Details

analyze1.3s (5.2%)

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 (31.4%)

Results

8.1s

8256×

body

256

valid

Bogosity

preprocess77.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	1925
1	325	1855
2	637	1743
3	1667	1631
4	5149	1631
0	4	4

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 96 to 68 computations (29.2% saved)

simplify64.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

Inputs

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

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

eval8.0ms (0%)

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

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.2b

Counts

7 → 1

Alt Table

Click to see full alt table

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

Status

Error

Program

▶

0.2b

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

Compiler

Compiled 81 to 57 computations (29.6% saved)

localize379.0ms (1.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(fma.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphay) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphay) (.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2)))))) alphax)))
✓	0.5b	(.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2)))))) alphax))
✓	12.2b	(tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))
✓	12.5b	(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)

series31.0ms (0.1%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
5.0ms	u1	@	inf	(fma.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphay) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphay) (.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2)))))) alphax)))
2.0ms	alphax	@	0	(.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2)))))) alphax))
2.0ms	u1	@	0	(.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2)))))) alphax))
2.0ms	u1	@	0	(tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))
1.0ms	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)))

rewrite119.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 107

Calls

Call 1

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

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

simplify152.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

227 → 148

Calls

Call 1

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

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

eval540.0ms (2.1%)

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

prune75.0ms (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

0.2b

Counts

304 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2) (-.f32 1 u0))))))
▶	0.7b	(/.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

▶

0.2b

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

▶

0.7b

(/.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)

localize244.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.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)
✓	12.2b	(tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))

Compiler

Compiled 226 to 148 computations (34.5% saved)

series34.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
12.0ms	u1	@	-inf	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))
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)
2.0ms	alphax	@	0	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))
1.0ms	u1	@	0	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))

rewrite140.0ms (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 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.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 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphay alphax)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 3) (pow.f32 (/.f32 alphay alphax) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (/.f32 alphay alphax) 3) (pow.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.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))))))))

simplify220.0ms (0.9%)

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))

localize377.0ms (1.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))))
✓	0.5b	(pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphax)) 2)
	12.2b	(tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))
✓	12.5b	(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)

series24.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite99.0ms (0.4%)

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 (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))))))

simplify117.0ms (0.5%)

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))

eval1.1s (4.2%)

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

prune464.0ms (1.8%)

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

0.2b

Counts

993 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) 2) (-.f32 1 u0))))))
✓	0.7b	(/.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))))))
▶	17.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) 2) (-.f32 1 u0))))))
▶	0.8b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))) alphay) 2) (-.f32 1 u0))))))
▶	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 174 to 139 computations (20.1% saved)

localize177.0ms (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)
✓	12.2b	(tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))
✓	12.5b	(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)

series7.0ms (0%)

Counts

4 → 120

Calls

30 calls:

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

rewrite140.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	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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simplify255.0ms (1%)

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))

localize196.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))) alphay) 2) (-.f32 1 u0))
✓	0.5b	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))) alphay) 2)
✓	11.2b	(.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)

series20.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

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

rewrite124.0ms (0.5%)

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))))))))

simplify179.0ms (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 (.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))

localize160.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) 2) (-.f32 1 u0))))))
✓	0.4b	(.f32 (PI.f32) (.f32 2 u1))
✓	0.4b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
✓	0.6b	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2)

Compiler

Compiled 212 to 134 computations (36.8% saved)

series66.0ms (0.3%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
16.0ms	alphay	@	inf	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2)
7.0ms	u0	@	-inf	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) 2) (-.f32 1 u0))))))
3.0ms	u1	@	-inf	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2)
3.0ms	u0	@	inf	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) 2) (-.f32 1 u0))))))
3.0ms	u1	@	0	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) 2) (-.f32 1 u0))))))

