Details

analyze1.1s (4.1%)

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)

sample8.1s (30.8%)

Results

8.1s

8256×

body

256

valid

Bogosity

preprocess74.0ms (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)

simplify60.0ms (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))))))

eval8.0ms (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)

localize371.0ms (1.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(fma.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphay) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphay) (.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2)))))) alphax)))
✓	0.5b	(.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2)))))) alphax))
✓	12.5b	(tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))
✓	13.6b	(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)

series32.0ms (0.1%)

Counts

4 → 120

Calls

30 calls:

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

rewrite123.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 107

Calls

Call 1

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

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

simplify151.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

227 → 148

Calls

Call 1

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

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

eval460.0ms (1.7%)

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

prune107.0ms (0.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.2b

Counts

304 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2) (-.f32 1 u0))))))
▶	0.8b	(/.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))))))
▶	0.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (+.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 alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 2) (*.f32 alphay alphay))) (-.f32 1 u0))))))

Status

Error

Program

▶

0.2b

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

▶

0.8b

(/.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))))))

▶

0.2b

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

Compiler

Compiled 134 to 102 computations (23.9% saved)

localize397.0ms (1.5%)

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 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 2)
✓	12.5b	(tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))
✓	13.6b	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))

Compiler

Compiled 430 to 263 computations (38.8% saved)

series13.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite101.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1552×	`associate-*r/`
1224×	`associate-*l/`
900×	`associate-/r*`
396×	`add-sqr-sqrt`
388×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	126
1	389	126
2	4681	126

Stop Event

1×	node limit

Counts

4 → 120

Calls

Call 1

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

simplify116.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1166×	`associate-/r*`
1108×	`distribute-lft-in`
1100×	`distribute-rgt-in`
764×	`associate-*r/`
628×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	324	10584
1	701	10404
2	3019	10404

Stop Event

1×	node limit

Counts

216 → 172

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

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

localize177.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))
	0.4b	(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
✓	0.5b	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2)
	12.5b	(tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))

Compiler

Compiled 226 to 148 computations (34.5% saved)

series27.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

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

simplify159.0ms (0.6%)

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

localize271.0ms (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)
	12.5b	(tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))
	13.6b	(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)

series19.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

simplify100.0ms (0.4%)

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))

eval1.2s (4.6%)

Compiler: Compiled 54268 to 37820 computations (30.3% saved)

prune403.0ms (1.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	949	5	954
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	952	5	957

Error

0.2b

Counts

957 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	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 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (*.f32 2 u1) 1/2)))))) alphay) 2) (-.f32 1 u0))))))
▶	17.0b	(/.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))))))
▶	17.3b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2) (-.f32 1 u0))))))
▶	0.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2))) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 2) (*.f32 alphay alphay))) (-.f32 1 u0))))))

Compiler

Compiled 382 to 304 computations (20.4% saved)

localize335.0ms (1.3%)

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 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2)
✓	12.5b	(tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))
	12.5b	(tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))

Compiler

Compiled 485 to 304 computations (37.3% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	0	(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2)
1.0ms	u1	@	inf	(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2)
1.0ms	u1	@	-inf	(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2)
0.0ms	alphax	@	-inf	(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2)
0.0ms	alphay	@	-inf	(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2)

rewrite93.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 160

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (*.f32 (/.f32 alphay alphax) (*.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 alphay alphax) (/.f32 (pow.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) 2) (/.f32 alphax alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) (*.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) (/.f32 alphay alphax)) 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simplify111.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	499	14104
1	1399	13556

Stop Event

1×	node limit

Counts

208 → 208

Calls

Call 1

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

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

localize190.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))) alphay) 2) (-.f32 1 u0)))
✓	0.5b	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))) alphay) 2)
✓	8.7b	(.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)

series36.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

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

rewrite121.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 187

Calls

Call 1

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

Outputs
((#(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)))) (cbrt.f32 (pow.f32 (tan.f32 (.f32 1/2 (PI.f32))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.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 (cos.f32 (.f32 1/2 (PI.f32))) (sin.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 (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)))))))))
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egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) (-.f32 1 u0))))))))

simplify160.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

271 → 260

Calls

Call 1

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

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

localize156.0ms (0.6%)

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))))
✓	0.6b	(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)

series48.0ms (0.2%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
6.0ms	u1	@	0	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
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	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))))))

rewrite134.0ms (0.5%)

