) alphax))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) alphay)) 2) (sqrt.f32 alphax)) (/.f32 (cbrt.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) alphay)) (sqrt.f32 alphax)))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) alphay)) 2) (pow.f32 (cbrt.f32 alphax) 2)) (cbrt.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))))
(.f32 (/.f32 1 (/.f32 alphax (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))) alphay)
(.f32 (/.f32 1 (/.f32 alphax (sqrt.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) alphay)))) (sqrt.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) alphay)))
(.f32 (/.f32 1 (/.f32 alphax (pow.f32 (cbrt.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) alphay)) 2))) (cbrt.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) alphay)))
(.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (neg.f32 alphax)) (neg.f32 alphay))
(.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphax 1)) alphay)
(.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphax (sqrt.f32 alphay))) (sqrt.f32 alphay))
(.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphax (pow.f32 (cbrt.f32 alphay) 2))) (cbrt.f32 alphay))
(.f32 (/.f32 (sqrt.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))) (/.f32 alphax alphay)) (sqrt.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))) 2) (/.f32 alphax alphay)) (cbrt.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) alphay)) 2) alphax) (cbrt.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) alphay)))
(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))) 1)
(pow.f32 (sqrt.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))) 2)
(pow.f32 (cbrt.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))) 3)
(pow.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))) 3) 1/3)
(pow.f32 (/.f32 alphax (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) alphay)) -1)
(neg.f32 (/.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) alphay) (neg.f32 alphax)))
(sqrt.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))) 2))
(log.f32 (exp.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))))
(cbrt.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))) 3))
(cbrt.f32 (/.f32 (pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) alphay) 3) (pow.f32 alphax 3)))
(expm1.f32 (log1p.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))))
(exp.f32 (log.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))))
(exp.f32 (.f32 (log.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1))))) 1))
(log1p.f32 (expm1.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))))