rewrite123.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 108

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) (.f32 (/.f32 1 alphay) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay)) (.f32 (sqrt.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay)) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay)) 2) (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay)) 2) (.f32 (cbrt.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay)) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) 4)) (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) 2) (.f32 (/.f32 1 alphay) (/.f32 1 alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) 2) (pow.f32 (/.f32 1 alphay) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) (sqrt.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay))) (sqrt.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1))))))) (/.f32 1 alphay))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) (pow.f32 (cbrt.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay)) 2)) (cbrt.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) (.f32 alphay (/.f32 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(/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) 2)) (-.f32 1 u0))) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) 2)) (-.f32 1 u0))) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) 2)) (-.f32 1 u0))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (neg.f32 (.f32 1/2 (log1p.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) 2)) (-.f32 1 u0))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 1/2 (log1p.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) 2)) (-.f32 1 u0)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (neg.f32 (.f32 1/2 (log1p.f32 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) 2)) (-.f32 1 u0))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) 2)) (-.f32 1 u0))) -1/2)))))))

simplify212.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

240 → 230

Calls

Call 1

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

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

localize289.0ms (1.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 436 to 285 computations (34.6% saved)

series62.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
20.0ms	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)
9.0ms	alphay	@	-inf	(pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) 2)
9.0ms	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)
9.0ms	alphay	@	inf	(pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) 2)
3.0ms	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)

rewrite95.0ms (0.4%)

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)))))))

simplify239.0ms (0.9%)

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

eval2.1s (8.3%)

Compiler: Compiled 91597 to 65600 computations (28.4% saved)

prune850.0ms (3.3%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	1278	8	1286
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	1279	12	1291

Error

0.2b

Counts

1291 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	17.2b	(pow.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32))))))) alphay) 2))) 1/4) -2)
✓	0.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) 2) (-.f32 1 u0))))))
	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))))))
▶	17.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (/.f32 2 (/.f32 alphax (.f32 u1 (*.f32 (PI.f32) alphay)))))) alphay) 2) (-.f32 1 u0))))))
✓	0.7b	(/.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))))))
✓	17.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) 2) (-.f32 1 u0))))))
✓	0.8b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))) alphay) 2) (-.f32 1 u0))))))
▶	2.1b	(/.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))))))
▶	19.6b	(+.f32 1 (.f32 -1/2 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (.f32 (PI.f32) 2) u1))))) alphay) 2))))
▶	19.6b	(+.f32 1 (.f32 -1/2 (/.f32 u0 (.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 (PI.f32) 2) u1))))) alphay) 2)))))
▶	25.6b	(.f32 (sqrt.f32 (/.f32 (-.f32 1 u0) u0)) (/.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) alphay))
	2.7b	1

Compiler

Compiled 577 to 462 computations (19.9% saved)

localize321.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(*.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)
	12.2b	(tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2)))

Compiler

Compiled 287 to 180 computations (37.3% saved)

series3.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite164.0ms (0.6%)

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	86
1	414	86
2	5128	86

Stop Event

1×	node limit

Counts

2 → 250

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

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

simplify242.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1324×	`associate-/l/`
1322×	`associate-/l*`
922×	`times-frac`
878×	`associate-/r/`
838×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	729	21218
1	1832	21116

Stop Event

1×	node limit

Counts

322 → 331

Calls

Call 1

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

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

localize125.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 115 to 65 computations (43.5% saved)

series18.0ms (0.1%)

Counts

4 → 88

Calls

30 calls:

Time	Variable		Point	Expression
7.0ms	u1	@	inf	(.f32 (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))) alphay)
1.0ms	u0	@	0	(.f32 (sqrt.f32 (/.f32 (-.f32 1 u0) u0)) (/.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) alphay))
1.0ms	alphay	@	-inf	(.f32 (sqrt.f32 (/.f32 (-.f32 1 u0) u0)) (/.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) alphay))
1.0ms	u0	@	inf	(.f32 (sqrt.f32 (/.f32 (-.f32 1 u0) u0)) (/.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) alphay))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (/.f32 (-.f32 1 u0) u0)) (/.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (tan.f32 (.f32 2 (.f32 u1 (PI.f32)))) alphay) alphax))) alphay))

rewrite171.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 123

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (+.f32 (/.f32 1 u0) -1)) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 alphay (.f32 (sqrt.f32 (+.f32 (/.f32 1 u0) -1)) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (+.f32 (/.f32 1 u0) -1)) (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (-.f32 1 u0)) (.f32 (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1))))))) (sqrt.f32 u0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sqrt.f32 (+.f32 (/.f32 1 u0) -1)) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1))))))) alphay)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sqrt.f32 (+.f32 (/.f32 1 u0) -1)) (neg.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))))) (neg.f32 alphay))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) (sqrt.f32 (-.f32 1 u0))) (sqrt.f32 u0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sqrt.f32 (-.f32 1 u0)) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay)) (sqrt.f32 u0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (neg.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1))))))) (sqrt.f32 (+.f32 (/.f32 1 u0) -1))) (neg.f32 alphay))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sqrt.f32 (-.f32 1 u0)) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1))))))) (.f32 (sqrt.f32 u0) alphay))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 (sqrt.f32 (+.f32 (/.f32 1 u0) -1)) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1))))))) 1) alphay)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 (sqrt.f32 (+.f32 (/.f32 1 u0) -1)) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1))))))) (sqrt.f32 alphay)) (sqrt.f32 alphay))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 (sqrt.f32 (+.f32 (/.f32 1 u0) -1)) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1))))))) (pow.f32 (cbrt.f32 alphay) 2)) (cbrt.f32 alphay))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sqrt.f32 (-.f32 1 u0)) 1) (.f32 (sqrt.f32 u0) (/.f32 alphay (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sqrt.f32 (-.f32 1 u0)) (neg.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))))) (.f32 (sqrt.f32 u0) (neg.f32 alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) (sqrt.f32 (-.f32 1 u0))) (.f32 alphay (sqrt.f32 u0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (neg.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1))))))) (sqrt.f32 (-.f32 1 u0))) (.f32 (neg.f32 alphay) (sqrt.f32 u0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (.f32 (sqrt.f32 (+.f32 (/.f32 1 u0) -1)) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))))) (neg.f32 alphay))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (sqrt.f32 (+.f32 (/.f32 1 u0) -1)) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (+.f32 (/.f32 1 u0) -1)) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (+.f32 (/.f32 1 u0) -1)) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (sqrt.f32 (+.f32 (/.f32 1 u0) -1)) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (+.f32 (/.f32 1 u0) -1) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 (+.f32 (/.f32 1 u0) -1))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (+.f32 (/.f32 1 u0) -1)) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (+.f32 (/.f32 1 u0) -1)) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u0) -1) 3/2) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) 3) (pow.f32 (+.f32 (/.f32 1 u0) -1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (+.f32 (/.f32 1 u0) -1)) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (sqrt.f32 (+.f32 (/.f32 1 u0) -1)) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (+.f32 (/.f32 1 u0) -1)) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (+.f32 (/.f32 1 u0) -1)) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 u1 (PI.f32)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u1 (PI.f32)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 u1 (PI.f32))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 u1 (PI.f32))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u1 (PI.f32)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 u1 (PI.f32)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (PI.f32)) u1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 u1 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 u1 (PI.f32)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 u1 3) (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 u1 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 u1 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 u1 (PI.f32))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 u1 (PI.f32))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) (.f32 alphay (/.f32 1 alphax)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) (.f32 1 (/.f32 alphay alphax)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 alphay (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) (/.f32 1 alphax)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) alphay) (/.f32 1 alphax))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (.f32 (tan.f32 (.f32 (PI.f32) (.f32 2 u1))) alphay)) (.f32 (sqrt.f32 (.f32 (tan.f32 (.f32 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simplify123.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1242×	`distribute-lft-in`
1068×	`associate-/l/`
1046×	`associate-/r/`
610×	`associate-r`
470×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	447	10901
1	1173	10663
2	4584	10663

