Details

analyze1.0s (3.6%)

Algorithm

1×

Search

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

Compiler

Compiled 123 to 87 computations (29.3% saved)

sample8.1s (27.9%)

Results

8.1s

8256×

body

256

valid

Bogosity

preprocess71.0ms (0.2%)

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))))))

eval9.0ms (0%)

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

prune3.0ms (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

0.1b

Counts

7 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(/.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

▶

0.1b

(/.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)

localize491.0ms (1.7%)

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))
✓	12.3b	(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)

series39.0ms (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)))
3.0ms	alphax	@	0	(.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2)))))) alphax))
3.0ms	u1	@	-inf	(fma.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphay) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphay) (.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2)))))) alphax)))
3.0ms	u1	@	0	(tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))
2.0ms	alphax	@	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)))

rewrite126.0ms (0.4%)

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)))))))

simplify208.0ms (0.7%)

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)

eval471.0ms (1.6%)

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

prune83.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	301	2	303
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	302	2	304

Error

0.1b

Counts

304 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2) (-.f32 1 u0))))))
▶	0.6b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (-.f32 1 u0))))))

Status

Error

Program

▶

0.1b

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

▶

0.6b

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

Compiler

Compiled 80 to 62 computations (22.5% saved)

localize188.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
✓	0.4b	(.f32 (/.f32 alphay alphax) (tan.f32 (.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)
✓	12.3b	(tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))

Compiler

Compiled 226 to 148 computations (34.5% saved)

series35.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
7.0ms	u1	@	-inf	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))
4.0ms	alphax	@	0	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))
2.0ms	alphax	@	inf	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2)
2.0ms	alphay	@	0	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))
2.0ms	alphay	@	-inf	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2)

rewrite134.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1822×	`associate-/r*`
1502×	`associate-/l*`
422×	`add-sqr-sqrt`
414×	`*-un-lft-identity`
412×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	124
1	414	124
2	5130	124

Stop Event

1×	node limit

Counts

4 → 298

Calls

Call 1

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

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

simplify178.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1540×	`associate-/l/`
1534×	`times-frac`
1080×	`associate-/r*`
1006×	`associate-/r/`
778×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	830	27482
1	2042	26584

Stop Event

1×	node limit

Counts

394 → 450

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

localize274.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))
✓	0.5b	(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)
	12.3b	(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)

series29.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite98.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	146
1	479	146
2	5993	146

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

Inputs

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

(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)

Outputs

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

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

simplify111.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1494×	`associate-*r/`
1140×	`unswap-sqr`
934×	`associate-*l/`
776×	`*-commutative`
672×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	214	11161
1	563	9337
2	2489	9119

Stop Event

1×	node limit

Counts

119 → 85

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

eval1.2s (4%)

Compiler: Compiled 53488 to 37132 computations (30.6% saved)

prune458.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	987	4	991
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	988	5	993

Error

0.1b

Counts

993 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) 2) (-.f32 1 u0))))))
▶	29.0b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (-.f32 (exp.f32 (log1p.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)))) 1))) alphay) 2) (-.f32 1 u0))))))
✓	0.6b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (-.f32 1 u0))))))
▶	0.7b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))) alphay) 2) (-.f32 1 u0))))))
▶	16.3b	(/.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))))))

Compiler

Compiled 179 to 144 computations (19.6% saved)

localize194.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))
✓	0.5b	(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2)
✓	12.3b	(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)

series20.0ms (0.1%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
10.0ms	u1	@	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	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	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)

rewrite170.0ms (0.6%)

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	148
1	413	148
2	5088	148

Stop Event

1×	node limit

Counts

4 → 312

Calls

Call 1

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

Outputs
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((#(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 (/.f32 1 (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 1 (/.f32 1 (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))) (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) (/.f32 (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (sqrt.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (cbrt.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))) (cbrt.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))) (/.f32 (cos.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) (cbrt.f32 (sin.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 (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 (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 (cos.f32 (atan.f32 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simplify235.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1328×	`associate-/r*`
1064×	`associate-r`
1014×	`associate-/r/`
750×	`associate-l`
736×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	826	27098
1	2037	26744
2	7726	26744

Stop Event

1×	node limit

Counts

432 → 412

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

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

localize253.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))) alphay) 2) (-.f32 1 u0))
✓	0.6b	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))) alphay) 2)
✓	7.6b	(.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)

series60.0ms (0.2%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
39.0ms	alphax	@	-inf	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))) alphay) 2)
2.0ms	alphay	@	0	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))
2.0ms	alphay	@	-inf	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))) alphay) 2)
1.0ms	alphax	@	0	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))
1.0ms	alphax	@	inf	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))) alphay) 2)

rewrite118.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 207

Calls

Call 1

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

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

simplify204.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

291 → 281

Calls

Call 1

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

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

localize280.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(-.f32 (exp.f32 (log1p.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)))) 1)
	0.3b	(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
✓	0.4b	(.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))
	12.3b	(tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))