Outputs
(/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax)))) alphay)
(/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax))))) alphay)
(.f32 (/.f32 (sqrt.f32 -1) alphay) (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 2 (PI.f32)))) alphax)))))
(+.f32 (.f32 1/2 (/.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) (.f32 u0 (.f32 (sqrt.f32 -1) alphay)))) (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax)))) alphay))
(fma.f32 1/2 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax)))) (.f32 u0 (.f32 (sqrt.f32 -1) alphay))) (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))))) alphay))
(fma.f32 1/2 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 2 (PI.f32)))) alphax)))) (.f32 (sqrt.f32 -1) (.f32 alphay u0))) (.f32 (/.f32 (sqrt.f32 -1) alphay) (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) alphax))))))
(+.f32 (.f32 -1/8 (/.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) (.f32 (pow.f32 u0 2) (.f32 (pow.f32 (sqrt.f32 -1) 3) alphay)))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) (.f32 u0 (.f32 (sqrt.f32 -1) alphay)))) (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax)))) alphay)))
(fma.f32 -1/8 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax)))) (.f32 (.f32 u0 u0) (.f32 alphay (pow.f32 (sqrt.f32 -1) 3)))) (fma.f32 1/2 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax)))) (.f32 u0 (.f32 (sqrt.f32 -1) alphay))) (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))))) alphay)))
(fma.f32 -1/8 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 2 (PI.f32)))) alphax)))) (.f32 (.f32 u0 u0) (.f32 (sqrt.f32 -1) (neg.f32 alphay)))) (fma.f32 1/2 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 2 (PI.f32)))) alphax)))) (.f32 (sqrt.f32 -1) (.f32 alphay u0))) (.f32 (/.f32 (sqrt.f32 -1) alphay) (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) alphax)))))))
(+.f32 (.f32 -1/8 (/.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) (.f32 (pow.f32 u0 2) (.f32 (pow.f32 (sqrt.f32 -1) 3) alphay)))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) (.f32 u0 (.f32 (sqrt.f32 -1) alphay)))) (+.f32 (.f32 1/16 (/.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) (.f32 (pow.f32 u0 3) (.f32 (pow.f32 (sqrt.f32 -1) 5) alphay)))) (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax)))) alphay))))
(fma.f32 -1/8 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax)))) (.f32 (.f32 u0 u0) (.f32 alphay (pow.f32 (sqrt.f32 -1) 3)))) (fma.f32 1/2 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax)))) (.f32 u0 (.f32 (sqrt.f32 -1) alphay))) (fma.f32 1/16 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax)))) (.f32 (pow.f32 u0 3) (.f32 alphay (pow.f32 (sqrt.f32 -1) 5)))) (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax))))) alphay))))
(fma.f32 -1/8 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 2 (PI.f32)))) alphax)))) (.f32 (.f32 u0 u0) (.f32 (sqrt.f32 -1) (neg.f32 alphay)))) (fma.f32 1/2 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 2 (PI.f32)))) alphax)))) (.f32 (sqrt.f32 -1) (.f32 alphay u0))) (fma.f32 1/16 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 2 (PI.f32)))) alphax)))) (.f32 alphay (.f32 (pow.f32 u0 3) (pow.f32 (sqrt.f32 -1) 5)))) (.f32 (/.f32 (sqrt.f32 -1) alphay) (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 2 (PI.f32)))) alphax))))))))
(/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax)))) alphay)
(/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax))))) alphay)
(.f32 (/.f32 (sqrt.f32 -1) alphay) (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 2 (PI.f32)))) alphax)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax)))) (.f32 u0 alphay))) (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax)))) alphay))
(fma.f32 -1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax))))) (.f32 alphay u0)) (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))))) alphay))
(fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) (.f32 alphay u0)) (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 2 (PI.f32)))) alphax))))) (.f32 (/.f32 (sqrt.f32 -1) alphay) (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) alphax))))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax)))) (.f32 u0 alphay))) (+.f32 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax)))) alphay) (.f32 -1/8 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax)))) (.f32 (pow.f32 u0 2) alphay)))))
(+.f32 (fma.f32 -1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax))))) (.f32 alphay u0)) (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax))))) alphay)) (/.f32 (.f32 -1/8 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax)))))) (.f32 alphay (.f32 u0 u0))))
(fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) (.f32 alphay u0)) (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 2 (PI.f32)))) alphax))))) (fma.f32 -1/8 (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 2 (PI.f32)))) alphax)))) alphay) (/.f32 (sqrt.f32 -1) (.f32 u0 u0))) (.f32 (/.f32 (sqrt.f32 -1) alphay) (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 2 (PI.f32)))) alphax)))))))
(+.f32 (.f32 -1/16 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax)))) (.f32 (pow.f32 u0 3) alphay))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax)))) (.f32 u0 alphay))) (+.f32 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax)))) alphay) (.f32 -1/8 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax)))) (.f32 (pow.f32 u0 2) alphay))))))
(fma.f32 -1/16 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 alphay (pow.f32 u0 3)) (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax)))))) (+.f32 (fma.f32 -1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax))))) (.f32 alphay u0)) (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax))))) alphay)) (/.f32 (.f32 -1/8 (.f32 (sqrt.f32 -1) (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax)))))) (.f32 alphay (.f32 u0 u0)))))
(fma.f32 -1/16 (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 2 (PI.f32)))) alphax)))) alphay) (/.f32 (sqrt.f32 -1) (pow.f32 u0 3))) (fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) (.f32 alphay u0)) (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 2 (PI.f32)))) alphax))))) (fma.f32 -1/8 (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 2 (PI.f32)))) alphax)))) alphay) (/.f32 (sqrt.f32 -1) (.f32 u0 u0))) (.f32 (/.f32 (sqrt.f32 -1) alphay) (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 2 (PI.f32)))) alphax))))))))
(.f32 (sqrt.f32 (/.f32 (-.f32 1 u0) u0)) (/.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) alphay))
(.f32 (sqrt.f32 (/.f32 (-.f32 1 u0) u0)) (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax)))) alphay))
(.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 2 (PI.f32)))) alphax)))) (/.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 u0))) alphay))
(.f32 (sqrt.f32 (/.f32 (-.f32 1 u0) u0)) (/.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) alphay))
(.f32 (sqrt.f32 (/.f32 (-.f32 1 u0) u0)) (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax)))) alphay))
(.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 2 (PI.f32)))) alphax)))) (/.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 u0))) alphay))
(.f32 (sqrt.f32 (/.f32 (-.f32 1 u0) u0)) (/.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) alphay))
(.f32 (sqrt.f32 (/.f32 (-.f32 1 u0) u0)) (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax)))) alphay))
(.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (.f32 2 (PI.f32)))) alphax)))) (/.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 u0))) alphay))
(.f32 (sqrt.f32 (/.f32 (-.f32 1 u0) u0)) (/.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 (PI.f32) u1))) alphay) alphax))) alphay))
(.f32 (sqrt.f32 (/.f32 (-.f32 1 u0) u0)) (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphax)))) alphay))
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(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(.f32 alphay (/.f32 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) alphax))
(.f32 (/.f32 1 (/.f32 alphax (pow.f32 (cbrt.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) alphay)) 2))) (cbrt.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) alphay)))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(.f32 alphay (/.f32 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) alphax))
(.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (neg.f32 alphax)) (neg.f32 alphay))
(.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (.f32 (neg.f32 alphay) (/.f32 1 (neg.f32 alphax))))
(.f32 (neg.f32 alphay) (/.f32 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) (neg.f32 alphax)))
(.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphax 1)) alphay)
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(.f32 alphay (/.f32 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) alphax))
(.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphax (sqrt.f32 alphay))) (sqrt.f32 alphay))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(.f32 alphay (/.f32 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) alphax))
(.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) (/.f32 alphax (pow.f32 (cbrt.f32 alphay) 2))) (cbrt.f32 alphay))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(.f32 alphay (/.f32 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) alphax))
(.f32 (/.f32 (sqrt.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))) (/.f32 alphax alphay)) (sqrt.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(.f32 alphay (/.f32 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) alphax))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))) 2) (/.f32 alphax alphay)) (cbrt.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(.f32 alphay (/.f32 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) alphax))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) alphay)) 2) alphax) (cbrt.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) alphay)))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(.f32 alphay (/.f32 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) alphax))
(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))) 1)
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(.f32 alphay (/.f32 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) alphax))
(pow.f32 (sqrt.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))) 2)
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(.f32 alphay (/.f32 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) alphax))
(pow.f32 (cbrt.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))) 3)
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(.f32 alphay (/.f32 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) alphax))
(pow.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))) 3) 1/3)
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(.f32 alphay (/.f32 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) alphax))
(pow.f32 (/.f32 alphax (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) alphay)) -1)
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(.f32 alphay (/.f32 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) alphax))
(neg.f32 (/.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) alphay) (neg.f32 alphax)))
(.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (.f32 (neg.f32 alphay) (/.f32 1 (neg.f32 alphax))))
(.f32 (neg.f32 alphay) (/.f32 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) (neg.f32 alphax)))
(sqrt.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))) 2))
(sqrt.f32 (pow.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax)) 2))
(fabs.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) alphax)))
(log.f32 (exp.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(.f32 alphay (/.f32 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) alphax))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(.f32 alphay (/.f32 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) alphax))
(cbrt.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))) 3))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(.f32 alphay (/.f32 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) alphax))
(cbrt.f32 (/.f32 (pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))) alphay) 3) (pow.f32 alphax 3)))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(.f32 alphay (/.f32 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) alphax))
(expm1.f32 (log1p.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(.f32 alphay (/.f32 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) alphax))
(exp.f32 (log.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(.f32 alphay (/.f32 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) alphax))
(exp.f32 (.f32 (log.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1))))) 1))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(.f32 alphay (/.f32 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) alphax))
(log1p.f32 (expm1.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))))
(.f32 alphay (/.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(.f32 alphay (/.f32 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) alphax))

