Details

analyze1.3s (9.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12

Compiler

Compiled 123 to 87 computations (29.3% saved)

sample9.1s (65.5%)

Results

9.0s

8256×

body

256

valid

preprocess95.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

602×	`distribute-lft-in_binary32`
602×	`distribute-rgt-in_binary32`
593×	`fma-def_binary32`
374×	`associate-/l*_binary32`
350×	`times-frac_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	966
1	321	931
2	651	875
3	1829	819
4	4255	819
5	7763	819
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 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u1 (.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)) u1 (.f32 (PI.f32) 1/2)))))))))) (/.f32 (-.f32 1 u0) u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (-.f32 1 u0) (fma.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2)))))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2)))))) alphax) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2)))))) (.f32 alphay alphay)) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))))))))))))
(/.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 (/.f32 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 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))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 (/.f32 1 (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u0) (.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u0) (.f32 1/2 (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u0) (.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u0) (.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u1) (-.f32 1 u1)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 (.f32 1 u1) (+.f32 (.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u0 (.f32 (PI.f32) 1/2)))))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u0 (.f32 (PI.f32) 1/2)))))) alphax)) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u0 (.f32 (PI.f32) 1/2)))))) alphay) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u0 (*.f32 (PI.f32) 1/2)))))) alphay)))) (-.f32 1 u1)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u1 (.f32 (-.f32 1 u1) (fma.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u0) (.f32 (PI.f32) 1/2)))))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u0) (.f32 (PI.f32) 1/2)))))) alphax) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u0) (.f32 (PI.f32) 1/2)))))) (.f32 alphay alphay)) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u0) (*.f32 (PI.f32) 1/2)))))))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u1 (.f32 (fma.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u0))))))) (.f32 alphay alphay)) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 2 u0))))))) (.f32 (/.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 1 u1))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u1 (.f32 (fma.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u0 1/2)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u0 1/2)))))) (.f32 alphax alphax)) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 2 u0 1/2)))))) alphay) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u0 1/2)))))) alphay))) (-.f32 1 u1))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u1 (.f32 (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)))))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u0 1/2)))))) alphax))) (-.f32 1 u1))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 (/.f32 1 (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay u0) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay u0) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (.f32 u0 u0)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay u0) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay u0) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) alphax) (-.f32 1 alphax)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 (.f32 1 alphax) (+.f32 (.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u1 (.f32 (PI.f32) 1/2))) (/.f32 alphay u0)))) u0) (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u1 (.f32 (PI.f32) 1/2))) (/.f32 alphay u0)))) u0)) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u1 (.f32 (PI.f32) 1/2))) (/.f32 alphay u0)))) alphay) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u1 (*.f32 (PI.f32) 1/2))) (/.f32 alphay u0)))) alphay)))) (-.f32 1 alphax)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 alphax (.f32 (-.f32 1 alphax) (fma.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))) (/.f32 alphay u0)))) alphay) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))) (/.f32 alphay u0)))) alphay) (.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))) (/.f32 alphay u0)))) u0) (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))) (/.f32 alphay u0)))) u0))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 alphax (-.f32 1 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 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))) (/.f32 alphay u0)))) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))) (/.f32 alphay u0)))) (*.f32 alphay alphay))))))))
(/.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 (/.f32 alphax (fma.f32 (/.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) u0)))) u0) (/.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) u0)))) u0) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) u0)))) alphay) (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) u0)))) alphay)))) (-.f32 1 alphax)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 (/.f32 1 (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 u0 alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 u0 alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 u0 alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 u0 alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (*.f32 u0 u0)))) alphay) (-.f32 1 alphay)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 (.f32 1 alphay) (+.f32 (.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u1 (.f32 (PI.f32) 1/2))) (/.f32 u0 alphax)))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u1 (.f32 (PI.f32) 1/2))) (/.f32 u0 alphax)))) alphax)) (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u1 (.f32 (PI.f32) 1/2))) (/.f32 u0 alphax)))) u0) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u1 (*.f32 (PI.f32) 1/2))) (/.f32 u0 alphax)))) u0)))) (-.f32 1 alphay)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (/.f32 alphay (fma.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))) (/.f32 u0 alphax)))) u0) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))) (/.f32 u0 alphax)))) u0) (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))) (/.f32 u0 alphax)))) (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))) (/.f32 u0 alphax))))) (.f32 alphax alphax)))) (-.f32 1 alphay)))))