Compiler

Compiled 302 to 209 computations (30.8% saved)

series136.0ms (0.5%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
46.0ms	u1	@	-inf	(-.f32 (exp.f32 (log1p.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)))) 1)
37.0ms	u1	@	inf	(-.f32 (exp.f32 (log1p.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)))) 1)
31.0ms	alphax	@	inf	(-.f32 (exp.f32 (log1p.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)))) 1)
5.0ms	u1	@	0	(-.f32 (exp.f32 (log1p.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)))) 1)
4.0ms	alphax	@	0	(-.f32 (exp.f32 (log1p.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)))) 1)

rewrite132.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1110×	`associate-/r*`
786×	`associate-/l*`
698×	`distribute-rgt-in`
654×	`distribute-lft-in`
394×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	66
1	409	66
2	4731	66

Stop Event

1×	node limit

Counts

2 → 337

Calls

Call 1

Inputs
(.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))
(-.f32 (exp.f32 (log1p.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)))) 1)

Outputs

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

simplify256.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1190×	`associate-/l*`
1126×	`associate-r`
1014×	`associate-/r*`
930×	`*-commutative`
730×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	804	40831
1	2472	40709

Stop Event

1×	node limit

Counts

409 → 405

Calls

Call 1

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

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

localize298.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))
✓	0.5b	(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 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) 2)
	12.3b	(tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))
	12.3b	(tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))

Compiler

Compiled 436 to 285 computations (34.6% saved)

series69.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
23.0ms	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 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) 2)
11.0ms	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 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) 2)
10.0ms	alphax	@	0	(pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) 2)
8.0ms	alphay	@	-inf	(pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) 2)
4.0ms	u1	@	inf	(pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) 2)

rewrite93.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

982×	`associate-/l/`
796×	`associate-/r/`
528×	`add-sqr-sqrt`
516×	`*-un-lft-identity`
510×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	109
1	588	109
2	6517	109

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

Outputs

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

simplify182.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1494×	`times-frac`
1068×	`associate-r`
1008×	`associate-/r*`
928×	`associate-/l*`
796×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	530	36529
1	1764	34073