localize130.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f32 2 (/.f32 alphax (.f32 u1 (.f32 (PI.f32) alphay))))
✓	0.3b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (/.f32 2 (/.f32 alphax (.f32 u1 (*.f32 (PI.f32) alphay)))))) alphay) 2) (-.f32 1 u0))))))
✓	0.3b	(*.f32 (PI.f32) alphay)
✓	0.5b	(pow.f32 (/.f32 (sin.f32 (atan.f32 (/.f32 2 (/.f32 alphax (.f32 u1 (.f32 (PI.f32) alphay)))))) alphay) 2)

Compiler

Compiled 200 to 97 computations (51.5% saved)

series134.0ms (0.5%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
54.0ms	alphax	@	-inf	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (/.f32 2 (/.f32 alphax (.f32 u1 (*.f32 (PI.f32) alphay)))))) alphay) 2) (-.f32 1 u0))))))
34.0ms	alphax	@	0	(pow.f32 (/.f32 (sin.f32 (atan.f32 (/.f32 2 (/.f32 alphax (.f32 u1 (.f32 (PI.f32) alphay)))))) alphay) 2)
4.0ms	u0	@	inf	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (/.f32 2 (/.f32 alphax (.f32 u1 (*.f32 (PI.f32) alphay)))))) alphay) 2) (-.f32 1 u0))))))
4.0ms	alphay	@	inf	(/.f32 2 (/.f32 alphax (.f32 u1 (.f32 (PI.f32) alphay))))
4.0ms	u0	@	-inf	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (/.f32 2 (/.f32 alphax (.f32 u1 (*.f32 (PI.f32) alphay)))))) alphay) 2) (-.f32 1 u0))))))

rewrite112.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	164
1	546	160
2	7558	160

Stop Event

1×	node limit

Counts

4 → 107

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) (.f32 (/.f32 1 alphay) (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay)) (.f32 (sqrt.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay)) (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay)) 2) (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay)) 2) (.f32 (cbrt.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay)) (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) 4)) (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) 2) (.f32 (/.f32 1 alphay) (/.f32 1 alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) 2) (pow.f32 (/.f32 1 alphay) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) (sqrt.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay))) (sqrt.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay))))))) (/.f32 1 alphay))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay)) 2)) (cbrt.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) (.f32 alphay (/.f32 alphay (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay))))))) alphay))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) (/.f32 alphay (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay))))))) (/.f32 alphay (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) 2) (.f32 alphay alphay))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay))))))) (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay))))))) (neg.f32 alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (neg.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay))))))) (neg.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))))) (.f32 (neg.f32 alphay) (neg.f32 alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay))))))) alphay)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) (neg.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))))) (neg.f32 alphay))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay)) 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simplify324.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

988×	`associate-r`
854×	`associate-+r+`
788×	`associate-l`
698×	`+-commutative`
656×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	513	23485
1	1552	20931
2	7072	20931

