Details

analyze1.3s (5%)

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)

sample8.7s (32.5%)

Results

8.6s

8256×

body

256

valid

Bogosity

preprocess119.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

1288×	`distribute-lft-in`
1260×	`distribute-rgt-in`
1200×	`fma-def`
704×	`associate-/l*`
700×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	1925
1	325	1855
2	648	1743
3	1777	1631
4	4226	1631
5	7742	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 (.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 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 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (.f32 alphay alphay))))))))
(/.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))))))
(/.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 1 (+.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 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u0 (.f32 (PI.f32) 1/2)))))) (/.f32 (.f32 alphay alphay) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u0 (.f32 (PI.f32) 1/2)))))))))) (/.f32 (-.f32 1 u1) 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 u1 (.f32 (fma.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u0))))))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u0))))))) alphax) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u0))))))) (/.f32 (.f32 alphay alphay) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u0)))))))))) (-.f32 1 u1))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u0 1/2)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u0 1/2)))))) (.f32 alphay alphay)) (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u0 1/2)))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u0 1/2))))))) (*.f32 alphax alphax)))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u1 (.f32 (fma.f32 (/.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u0 1/2))) alphax)))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u0 1/2))) alphax)))) alphax) (.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u0 1/2))) alphax)))) (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u0 1/2))) alphax)))) (*.f32 alphay alphay)))) (-.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 1 (+.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)))) (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u1 (.f32 (PI.f32) 1/2))) (/.f32 alphay u0))))) (.f32 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 (-.f32 1 alphax) 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 (.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 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u1 (.f32 (PI.f32) 1/2))) (/.f32 alphay u0)))) (.f32 u0 u0)) (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u1 (*.f32 (PI.f32) 1/2))) (/.f32 alphay u0)))))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 alphax (fma.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))) (/.f32 alphay u0)))) (.f32 u0 u0)) (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))) (/.f32 alphay 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 (/.f32 alphax (-.f32 1 alphax)) (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 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) u0)))) (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) u0)))) (*.f32 alphay alphay))))))))
(/.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 1 (+.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)))) (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u1 (.f32 (PI.f32) 1/2))) (/.f32 u0 alphax))))) (.f32 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 (-.f32 1 alphay) 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 (.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 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u1 (.f32 (PI.f32) 1/2))) (/.f32 u0 alphax)))) (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u1 (.f32 (PI.f32) 1/2))) (/.f32 u0 alphax))))) (*.f32 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 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))) (/.f32 u0 alphax)))) (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))) (/.f32 u0 alphax)))) (*.f32 alphax alphax)))) (-.f32 1 alphay))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 alphay (-.f32 1 alphay)) (fma.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 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 u0 alphax)))) (/.f32 (.f32 alphax alphax) (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 u0 alphax)))))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 alphay (.f32 (fma.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 u0 alphax)))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 u0 alphax)))) alphax) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 u0 alphax)))) u0) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 u0 alphax)))) 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 (/.f32 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 u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 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 u0)))))
(/.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 (.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 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 u1 alphax) (tan.f32 (fma.f32 alphay (.f32 2 (PI.f32)) (.f32 (PI.f32) 1/2)))))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 u1 alphax) (tan.f32 (fma.f32 alphay (.f32 2 (PI.f32)) (.f32 (PI.f32) 1/2)))))) alphax))))))))
(/.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 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 u1 alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 alphay 2))))))) (/.f32 alphax (cos.f32 (atan.f32 (.f32 (/.f32 u1 alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (*.f32 alphay 2))))))))) alphax)))))))
(/.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 (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 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u1 (.f32 (PI.f32) 1/2))) (/.f32 alphax alphay)))) (.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 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 alphax (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphay)))) (/.f32 (cos.f32 (atan.f32 (.f32 alphax (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphay)))) (.f32 alphay alphay)) (.f32 (sin.f32 (atan.f32 (.f32 alphax (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphay)))) (/.f32 (sin.f32 (atan.f32 (.f32 alphax (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphay)))) (.f32 alphax alphax)))))))))

Compiler

Compiled 96 to 68 computations (29.2% saved)

simplify104.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1818×	`div-sub`
1656×	`fma-def`
1202×	`times-frac`
1000×	`associate-/l*`
792×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	275
1	70	265
2	125	249
3	238	233
4	496	233
5	1723	233
6	7250	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 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (PI.f32) 1/2 (.f32 (.f32 2 (PI.f32)) u1)))))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (PI.f32) 1/2 (.f32 (.f32 2 (PI.f32)) u1)))))) alphax) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (PI.f32) 1/2 (.f32 (.f32 2 (PI.f32)) u1)))))) (.f32 alphay alphay)) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (PI.f32) 1/2 (.f32 (*.f32 2 (PI.f32)) u1)))))))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (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 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (*.f32 alphay 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))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 u0 (-.f32 1 u0)) (fma.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (/.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (.f32 alphax alphax)) (.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) alphax)))) (*.f32 alphay alphay))))))))

eval7.0ms (0%)