Stop Event

1×	node limit

Counts

59 → 88

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 1 (pow.f32 alphax 2)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)))
(+.f32 (/.f32 1 (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 (/.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 4)))) (.f32 1/4 (/.f32 1 (.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 (/.f32 1/2 (.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) (pow.f32 alphax 2))) 2)) (pow.f32 alphay 2))))
(+.f32 (/.f32 1 (pow.f32 alphax 2)) (+.f32 (.f32 (+.f32 (.f32 1/4 (/.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 4) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 4) (pow.f32 alphax 6)))) (.f32 -2 (/.f32 (+.f32 (.f32 -1/4 (/.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 4) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 4) (pow.f32 alphax 5)))) (.f32 -1/8 (/.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 4) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 4) (pow.f32 alphax 5))))) alphax))) (pow.f32 alphay 4)) (+.f32 (/.f32 (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 (/.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphax 4)))) (.f32 1/4 (/.f32 1 (.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 (/.f32 1/2 (.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) (pow.f32 alphax 2))) 2)) (pow.f32 alphay 2)))))
(/.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2)) (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 (/.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2))) (.f32 -1 (/.f32 (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 4) (pow.f32 alphax 2)) (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 4) (pow.f32 alphay 4))))))
(+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)) (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2))) (+.f32 (.f32 1/4 (/.f32 (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 6) (pow.f32 alphax 4)) (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 6) (pow.f32 alphay 6)))) (+.f32 (.f32 -1 (/.f32 (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 4) (pow.f32 alphax 2)) (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 4) (pow.f32 alphay 4)))) (.f32 -2 (/.f32 (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (+.f32 (.f32 -1/8 (/.f32 (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 5) (pow.f32 alphax 4)) (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 5))) (.f32 -1/4 (/.f32 (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 5) (pow.f32 alphax 4)) (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 5))))) (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (pow.f32 alphay 6))))))))
(-.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 alphay 2))) (+.f32 (/.f32 (pow.f32 (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 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 3) (.f32 (+.f32 (.f32 -1/8 (/.f32 (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 5) (pow.f32 alphax 4)) (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 5))) (.f32 -1/4 (/.f32 (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 5) (pow.f32 alphax 4)) (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 5)))) (pow.f32 alphax 2))) (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 3) (pow.f32 alphay 8))) (+.f32 (.f32 -1/4 (/.f32 (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 4) (.f32 (-.f32 (+.f32 (.f32 -2 (/.f32 (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (+.f32 (.f32 -1/8 (/.f32 (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 5) (pow.f32 alphax 4)) (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 5))) (.f32 -1/4 (/.f32 (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 5) (pow.f32 alphax 4)) (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 5))))) (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))))) (.f32 1/4 (/.f32 (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 6) (pow.f32 alphax 4)) (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 6)))) (pow.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 4) (pow.f32 alphax 2)) (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 4)) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) alphay) alphax))) 2)))))) 2)) (pow.f32 alphax 2))) (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 4) (.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2)) (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 8))))) (+.f32 (.f32 -2 (/.f32 (.f32 (+.f32 (.f32 -1/2 (/.f32 (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2) (.f32 (+.f32 (.f32 -1/8 (/.f32 (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 5) (pow.f32 alphax 4)) (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 5))) (.f32 -1/4 (/.f32 (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 5) (pow.f32 alphax 4)) (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 5)))) (pow.f32 alphax 2))) (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 2))) (.f32 1/8 (/.f32 (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 7) (pow.f32 alphax 6)) (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 7)))) (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32)))) (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (pow.f32 alphay 8)))) (+.f32 (.f32 -2 (/.f32 (.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (+.f32 (.f32 -1/8 (/.f32 (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 5) (pow.f32 alphax 4)) (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 5))) (.f32 -1/4 (/.f32 (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 5) (pow.f32 alphax 4)) (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 5))))) (.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) (pow.f32 alphay 6)))) (+.f32 (.f32 -1 (/.f32 (.f32 (pow.f32 (cos.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 4) (pow.f32 alphax 2)) (.f32 (pow.f32 (sin.f32 (.f32 (+.f32 (.f32 2 u1) 1/2) (PI.f32))) 4) 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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 1 (.f32 (+.f32 1 (/.f32 (.f32 (pow.f32 alphay 2) (pow.f32 (sin.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))) 2)) (.f32 (pow.f32 (cos.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))) 2) (pow.f32 alphax 2)))) (pow.f32 alphax 2))))
(+.f32 (/.f32 (pow.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))) -2) (.f32 alphax alphax)) (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) (/.f32 (pow.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))) -2) (*.f32 alphax alphax)))
(-.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 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) 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 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) 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 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))))
(.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 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) 2) 1)
(.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 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))) (.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 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))) (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))))
(.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 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))) 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 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) 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 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))) 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 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))) (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))))
(.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 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) 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 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))) 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 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (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 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))))) (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 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))))
(.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 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) (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 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))) 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 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))))))))))
(/.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 (/.f32 (pow.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))) -2) (.f32 alphax alphax)) (/.f32 (pow.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))) -2) (.f32 alphax alphax)))) (-.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 (pow.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))) -2) (*.f32 alphax alphax))))
(/.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 (/.f32 (pow.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))) -2) (.f32 alphax alphax)) 3)) (+.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2)) (-.f32 (.f32 (/.f32 (pow.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))) -2) (.f32 alphax alphax)) (/.f32 (pow.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))) -2) (.f32 alphax alphax))) (.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 (pow.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))) -2) (*.f32 alphax alphax))))))
(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 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) 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 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) 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 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) 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 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) 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 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) 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 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))))))
(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 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))))) 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 1 (.f32 alphax (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))))) 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) (/.f32 (pow.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))) -2) (*.f32 alphax alphax)))

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

eval3.0s (10.3%)

Compiler: Compiled 107966 to 78680 computations (27.1% saved)

prune1.4s (4.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	1527	4	1531
Fresh	0	0	0
Picked	0	1	1
Done	2	2	4
Total	1529	7	1536

Error

0.1b

Counts

1536 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.7b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (-.f32 (exp.f32 (log1p.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2))) (-.f32 1 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2) (neg.f32 u0))))))))
✓	0.1b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) 2) (-.f32 1 u0))))))
▶	16.5b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2) (-.f32 1 u0))))))
✓	0.6b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (-.f32 1 u0))))))
✓	0.7b	(/.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))))))
▶	9.7b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) (neg.f32 u0))))))
▶	2.4b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)))) alphay) 2) (/.f32 1 (.f32 alphax alphax))) (-.f32 1 u0))))))

Compiler

Compiled 258 to 206 computations (20.2% saved)

localize534.0ms (1.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f32 (PI.f32) (fma.f32 2 u1 1/2))
	0.4b	(.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax))
✓	0.5b	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)))) alphay) 2)
	12.3b	(tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))

Compiler

Compiled 287 to 180 computations (37.3% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite106.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1796×	`associate-/r*`
1486×	`associate-/l*`
422×	`add-sqr-sqrt`
414×	`*-un-lft-identity`
412×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	53
1	414	53
2	5128	53

Stop Event

1×	node limit

Counts

1 → 136

Calls

Call 1

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

Outputs

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

simplify133.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

854×	`distribute-frac-neg`
782×	`associate-/l/`
702×	`associate-/l*`
640×	`div-sub`
612×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	379	12848
1	943	12824
2	4409	12824