Stop Event

1×	node limit

Counts

239 → 217

Calls

Call 1

Inputs
(/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 (.f32 alphay (*.f32 (PI.f32) u1)) alphax)))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 (.f32 alphay (*.f32 (PI.f32) u1)) alphax)))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 (.f32 alphay (*.f32 (PI.f32) u1)) alphax)))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 (.f32 alphay (*.f32 (PI.f32) u1)) alphax)))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax)))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax)))) 2) (pow.f32 alphay 2))
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(.f32 (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay))))))) (/.f32 1 alphay))
(.f32 (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay)) 2)) (cbrt.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay)))
(/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) (.f32 alphay (/.f32 alphay (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (*.f32 (PI.f32) alphay)))))))))
(/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (*.f32 (PI.f32) alphay))))))) alphay))
(/.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) (/.f32 alphay (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay))))))))
(/.f32 1 (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay))))))) (/.f32 alphay (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (*.f32 (PI.f32) alphay)))))))))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) 2) (*.f32 alphay alphay))
(/.f32 (neg.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay))))))) (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (*.f32 (PI.f32) alphay))))))) (neg.f32 alphay)))
(/.f32 (.f32 (neg.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay))))))) (neg.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))))) (.f32 (neg.f32 alphay) (neg.f32 alphay)))
(/.f32 (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (*.f32 (PI.f32) alphay))))))) alphay)
(/.f32 (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) (neg.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (*.f32 (PI.f32) alphay)))))))) (neg.f32 alphay))
(/.f32 (.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (*.f32 (PI.f32) alphay)))))) alphay)) alphay)
(/.f32 (.f32 (neg.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay))))))) (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (*.f32 (PI.f32) alphay)))))) alphay)) (neg.f32 alphay))
(/.f32 (.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) (neg.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))))) (.f32 alphay (neg.f32 alphay)))
(/.f32 (.f32 (neg.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay))))))) (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay))))))) (.f32 (neg.f32 alphay) alphay))
(/.f32 (.f32 (neg.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay))))))) 1) (.f32 (neg.f32 alphay) (/.f32 alphay (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))))))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) 4))
(log.f32 (exp.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) 2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) 2))))
(cbrt.f32 (pow.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) 2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) 2)))
(exp.f32 (.f32 2 (log.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (*.f32 (PI.f32) alphay)))))) alphay))))
(exp.f32 (.f32 (.f32 2 (log.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay))) 1))
(log1p.f32 (expm1.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) 2)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) alphay))) 1)
(pow.f32 (*.f32 (PI.f32) alphay) 1)
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) alphay)) 2)
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) alphay)) 3)
(pow.f32 (pow.f32 (*.f32 (PI.f32) alphay) 3) 1/3)
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) alphay) 2))
(log.f32 (pow.f32 (exp.f32 alphay) (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) alphay))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) alphay) 3))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 alphay 3)))
(cbrt.f32 (*.f32 (pow.f32 alphay 3) (pow.f32 (PI.f32) 3)))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) alphay)))
(exp.f32 (log.f32 (*.f32 (PI.f32) alphay)))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) alphay)) 1))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) alphay)))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) 2)) (-.f32 1 u0))) -1/2))) 1)
(.f32 1 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (*.f32 (PI.f32) alphay)))))) alphay) 2)) (-.f32 1 u0))) -1/2))
(.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (*.f32 (PI.f32) alphay)))))) alphay) 2)) (-.f32 1 u0))) -1/2) 1)
(.f32 (pow.f32 (hypot.f32 1 (/.f32 (sqrt.f32 u0) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) (sqrt.f32 (-.f32 1 u0))))) -1/2) (pow.f32 (hypot.f32 1 (/.f32 (sqrt.f32 u0) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (*.f32 (PI.f32) alphay)))))) alphay) (sqrt.f32 (-.f32 1 u0))))) -1/2))
(.f32 (cbrt.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) 2)) (-.f32 1 u0))) -1/2)) (cbrt.f32 (/.f32 1 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (*.f32 (PI.f32) alphay)))))) alphay) 2)) (-.f32 1 u0))))))
(.f32 (cbrt.f32 (/.f32 1 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) 2)) (-.f32 1 u0))))) (cbrt.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (*.f32 (PI.f32) alphay)))))) alphay) 2)) (-.f32 1 u0))) -1/2)))
(.f32 -1 (/.f32 1 (neg.f32 (hypot.f32 1 (/.f32 (sqrt.f32 u0) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) (sqrt.f32 (-.f32 1 u0))))))))
(.f32 (pow.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) 2)) (-.f32 1 u0))) 1/4) -1) (pow.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (*.f32 (PI.f32) alphay)))))) alphay) 2)) (-.f32 1 u0))) 1/4) -1))
(.f32 (pow.f32 (cbrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) 2)) (-.f32 1 u0)))) -1) (pow.f32 (cbrt.f32 (hypot.f32 1 (/.f32 (sqrt.f32 u0) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) (sqrt.f32 (-.f32 1 u0)))))) -1))
(pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) 2)) (-.f32 1 u0))) -1/2)
(pow.f32 (hypot.f32 1 (/.f32 (sqrt.f32 u0) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (*.f32 (PI.f32) alphay)))))) alphay) (sqrt.f32 (-.f32 1 u0))))) -1)
(pow.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) 2)) (-.f32 1 u0))) -1/2) 1)
(pow.f32 (pow.f32 (hypot.f32 1 (/.f32 (sqrt.f32 u0) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (*.f32 (PI.f32) alphay)))))) alphay) (sqrt.f32 (-.f32 1 u0))))) -1/2) 2)
(pow.f32 (cbrt.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) 2)) (-.f32 1 u0))) -1/2)) 3)
(pow.f32 (pow.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) 2)) (-.f32 1 u0))) -1/2) 3) 1/3)
(sqrt.f32 (/.f32 1 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) 2)) (-.f32 1 u0)))))
(log.f32 (exp.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) 2)) (-.f32 1 u0))) -1/2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) 2)) (-.f32 1 u0))) -1/2))))
(cbrt.f32 (pow.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) 2)) (-.f32 1 u0))) -1/2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) 2)) (-.f32 1 u0))) -1/2)))
(exp.f32 (neg.f32 (.f32 1/2 (log1p.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (*.f32 (PI.f32) alphay)))))) alphay) 2)) (-.f32 1 u0))))))
(exp.f32 (.f32 (.f32 1/2 (log1p.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) 2)) (-.f32 1 u0)))) -1))
(exp.f32 (.f32 (neg.f32 (.f32 1/2 (log1p.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) 2)) (-.f32 1 u0))))) 1))
(log1p.f32 (expm1.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) 2)) (-.f32 1 u0))) -1/2)))
(-.f32 (exp.f32 (log1p.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) 1)
(.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay))))
(.f32 (.f32 u1 (*.f32 (PI.f32) alphay)) (/.f32 2 alphax))
(.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (*.f32 (PI.f32) alphay)))) 1)
(.f32 1 (.f32 2 (/.f32 u1 (/.f32 alphax (*.f32 (PI.f32) alphay)))))
(.f32 (sqrt.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay))))) (sqrt.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (*.f32 (PI.f32) alphay))))))
(.f32 (cbrt.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay))))) (pow.f32 (cbrt.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (*.f32 (PI.f32) alphay))))) 2))
(.f32 (pow.f32 (cbrt.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay))))) 2) (cbrt.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (*.f32 (PI.f32) alphay))))))
(.f32 (/.f32 2 alphax) (.f32 u1 (*.f32 (PI.f32) alphay)))
(.f32 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay))) 2)
(.f32 -2 (/.f32 1 (/.f32 (neg.f32 (/.f32 alphax u1)) (.f32 (PI.f32) alphay))))
(.f32 (.f32 (/.f32 2 alphax) u1) (*.f32 (PI.f32) alphay))
(.f32 (.f32 (/.f32 2 alphax) (*.f32 (PI.f32) alphay)) u1)
(.f32 (.f32 (/.f32 2 alphax) 1) (.f32 u1 (.f32 (PI.f32) alphay)))
(.f32 (.f32 (/.f32 2 alphax) (sqrt.f32 (.f32 u1 (.f32 (PI.f32) alphay)))) (sqrt.f32 (.f32 u1 (.f32 (PI.f32) alphay))))
(.f32 (.f32 (/.f32 2 alphax) (pow.f32 (cbrt.f32 (.f32 u1 (.f32 (PI.f32) alphay))) 2)) (cbrt.f32 (.f32 u1 (.f32 (PI.f32) alphay))))
(.f32 (.f32 (/.f32 2 alphax) (*.f32 u1 (PI.f32))) alphay)
(.f32 (/.f32 2 (/.f32 alphax u1)) (.f32 (PI.f32) alphay))
(.f32 (/.f32 2 (neg.f32 alphax)) (.f32 (*.f32 (PI.f32) alphay) (neg.f32 u1)))
(pow.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))) 1)
(pow.f32 (sqrt.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay))))) 2)
(pow.f32 (cbrt.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay))))) 3)
(pow.f32 (pow.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))) 3) 1/3)
(pow.f32 (.f32 (/.f32 (/.f32 alphax u1) (.f32 (PI.f32) alphay)) 1/2) -1)
(sqrt.f32 (/.f32 4 (pow.f32 (/.f32 (/.f32 alphax u1) (*.f32 (PI.f32) alphay)) 2)))
(log.f32 (pow.f32 (exp.f32 2) (/.f32 u1 (/.f32 alphax (*.f32 (PI.f32) alphay)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))))
(cbrt.f32 (pow.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))) 3))
(expm1.f32 (log1p.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay))))))
(exp.f32 (log.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay))))))
(exp.f32 (.f32 (log.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (*.f32 (PI.f32) alphay))))) 1))
(log1p.f32 (expm1.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay))))))