Compiler: Compiled 480 to 312 computations (35% 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

Accurracy

99.4%

Counts

7 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (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 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (*.f32 alphay alphay)))) (-.f32 1 u0))))))

Status

Accuracy

Program

▶

99.4%

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

Compiler

Compiled 81 to 57 computations (29.6% saved)

localize768.0ms (2.9%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	98.9%	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))))
✓	98.7%	(.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))
✓	63.0%	(tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))
✓	62.3%	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))))))

Compiler

Compiled 598 to 377 computations (37% saved)

series60.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
41.0ms	u1	@	inf	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))))
4.0ms	alphay	@	0	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))))
2.0ms	u1	@	0	(tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))
2.0ms	alphax	@	0	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))))
1.0ms	u1	@	0	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))))

rewrite102.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1876×	`log-prod`
802×	`prod-diff`
708×	`expm1-udef`
706×	`log1p-udef`
470×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	112
1	385	112
2	5010	112

Stop Event

1×	node limit

Counts

4 → 147

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

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

simplify192.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

602×	`log-prod`
542×	`associate-r`
470×	`associate-l`
398×	`associate-+r+`
382×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	463	11089
1	1072	10807
2	3917	10493

Stop Event

1×	node limit

Counts

243 → 217

Calls

Call 1

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

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

eval1.6s (6%)

Compiler: Compiled 73476 to 48449 computations (34.1% saved)

prune329.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	791	3	794
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	791	4	795

Accurracy

99.4%

Counts

795 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (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 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (*.f32 alphay alphay)))) (-.f32 1 u0))))))
▶	98.3%	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (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 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))) (.f32 alphay alphay)))) (-.f32 1 u0))))))
▶	97.1%	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (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 2 (.f32 u1 (PI.f32))))))) alphax) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (*.f32 alphay alphay)))) (-.f32 1 u0))))))
▶	98.1%	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (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 1/2 (PI.f32)))))) alphax) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (.f32 alphay alphay)))) (-.f32 1 u0))))))

Compiler

Compiled 314 to 220 computations (29.9% saved)

localize456.0ms (1.7%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	63.0%	(tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))
	62.3%	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))))))
✓	7.2%	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))))
✓	1.0%	(tan.f32 (*.f32 1/2 (PI.f32)))

Compiler

Compiled 620 to 386 computations (37.7% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite80.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1416×	`log-prod`
856×	`pow-prod-down`
700×	`pow-prod-up`
616×	`pow-exp`
536×	`expm1-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	46
1	286	46
2	3547	46

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

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

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

simplify74.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1194×	`associate-*r/`
992×	`associate-r`
930×	`associate-l`
644×	`log-prod`
532×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	163	2849
1	292	2759
2	830	2679
3	4916	2679

Stop Event

1×	node limit

Counts

89 → 73

Calls

Call 1

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

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

localize421.0ms (1.6%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	98.8%	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))))
	98.7%	(.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))
	63.0%	(tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))
	62.3%	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))))))

Compiler

Compiled 647 to 387 computations (40.2% saved)

series15.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	alphay	@	0	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))))
2.0ms	u1	@	0	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))))
1.0ms	alphax	@	0	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))))
1.0ms	u1	@	inf	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))))
1.0ms	u1	@	-inf	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))))

rewrite72.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1524×	`log-prod`
992×	`pow-prod-down`
710×	`pow-prod-up`
620×	`pow-exp`
548×	`expm1-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	291	31
2	3712	31

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

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

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

simplify69.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1444×	`associate-/l*`
970×	`associate-/r*`
692×	`fma-def`
670×	`*-commutative`
598×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	209	4408
1	562	4318
2	1935	4230