Stop Event

1×	node limit

Counts

211 → 212

Calls

Call 1

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

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

localize185.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 (PI.f32) 2) u1))))) alphay)
✓	0.4b	(.f32 (.f32 (PI.f32) 2) u1)
✓	0.4b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 (PI.f32) 2) u1)))
✓	0.6b	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 (PI.f32) 2) u1))))) alphay) 2)

Compiler

Compiled 152 to 93 computations (38.8% saved)

series4.0ms (0%)

Counts

4 → 120

Calls

30 calls:

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

rewrite139.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1818×	`associate-/r*`
1500×	`associate-/l*`
384×	`add-sqr-sqrt`
380×	`*-un-lft-identity`
378×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	142
1	375	142
2	4757	142

Stop Event

1×	node limit

Counts

4 → 303

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) (.f32 (/.f32 1 alphay) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 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simplify274.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1440×	`associate-/l/`
1346×	`times-frac`
1064×	`associate-/r*`
952×	`associate-/r/`
840×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	825	26985
1	2065	26087

Stop Event

1×	node limit

Counts

423 → 496

Calls

Call 1

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

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

localize205.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (.f32 (PI.f32) 2) u1))))) alphay) 2))
	0.4b	(.f32 (.f32 (PI.f32) 2) u1)
	0.4b	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 (PI.f32) 2) u1)))
	0.6b	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 (PI.f32) 2) u1))))) alphay) 2)

Compiler

Compiled 187 to 117 computations (37.4% saved)

series8.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	u0	@	0	(.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (.f32 (PI.f32) 2) u1))))) alphay) 2))
1.0ms	alphay	@	0	(.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (.f32 (PI.f32) 2) u1))))) alphay) 2))
1.0ms	u0	@	inf	(.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (.f32 (PI.f32) 2) u1))))) alphay) 2))
0.0ms	u0	@	-inf	(.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (.f32 (PI.f32) 2) u1))))) alphay) 2))
0.0ms	u1	@	inf	(.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (.f32 (PI.f32) 2) u1))))) alphay) 2))

rewrite86.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1642×	`associate-/l*`
468×	`add-sqr-sqrt`
460×	`*-un-lft-identity`
458×	`pow1`
428×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	63
1	458	63
2	5830	63

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2) (*.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2) (neg.f32 u0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2) (*.f32 (neg.f32 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2) (neg.f32 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (neg.f32 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2))) (-.f32 1 (*.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2) (neg.f32 u0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2))) (-.f32 1 (*.f32 (neg.f32 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2) (/.f32 1 (-.f32 1 u0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (*.f32 u0 u0)) (/.f32 (+.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (pow.f32 u0 3)) (/.f32 (+.f32 1 (fma.f32 u0 u0 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (*.f32 2 u1)))))) alphay) 2) (-.f32 1 (*.f32 u0 u0))) (+.f32 1 u0))))) (#(struct:change #<rule 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simplify236.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1274×	`associate-+l+`
1218×	`associate-r`
1098×	`associate-+r+`
1026×	`associate-l`
552×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	9156
1	282	8622
2	953	4908
3	5276	4908

Stop Event

1×	node limit

Counts

76 → 51

Calls

Call 1

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

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

localize154.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 200 to 97 computations (51.5% saved)