(/.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 alphay (.f32 (fma.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 u0 alphax)))) (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 u0 alphax)))) (.f32 alphax alphax)) (.f32 (/.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 alphay (.f32 (fma.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 u0 alphax)))) (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 u0 alphax)))) (.f32 alphax alphax)) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 u0 alphax)))) (.f32 u0 (/.f32 u0 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 u0 alphax)))))))) (-.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 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (fma.f32 (.f32 2 (PI.f32)) alphax (.f32 (PI.f32) 1/2)))))) alphay) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (fma.f32 (.f32 2 (PI.f32)) alphax (.f32 (PI.f32) 1/2)))))) alphay)))) (/.f32 (-.f32 1 u0) u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (-.f32 1 u0) (fma.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (fma.f32 alphax (.f32 2 (PI.f32)) (.f32 (PI.f32) 1/2)))))) alphay) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (fma.f32 alphax (.f32 2 (PI.f32)) (.f32 (PI.f32) 1/2)))))) alphay) (.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (fma.f32 alphax (.f32 2 (PI.f32)) (.f32 (PI.f32) 1/2)))))) u1) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (fma.f32 alphax (.f32 2 (PI.f32)) (.f32 (PI.f32) 1/2)))))) u1))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (-.f32 1 u0) (fma.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 alphax 2) 1/2)))))) (.f32 u1 u1)) (cos.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 alphax 2) 1/2)))))) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 alphax 2) 1/2)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 alphax 2) 1/2)))))) (.f32 alphay alphay)))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (-.f32 1 u0) (fma.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (.f32 (PI.f32) (fma.f32 alphax 2 1/2)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (.f32 (PI.f32) (fma.f32 alphax 2 1/2)))))) (.f32 u1 u1)) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (.f32 (PI.f32) (fma.f32 alphax 2 1/2)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay u1) (tan.f32 (.f32 (PI.f32) (fma.f32 alphax 2 1/2)))))) (.f32 alphay alphay)))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (-.f32 1 u0) (fma.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 alphax 2 1/2))) u1)))) (/.f32 (cos.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 alphax 2 1/2))) u1)))) (.f32 u1 u1)) (.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 alphax 2 1/2))) u1)))) (/.f32 (sin.f32 (atan.f32 (.f32 alphay (/.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 alphax 2 1/2))) u1)))) (.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 (sin.f32 (atan.f32 (.f32 (/.f32 u1 alphax) (tan.f32 (fma.f32 (.f32 2 (PI.f32)) alphay (.f32 (PI.f32) 1/2)))))) (/.f32 (.f32 u1 u1) (sin.f32 (atan.f32 (.f32 (/.f32 u1 alphax) (tan.f32 (fma.f32 (.f32 2 (PI.f32)) alphay (.f32 (PI.f32) 1/2)))))))))) (/.f32 (-.f32 1 u0) u0)))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (-.f32 1 u0) (fma.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 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))))))) alphax) (/.f32 (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 (/.f32 u1 alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 alphay 2 1/2)))))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 u1 alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 alphay 2 1/2)))))) (.f32 alphax alphax)) (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 u1 alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 alphay 2 1/2)))))) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 u1 alphax) (tan.f32 (.f32 (PI.f32) (fma.f32 alphay 2 1/2)))))) (.f32 u1 u1)))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.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 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u1 (.f32 (PI.f32) 1/2))) (/.f32 alphax alphay)))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 2 (PI.f32)) u1 (.f32 (PI.f32) 1/2))) (/.f32 alphax alphay)))) 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 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))) (/.f32 alphax alphay)))) alphax) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))) (/.f32 alphax alphay)))) alphax) (.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))) (/.f32 alphax alphay)))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))) (/.f32 alphax alphay)))) alphay))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (-.f32 1 u0) (fma.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))) (/.f32 alphax alphay)))) alphax) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u1) 1/2))) (/.f32 alphax alphay)))) alphax) (.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 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (-.f32 1 u0) (fma.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))) (.f32 alphax alphax)) (.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))) alphay) (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))) alphay))))))))
(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 u0 (.f32 (-.f32 1 u0) (fma.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))) (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))) (.f32 alphay alphay)) (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) (fma.f32 2 u1 1/2))) (/.f32 alphax alphay)))) (.f32 alphax alphax)))))))))