Stop Event

1×	node limit

Counts

84 → 76

Calls

Call 1

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

Outputs
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 (/.f32 alphay (cos.f32 (.f32 (PI.f32) (.f32 u1 2)))) (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 (/.f32 alphay (cos.f32 (.f32 (PI.f32) (.f32 u1 2)))) (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 (/.f32 alphay (cos.f32 (.f32 (PI.f32) (.f32 u1 2)))) (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 (/.f32 alphay (cos.f32 (.f32 (PI.f32) (.f32 u1 2)))) (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 (/.f32 alphay (cos.f32 (.f32 (PI.f32) (.f32 u1 2)))) (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 (/.f32 alphay (cos.f32 (.f32 (PI.f32) (.f32 u1 2)))) (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 (/.f32 alphay (cos.f32 (.f32 (PI.f32) (.f32 u1 2)))) (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 (/.f32 alphay (cos.f32 (.f32 (PI.f32) (.f32 u1 2)))) (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 (/.f32 alphay (cos.f32 (.f32 (PI.f32) (.f32 u1 2)))) (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 (/.f32 alphay (cos.f32 (.f32 (PI.f32) (.f32 u1 2)))) (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 (/.f32 alphay (cos.f32 (.f32 (PI.f32) (.f32 u1 2)))) (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 (/.f32 alphay (cos.f32 (.f32 (PI.f32) (.f32 u1 2)))) (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 (/.f32 alphay (cos.f32 (.f32 (PI.f32) (.f32 u1 2)))) (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 (/.f32 alphay (cos.f32 (.f32 (PI.f32) (.f32 u1 2)))) (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 (/.f32 alphay (cos.f32 (.f32 (PI.f32) (.f32 u1 2)))) (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 (/.f32 alphay (cos.f32 (.f32 (PI.f32) (.f32 u1 2)))) (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 (/.f32 alphay (cos.f32 (.f32 (PI.f32) (.f32 u1 2)))) (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 (/.f32 alphay (cos.f32 (.f32 (PI.f32) (.f32 u1 2)))) (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 (/.f32 alphay (cos.f32 (.f32 (PI.f32) (.f32 u1 2)))) (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 (/.f32 alphay (cos.f32 (.f32 (PI.f32) (.f32 u1 2)))) (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 (/.f32 alphay (cos.f32 (.f32 (PI.f32) (.f32 u1 2)))) (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 (/.f32 alphay (cos.f32 (.f32 (PI.f32) (.f32 u1 2)))) (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 (/.f32 alphay (cos.f32 (.f32 (PI.f32) (.f32 u1 2)))) (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))))
(/.f32 (.f32 alphay (sin.f32 (.f32 2 (.f32 (PI.f32) u1)))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u1))) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 (/.f32 alphay (cos.f32 (.f32 (PI.f32) (.f32 u1 2)))) (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))))
(.f32 2 (/.f32 (.f32 alphay (*.f32 u1 (PI.f32))) alphax))
(.f32 2 (/.f32 alphay (/.f32 alphax (.f32 (PI.f32) u1))))
(/.f32 alphay (/.f32 (/.f32 (/.f32 alphax u1) (PI.f32)) 2))
(+.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 alphay (/.f32 alphax (.f32 (PI.f32) u1)))) (/.f32 (.f32 (pow.f32 (PI.f32) 3) 8/3) (/.f32 alphax (.f32 alphay (pow.f32 u1 3)))))
(fma.f32 2 (/.f32 alphay (/.f32 alphax (.f32 (PI.f32) u1))) (.f32 (/.f32 alphay alphax) (.f32 (pow.f32 (PI.f32) 3) (.f32 8/3 (pow.f32 u1 3)))))
(fma.f32 2 (.f32 (.f32 (PI.f32) u1) (/.f32 alphay alphax)) (.f32 (.f32 alphay (pow.f32 u1 3)) (/.f32 (pow.f32 (PI.f32) 3) (/.f32 alphax 8/3))))
(+.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)))
(fma.f32 2 (/.f32 alphay (/.f32 alphax (.f32 (PI.f32) u1))) (+.f32 (/.f32 (.f32 alphay (.f32 (-.f32 (.f32 4/15 (pow.f32 (PI.f32) 5)) (fma.f32 4/3 (pow.f32 (PI.f32) 5) (.f32 -2 (.f32 (.f32 (pow.f32 (PI.f32) 3) 8/3) (pow.f32 (PI.f32) 2))))) (pow.f32 u1 5))) alphax) (/.f32 alphay (/.f32 alphax (.f32 (*.f32 (pow.f32 (PI.f32) 3) 8/3) (pow.f32 u1 3))))))
(+.f32 (.f32 (/.f32 alphay alphax) (.f32 (+.f32 (.f32 (pow.f32 (PI.f32) 5) -16/15) (.f32 2 (.f32 (pow.f32 (PI.f32) 3) (.f32 8/3 (pow.f32 (PI.f32) 2))))) (pow.f32 u1 5))) (fma.f32 2 (/.f32 alphay (/.f32 alphax (.f32 (PI.f32) u1))) (.f32 (/.f32 alphay alphax) (.f32 (pow.f32 (PI.f32) 3) (.f32 8/3 (pow.f32 u1 3))))))
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(/.f32 (.f32 (sin.f32 (.f32 (.f32 2 (PI.f32)) u1)) alphay) (.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u1)) alphax))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 (/.f32 alphay (cos.f32 (.f32 (PI.f32) (.f32 u1 2)))) (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 2 (PI.f32)) u1)) 1) (.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u1)) (/.f32 alphax alphay)))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 (/.f32 alphay (cos.f32 (.f32 (PI.f32) (.f32 u1 2)))) (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 2 (PI.f32)) u1)) (neg.f32 alphay)) (.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u1)) (neg.f32 alphax)))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 (/.f32 alphay (cos.f32 (.f32 (PI.f32) (.f32 u1 2)))) (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))))