series124.0ms (0.5%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
44.0ms	u1	@	-inf	(pow.f32 (/.f32 (sin.f32 (atan.f32 (/.f32 2 (/.f32 alphax (.f32 u1 (.f32 (PI.f32) alphay)))))) alphay) 2)
35.0ms	u0	@	0	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (/.f32 2 (/.f32 alphax (.f32 u1 (*.f32 (PI.f32) alphay)))))) alphay) 2) (-.f32 1 u0))))))
5.0ms	alphay	@	inf	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (/.f32 2 (/.f32 alphax (.f32 u1 (*.f32 (PI.f32) alphay)))))) alphay) 2) (-.f32 1 u0))))))
5.0ms	u0	@	-inf	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (/.f32 2 (/.f32 alphax (.f32 u1 (*.f32 (PI.f32) alphay)))))) alphay) 2) (-.f32 1 u0))))))
4.0ms	u0	@	inf	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (/.f32 2 (/.f32 alphax (.f32 u1 (*.f32 (PI.f32) alphay)))))) alphay) 2) (-.f32 1 u0))))))

rewrite159.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	158
1	546	154
2	7558	154

Stop Event

1×	node limit

Counts

4 → 118

Calls

Call 1

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

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

simplify311.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

882×	`associate-r`
838×	`associate-+r+`
772×	`times-frac`
748×	`associate-/r*`
734×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	549	23522
1	1659	20930
2	7719	20930

Stop Event

1×	node limit

Counts

250 → 230

Calls

Call 1

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

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

eval2.3s (8.8%)

Compiler: Compiled 84101 to 54636 computations (35% saved)

prune749.0ms (2.9%)

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	1820	6	1826
Fresh	0	3	3
Picked	0	1	1
Done	1	7	8
Total	1821	17	1838

Error

0.2b

Counts

1838 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	17.2b	(pow.f32 (pow.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32))))))) alphay) 2))) 1/4) -2)
✓	0.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (hypot.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2)))))) alphay) (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 2 u1 1/2) (PI.f32)))))) alphax)) 2) (-.f32 1 u0))))))
	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))))))
✓	17.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (/.f32 2 (/.f32 alphax (.f32 u1 (*.f32 (PI.f32) alphay)))))) alphay) 2) (-.f32 1 u0))))))
✓	0.7b	(/.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))))))
✓	17.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (.f32 2 u1)))))) alphay) 2) (-.f32 1 u0))))))
✓	0.8b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 1/2 (PI.f32)))))) alphay) 2) (-.f32 1 u0))))))
✓	2.1b	(/.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))))))
	4.1b	(/.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))))))
	19.5b	(+.f32 1 (.f32 -1/2 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (.f32 u1 (.f32 2 (PI.f32))) alphay) alphax))) alphay) 2))))
✓	19.6b	(+.f32 1 (.f32 -1/2 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (.f32 (PI.f32) 2) u1))))) alphay) 2))))
	18.1b	(+.f32 1 (.f32 -1/2 (/.f32 u0 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 u1 (.f32 2 (PI.f32)))) (log.f32 (exp.f32 (/.f32 alphay alphax)))))) alphay) 2))))
	19.6b	(+.f32 1 (.f32 -1/2 (/.f32 u0 (.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (.f32 u1 (*.f32 2 (PI.f32))) alphay) alphax))) alphay) 2)))))
✓	19.6b	(+.f32 1 (.f32 -1/2 (/.f32 u0 (.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 (PI.f32) 2) u1))))) alphay) 2)))))
	18.1b	(+.f32 1 (.f32 -1/2 (/.f32 u0 (.f32 (-.f32 1 u0) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 u1 (*.f32 2 (PI.f32)))) (log.f32 (exp.f32 (/.f32 alphay alphax)))))) alphay) 2)))))
	25.5b	(.f32 (sqrt.f32 (+.f32 (/.f32 1 u0) -1)) (/.f32 (sin.f32 (atan.f32 (.f32 2 (.f32 (.f32 alphay (PI.f32)) (/.f32 u1 alphax))))) alphay))
	2.7b	1

Compiler

Compiled 512 to 411 computations (19.7% saved)

regimes148.0ms (0.6%)

Counts

22 → 1

Calls

Call 1

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

13.0ms	(/.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))
13.0ms	(+.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)))
12.0ms	(/.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))))
12.0ms	u0
12.0ms	alphay