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 (PI.f32) (.f32 2 u1)))))) alphay) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay)) (.f32 (sqrt.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 (cbrt.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay)) 2) (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay)) 2) (.f32 (cbrt.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 (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) 4)) (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) 2) (.f32 (/.f32 1 alphay) (/.f32 1 alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) 2) (pow.f32 (/.f32 1 alphay) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) (sqrt.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay))) (sqrt.f32 (/.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 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1))))))) (/.f32 1 alphay))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay)) 2)) (cbrt.f32 (/.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 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) (.f32 alphay (/.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 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) (.f32 (/.f32 alphay (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 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 1 (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1))))))) (/.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 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) 2) (.f32 alphay alphay))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1))))))) (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1))))))) (neg.f32 alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (neg.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1))))))) (neg.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))))) (.f32 (neg.f32 alphay) (neg.f32 alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) (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 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 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simplify226.0ms (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))
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1
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(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)
(/.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 (PI.f32) u1))) 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 (PI.f32) u1))) 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 (PI.f32) u1))) 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 (PI.f32) u1))) 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 (PI.f32) u1))) 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 (PI.f32) u1))) 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 (PI.f32) u1))) 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 (PI.f32) u1))) 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 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (sin.f32 (.f32 (.f32 (PI.f32) 2) u1)) (.f32 (/.f32 alphax alphay) (cos.f32 (.f32 (*.f32 (PI.f32) 2) u1))))
(.f32 (/.f32 alphay (cos.f32 (.f32 2 (.f32 u1 (PI.f32))))) (/.f32 (sin.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (sin.f32 (.f32 (.f32 (PI.f32) 2) u1)) (.f32 (/.f32 alphax alphay) (cos.f32 (.f32 (*.f32 (PI.f32) 2) u1))))
(.f32 (/.f32 alphay (cos.f32 (.f32 2 (.f32 u1 (PI.f32))))) (/.f32 (sin.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (sin.f32 (.f32 (.f32 (PI.f32) 2) u1)) (.f32 (/.f32 alphax alphay) (cos.f32 (.f32 (*.f32 (PI.f32) 2) u1))))
(.f32 (/.f32 alphay (cos.f32 (.f32 2 (.f32 u1 (PI.f32))))) (/.f32 (sin.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphax))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(/.f32 (sin.f32 (.f32 (.f32 (PI.f32) 2) u1)) (.f32 (/.f32 alphax alphay) (cos.f32 (.f32 (*.f32 (PI.f32) 2) u1))))
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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)

localize261.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 (/.f32 alphay alphax) (tan.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (.f32 2 u1) 1/2))))
✓	0.3b	(/.f32 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (*.f32 2 u1) 1/2))
✓	0.5b	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (.f32 2 u1) 1/2)))))) alphay) 2)
✓	12.5b	(tan.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (*.f32 2 u1) 1/2)))

Compiler

Compiled 390 to 280 computations (28.2% saved)

series25.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	alphay	@	0	(.f32 (/.f32 alphay alphax) (tan.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (.f32 2 u1) 1/2))))
2.0ms	alphax	@	0	(.f32 (/.f32 alphay alphax) (tan.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (.f32 2 u1) 1/2))))
2.0ms	u1	@	-inf	(tan.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (*.f32 2 u1) 1/2)))
1.0ms	alphay	@	-inf	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (.f32 2 u1) 1/2)))))) alphay) 2)
1.0ms	u1	@	-inf	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (.f32 2 u1) 1/2)))))) alphay) 2)

rewrite150.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

538×	`add-sqr-sqrt`
524×	`*-un-lft-identity`
522×	`pow1`
500×	`add-exp-log`
500×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	220
1	532	124
2	7094	124

Stop Event

1×	node limit

Counts

4 → 137

Calls

Call 1

Inputs
(tan.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (*.f32 2 u1) 1/2)))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (.f32 2 u1) 1/2)))))) alphay) 2)
(/.f32 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (*.f32 2 u1) 1/2))
(.f32 (/.f32 alphay alphax) (tan.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (.f32 2 u1) 1/2))))

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

simplify160.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1564×	`distribute-lft-in`
1454×	`associate-/r/`
1202×	`associate-/l/`
664×	`associate-/l*`
564×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	451	15379
1	1144	14625
2	4955	14625

Stop Event

1×	node limit

Counts

233 → 232

Calls

Call 1

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

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

localize254.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f32 (fma.f32 2 u1 1/2) (PI.f32))
✓	0.5b	(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2)
	12.5b	(tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))
✓	13.6b	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))

Compiler

Compiled 226 to 148 computations (34.5% saved)

series5.0ms (0%)

Counts

3 → 84

Calls

21 calls:

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

rewrite119.0ms (0.5%)

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	111
1	413	111
2	5088	111

Stop Event

1×	node limit

Counts

3 → 187

Calls

Call 1

Inputs

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

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

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (*.f32 (/.f32 1 alphax) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax))))) (#(struct:change #<rule egg-rr> (2) ((x *.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) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (/.f32 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simplify193.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1266×	`distribute-lft-in`
1174×	`times-frac`
1152×	`associate-/l*`
834×	`associate-/l/`
750×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	468	17385
1	1158	16637
2	6638	16637