(/.f32 (neg.f32 (.f32 alphay (tan.f32 (.f32 (*.f32 2 (PI.f32)) u1)))) (neg.f32 alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
(/.f32 (.f32 (/.f32 alphay alphax) (.f32 2 (tan.f32 (.f32 u1 (PI.f32))))) (-.f32 1 (pow.f32 (tan.f32 (.f32 u1 (PI.f32))) 2)))
(.f32 (/.f32 alphay alphax) (/.f32 (.f32 2 (tan.f32 (.f32 (PI.f32) u1))) (-.f32 1 (pow.f32 (tan.f32 (.f32 (PI.f32) u1)) 2))))
(.f32 (/.f32 2 (-.f32 1 (pow.f32 (tan.f32 (.f32 (PI.f32) u1)) 2))) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) u1))))
(.f32 alphay (/.f32 2 (.f32 alphax (/.f32 (-.f32 1 (pow.f32 (tan.f32 (.f32 (PI.f32) u1)) 2)) (tan.f32 (.f32 (PI.f32) u1))))))
(/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (.f32 2 (PI.f32)) u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u1)))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 (/.f32 alphay (cos.f32 (.f32 (PI.f32) (.f32 u1 2)))) (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))))
(/.f32 (.f32 (tan.f32 (.f32 (*.f32 2 (PI.f32)) u1)) (neg.f32 alphay)) (neg.f32 alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
(/.f32 (.f32 (neg.f32 alphay) (tan.f32 (.f32 (*.f32 2 (PI.f32)) u1))) (neg.f32 alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
(/.f32 (.f32 (.f32 2 (tan.f32 (.f32 u1 (PI.f32)))) (/.f32 alphay alphax)) (-.f32 1 (pow.f32 (tan.f32 (.f32 u1 (PI.f32))) 2)))
(.f32 (/.f32 alphay alphax) (/.f32 (.f32 2 (tan.f32 (.f32 (PI.f32) u1))) (-.f32 1 (pow.f32 (tan.f32 (.f32 (PI.f32) u1)) 2))))
(.f32 (/.f32 2 (-.f32 1 (pow.f32 (tan.f32 (.f32 (PI.f32) u1)) 2))) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) u1))))
(.f32 alphay (/.f32 2 (.f32 alphax (/.f32 (-.f32 1 (pow.f32 (tan.f32 (.f32 (PI.f32) u1)) 2)) (tan.f32 (.f32 (PI.f32) u1))))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 2 (PI.f32)) u1)) (/.f32 alphay alphax)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u1)))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u1))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u1)))))
(.f32 (/.f32 alphay (cos.f32 (.f32 (PI.f32) (.f32 u1 2)))) (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 alphay (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u1))) (.f32 alphax (cos.f32 (.f32 (PI.f32) (.f32 2 u1))))))
(/.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (*.f32 2 (PI.f32)) u1))) 1) alphax)
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
(/.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (*.f32 2 (PI.f32)) u1))) (pow.f32 (cbrt.f32 alphax) 2)) (cbrt.f32 alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
(/.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (*.f32 2 (PI.f32)) u1))) (sqrt.f32 alphax)) (sqrt.f32 alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 2 (PI.f32)) u1))) 1)
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
(pow.f32 (cbrt.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 2 (PI.f32)) u1)))) 3)
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
(pow.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 2 (PI.f32)) u1))) 2) 1/2)
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
(pow.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 2 (PI.f32)) u1))) 3) 1/3)
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
(pow.f32 (sqrt.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 2 (PI.f32)) u1)))) 2)
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
(pow.f32 (/.f32 alphax (.f32 alphay (tan.f32 (.f32 (*.f32 2 (PI.f32)) u1)))) -1)
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
(sqrt.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 2 (PI.f32)) u1))) 2))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
(log.f32 (pow.f32 (exp.f32 (/.f32 alphay alphax)) (tan.f32 (.f32 (.f32 2 (PI.f32)) u1))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.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 (*.f32 2 (PI.f32)) u1))))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
(cbrt.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 2 (PI.f32)) u1))) 3))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
(expm1.f32 (log1p.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 2 (PI.f32)) u1)))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
(exp.f32 (log.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 2 (PI.f32)) u1)))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
(exp.f32 (.f32 (log.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (.f32 2 (PI.f32)) u1)))) 1))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
(exp.f32 (.f32 (.f32 (log.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 2 (PI.f32)) u1)))) 1) 1))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
(exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (.f32 2 (PI.f32)) u1))))) 3))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
(exp.f32 (.f32 (log.f32 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (.f32 2 (PI.f32)) u1))) 3)) 1/3))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (.f32 2 (PI.f32)) u1))))) 2))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))
(log1p.f32 (expm1.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (*.f32 2 (PI.f32)) u1)))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 (PI.f32) u1))))
(.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (*.f32 u1 2))) alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (*.f32 2 u1))))