Stop Event

1×	node limit

Counts

172 → 176

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

localize202.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) (neg.f32 u0))
✓	0.6b	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)))) alphay) 2)
✓	7.6b	(.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax))
	31.7b	(tan.f32 (*.f32 1/2 (PI.f32)))

Compiler

Compiled 182 to 123 computations (32.4% saved)

series13.0ms (0%)

Counts

3 → 84

Calls

21 calls:

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

rewrite122.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1876×	`associate-/r*`
1506×	`associate-/l*`
428×	`add-sqr-sqrt`
416×	`*-un-lft-identity`
414×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	125
1	420	121
2	5337	121

Stop Event

1×	node limit

Counts

3 → 238

Calls

Call 1

Inputs

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

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

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) u0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 0 (exp.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) u0)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) u0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) u0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) u0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) (sqrt.f32 u0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) u0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) u0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) u0))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 4) (*.f32 u0 u0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) u0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) u0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 u0 3) (pow.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) 3) (pow.f32 u0 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) u0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) u0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) u0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) u0)))))))

simplify172.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1214×	`associate-/l/`
1068×	`associate-/l*`
962×	`distribute-lft-in`
780×	`associate-/r/`
754×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	636	17436
1	1562	17160
2	7228	17160

Stop Event

1×	node limit

Counts

322 → 307

Calls

Call 1

Inputs
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (.f32 (sin.f32 (.f32 1/2 (PI.f32))) alphay) (.f32 (cos.f32 (.f32 1/2 (PI.f32))) alphax))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(.f32 -1 (/.f32 (.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (pow.f32 alphay 2)))
(.f32 -1 (/.f32 (.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (pow.f32 alphay 2)))
(.f32 -1 (/.f32 (.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (pow.f32 alphay 2)))
(.f32 -1 (/.f32 (.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (pow.f32 alphay 2)))
(.f32 -1 (/.f32 (.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (pow.f32 alphay 2)))
(.f32 -1 (/.f32 (.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (pow.f32 alphay 2)))
(.f32 -1 (/.f32 (.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (pow.f32 alphay 2)))
(.f32 -1 (/.f32 (.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (pow.f32 alphay 2)))
(.f32 -1 (/.f32 (.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (pow.f32 alphay 2)))
(.f32 -1 (/.f32 (.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (pow.f32 alphay 2)))
(.f32 -1 (/.f32 (.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (pow.f32 alphay 2)))
(.f32 -1 (/.f32 (.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (pow.f32 alphay 2)))
(.f32 -1 (/.f32 (.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (pow.f32 alphay 2)))
(.f32 -1 (/.f32 (.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (pow.f32 alphay 2)))
(.f32 -1 (/.f32 (.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (pow.f32 alphay 2)))
(.f32 -1 (/.f32 (.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (pow.f32 alphay 2)))
(.f32 -1 (/.f32 (.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (pow.f32 alphay 2)))
(.f32 -1 (/.f32 (.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (pow.f32 alphay 2)))
(.f32 -1 (/.f32 (.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (pow.f32 alphay 2)))
(.f32 -1 (/.f32 (.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (pow.f32 alphay 2)))
(.f32 -1 (/.f32 (.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (pow.f32 alphay 2)))
(.f32 -1 (/.f32 (.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (pow.f32 alphay 2)))
(.f32 -1 (/.f32 (.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (pow.f32 alphay 2)))
(.f32 -1 (/.f32 (.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (pow.f32 alphay 2)))
(.f32 -1 (/.f32 (.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (pow.f32 alphay 2)))
(.f32 -1 (/.f32 (.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (pow.f32 alphay 2)))
(.f32 -1 (/.f32 (.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (pow.f32 alphay 2)))
(.f32 -1 (/.f32 (.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (pow.f32 alphay 2)))
(.f32 -1 (/.f32 (.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (pow.f32 alphay 2)))
(.f32 -1 (/.f32 (.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (pow.f32 alphay 2)))
(.f32 -1 (/.f32 (.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (pow.f32 alphay 2)))
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(+.f32 0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) u0))
(+.f32 (-.f32 0 (exp.f32 (log1p.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) u0)))) 1)
(-.f32 0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) u0))
(-.f32 (exp.f32 (log1p.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) u0))) 1)
(pow.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) u0) 1)
(pow.f32 (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) (sqrt.f32 u0)) 2)
(pow.f32 (cbrt.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) u0)) 3)
(pow.f32 (pow.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) u0) 3) 1/3)
(neg.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) u0))
(sqrt.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)))) alphay) 4) (.f32 u0 u0)))
(log.f32 (pow.f32 (exp.f32 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)))) alphay) 2)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) u0))))
(cbrt.f32 (pow.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) u0) 3))
(cbrt.f32 (.f32 (pow.f32 u0 3) (pow.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) 3)))
(cbrt.f32 (.f32 (pow.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) 3) (pow.f32 u0 3)))
(expm1.f32 (log1p.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) u0)))
(exp.f32 (log.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) u0)))
(exp.f32 (.f32 (log.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)))) alphay) 2) u0)) 1))
(log1p.f32 (expm1.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) 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 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 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay 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 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))) (/.f32 alphay alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 1/2 (PI.f32))) (cos.f32 (*.f32 1/2 (PI.f32)))))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)))) 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))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)))) 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))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)))) 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))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)))) 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))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)))) 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))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)))) 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))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)))) 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))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)))) 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))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)))) 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))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)))) 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))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)))) 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))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)))) 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))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)))) 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))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)))) 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))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)))) 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))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)))) 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))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)))) 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))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)))) 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))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)))) 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))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)))) 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))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)))) alphay) 2)
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(log.f32 (pow.f32 (exp.f32 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)))) alphay) 2)))
(.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) u0))))
(.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2))
(cbrt.f32 (pow.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) u0) 3))
(.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2))
(cbrt.f32 (.f32 (pow.f32 u0 3) (pow.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) 3)))
(.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2))
(cbrt.f32 (.f32 (pow.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) 3) (pow.f32 u0 3)))
(.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2))
(expm1.f32 (log1p.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) u0)))
(.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2))
(exp.f32 (log.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) u0)))
(.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2))
(exp.f32 (.f32 (log.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphax)))) alphay) 2) u0)) 1))
(.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2))
(log1p.f32 (expm1.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) u0)))
(.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2))