Stop Event

1×	node limit

Counts

271 → 221

Calls

Call 1

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

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

eval1.9s (7.3%)

Compiler: Compiled 71256 to 49576 computations (30.4% saved)

prune1.1s (4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	1278	11	1289
Fresh	0	0	0
Picked	1	0	1
Done	2	2	4
Total	1281	13	1294

Error

0.2b

Counts

1294 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	17.0b	(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)
▶	17.0b	(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)
▶	1.7b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 u0 u0 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))))
▶	2.1b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))))
	17.4b	(/.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))))))
	16.9b	(/.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))))))
	16.9b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (+.f32 (.f32 2 (/.f32 (.f32 (.f32 alphay u1) (PI.f32)) alphax)) (/.f32 (.f32 (pow.f32 (PI.f32) 3) 8/3) (/.f32 alphax (.f32 alphay (pow.f32 u1 3))))))) 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 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (*.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))))))
▶	0.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2))) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (.f32 2 u1) 1/2)))))) 2) (*.f32 alphay alphay))) (-.f32 1 u0))))))
	0.7b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2))) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))) 2) (*.f32 alphay alphay))) (-.f32 1 u0))))))
▶	19.7b	(+.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))))
	3.2b	1

Compiler

Compiled 821 to 652 computations (20.6% saved)

localize540.0ms (2.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(*.f32 (fma.f32 2 u1 1/2) (PI.f32))
	0.5b	(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2)
	12.5b	(tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))
	12.5b	(tan.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (*.f32 2 u1) 1/2)))

Compiler

Compiled 664 to 448 computations (32.5% saved)

localize215.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 (PI.f32) 2) u1))))) alphay) 2))
✓	0.3b	(.f32 (.f32 (PI.f32) 2) u1)
✓	0.4b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 (PI.f32) 2) u1)))
✓	0.6b	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 (PI.f32) 2) u1))))) alphay) 2)

Compiler

Compiled 152 to 93 computations (38.8% saved)

series12.0ms (0%)

Counts

4 → 132

Calls

33 calls:

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

rewrite169.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

870×	`associate-/r/`
772×	`associate-/l/`
432×	`add-sqr-sqrt`
428×	`*-un-lft-identity`
426×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	154
1	420	154
2	5469	154

Stop Event

1×	node limit

Counts

4 → 208

Calls

Call 1

Inputs
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 (PI.f32) 2) u1))))) alphay) 2)
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 (PI.f32) 2) u1)))
(.f32 (.f32 (PI.f32) 2) u1)
(/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 (PI.f32) 2) u1))))) alphay) 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) (.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 (PI.f32) (.f32 2 u1)))))) alphay) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay)) (.f32 (sqrt.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 (cbrt.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay)) 2) (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay)) 2) (.f32 (cbrt.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 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simplify199.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1304×	`times-frac`
984×	`associate-/l*`
984×	`associate-r`
908×	`associate-/r*`
862×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	591	20564
1	1728	20324

Stop Event

1×	node limit

Counts

340 → 287

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

localize264.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2))
✓	0.5b	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)
✓	8.7b	(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
	31.7b	(tan.f32 (*.f32 1/2 (PI.f32)))

Compiler

Compiled 148 to 95 computations (35.8% saved)

series8.0ms (0%)

Counts

3 → 84

Calls

21 calls:

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

rewrite148.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

854×	`associate-/r/`
758×	`associate-/l/`
408×	`add-sqr-sqrt`
400×	`*-un-lft-identity`
398×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	121
1	400	121
2	5122	121

Stop Event

1×	node limit

Counts

3 → 193

Calls

Call 1

Inputs

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

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

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

Outputs

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

((#(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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay)) (*.f32 (sqrt.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 (cbrt.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 (/.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 *.f32 (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)) (*.f32 (cbrt.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 (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 4)) (cbrt.f32 (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 *.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2) (*.f32 (/.f32 1 alphay) (/.f32 1 alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2) (pow.f32 (/.f32 1 alphay) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) (sqrt.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay))) (sqrt.f32 (/.f32 (sin.f32 (atan.f32 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#<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2))))))))

simplify246.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1392×	`distribute-lft-in`
1322×	`times-frac`
918×	`associate-/l*`
882×	`associate-/r*`
764×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	479	15685
1	1421	15523
2	7233	15523

Stop Event

1×	node limit

Counts

277 → 237

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

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

localize221.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f32 (fma.f32 u0 u0 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2))
	0.5b	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)
	8.7b	(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
	31.7b	(tan.f32 (*.f32 1/2 (PI.f32)))