localize558.0ms (2.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	68.7%	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))
	63.0%	(tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))
	62.3%	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))))))
	1.0%	(tan.f32 (*.f32 1/2 (PI.f32)))

Compiler

Compiled 600 to 373 computations (37.8% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite98.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1228×	`log-prod`
758×	`pow-prod-down`
592×	`pow-prod-up`
518×	`pow-exp`
456×	`expm1-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	245	25
2	3043	25

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

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

simplify74.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1170×	`log-prod`
1076×	`associate-r`
948×	`associate-l`
852×	`times-frac`
484×	`log-div`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	113	2236
1	262	2194
2	849	2194
3	5960	2194

Stop Event

1×	node limit

Counts

64 → 47

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

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

eval2.2s (8.1%)

Compiler: Compiled 91282 to 59768 computations (34.5% saved)

prune812.0ms (3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	1027	2	1029
Fresh	0	0	0
Picked	0	1	1
Done	2	1	3
Total	1029	4	1033

Accurracy

99.4%

Counts

1033 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (fma.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphax) (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphax) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (.f32 alphay alphay)))) (-.f32 1 u0))))))
▶	97.1%	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (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 alphay (/.f32 (/.f32 (/.f32 alphax u1) (PI.f32)) 2)))) alphax) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (.f32 alphay alphay)))) (-.f32 1 u0))))))
✓	99.4%	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (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 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (*.f32 alphay alphay)))) (-.f32 1 u0))))))
✓	98.3%	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (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 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))) (.f32 alphay alphay)))) (-.f32 1 u0))))))

Compiler

Compiled 315 to 222 computations (29.5% saved)

localize475.0ms (1.8%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	98.8%	(/.f32 (/.f32 alphax u1) (PI.f32))
	98.7%	(.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))
	63.0%	(tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))
	62.3%	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))))))

Compiler

Compiled 638 to 375 computations (41.2% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	alphax	@	inf	(/.f32 (/.f32 alphax u1) (PI.f32))
1.0ms	alphax	@	0	(/.f32 (/.f32 alphax u1) (PI.f32))
1.0ms	u1	@	0	(/.f32 (/.f32 alphax u1) (PI.f32))
0.0ms	alphax	@	-inf	(/.f32 (/.f32 alphax u1) (PI.f32))
0.0ms	u1	@	inf	(/.f32 (/.f32 alphax u1) (PI.f32))

rewrite95.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1962×	`pow1`
1810×	`add-exp-log`
1810×	`log1p-expm1-u`
1810×	`expm1-log1p-u`
180×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	170	15
2	2378	15

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

Inputs
(/.f32 (/.f32 alphax u1) (PI.f32))

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

simplify73.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1280×	`log-div`
1062×	`fma-def`
1024×	`log-prod`
822×	`associate-*r/`
748×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	115	1055
1	296	1037
2	972	1037
3	4854	1037