Results

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

Compiler

Compiled 1280 to 890 computations (30.5% saved)

regimes49.0ms (0.2%)

Counts

18 → 1

Calls

Call 1

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

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:

9.0ms	u1
9.0ms	u0
9.0ms	alphay
9.0ms	alphax

Results

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

Compiler

Compiled 471 to 335 computations (28.9% saved)

regimes42.0ms (0.2%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 381 to 273 computations (28.3% saved)

regimes27.0ms (0.1%)

Accuracy

Total -25.3b remaining (-933%)

Threshold costs -25.3b (-933%)

Counts

8 → 1

Calls

Call 1

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

Outputs
1

Calls

4 calls:

6.0ms	alphax
6.0ms	u0
5.0ms	u1
5.0ms	alphay

Results

Error	Segments	Branch
2.7b	1	`u0`
2.7b	1	`u1`
2.7b	1	`alphax`
2.7b	1	`alphay`

Compiler

Compiled 186 to 136 computations (26.9% saved)

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative`
10×	`+-commutative`
4×	`sub-neg`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	310
1	68	310
2	72	310
3	74	310
4	75	310

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))))))
1

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))))))
1

Compiler

Compiled 116 to 93 computations (19.8% saved)

soundness309.0ms (1.2%)

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 330 to 236 computations (28.5% saved)

end98.0ms (0.4%)

Compiler: Compiled 104 to 77 computations (26% saved)

Details

analyze1.3s (5.2%)

sample8.1s (31.4%)

preprocess77.0ms (0.3%)

simplify64.0ms (0.2%)

eval8.0ms (0%)

prune2.0ms (0%)

localize379.0ms (1.5%)

series31.0ms (0.1%)

rewrite119.0ms (0.5%)

simplify152.0ms (0.6%)

eval540.0ms (2.1%)

prune75.0ms (0.3%)

localize244.0ms (0.9%)

series34.0ms (0.1%)

rewrite140.0ms (0.5%)

simplify220.0ms (0.9%)

localize377.0ms (1.5%)

series24.0ms (0.1%)

rewrite99.0ms (0.4%)

simplify117.0ms (0.5%)

eval1.1s (4.2%)

prune464.0ms (1.8%)

localize177.0ms (0.7%)

series7.0ms (0%)

rewrite140.0ms (0.5%)

simplify255.0ms (1%)

localize196.0ms (0.8%)

series20.0ms (0.1%)

rewrite124.0ms (0.5%)

simplify179.0ms (0.7%)

localize160.0ms (0.6%)

series66.0ms (0.3%)

rewrite123.0ms (0.5%)

simplify212.0ms (0.8%)

localize289.0ms (1.1%)

series62.0ms (0.2%)

rewrite95.0ms (0.4%)

simplify239.0ms (0.9%)

eval2.1s (8.3%)

prune850.0ms (3.3%)

localize321.0ms (1.2%)

series3.0ms (0%)

rewrite164.0ms (0.6%)

simplify242.0ms (0.9%)

localize125.0ms (0.5%)

series18.0ms (0.1%)

rewrite171.0ms (0.7%)

simplify123.0ms (0.5%)

localize185.0ms (0.7%)

series4.0ms (0%)

rewrite139.0ms (0.5%)

simplify274.0ms (1.1%)

localize205.0ms (0.8%)

series8.0ms (0%)

rewrite86.0ms (0.3%)

simplify236.0ms (0.9%)

localize154.0ms (0.6%)

series124.0ms (0.5%)

rewrite159.0ms (0.6%)

simplify311.0ms (1.2%)

eval2.3s (8.8%)

prune749.0ms (2.9%)

regimes148.0ms (0.6%)

regimes49.0ms (0.2%)

regimes42.0ms (0.2%)

regimes27.0ms (0.1%)

simplify10.0ms (0%)

soundness309.0ms (1.2%)

end98.0ms (0.4%)

Profiling