Compiler

Compiled 164 to 96 computations (41.5% saved)

series7.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite98.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

874×	`associate-/r/`
802×	`associate-/l/`
466×	`distribute-lft-in`
448×	`add-sqr-sqrt`
440×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	59
1	439	59
2	5584	59

Stop Event

1×	node limit

Counts

1 → 81

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) -2) u0) (*.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) -2) (*.f32 u0 u0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) -2) (*.f32 u0 u0)) (*.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) -2) u0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) -2) (*.f32 (*.f32 u0 u0) 1)) (*.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) -2) u0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 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alphay))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (hypot.f32 u0 (sqrt.f32 u0)) (*.f32 (hypot.f32 u0 (sqrt.f32 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 *.f32 (cbrt.f32 (*.f32 (fma.f32 u0 u0 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) -2))) (cbrt.f32 (/.f32 (pow.f32 (fma.f32 u0 u0 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 *.f32 (cbrt.f32 (/.f32 (pow.f32 (fma.f32 u0 u0 u0) 2) (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 4))) (cbrt.f32 (*.f32 (fma.f32 u0 u0 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 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alphay alphax)))) alphay) 4))) (/.f32 (fma.f32 u0 u0 u0) (cbrt.f32 (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 *.f32 (*.f32 (/.f32 (fma.f32 u0 u0 u0) (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) alphay) (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (fma.f32 u0 u0 u0) 1) (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 *.f32 (/.f32 1 (neg.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2))) (neg.f32 (fma.f32 u0 u0 u0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (hypot.f32 u0 (sqrt.f32 u0)) 1) (/.f32 (hypot.f32 u0 (sqrt.f32 u0)) (pow.f32 (/.f32 (sin.f32 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alphay))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 u0 u0 u0)) 2) 1) (/.f32 (cbrt.f32 (fma.f32 u0 u0 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 u0 u0 u0)) 2) (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 4))) (cbrt.f32 (*.f32 (fma.f32 u0 u0 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (fma.f32 u0 u0 u0) (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (*.f32 alphay (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (fma.f32 u0 u0 u0) (sin.f32 (atan.f32 (*.f32 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simplify107.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1298×	`associate-/r/`
976×	`distribute-lft-in`
968×	`distribute-rgt-in`
682×	`unswap-sqr`
444×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	252	8853
1	723	8205
2	2767	8205

Stop Event

1×	node limit

Counts

117 → 116

Calls

Call 1

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

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

localize294.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f32 (PI.f32) (.f32 2 u1))
	0.4b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
	0.6b	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2)
✓	0.6b	(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)

Compiler

Compiled 242 to 156 computations (35.5% saved)

series426.0ms (1.6%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
146.0ms	u1	@	inf	(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)
71.0ms	u0	@	-inf	(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)
54.0ms	alphax	@	0	(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)
46.0ms	alphax	@	-inf	(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)
21.0ms	u1	@	-inf	(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)

rewrite61.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

620×	`add-sqr-sqrt`
600×	`*-un-lft-identity`
594×	`pow1`
574×	`add-cube-cbrt`
572×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	81
1	630	81

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(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)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.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)))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))) -1/6) (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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (+.f32 1 (/.f32 (*.f32 u0 (pow.f32 (/.f32 (sin.f32 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(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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)) (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))) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.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))) (*.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))) -1/6)) (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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.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)) 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))) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.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)) (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))) -1/4))) (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))) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.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)) (cbrt.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)))) (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))) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (pow.f32 (+.f32 1 (/.f32 (*.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 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#<rule egg-rr> (2) ((x *.f32 (pow.f32 (hypot.f32 1 (/.f32 (/.f32 (sqrt.f32 u0) (/.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 (/.f32 (sqrt.f32 u0) (/.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.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)))) 2) -1/2) (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)))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.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))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))

simplify318.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1322×	`associate-r`
978×	`*-commutative`
918×	`associate-l`
822×	`associate-+r+`
820×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	588	47986
1	2100	47674