Outputs
(/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 (.f32 alphay (*.f32 (PI.f32) u1)) alphax)))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 (.f32 u1 (.f32 alphay (PI.f32))) alphax)))) 2) (.f32 alphay alphay))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax))))) alphay) 2)
(/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 (.f32 alphay (*.f32 (PI.f32) u1)) alphax)))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 (.f32 u1 (.f32 alphay (PI.f32))) alphax)))) 2) (.f32 alphay alphay))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax))))) alphay) 2)
(/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 (.f32 alphay (*.f32 (PI.f32) u1)) alphax)))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 (.f32 u1 (.f32 alphay (PI.f32))) alphax)))) 2) (.f32 alphay alphay))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax))))) alphay) 2)
(/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 (.f32 alphay (*.f32 (PI.f32) u1)) alphax)))) 2) (pow.f32 alphay 2))
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(expm1.f32 (log1p.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) 2)) (-.f32 1 u0))) -1/2)))
(pow.f32 (+.f32 1 (/.f32 u0 (.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (.f32 (/.f32 u1 alphax) (.f32 alphay (PI.f32)))))) alphay) 2)))) -1/2)
(pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax))))) alphay) 2))) -1/2)
(exp.f32 (neg.f32 (.f32 1/2 (log1p.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (*.f32 (PI.f32) alphay)))))) alphay) 2)) (-.f32 1 u0))))))
(exp.f32 (.f32 -1/2 (log1p.f32 (/.f32 u0 (.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (.f32 (/.f32 u1 alphax) (*.f32 alphay (PI.f32)))))) alphay) 2))))))
(pow.f32 (exp.f32 -1/2) (log1p.f32 (/.f32 (/.f32 u0 (-.f32 1 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax))))) alphay) 2))))
(exp.f32 (.f32 (.f32 1/2 (log1p.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) 2)) (-.f32 1 u0)))) -1))
(exp.f32 (.f32 -1/2 (log1p.f32 (/.f32 u0 (.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (.f32 (/.f32 u1 alphax) (*.f32 alphay (PI.f32)))))) alphay) 2))))))
(pow.f32 (exp.f32 -1/2) (log1p.f32 (/.f32 (/.f32 u0 (-.f32 1 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax))))) alphay) 2))))
(exp.f32 (.f32 (neg.f32 (.f32 1/2 (log1p.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) 2)) (-.f32 1 u0))))) 1))
(exp.f32 (.f32 -1/2 (log1p.f32 (/.f32 u0 (.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (.f32 (/.f32 u1 alphax) (*.f32 alphay (PI.f32)))))) alphay) 2))))))
(pow.f32 (exp.f32 -1/2) (log1p.f32 (/.f32 (/.f32 u0 (-.f32 1 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax))))) alphay) 2))))
(log1p.f32 (expm1.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) 2)) (-.f32 1 u0))) -1/2)))
(pow.f32 (+.f32 1 (/.f32 u0 (.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (.f32 (/.f32 u1 alphax) (.f32 alphay (PI.f32)))))) alphay) 2)))) -1/2)
(pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax))))) alphay) 2))) -1/2)
(-.f32 (exp.f32 (log1p.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) 1)
(.f32 2 (/.f32 (.f32 u1 (*.f32 alphay (PI.f32))) alphax))
(.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax)))
(.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay))))
(.f32 2 (/.f32 (.f32 u1 (*.f32 alphay (PI.f32))) alphax))
(.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax)))
(.f32 (.f32 u1 (*.f32 (PI.f32) alphay)) (/.f32 2 alphax))
(.f32 2 (/.f32 (.f32 u1 (*.f32 alphay (PI.f32))) alphax))
(.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax)))
(.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (*.f32 (PI.f32) alphay)))) 1)
(.f32 2 (/.f32 (.f32 u1 (*.f32 alphay (PI.f32))) alphax))
(.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax)))
(.f32 1 (.f32 2 (/.f32 u1 (/.f32 alphax (*.f32 (PI.f32) alphay)))))
(.f32 2 (/.f32 (.f32 u1 (*.f32 alphay (PI.f32))) alphax))
(.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax)))
(.f32 (sqrt.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay))))) (sqrt.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (*.f32 (PI.f32) alphay))))))
(.f32 2 (/.f32 (.f32 u1 (*.f32 alphay (PI.f32))) alphax))
(.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax)))
(.f32 (cbrt.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay))))) (pow.f32 (cbrt.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (*.f32 (PI.f32) alphay))))) 2))
(.f32 2 (/.f32 (.f32 u1 (*.f32 alphay (PI.f32))) alphax))
(.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax)))
(.f32 (pow.f32 (cbrt.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay))))) 2) (cbrt.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (*.f32 (PI.f32) alphay))))))
(.f32 2 (/.f32 (.f32 u1 (*.f32 alphay (PI.f32))) alphax))