Stop Event

1×	node limit

Counts

63 → 49

Calls

Call 1

Inputs
(/.f32 alphax (*.f32 (PI.f32) u1))
(/.f32 alphax (*.f32 (PI.f32) u1))
(/.f32 alphax (*.f32 (PI.f32) u1))
(/.f32 alphax (*.f32 (PI.f32) u1))
(/.f32 alphax (*.f32 (PI.f32) u1))
(/.f32 alphax (*.f32 (PI.f32) u1))
(/.f32 alphax (*.f32 (PI.f32) u1))
(/.f32 alphax (*.f32 (PI.f32) u1))
(/.f32 alphax (*.f32 (PI.f32) u1))
(/.f32 alphax (*.f32 (PI.f32) u1))
(/.f32 alphax (*.f32 (PI.f32) u1))
(/.f32 alphax (*.f32 (PI.f32) u1))
(/.f32 alphax (*.f32 u1 (PI.f32)))
(/.f32 alphax (*.f32 u1 (PI.f32)))
(/.f32 alphax (*.f32 u1 (PI.f32)))
(/.f32 alphax (*.f32 u1 (PI.f32)))
(/.f32 alphax (*.f32 u1 (PI.f32)))
(/.f32 alphax (*.f32 u1 (PI.f32)))
(/.f32 alphax (*.f32 u1 (PI.f32)))
(/.f32 alphax (*.f32 u1 (PI.f32)))
(/.f32 alphax (*.f32 u1 (PI.f32)))
(/.f32 alphax (*.f32 u1 (PI.f32)))
(/.f32 alphax (*.f32 u1 (PI.f32)))
(/.f32 alphax (*.f32 u1 (PI.f32)))
(-.f32 (+.f32 1 (/.f32 alphax (*.f32 u1 (PI.f32)))) 1)
(.f32 alphax (/.f32 1 (.f32 u1 (PI.f32))))
(.f32 alphax (.f32 (/.f32 1 u1) (/.f32 1 (PI.f32))))
(*.f32 (/.f32 alphax u1) (/.f32 1 (PI.f32)))
(.f32 (/.f32 alphax (.f32 u1 (PI.f32))) 1)
(.f32 1 (/.f32 alphax (.f32 u1 (PI.f32))))
(.f32 (cbrt.f32 (/.f32 alphax (.f32 u1 (PI.f32)))) (pow.f32 (cbrt.f32 (/.f32 alphax (*.f32 u1 (PI.f32)))) 2))
(.f32 (pow.f32 (cbrt.f32 (/.f32 alphax (.f32 u1 (PI.f32)))) 2) (cbrt.f32 (/.f32 alphax (*.f32 u1 (PI.f32)))))
(.f32 (pow.f32 (cbrt.f32 (/.f32 alphax u1)) 2) (.f32 (cbrt.f32 (/.f32 alphax u1)) (/.f32 1 (PI.f32))))
(.f32 (sqrt.f32 (/.f32 alphax (.f32 u1 (PI.f32)))) (sqrt.f32 (/.f32 alphax (*.f32 u1 (PI.f32)))))
(.f32 (sqrt.f32 (/.f32 alphax u1)) (.f32 (sqrt.f32 (/.f32 alphax u1)) (/.f32 1 (PI.f32))))
(*.f32 (/.f32 (neg.f32 alphax) u1) (/.f32 1 (neg.f32 (PI.f32))))
(*.f32 (/.f32 1 (PI.f32)) (/.f32 alphax u1))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 alphax) 2) (PI.f32)) (/.f32 (cbrt.f32 alphax) u1))
(*.f32 (/.f32 (sqrt.f32 alphax) (PI.f32)) (/.f32 (sqrt.f32 alphax) u1))
(*.f32 (/.f32 alphax 1) (/.f32 (/.f32 1 u1) (PI.f32)))
(*.f32 (/.f32 alphax (pow.f32 (cbrt.f32 (PI.f32)) 2)) (/.f32 (/.f32 1 u1) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 alphax (sqrt.f32 (PI.f32))) (/.f32 (/.f32 1 u1) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (/.f32 (/.f32 alphax u1) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 1 (sqrt.f32 (PI.f32))) (/.f32 (/.f32 alphax u1) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 alphax u1)) 2) 1) (/.f32 (cbrt.f32 (/.f32 alphax u1)) (PI.f32)))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 alphax u1)) 2) (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (/.f32 alphax (.f32 u1 (PI.f32)))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (/.f32 alphax u1)) 2) (sqrt.f32 (PI.f32))) (/.f32 (cbrt.f32 (/.f32 alphax u1)) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 (sqrt.f32 (/.f32 alphax u1)) 1) (/.f32 (sqrt.f32 (/.f32 alphax u1)) (PI.f32)))
(*.f32 (/.f32 (sqrt.f32 (/.f32 alphax u1)) (pow.f32 (cbrt.f32 (PI.f32)) 2)) (/.f32 (sqrt.f32 (/.f32 alphax u1)) (cbrt.f32 (PI.f32))))
(pow.f32 (/.f32 alphax (*.f32 u1 (PI.f32))) 1)
(pow.f32 (cbrt.f32 (/.f32 alphax (*.f32 u1 (PI.f32)))) 3)
(pow.f32 (pow.f32 (/.f32 alphax (*.f32 u1 (PI.f32))) 3) 1/3)
(pow.f32 (sqrt.f32 (/.f32 alphax (*.f32 u1 (PI.f32)))) 2)
(pow.f32 (*.f32 (PI.f32) (/.f32 u1 alphax)) -1)
(neg.f32 (/.f32 (/.f32 alphax u1) (neg.f32 (PI.f32))))
(sqrt.f32 (pow.f32 (/.f32 alphax (*.f32 u1 (PI.f32))) 2))
(log.f32 (exp.f32 (/.f32 alphax (*.f32 u1 (PI.f32)))))
(cbrt.f32 (pow.f32 (/.f32 alphax (*.f32 u1 (PI.f32))) 3))
(cbrt.f32 (/.f32 (pow.f32 (/.f32 alphax u1) 3) (pow.f32 (PI.f32) 3)))
(expm1.f32 (log1p.f32 (/.f32 alphax (*.f32 u1 (PI.f32)))))
(exp.f32 (log.f32 (/.f32 alphax (*.f32 u1 (PI.f32)))))
(exp.f32 (.f32 (log.f32 (/.f32 alphax (.f32 u1 (PI.f32)))) 1))
(log1p.f32 (expm1.f32 (/.f32 alphax (*.f32 u1 (PI.f32)))))

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

localize687.0ms (2.6%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	68.7%	(.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax))
	63.0%	(tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))
	62.3%	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))))))
	1.0%	(tan.f32 (*.f32 1/2 (PI.f32)))

Compiler

Compiled 637 to 403 computations (36.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite74.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1228×	`log-prod`
758×	`pow-prod-down`
592×	`pow-prod-up`
518×	`pow-exp`
456×	`expm1-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	245	25
2	3040	25