Stop Event

1×	node limit

Counts

72 → 104

Calls

Call 1

Inputs
1
(+.f32 1 (.f32 u0 (+.f32 (.f32 -1/3 (/.f32 (pow.f32 alphay 2) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 2))) (.f32 -1/6 (/.f32 (pow.f32 alphay 2) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay) alphax))) 2))))))
(+.f32 (.f32 (pow.f32 u0 2) (+.f32 (.f32 1/9 (/.f32 (pow.f32 alphay 4) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 4))) (+.f32 (.f32 1/72 (/.f32 (pow.f32 alphay 4) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 4))) (+.f32 (.f32 1/12 (+.f32 (.f32 -1 (/.f32 (pow.f32 alphay 4) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 4))) (.f32 -2 (+.f32 (/.f32 (pow.f32 alphay 2) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 2)) (.f32 -1 (/.f32 (pow.f32 alphay 4) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 4))))))) (.f32 1/6 (+.f32 (.f32 -1 (/.f32 (pow.f32 alphay 4) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 4))) (.f32 -2 (+.f32 (/.f32 (pow.f32 alphay 2) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 2)) (.f32 -1 (/.f32 (pow.f32 alphay 4) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 4))))))))))) (+.f32 1 (.f32 u0 (+.f32 (.f32 -1/3 (/.f32 (pow.f32 alphay 2) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 2))) (.f32 -1/6 (/.f32 (pow.f32 alphay 2) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) 2)))))))
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(exp.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))
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Outputs
1
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(.f32 (cbrt.f32 (/.f32 1 (+.f32 1 (.f32 (/.f32 u0 (-.f32 1 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) alphay) -2))))) (.f32 (cbrt.f32 (cbrt.f32 (/.f32 1 (+.f32 1 (.f32 (/.f32 u0 (-.f32 1 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) alphay) -2)))))) (cbrt.f32 (pow.f32 (+.f32 1 (.f32 (/.f32 u0 (-.f32 1 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) alphay) -2))) -1/6))))
(.f32 (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))) -1/4)) 3) (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))) -1/4)) 3))
(pow.f32 (+.f32 1 (/.f32 u0 (/.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) alphay) -2)))) -1/2)
(pow.f32 (+.f32 1 (.f32 (/.f32 u0 (-.f32 1 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) alphay) -2))) -1/2)
(.f32 (pow.f32 (cbrt.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))) 3) (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))) -1/6))
(.f32 (pow.f32 (+.f32 1 (/.f32 u0 (/.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) alphay) -2)))) -1/6) (cbrt.f32 (/.f32 1 (+.f32 1 (/.f32 u0 (/.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) alphay) -2)))))))
(.f32 (pow.f32 (+.f32 1 (.f32 (/.f32 u0 (-.f32 1 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) alphay) -2))) -1/6) (cbrt.f32 (/.f32 1 (+.f32 1 (.f32 (/.f32 u0 (-.f32 1 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) alphay) -2))))))
(.f32 (pow.f32 1 -1/2) (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 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) alphay) -2)))) -1/2)
(pow.f32 (+.f32 1 (.f32 (/.f32 u0 (-.f32 1 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) alphay) -2))) -1/2)
(.f32 (pow.f32 (hypot.f32 1 (/.f32 (/.f32 (sqrt.f32 u0) (/.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 (/.f32 (sqrt.f32 u0) (/.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 (sqrt.f32 (-.f32 1 u0)) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) alphay)))) -1)
(pow.f32 (hypot.f32 1 (/.f32 (sqrt.f32 u0) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) alphay) (sqrt.f32 (-.f32 1 u0))))) -1)
(.f32 (pow.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)))) 2) -1/2) (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)))) -1/2))
(.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 1 (/.f32 u0 (/.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) alphay) -2))))) 2) -1/2) (pow.f32 (cbrt.f32 (+.f32 1 (/.f32 u0 (/.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) alphay) -2))))) -1/2))
(.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 1 (.f32 (/.f32 u0 (-.f32 1 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) alphay) -2)))) 2) -1/2) (pow.f32 (cbrt.f32 (+.f32 1 (.f32 (/.f32 u0 (-.f32 1 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) alphay) -2)))) -1/2))
(sqrt.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))
(sqrt.f32 (/.f32 1 (+.f32 1 (/.f32 u0 (/.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) alphay) -2))))))
(sqrt.f32 (/.f32 1 (+.f32 1 (.f32 (/.f32 u0 (-.f32 1 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) alphay) -2)))))
(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)))
(pow.f32 (+.f32 1 (/.f32 u0 (/.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) alphay) -2)))) -1/2)
(pow.f32 (+.f32 1 (.f32 (/.f32 u0 (-.f32 1 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) alphay) -2))) -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))))
(pow.f32 (+.f32 1 (/.f32 u0 (/.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) alphay) -2)))) -1/2)
(pow.f32 (+.f32 1 (.f32 (/.f32 u0 (-.f32 1 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 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 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) alphay) -2)))) -1/2)
(pow.f32 (+.f32 1 (.f32 (/.f32 u0 (-.f32 1 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 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 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) alphay) -2)))) -1/2)
(pow.f32 (+.f32 1 (.f32 (/.f32 u0 (-.f32 1 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) alphay) -2))) -1/2)
(exp.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)))))
(pow.f32 (exp.f32 -1/2) (log1p.f32 (/.f32 u0 (/.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) alphay) -2)))))
(pow.f32 (exp.f32 -1/2) (log1p.f32 (.f32 (/.f32 u0 (-.f32 1 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 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))
(pow.f32 (exp.f32 -1/2) (log1p.f32 (/.f32 u0 (/.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) alphay) -2)))))
(pow.f32 (exp.f32 -1/2) (log1p.f32 (.f32 (/.f32 u0 (-.f32 1 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) 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 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) alphay) -2)))) -1/2)
(pow.f32 (+.f32 1 (.f32 (/.f32 u0 (-.f32 1 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)))) alphay) -2))) -1/2)

eval2.1s (7.9%)