(.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax)))
(.f32 (/.f32 2 alphax) (.f32 u1 (*.f32 (PI.f32) alphay)))
(.f32 2 (/.f32 (.f32 u1 (*.f32 alphay (PI.f32))) alphax))
(.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax)))
(.f32 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay))) 2)
(.f32 2 (/.f32 (.f32 u1 (*.f32 alphay (PI.f32))) alphax))
(.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax)))
(.f32 -2 (/.f32 1 (/.f32 (neg.f32 (/.f32 alphax u1)) (.f32 (PI.f32) alphay))))
(/.f32 -2 (/.f32 (/.f32 (neg.f32 alphax) u1) (*.f32 alphay (PI.f32))))
(.f32 (/.f32 -2 (/.f32 (neg.f32 alphax) u1)) (.f32 alphay (PI.f32)))
(.f32 (.f32 (/.f32 2 alphax) u1) (*.f32 (PI.f32) alphay))
(.f32 2 (/.f32 (.f32 u1 (*.f32 alphay (PI.f32))) alphax))
(.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax)))
(.f32 (.f32 (/.f32 2 alphax) (*.f32 (PI.f32) alphay)) u1)
(.f32 2 (/.f32 (.f32 u1 (*.f32 alphay (PI.f32))) alphax))
(.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax)))
(.f32 (.f32 (/.f32 2 alphax) 1) (.f32 u1 (.f32 (PI.f32) alphay)))
(.f32 2 (/.f32 (.f32 u1 (*.f32 alphay (PI.f32))) alphax))
(.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax)))
(.f32 (.f32 (/.f32 2 alphax) (sqrt.f32 (.f32 u1 (.f32 (PI.f32) alphay)))) (sqrt.f32 (.f32 u1 (.f32 (PI.f32) alphay))))
(.f32 2 (/.f32 (.f32 u1 (*.f32 alphay (PI.f32))) alphax))
(.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax)))
(.f32 (.f32 (/.f32 2 alphax) (pow.f32 (cbrt.f32 (.f32 u1 (.f32 (PI.f32) alphay))) 2)) (cbrt.f32 (.f32 u1 (.f32 (PI.f32) alphay))))
(.f32 2 (/.f32 (.f32 u1 (*.f32 alphay (PI.f32))) alphax))
(.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax)))
(.f32 (.f32 (/.f32 2 alphax) (*.f32 u1 (PI.f32))) alphay)
(.f32 2 (/.f32 (.f32 u1 (*.f32 alphay (PI.f32))) alphax))
(.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax)))
(.f32 (/.f32 2 (/.f32 alphax u1)) (.f32 (PI.f32) alphay))
(.f32 2 (/.f32 (.f32 u1 (*.f32 alphay (PI.f32))) alphax))
(.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax)))
(.f32 (/.f32 2 (neg.f32 alphax)) (.f32 (*.f32 (PI.f32) alphay) (neg.f32 u1)))
(/.f32 (.f32 2 (.f32 (PI.f32) (*.f32 alphay (neg.f32 u1)))) (neg.f32 alphax))
(.f32 (PI.f32) (.f32 (*.f32 alphay (neg.f32 u1)) (/.f32 -2 alphax)))
(pow.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))) 1)
(.f32 2 (/.f32 (.f32 u1 (*.f32 alphay (PI.f32))) alphax))
(.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax)))
(pow.f32 (sqrt.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay))))) 2)
(.f32 2 (/.f32 (.f32 u1 (*.f32 alphay (PI.f32))) alphax))
(.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax)))
(pow.f32 (cbrt.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay))))) 3)
(.f32 2 (/.f32 (.f32 u1 (*.f32 alphay (PI.f32))) alphax))
(.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax)))
(pow.f32 (pow.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))) 3) 1/3)
(.f32 2 (/.f32 (.f32 u1 (*.f32 alphay (PI.f32))) alphax))
(.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax)))
(pow.f32 (.f32 (/.f32 (/.f32 alphax u1) (.f32 (PI.f32) alphay)) 1/2) -1)
(.f32 2 (/.f32 (.f32 u1 (*.f32 alphay (PI.f32))) alphax))
(.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax)))
(sqrt.f32 (/.f32 4 (pow.f32 (/.f32 (/.f32 alphax u1) (*.f32 (PI.f32) alphay)) 2)))
(sqrt.f32 (/.f32 4 (pow.f32 (/.f32 alphax (.f32 u1 (.f32 alphay (PI.f32)))) 2)))
(sqrt.f32 (/.f32 4 (pow.f32 (/.f32 alphax (.f32 (PI.f32) (.f32 alphay u1))) 2)))
(log.f32 (pow.f32 (exp.f32 2) (/.f32 u1 (/.f32 alphax (*.f32 (PI.f32) alphay)))))
(.f32 2 (/.f32 (.f32 u1 (*.f32 alphay (PI.f32))) alphax))
(.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))))
(.f32 2 (/.f32 (.f32 u1 (*.f32 alphay (PI.f32))) alphax))
(.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax)))
(cbrt.f32 (pow.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))) 3))
(.f32 2 (/.f32 (.f32 u1 (*.f32 alphay (PI.f32))) alphax))
(.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax)))
(expm1.f32 (log1p.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay))))))
(.f32 2 (/.f32 (.f32 u1 (*.f32 alphay (PI.f32))) alphax))
(.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax)))
(exp.f32 (log.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay))))))
(.f32 2 (/.f32 (.f32 u1 (*.f32 alphay (PI.f32))) alphax))
(.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax)))
(exp.f32 (.f32 (log.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (*.f32 (PI.f32) alphay))))) 1))
(.f32 2 (/.f32 (.f32 u1 (*.f32 alphay (PI.f32))) alphax))
(.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax)))
(log1p.f32 (expm1.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay))))))
(.f32 2 (/.f32 (.f32 u1 (*.f32 alphay (PI.f32))) alphax))
(.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax)))