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

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

simplify88.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1270×	`log-prod`
1106×	`associate-r`
1010×	`associate-l`
842×	`times-frac`
492×	`log-div`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	111	2211
1	262	2169
2	861	2169
3	6082	2169

Stop Event

1×	node limit

Counts

63 → 47

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

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

eval1.5s (5.6%)

Compiler: Compiled 62776 to 40658 computations (35.2% saved)

prune404.0ms (1.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	708	3	711
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	708	7	715

Accurracy

99.4%

Counts

715 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.1%	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (fma.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphax) (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphax) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (.f32 alphay alphay)))) (-.f32 1 u0))))))
✓	97.1%	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (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 alphay (/.f32 (/.f32 (/.f32 alphax u1) (PI.f32)) 2)))) alphax) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (.f32 alphay alphay)))) (-.f32 1 u0))))))
▶	96.2%	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (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 alphay (/.f32 (/.f32 (/.f32 alphax u1) (PI.f32)) 2)))) alphax) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))) (*.f32 alphay alphay)))) (-.f32 1 u0))))))
✓	99.4%	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (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 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (*.f32 alphay alphay)))) (-.f32 1 u0))))))
✓	98.3%	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (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 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))) (.f32 alphay alphay)))) (-.f32 1 u0))))))
▶	93.5%	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (fma.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))))) alphax) (/.f32 (cos.f32 (atan.f32 (/.f32 alphay (/.f32 (/.f32 (/.f32 alphax u1) (PI.f32)) 2)))) alphax) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (.f32 alphay alphay)))) (-.f32 1 u0))))))
▶	97.4%	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (fma.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))) alphax) (/.f32 (cos.f32 (atan.f32 (/.f32 alphay (/.f32 (/.f32 (/.f32 alphax u1) (PI.f32)) 2)))) alphax) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (*.f32 alphay alphay)))) (-.f32 1 u0))))))

Compiler

Compiled 539 to 379 computations (29.7% saved)

localize688.0ms (2.6%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	68.7%	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))
	63.0%	(tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))
	7.2%	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))))
	1.0%	(tan.f32 (*.f32 1/2 (PI.f32)))

Compiler

Compiled 630 to 365 computations (42.1% saved)

localize438.0ms (1.6%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	98.8%	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (*.f32 u1 (PI.f32)))))
	98.8%	(/.f32 (/.f32 alphax u1) (PI.f32))
	98.7%	(.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))
	63.0%	(tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))

Compiler

Compiled 657 to 366 computations (44.3% saved)

localize568.0ms (2.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	68.7%	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32))))
	63.0%	(tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))
	62.3%	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (*.f32 2 u1) 1/2))))))
	1.0%	(tan.f32 (*.f32 1/2 (PI.f32)))

Compiler

Compiled 640 to 371 computations (42% saved)

eval2.1s (8%)

Compiler: Compiled 67344 to 42413 computations (37% saved)

prune381.0ms (1.4%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	794	3	797
Fresh	0	0	0
Picked	0	1	1
Done	1	5	6
Total	795	9	804

Accurracy

99.4%

Counts

804 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.1%	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (fma.f32 (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphax) (/.f32 (cos.f32 (atan.f32 (/.f32 alphay (/.f32 (/.f32 (/.f32 alphax u1) (PI.f32)) 2)))) alphax) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (*.f32 alphay alphay)))) (-.f32 1 u0))))))
	93.5%	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (fma.f32 (/.f32 (cos.f32 (atan.f32 (/.f32 alphay (/.f32 (/.f32 (/.f32 alphax u1) (PI.f32)) 2)))) alphax) (/.f32 (cos.f32 (atan.f32 (/.f32 alphay (/.f32 (/.f32 (/.f32 alphax u1) (PI.f32)) 2)))) alphax) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (*.f32 alphay alphay)))) (-.f32 1 u0))))))
✓	98.1%	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (fma.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) alphax) (/.f32 (/.f32 1 (hypot.f32 1 (.f32 (tan.f32 (.f32 1/2 (PI.f32))) (/.f32 alphay alphax)))) alphax) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (.f32 alphay alphay)))) (-.f32 1 u0))))))
✓	97.1%	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (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 alphay (/.f32 (/.f32 (/.f32 alphax u1) (PI.f32)) 2)))) alphax) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (.f32 alphay alphay)))) (-.f32 1 u0))))))
✓	96.2%	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (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 alphay (/.f32 (/.f32 (/.f32 alphax u1) (PI.f32)) 2)))) alphax) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))) (*.f32 alphay alphay)))) (-.f32 1 u0))))))
✓	99.4%	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (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 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (*.f32 alphay alphay)))) (-.f32 1 u0))))))
✓	98.3%	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (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 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))) (.f32 alphay alphay)))) (-.f32 1 u0))))))
✓	93.5%	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (fma.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))))) alphax) (/.f32 (cos.f32 (atan.f32 (/.f32 alphay (/.f32 (/.f32 (/.f32 alphax u1) (PI.f32)) 2)))) alphax) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (.f32 alphay alphay)))) (-.f32 1 u0))))))
	92.6%	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (fma.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 2 (.f32 u1 (PI.f32))))))) alphax) (/.f32 (cos.f32 (atan.f32 (/.f32 alphay (/.f32 (/.f32 (/.f32 alphax u1) (PI.f32)) 2)))) alphax) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 1/2 (PI.f32)))))) (*.f32 alphay alphay)))) (-.f32 1 u0))))))