Compiler: Compiled 99018 to 66858 computations (32.5% saved)

prune500.0ms (1.9%)

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	1328	7	1335
Fresh	1	5	6
Picked	0	1	1
Done	2	4	6
Total	1331	17	1348

Error

0.2b

Counts

1348 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	17.0b	(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)
	16.9b	(pow.f32 (cbrt.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (/.f32 2 (/.f32 alphax (.f32 u1 (.f32 (PI.f32) alphay)))))) alphay) 2)) (-.f32 1 u0))) -1/2)) 3)
✓	17.0b	(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)
	1.7b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 u0 u0 u0) (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))) (.f32 alphay (*.f32 alphay 2)))))))
	2.1b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))) (.f32 alphay (*.f32 alphay 2)))))))
	17.4b	(/.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))))))
	16.9b	(/.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 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (*.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))))))
✓	0.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2))) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (.f32 2 u1) 1/2)))))) 2) (*.f32 alphay alphay))) (-.f32 1 u0))))))
	0.7b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2))) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))) 2) (*.f32 alphay alphay))) (-.f32 1 u0))))))
	2.7b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))) 2))) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (.f32 2 u1) 1/2)))))) 2) (.f32 alphay alphay))) (-.f32 1 u0))))))
	19.6b	(+.f32 1 (.f32 -1/2 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (+.f32 (.f32 2 (/.f32 alphay (/.f32 alphax (.f32 u1 (PI.f32))))) (/.f32 (.f32 (pow.f32 (PI.f32) 3) 8/3) (/.f32 alphax (*.f32 alphay (pow.f32 u1 3))))))) alphay) 2))))
✓	19.7b	(+.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))))
	19.6b	(+.f32 1 (.f32 -1/2 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 (.f32 alphay (.f32 u1 (PI.f32))) alphax)))) alphay) 2))))
	18.2b	(+.f32 1 (.f32 -1/2 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (log.f32 (pow.f32 (exp.f32 (/.f32 alphay alphax)) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))))) alphay) 2))))
	3.2b	1

Compiler

Compiled 607 to 483 computations (20.4% saved)

regimes228.0ms (0.9%)

Counts

28 → 1

Calls

Call 1

Inputs
1
(+.f32 1 (.f32 -1/2 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 (.f32 alphay (.f32 u1 (PI.f32))) alphax)))) alphay) 2))))
(+.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))))
(/.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 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))) (.f32 alphay (*.f32 alphay 2)))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))) alphay) 2) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (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 (/.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 (fma.f32 u0 u0 u0) (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))) (.f32 alphay (*.f32 alphay 2)))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (*.f32 2 u1) 1/2)))))) alphay) 2) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 u0 u0 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (-.f32 1 u0))))))
(pow.f32 (cbrt.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (/.f32 2 (/.f32 alphax (.f32 u1 (.f32 (PI.f32) alphay)))))) alphay) 2)) (-.f32 1 u0))) -1/2)) 3)
(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 (.f32 -1/2 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (+.f32 (.f32 2 (/.f32 alphay (/.f32 alphax (.f32 u1 (PI.f32))))) (/.f32 (.f32 (pow.f32 (PI.f32) 3) 8/3) (/.f32 alphax (*.f32 alphay (pow.f32 u1 3))))))) alphay) 2))))
(+.f32 1 (.f32 -1/2 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (log.f32 (pow.f32 (exp.f32 (/.f32 alphay alphax)) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))))) alphay) 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)
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (+.f32 (.f32 2 (/.f32 (.f32 (.f32 alphay u1) (PI.f32)) alphax)) (/.f32 (.f32 (pow.f32 (PI.f32) 3) 8/3) (/.f32 alphax (.f32 alphay (pow.f32 u1 3))))))) alphay) 2) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))) 2))) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (.f32 2 u1) 1/2)))))) 2) (.f32 alphay alphay))) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2))) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))) 2) (*.f32 alphay alphay))) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2))) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (.f32 2 u1) 1/2)))))) 2) (*.f32 alphay alphay))) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2))) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 2) (*.f32 alphay alphay))) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (+.f32 (/.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 alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) 2) (*.f32 alphay alphay))) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (fma.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphay) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphay) (.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphax))) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 (/.f32 1 (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0)))))