localize166.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f32 (fma.f32 2 u1 1/2) (PI.f32))
	0.4b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32))))
✓	0.5b	(pow.f32 (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2)
	12.3b	(tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))

Compiler

Compiled 243 to 165 computations (32.1% saved)

series17.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	u1	@	0	(pow.f32 (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2)
2.0ms	alphay	@	0	(pow.f32 (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2)
2.0ms	alphax	@	inf	(pow.f32 (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2)
2.0ms	alphax	@	-inf	(pow.f32 (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2)
1.0ms	alphax	@	0	(pow.f32 (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2)

rewrite140.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	74
1	434	74
2	5275	74

Stop Event

1×	node limit

Counts

2 → 165

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (pow.f32 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))) -2) (*.f32 alphax alphax)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (pow.f32 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))) -2) (*.f32 alphax alphax)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (*.f32 (/.f32 1 alphax) (/.f32 1 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))) (/.f32 1 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))) -2) (*.f32 alphax alphax)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (sqrt.f32 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) (*.f32 (/.f32 1 (sqrt.f32 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) (/.f32 1 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 1 (cbrt.f32 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) 2) (cbrt.f32 (pow.f32 (/.f32 1 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 1 (cbrt.f32 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) 2) (*.f32 (/.f32 1 (cbrt.f32 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) (/.f32 1 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (/.f32 1 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))) 4)) (pow.f32 (/.f32 1 (cbrt.f32 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))) -2) (*.f32 (/.f32 1 alphax) (/.f32 1 alphax)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) 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(/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) 2)) (/.f32 1 (cbrt.f32 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (*.f32 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 1 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (*.f32 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) (/.f32 1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (*.f32 alphax (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))) (/.f32 1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (*.f32 alphax alphax) (pow.f32 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (*.f32 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (neg.f32 alphax)) (/.f32 -1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (*.f32 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (*.f32 alphax (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 1 alphax)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 (*.f32 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 (*.f32 alphax (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 (*.f32 alphax alphax) (/.f32 1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 alphax (/.f32 1 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 (*.f32 alphax (neg.f32 alphax)) (/.f32 -1 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))) (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (pow.f32 (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))) -2) (*.f32 alphax alphax)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 (sqrt.f32 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))))) (/.f32 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) (/.f32 1 (sqrt.f32 (*.f32 alphax (hypot.f32 1 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (hypot.f32 1 (*.f32 (/.f32 alphay 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simplify325.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1568×	`associate-/l*`
1490×	`associate-/r*`
1230×	`associate-r`
1064×	`*-commutative`
910×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	776	35721
1	2435	34813

Stop Event

1×	node limit

Counts

213 → 299

Calls

Call 1

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

localize539.0ms (1.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)
✓	1.4b	(exp.f32 (log1p.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))
✓	7.6b	(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
	31.7b	(tan.f32 (*.f32 1/2 (PI.f32)))

Compiler

Compiled 341 to 223 computations (34.6% saved)

series290.0ms (1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
164.0ms	alphax	@	-inf	(exp.f32 (log1p.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))
65.0ms	alphax	@	0	(exp.f32 (log1p.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))
31.0ms	alphay	@	0	(exp.f32 (log1p.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))
16.0ms	alphax	@	inf	(exp.f32 (log1p.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))
9.0ms	alphay	@	-inf	(exp.f32 (log1p.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))

rewrite147.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1806×	`associate-/r*`
1480×	`associate-/l*`
394×	`add-sqr-sqrt`
386×	`*-un-lft-identity`
382×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	123
1	391	121
2	4787	121