localize253.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))
✓	0.4b	(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)
✓	0.4b	(*.f32 (fma.f32 2 u1 1/2) (PI.f32))
	11.1b	(tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))

Compiler

Compiled 243 to 165 computations (32.1% saved)

series61.0ms (0.2%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
48.0ms	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	@	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)
2.0ms	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)
1.0ms	alphax	@	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)
1.0ms	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)

rewrite179.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1844×	`associate-/r*`
1338×	`associate-/l*`
434×	`add-sqr-sqrt`
422×	`*-un-lft-identity`
418×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	107
1	434	107
2	5277	107

Stop Event

1×	node limit

Counts

3 → 281

Calls

Call 1

Inputs

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

Outputs

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((x /.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) (cos.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))) alphax)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (neg.f32 alphay)) (cos.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))) (neg.f32 alphax))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (neg.f32 (*.f32 alphay (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))) 1) (neg.f32 alphax))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (neg.f32 (*.f32 alphay (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (sqrt.f32 alphax)) (neg.f32 (sqrt.f32 alphax)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (neg.f32 (*.f32 alphay (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (pow.f32 (cbrt.f32 alphax) 2)) (neg.f32 (cbrt.f32 alphax)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (neg.f32 (*.f32 alphay (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))) -1) alphax)))) (#(struct:change #<rule 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simplify402.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1464×	`associate-r`
1230×	`associate-/r/`
1146×	`associate-l`
994×	`associate-*l/`
898×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1084	45237
1	3240	44557

Stop Event

1×	node limit

Counts

365 → 519

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

localize433.0ms (1.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
✓	0.5b	(pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))) alphax)) 2)
	8.4b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))
	31.7b	(tan.f32 (*.f32 1/2 (PI.f32)))

Compiler

Compiled 364 to 226 computations (37.9% saved)

series14.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite95.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

584×	`associate-/r/`
558×	`add-sqr-sqrt`
550×	`*-un-lft-identity`
546×	`pow1`
510×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	95
1	546	95
2	6945	95

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

simplify95.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1614×	`associate-r`
1328×	`associate-/l*`
1316×	`associate-l`
1298×	`associate-/r*`
938×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	9755
1	505	7633
2	2142	6331

Stop Event

1×	node limit

Counts

59 → 57

Calls

Call 1

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

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

eval2.7s (9.3%)

Compiler: Compiled 125740 to 88837 computations (29.3% saved)

prune835.0ms (2.9%)

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	1472	10	1482
Fresh	1	7	8
Picked	0	1	1
Done	4	3	7
Total	1477	21	1498