Outputs

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

Calls

13 calls:

37.0ms	u1
33.0ms	(tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))
16.0ms	alphax
15.0ms	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (.f32 alphay alphay)))
14.0ms	(/.f32 (.f32 (/.f32 1 (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0))

Results

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

Compiler

Compiled 1596 to 1106 computations (30.7% saved)

regimes70.0ms (0.3%)

Counts

22 → 1

Calls

Call 1

Inputs
1
(+.f32 1 (.f32 -1/2 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 (.f32 alphay (.f32 u1 (PI.f32))) alphax)))) alphay) 2))))
(+.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))))
(/.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 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))) (.f32 alphay (*.f32 alphay 2)))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))) alphay) 2) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (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 (/.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 (fma.f32 u0 u0 u0) (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))) (.f32 alphay (*.f32 alphay 2)))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (*.f32 2 u1) 1/2)))))) alphay) 2) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 u0 u0 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (-.f32 1 u0))))))
(pow.f32 (cbrt.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (/.f32 2 (/.f32 alphax (.f32 u1 (.f32 (PI.f32) alphay)))))) alphay) 2)) (-.f32 1 u0))) -1/2)) 3)
(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 (.f32 -1/2 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (+.f32 (.f32 2 (/.f32 alphay (/.f32 alphax (.f32 u1 (PI.f32))))) (/.f32 (.f32 (pow.f32 (PI.f32) 3) 8/3) (/.f32 alphax (*.f32 alphay (pow.f32 u1 3))))))) alphay) 2))))
(+.f32 1 (.f32 -1/2 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (log.f32 (pow.f32 (exp.f32 (/.f32 alphay alphax)) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))))) alphay) 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)
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (+.f32 (.f32 2 (/.f32 (.f32 (.f32 alphay u1) (PI.f32)) alphax)) (/.f32 (.f32 (pow.f32 (PI.f32) 3) 8/3) (/.f32 alphax (.f32 alphay (pow.f32 u1 3))))))) alphay) 2) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))) 2))) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (.f32 2 u1) 1/2)))))) 2) (.f32 alphay alphay))) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) 2))) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))) 2) (*.f32 alphay alphay))) (-.f32 1 u0))))))

Outputs

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

Calls

4 calls:

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

Results

Error	Segments	Branch
0.7b	1	`u0`
0.7b	1	`u1`
0.7b	1	`alphax`
0.7b	1	`alphay`

Compiler

Compiled 668 to 475 computations (28.9% saved)

regimes104.0ms (0.4%)

Counts

21 → 1

Calls

Call 1

Inputs
1
(+.f32 1 (.f32 -1/2 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 2 (/.f32 (.f32 alphay (.f32 u1 (PI.f32))) alphax)))) alphay) 2))))
(+.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))))
(/.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 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))) (.f32 alphay (*.f32 alphay 2)))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))) alphay) 2) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (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 (/.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 (fma.f32 u0 u0 u0) (/.f32 (-.f32 1 (cos.f32 (.f32 2 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))) (.f32 alphay (*.f32 alphay 2)))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (*.f32 2 u1) 1/2)))))) alphay) 2) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (fma.f32 u0 u0 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (-.f32 1 u0))))))
(pow.f32 (cbrt.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (/.f32 2 (/.f32 alphax (.f32 u1 (.f32 (PI.f32) alphay)))))) alphay) 2)) (-.f32 1 u0))) -1/2)) 3)
(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 (.f32 -1/2 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (+.f32 (.f32 2 (/.f32 alphay (/.f32 alphax (.f32 u1 (PI.f32))))) (/.f32 (.f32 (pow.f32 (PI.f32) 3) 8/3) (/.f32 alphax (*.f32 alphay (pow.f32 u1 3))))))) alphay) 2))))
(+.f32 1 (.f32 -1/2 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (log.f32 (pow.f32 (exp.f32 (/.f32 alphay alphax)) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))))) alphay) 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)
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (+.f32 (.f32 2 (/.f32 (.f32 (.f32 alphay u1) (PI.f32)) alphax)) (/.f32 (.f32 (pow.f32 (PI.f32) 3) 8/3) (/.f32 alphax (.f32 alphay (pow.f32 u1 3))))))) alphay) 2) (-.f32 1 u0))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))) 2))) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 2 u1) (.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (.f32 2 u1) 1/2)))))) 2) (.f32 alphay alphay))) (-.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 (*.f32 (-.f32 (*.f32 (*.f32 2 u1) (*.f32 2 u1)) 1/4) (PI.f32)) (-.f32 (*.f32 2 u1) 1/2)))))) alphay) 2) (-.f32 1 u0))))))