Stop Event

1×	node limit

Counts

3 → 285

Calls

Call 1

Inputs

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

(exp.f32 (log1p.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))

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

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

simplify147.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1346×	`associate-/l/`
1226×	`associate-/l*`
908×	`associate-/r/`
870×	`times-frac`
788×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	754	20489
1	1880	20135

Stop Event

1×	node limit

Counts

357 → 366

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))
(exp.f32 (+.f32 (log.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (*.f32 -2 (log.f32 alphay))))
(+.f32 (exp.f32 (+.f32 (log.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (.f32 -2 (log.f32 alphay)))) (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (.f32 -2 (log.f32 alphay)))) (pow.f32 alphay 2)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphay) alphax))) 2)))
(+.f32 (exp.f32 (+.f32 (log.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (.f32 -2 (log.f32 alphay)))) (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (.f32 -2 (log.f32 alphay)))) (pow.f32 alphay 2)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphay) alphax))) 2)))
(+.f32 (exp.f32 (+.f32 (log.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (.f32 -2 (log.f32 alphay)))) (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2)) (.f32 -2 (log.f32 alphay)))) (pow.f32 alphay 2)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphay) alphax))) 2)))
1
(+.f32 1 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)))
(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 4) (pow.f32 alphay 4))) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 4) (pow.f32 alphay 4))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)))))
(+.f32 (.f32 1/6 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 6) (pow.f32 alphay 6))) (+.f32 1 (+.f32 (.f32 1/3 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 6) (pow.f32 alphay 6))) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 4) (pow.f32 alphay 4))) (+.f32 (.f32 1/2 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 4) (pow.f32 alphay 4))) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 6) (pow.f32 alphay 6))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))))))))
1
(+.f32 1 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)))
(+.f32 1 (+.f32 (.f32 1/2 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 4) (pow.f32 alphay 4))) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 4) (pow.f32 alphay 4))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)))))
(+.f32 (.f32 1/6 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 6) (pow.f32 alphay 6))) (+.f32 1 (+.f32 (.f32 1/3 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 6) (pow.f32 alphay 6))) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 4) (pow.f32 alphay 4))) (+.f32 (.f32 1/2 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 4) (pow.f32 alphay 4))) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 6) (pow.f32 alphay 6))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))))))))
(+.f32 1 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)))
(+.f32 1 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)))
(+.f32 1 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)))
(+.f32 1 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)))
(+.f32 1 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)))
(+.f32 1 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)))
(+.f32 1 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)))
(+.f32 1 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)))
(+.f32 1 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)))
(+.f32 1 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)))
(+.f32 1 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2)))
(+.f32 1 (/.f32 (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 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) (/.f32 (pow.f32 (cbrt.f32 alphay) 2) 1)) (/.f32 (cbrt.f32 alphay) (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))))
(/.f32 (/.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) (/.f32 1 (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 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) (/.f32 1 (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 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) (/.f32 (sqrt.f32 alphay) (sqrt.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))))) (/.f32 (sqrt.f32 alphay) (sqrt.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))))
(/.f32 (/.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) (/.f32 (sqrt.f32 alphay) (pow.f32 (cbrt.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) 2))) (/.f32 (sqrt.f32 alphay) (cbrt.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))))
(/.f32 (/.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) (/.f32 (pow.f32 (cbrt.f32 alphay) 2) (sqrt.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))))) (/.f32 (cbrt.f32 alphay) (sqrt.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))))
(/.f32 (/.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) (/.f32 (pow.f32 (cbrt.f32 alphay) 2) (pow.f32 (cbrt.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) 2))) (/.f32 (cbrt.f32 alphay) (cbrt.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))))
(/.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2) alphay) alphay)
(/.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2) 1) (*.f32 alphay alphay))
(/.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2) (sqrt.f32 alphay)) (*.f32 (sqrt.f32 alphay) alphay))
(/.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2) (pow.f32 (cbrt.f32 alphay) 2)) (*.f32 (cbrt.f32 alphay) alphay))
(/.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2) (*.f32 alphay (sqrt.f32 alphay))) (sqrt.f32 alphay))
(/.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2) (*.f32 (pow.f32 (cbrt.f32 alphay) 2) (pow.f32 (cbrt.f32 alphay) 2))) (pow.f32 (cbrt.f32 alphay) 2))
(/.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) 2) (*.f32 alphay (pow.f32 (cbrt.f32 alphay) 2))) (cbrt.f32 alphay))
(/.f32 (/.f32 (neg.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))) (neg.f32 alphay))
(/.f32 (/.f32 (.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)))))) (neg.f32 alphay)) (neg.f32 alphay))
(/.f32 (/.f32 (.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))))) 1) alphay)
(/.f32 (/.f32 (.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))))) (sqrt.f32 alphay)) (sqrt.f32 alphay))
(/.f32 (/.f32 (.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))))) (cbrt.f32 alphay)) (pow.f32 (cbrt.f32 alphay) 2))
(/.f32 (/.f32 (.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))))) (pow.f32 (cbrt.f32 alphay) 2)) (cbrt.f32 alphay))
(/.f32 (/.f32 (.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)))))) 1) (neg.f32 alphay))
(/.f32 (/.f32 (.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)))))) (sqrt.f32 alphay)) (neg.f32 (sqrt.f32 alphay)))
(/.f32 (/.f32 (.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)))))) (pow.f32 (cbrt.f32 alphay) 2)) (neg.f32 (cbrt.f32 alphay)))
(/.f32 (/.f32 (.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)))))) (sqrt.f32 (neg.f32 alphay))) (sqrt.f32 (neg.f32 alphay)))
(/.f32 (/.f32 (.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)))))) (.f32 (cbrt.f32 (neg.f32 alphay)) (cbrt.f32 (neg.f32 alphay)))) (cbrt.f32 (neg.f32 alphay)))
(/.f32 (/.f32 (.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)))))) -1) alphay)
(/.f32 (/.f32 (.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 (sqrt.f32 alphay))) (sqrt.f32 alphay))
(/.f32 (/.f32 (.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 (pow.f32 (cbrt.f32 alphay) 2))) (cbrt.f32 alphay))
(/.f32 (/.f32 (.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)) 1) alphay)
(/.f32 (/.f32 (.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)) (sqrt.f32 alphay)) (sqrt.f32 alphay))
(/.f32 (/.f32 (.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)) (cbrt.f32 alphay)) (pow.f32 (cbrt.f32 alphay) 2))
(/.f32 (/.f32 (.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)) (pow.f32 (cbrt.f32 alphay) 2)) (cbrt.f32 alphay))
(/.f32 (/.f32 (.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)) 1) (neg.f32 alphay))
(/.f32 (/.f32 (.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)) (sqrt.f32 alphay)) (neg.f32 (sqrt.f32 alphay)))
(/.f32 (/.f32 (.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)) (pow.f32 (cbrt.f32 alphay) 2)) (neg.f32 (cbrt.f32 alphay)))
(/.f32 (/.f32 (.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)) (sqrt.f32 (neg.f32 alphay))) (sqrt.f32 (neg.f32 alphay)))
(/.f32 (/.f32 (.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)) (.f32 (cbrt.f32 (neg.f32 alphay)) (cbrt.f32 (neg.f32 alphay)))) (cbrt.f32 (neg.f32 alphay)))
(/.f32 (/.f32 (.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)) -1) alphay)
(/.f32 (/.f32 (.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 (sqrt.f32 alphay))) (sqrt.f32 alphay))
(/.f32 (/.f32 (.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 (pow.f32 (cbrt.f32 alphay) 2))) (cbrt.f32 alphay))
(/.f32 (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) (neg.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))))) alphay) (neg.f32 alphay))
(/.f32 (/.f32 (.f32 (neg.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) (neg.f32 alphay)) alphay)
(/.f32 (/.f32 (.f32 (neg.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))) 1) (neg.f32 alphay)) (/.f32 alphay (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax))))))
(sqrt.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 4))
(log.f32 (exp.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2))))
(cbrt.f32 (pow.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))
(exp.f32 (.f32 2 (log.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay))))
(exp.f32 (.f32 (.f32 2 (log.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay))) 1))
(log1p.f32 (expm1.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2)))