Error

0.2b

Counts

1498 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	17.3b	(fma.f32 -1/2 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax))))) alphay) 2)) 1)
	15.1b	(pow.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (.f32 (*.f32 alphay (PI.f32)) (/.f32 u1 alphax))))) alphay) 2))) 1/4) -2)
	15.1b	(pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 u1 (/.f32 alphax (.f32 (PI.f32) alphay)))))) alphay) 2)) (-.f32 1 u0))) -1/2)
	0.8b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (/.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2) (/.f32 1 (-.f32 1 u0)))))))
	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 (/.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))))))
	13.5b	(/.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) (.f32 2 u1)))))) 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))))))
	3.5b	(/.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) (.f32 2 u1)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))) alphax)) 2) (-.f32 1 u0))))))
	0.6b	(/.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 1/2 (PI.f32)))))) alphay) (/.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))))))
	2.3b	(/.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 1/2 (PI.f32)))))) alphay) (/.f32 (cos.f32 (atan.f32 (/.f32 2 (/.f32 alphax (.f32 u1 (*.f32 (PI.f32) alphay)))))) alphax)) 2) (-.f32 1 u0))))))
✓	2.4b	(/.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 1/2 (PI.f32)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphax)) 2) (-.f32 1 u0))))))
	3.6b	(/.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))))))
✓	15.1b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (/.f32 2 (/.f32 alphax (.f32 u1 (*.f32 (PI.f32) alphay)))))) alphay) 2) (-.f32 1 u0))))))
✓	0.8b	(/.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))))))
✓	0.8b	(/.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))))))
	3.5b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (/.f32 1 (.f32 alphax alphax)) (-.f32 1 u0))))))
	2.1b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))) 2) (.f32 alphay alphay)) (/.f32 1 (*.f32 alphax alphax))) (-.f32 1 u0))))))
	0.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (exp.f32 (.f32 2 (log.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 (/.f32 1 alphax) (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))))) (-.f32 1 u0))))))
	17.4b	(+.f32 1 (/.f32 (.f32 -1/2 (.f32 (.f32 alphay alphay) u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 (.f32 u1 (*.f32 alphay (PI.f32))) alphax)))) 2) (-.f32 1 u0))))
	17.4b	(+.f32 1 (.f32 -1/2 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (.f32 (PI.f32) 2) u1))))) alphay) 2))))
	25.6b	(.f32 (sqrt.f32 (/.f32 (-.f32 1 u0) u0)) (/.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (PI.f32) (*.f32 u1 alphay)) (/.f32 alphax 2)))) alphay))
	2.6b	1

Compiler

Compiled 714 to 558 computations (21.8% saved)

regimes293.0ms (1%)

Counts

35 → 1

Calls

Call 1

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

Calls

13 calls:

65.0ms	(.f32 (.f32 2 (PI.f32)) u1)
32.0ms	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 (/.f32 1 (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0)))))
27.0ms	(+.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)))
19.0ms	(/.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))))
16.0ms	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 1834 to 1264 computations (31.1% saved)

regimes81.0ms (0.3%)

Counts

29 → 1

Calls

Call 1

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

Outputs

(/.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 (/.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))))))

Calls

4 calls:

15.0ms	u1
14.0ms	alphax
14.0ms	alphay
12.0ms	u0

Results

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

Compiler

Compiled 895 to 620 computations (30.7% saved)

regimes81.0ms (0.3%)

Counts

27 → 1

Calls

Call 1

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

Outputs

(/.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 1/2 (PI.f32)))))) alphay) (/.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))))))

Calls

4 calls:

19.0ms	u1
14.0ms	u0
14.0ms	alphax
12.0ms	alphay

Results

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

Compiler

Compiled 805 to 558 computations (30.7% saved)

regimes69.0ms (0.2%)

Counts

23 → 1

Calls

Call 1

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

Calls

4 calls:

15.0ms	u1
12.0ms	alphax
12.0ms	u0
10.0ms	alphay

Results

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

Compiler

Compiled 635 to 442 computations (30.4% saved)

regimes51.0ms (0.2%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

4 calls:

12.0ms	u1
10.0ms	alphax
10.0ms	alphay
8.0ms	u0

Results

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

Compiler

Compiled 422 to 301 computations (28.7% saved)

regimes38.0ms (0.1%)

Counts

13 → 1

Calls

Call 1

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

Outputs
(/.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))))))

Calls

4 calls:

8.0ms	alphax
7.0ms	u0
7.0ms	u1
7.0ms	alphay

Results

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

Compiler

Compiled 310 to 222 computations (28.4% saved)

regimes30.0ms (0.1%)

Accuracy

Total -25.5b remaining (-966.4%)

Threshold costs -25.5b (-966.4%)

Counts

10 → 1

Calls

Call 1

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

Outputs
1

Calls

4 calls:

7.0ms	alphay
7.0ms	u1
6.0ms	alphax
6.0ms	u0

Results

Error	Segments	Branch
2.6b	1	`u0`
2.6b	1	`u1`
2.6b	1	`alphax`
2.6b	1	`alphay`

Compiler

Compiled 231 to 166 computations (28.1% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative`
16×	`+-commutative`
4×	`sub-neg`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	681
1	106	681
2	110	681
3	112	681
4	113	681

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 246 to 195 computations (20.7% saved)

soundness331.0ms (1.1%)

Algorithm

3×	egg-herbie

Rules

1300×	`associate-/l*`
1252×	`distribute-lft-in`
1248×	`fma-def`
1240×	`times-frac`
1232×	`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
0	323	13236
1	761	12642
2	3270	12642
0	572	19665
1	1403	18863
2	7817	18863

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 334 to 240 computations (28.1% saved)

end169.0ms (0.6%)

Compiler: Compiled 222 to 161 computations (27.5% saved)