Calls

4 calls:

38.0ms	u1
11.0ms	alphax
9.0ms	alphay
9.0ms	u0

Results

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

Compiler

Compiled 619 to 443 computations (28.4% saved)

regimes30.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

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

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:

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

Results

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

Compiler

Compiled 254 to 187 computations (26.4% saved)

regimes22.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Error	Segments	Branch
2.1b	1	`u0`
2.1b	1	`u1`
2.1b	1	`alphax`
2.1b	1	`alphay`

Compiler

Compiled 142 to 107 computations (24.6% saved)

regimes17.0ms (0.1%)

Accuracy

Total -16.7b remaining (-521.6%)

Threshold costs -16.7b (-521.6%)

Counts

4 → 1

Calls

Call 1

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

Outputs
1

Calls

4 calls:

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

Results

Error	Segments	Branch
3.2b	1	`u0`
3.2b	1	`u1`
3.2b	1	`alphax`
3.2b	1	`alphay`

Compiler

Compiled 94 to 72 computations (23.4% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

32×	`*-commutative`
28×	`+-commutative`
12×	`sub-neg`
4×	`neg-mul-1`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	634
1	117	634
2	126	634
3	130	634
4	132	634

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 228 to 181 computations (20.6% saved)

soundness267.0ms (1%)

Algorithm

3×	egg-herbie

Rules

1736×	`associate-*r/`
1524×	`associate-*l/`
1248×	`fma-def`
1198×	`associate-/l*`
1166×	`associate-/r*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	275
1	70	265
2	123	249
3	226	233
4	513	233
5	1568	233
6	6795	233
0	322	16825
1	728	15921
2	3592	15909
0	324	10584
1	701	10404
2	3019	10404

Stop Event

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

Compiler

Compiled 308 to 225 computations (26.9% saved)

end95.0ms (0.4%)

Compiler: Compiled 208 to 151 computations (27.4% saved)

Details

analyze1.1s (4.1%)

sample8.1s (30.8%)

preprocess74.0ms (0.3%)

simplify60.0ms (0.2%)

eval8.0ms (0%)

prune2.0ms (0%)

localize371.0ms (1.4%)

series32.0ms (0.1%)

rewrite123.0ms (0.5%)

simplify151.0ms (0.6%)

eval460.0ms (1.7%)

prune107.0ms (0.4%)

localize397.0ms (1.5%)

series13.0ms (0%)

rewrite101.0ms (0.4%)

simplify116.0ms (0.4%)

localize177.0ms (0.7%)

series27.0ms (0.1%)

rewrite130.0ms (0.5%)

simplify159.0ms (0.6%)

localize271.0ms (1%)

series19.0ms (0.1%)

rewrite91.0ms (0.3%)

simplify100.0ms (0.4%)

eval1.2s (4.6%)

prune403.0ms (1.5%)

localize335.0ms (1.3%)

series6.0ms (0%)

rewrite93.0ms (0.4%)

simplify111.0ms (0.4%)

localize190.0ms (0.7%)

series36.0ms (0.1%)

rewrite121.0ms (0.5%)

simplify160.0ms (0.6%)

localize156.0ms (0.6%)

series48.0ms (0.2%)

rewrite134.0ms (0.5%)

simplify226.0ms (0.9%)

localize261.0ms (1%)

series25.0ms (0.1%)

rewrite150.0ms (0.6%)

simplify160.0ms (0.6%)

localize254.0ms (1%)

series5.0ms (0%)

rewrite119.0ms (0.5%)

simplify193.0ms (0.7%)

eval1.9s (7.3%)

prune1.1s (4%)

localize540.0ms (2.1%)

localize215.0ms (0.8%)

series12.0ms (0%)

rewrite169.0ms (0.6%)

simplify199.0ms (0.8%)

localize264.0ms (1%)

series8.0ms (0%)

rewrite148.0ms (0.6%)

simplify246.0ms (0.9%)

localize221.0ms (0.8%)

series7.0ms (0%)

rewrite98.0ms (0.4%)

simplify107.0ms (0.4%)

localize294.0ms (1.1%)

series426.0ms (1.6%)

rewrite61.0ms (0.2%)

simplify318.0ms (1.2%)

eval2.1s (7.9%)

prune500.0ms (1.9%)

regimes228.0ms (0.9%)

regimes70.0ms (0.3%)

regimes104.0ms (0.4%)

regimes30.0ms (0.1%)

regimes22.0ms (0.1%)

regimes17.0ms (0.1%)

simplify15.0ms (0.1%)

soundness267.0ms (1%)

end95.0ms (0.4%)

Profiling