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

eval2.8s (9.6%)

Compiler: Compiled 120080 to 83819 computations (30.2% saved)

prune2.0s (7.1%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	2133	5	2138
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	2134	11	2145

Error

0.1b

Counts

2145 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	0.7b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (-.f32 (+.f32 1 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) alphay) alphax))) 2) (pow.f32 alphay 2))) (-.f32 1 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphay) 2) (neg.f32 u0))))))))
✓	0.1b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) 2) (-.f32 1 u0))))))
✓	16.5b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax) 2) (-.f32 1 u0))))))
	3.4b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))))) alphax) 2) (-.f32 1 u0))))))
✓	0.6b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) 2) (-.f32 1 u0))))))
✓	0.7b	(/.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))))))
✓	9.7b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2) (neg.f32 u0))))))
	3.4b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (/.f32 1 (.f32 alphax alphax)) (-.f32 1 u0))))))
✓	2.4b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)))) alphay) 2) (/.f32 1 (.f32 alphax alphax))) (-.f32 1 u0))))))
	3.4b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) (/.f32 alphay alphax)))) alphay) 2) (/.f32 1 (*.f32 alphax alphax))) (-.f32 1 u0))))))
	10.1b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 1/2 (PI.f32))) alphax)))) alphay) 2))))))

Compiler

Compiled 377 to 303 computations (19.6% saved)

regimes158.0ms (0.5%)

Counts

17 → 1

Calls

Call 1

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

Calls

13 calls:

38.0ms	(sqrt.f32 (+.f32 1 (/.f32 (.f32 (/.f32 1 (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0))))
11.0ms	(/.f32 1 (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (.f32 alphay alphay))))
10.0ms	(/.f32 (.f32 (/.f32 1 (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0))
10.0ms	(+.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)))
10.0ms	(.f32 (.f32 2 (PI.f32)) u1)

Results

Error	Segments	Branch
0.1b	1	`u0`
0.1b	1	`u1`
0.1b	1	`alphax`
0.1b	1	`alphay`
0.1b	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)))))
0.1b	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))))
0.1b	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)))
0.1b	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))
0.1b	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))))
0.1b	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)))
0.1b	1	`(tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))`
0.1b	1	`(+.f32 (.f32 (.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))`
0.1b	1	`(.f32 (.f32 2 (PI.f32)) u1)`

Compiler

Compiled 1223 to 857 computations (29.9% saved)

regimes39.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	u0
7.0ms	alphay
7.0ms	u1
6.0ms	alphax

Results

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

Compiler

Compiled 371 to 272 computations (26.7% saved)

regimes30.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	alphay
5.0ms	u1
5.0ms	alphax
5.0ms	u0

Results

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

Compiler

Compiled 232 to 172 computations (25.9% saved)

regimes19.0ms (0.1%)

Accuracy

Total -7.4b remaining (-218.9%)

Threshold costs -7.4b (-218.9%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	alphay
4.0ms	u0
4.0ms	alphax
3.0ms	u1

Results

Error	Segments	Branch
3.4b	1	`u0`
3.4b	1	`u1`
3.4b	1	`alphax`
3.4b	1	`alphay`

Compiler

Compiled 116 to 90 computations (22.4% saved)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative`
12×	`+-commutative`
4×	`sub-neg`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	356
1	77	356
2	81	356
3	83	356
4	84	356

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 131 to 104 computations (20.6% saved)

soundness311.0ms (1.1%)

Algorithm

3×	egg-herbie

Rules

1736×	`associate-*r/`
1524×	`associate-*l/`
1494×	`associate-*r/`
1248×	`fma-def`
1198×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	275
1	70	265
2	123	249
3	226	233
4	513	233
5	1568	233
6	6795	233
0	322	16825
1	728	15921
2	3592	15909
0	214	11161
1	563	9337
2	2489	9119

Stop Event

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

Compiler

Compiled 2406 to 1580 computations (34.3% saved)

end100.0ms (0.3%)

Compiler: Compiled 119 to 88 computations (26.1% saved)

Details

analyze1.0s (3.6%)

sample8.1s (27.9%)

preprocess71.0ms (0.2%)

simplify60.0ms (0.2%)

eval9.0ms (0%)

prune3.0ms (0%)

localize491.0ms (1.7%)

series39.0ms (0.1%)

rewrite126.0ms (0.4%)

simplify208.0ms (0.7%)

eval471.0ms (1.6%)

prune83.0ms (0.3%)

localize188.0ms (0.6%)

series35.0ms (0.1%)

rewrite134.0ms (0.5%)

simplify178.0ms (0.6%)

localize274.0ms (0.9%)

series29.0ms (0.1%)

rewrite98.0ms (0.3%)

simplify111.0ms (0.4%)

eval1.2s (4%)

prune458.0ms (1.6%)

localize194.0ms (0.7%)

series20.0ms (0.1%)

rewrite170.0ms (0.6%)

simplify235.0ms (0.8%)

localize253.0ms (0.9%)

series60.0ms (0.2%)

rewrite118.0ms (0.4%)

simplify204.0ms (0.7%)

localize280.0ms (1%)

series136.0ms (0.5%)

rewrite132.0ms (0.5%)

simplify256.0ms (0.9%)

localize298.0ms (1%)

series69.0ms (0.2%)

rewrite93.0ms (0.3%)

simplify182.0ms (0.6%)

eval3.0s (10.3%)

prune1.4s (4.8%)

localize534.0ms (1.8%)

series2.0ms (0%)

rewrite106.0ms (0.4%)

simplify133.0ms (0.5%)

localize202.0ms (0.7%)

series13.0ms (0%)

rewrite122.0ms (0.4%)

simplify172.0ms (0.6%)

localize166.0ms (0.6%)

series17.0ms (0.1%)

rewrite140.0ms (0.5%)

simplify325.0ms (1.1%)

localize539.0ms (1.9%)

series290.0ms (1%)

rewrite147.0ms (0.5%)

simplify147.0ms (0.5%)

eval2.8s (9.6%)

prune2.0s (7.1%)

regimes158.0ms (0.5%)

regimes39.0ms (0.1%)

regimes30.0ms (0.1%)

regimes19.0ms (0.1%)

simplify9.0ms (0%)

soundness311.0ms (1.1%)

end100.0ms (0.3%)

Profiling