Compiler

Compiled 688 to 482 computations (29.9% saved)

regimes125.0ms (0.5%)

Counts

13 → 1

Calls

Call 1

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

Calls

13 calls:

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)))
10.0ms	(/.f32 (.f32 (/.f32 1 (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0))
9.0ms	(/.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))))
9.0ms	u1
9.0ms	alphax

Results

Accuracy	Segments	Branch
99.4%	1	`u0`
99.4%	1	`u1`
99.4%	1	`alphax`
99.4%	1	`alphay`
99.4%	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)))))
99.4%	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))))
99.4%	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)))
99.4%	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))
99.4%	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))))
99.4%	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)))
99.4%	1	`(tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))`
99.4%	1	`(+.f32 (.f32 (.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32)))`
99.4%	1	`(.f32 (.f32 2 (PI.f32)) u1)`

Compiler

Compiled 1536 to 1010 computations (34.2% saved)

regimes51.0ms (0.2%)

Counts

11 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.3%	1	`u0`
98.3%	1	`u1`
98.3%	1	`alphax`
98.3%	1	`alphay`

Compiler

Compiled 817 to 518 computations (36.6% saved)

regimes43.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.1%	1	`u0`
98.1%	1	`u1`
98.1%	1	`alphax`
98.1%	1	`alphay`

Compiler

Compiled 669 to 424 computations (36.6% saved)

regimes35.0ms (0.1%)

Accuracy

Total -1.8b remaining (-291.3%)

Threshold costs -1.8b (-291.3%)

Counts

7 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.1%	1	`u0`
98.1%	1	`u1`
98.1%	1	`alphax`
98.1%	1	`alphay`

Compiler

Compiled 521 to 328 computations (37% saved)

simplify25.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	1187
1	97	1187
2	101	1187
3	103	1187
4	104	1187

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 388 to 272 computations (29.9% saved)

soundness438.0ms (1.6%)

Rules

1818×	`div-sub`
1656×	`fma-def`
1444×	`associate-/l*`
1416×	`log-prod`
1202×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	275
1	70	265
2	125	249
3	238	233
4	496	233
5	1723	233
6	7250	233
0	209	4408
1	562	4318
2	1935	4230
0	14	46
1	286	46
2	3547	46
0	163	2849
1	292	2759
2	830	2679
3	4916	2679

Stop Event

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

Compiler

Compiled 1717 to 1108 computations (35.5% saved)

end149.0ms (0.6%)

Compiler: Compiled 372 to 242 computations (34.9% saved)

Details

analyze1.3s (5%)

sample8.7s (32.5%)

preprocess119.0ms (0.4%)

simplify104.0ms (0.4%)

eval7.0ms (0%)

prune2.0ms (0%)

localize768.0ms (2.9%)

series60.0ms (0.2%)

rewrite102.0ms (0.4%)

simplify192.0ms (0.7%)

eval1.6s (6%)

prune329.0ms (1.2%)

localize456.0ms (1.7%)

series3.0ms (0%)

rewrite80.0ms (0.3%)

simplify74.0ms (0.3%)

localize421.0ms (1.6%)

series15.0ms (0.1%)

rewrite72.0ms (0.3%)

simplify69.0ms (0.3%)

localize558.0ms (2.1%)

series5.0ms (0%)

rewrite98.0ms (0.4%)

simplify74.0ms (0.3%)

eval2.2s (8.1%)

prune812.0ms (3%)

localize475.0ms (1.8%)

series3.0ms (0%)

rewrite95.0ms (0.4%)

simplify73.0ms (0.3%)

localize687.0ms (2.6%)

series1.0ms (0%)

rewrite74.0ms (0.3%)

simplify88.0ms (0.3%)

eval1.5s (5.6%)

prune404.0ms (1.5%)

localize688.0ms (2.6%)

localize438.0ms (1.6%)

localize568.0ms (2.1%)

eval2.1s (8%)

prune381.0ms (1.4%)

regimes125.0ms (0.5%)

regimes51.0ms (0.2%)

regimes43.0ms (0.2%)

regimes35.0ms (0.1%)

simplify25.0ms (0.1%)

soundness438.0ms (1.6%)

end149.0ms (0.6%)

Profiling