Compiler

Compiled 96 to 68 computations (29.2% saved)

simplify61.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

907×	`div-sub_binary32`
801×	`fma-def_binary32`
601×	`times-frac_binary32`
529×	`associate-/l*_binary32`
423×	`fma-neg_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	138
1	66	133
2	122	125
3	236	117
4	496	117
5	1791	117
6	7412	117

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

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

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

eval5.0ms (0%)

Compiler: Compiled 165 to 113 computations (31.5% saved)

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

0.2b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(/.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)))))

Status

Error

Program

▶

0.2b

(/.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)))))

Compiler

Compiled 92 to 64 computations (30.4% saved)

localize723.0ms (5.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 (.f32 2 (PI.f32)) u1)
✓	0.5b	(.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))))))))
✓	11.3b	(tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))
✓	12.5b	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))

Compiler

Compiled 828 to 510 computations (38.4% saved)

series24.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	u1	@	0	(tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))
3.0ms	u1	@	0	(.f32 (.f32 2 (PI.f32)) u1)
1.0ms	alphay	@	0	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))
1.0ms	alphax	@	inf	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))
1.0ms	u1	@	-inf	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))

rewrite103.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

519×	`fma-def_binary32`
349×	`expm1-udef_binary32`
349×	`log1p-udef_binary32`
284×	`log-pow_binary32`
280×	`fma-neg_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	76
1	378	76
2	5237	76

Stop Event

1×	node limit

Counts

4 → 95

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (cos.f32 (exp.f32 (log1p.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2)))))))) (cos.f32 1)) (.f32 (sin.f32 (exp.f32 (log1p.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2)))))))) (sin.f32 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))))))) (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))))))) 2) (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))))))) (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (cbrt.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2)))))) 4))) (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (hypot.f32 1 (sqrt.f32 (cos.f32 (.f32 2 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))))))))) (sqrt.f32 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -1 (neg.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2)))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2)))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (hypot.f32 1 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay 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simplify85.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

609×	`distribute-rgt-in_binary32`
591×	`distribute-lft-in_binary32`
481×	`cancel-sign-sub-inv_binary32`
329×	`associate-r_binary32`
303×	`distribute-rgt-neg-in_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	2745
1	189	2546
2	585	2355
3	3612	2251

Stop Event

1×	node limit

Counts

191 → 112

Calls

Call 1

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

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

eval791.0ms (5.7%)

Compiler: Compiled 28300 to 18280 computations (35.4% saved)

prune118.0ms (0.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	291	1	292
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	292	1	293

Error

0.2b

Counts

293 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 (/.f32 1 (+.f32 (/.f32 (/.f32 1 (+.f32 1 (pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2)))) 2))) (.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)))))

Status

Error

Program

▶

0.2b

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

Compiler

Compiled 78 to 56 computations (28.2% saved)

localize585.0ms (4.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f32 (PI.f32) u1)
✓	0.6b	(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))) 2)
	11.3b	(tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (*.f32 1/2 (PI.f32))))
✓	11.3b	(tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (.f32 (PI.f32) 1/2)))

Compiler

Compiled 754 to 455 computations (39.7% saved)

series77.0ms (0.6%)

Counts

3 → 48

Calls

15 calls:

Time	Variable		Point	Expression
47.0ms	u1	@	-inf	(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))) 2)
8.0ms	u1	@	0	(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))) 2)
5.0ms	alphay	@	-inf	(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))) 2)
4.0ms	alphay	@	0	(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))) 2)
3.0ms	alphax	@	0	(pow.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 2 (.f32 (PI.f32) u1) (*.f32 (PI.f32) 1/2)))) 2)

rewrite73.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

709×	`log-prod_binary32`
370×	`pow2_binary32`
271×	`pow-unpow_binary32`
261×	`pow1/3_binary32`
257×	`expm1-udef_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	44
1	295	44
2	3608	44

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (PI.f32) u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u1)) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) u1))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (PI.f32) u1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) u1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) u1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (PI.f32) u1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (PI.f32) u1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u1 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 u1 3) (pow.f32 (PI.f32) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (PI.f32) u1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (PI.f32)) u1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (PI.f32) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (PI.f32) u1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 u1 3) (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (PI.f32) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (PI.f32) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (PI.f32) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (*.f32 (PI.f32) u1)) 1))))))

Outputs

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1/2 (*.f32 (*.f32 2 (PI.f32)) u1))) alphay) (*.f32 (tan.f32 (fma.f32 (PI.f32) 1/2 (*.f32 (*.f32 2 (PI.f32)) u1))) (/.f32 alphay alphax))) alphax)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (tan.f32 (fma.f32 (PI.f32) 1/2 (*.f32 (*.f32 2 (PI.f32)) u1))) (/.f32 alphay alphax)) (*.f32 (tan.f32 (fma.f32 (PI.f32) 1/2 (*.f32 (*.f32 2 (PI.f32)) u1))) alphay)) alphax)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 (tan.f32 (fma.f32 (PI.f32) 1/2 (*.f32 (*.f32 2 (PI.f32)) u1))) (/.f32 alphay alphax)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (*.f32 (tan.f32 (fma.f32 (PI.f32) 1/2 (*.f32 (*.f32 2 (PI.f32)) u1))) (/.f32 alphay alphax)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (*.f32 (tan.f32 (fma.f32 (PI.f32) 1/2 (*.f32 (*.f32 2 (PI.f32)) u1))) (/.f32 alphay alphax)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (pow.f32 (*.f32 (tan.f32 (fma.f32 (PI.f32) 1/2 (*.f32 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((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (PI.f32) u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u1)) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) u1))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (PI.f32) u1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (PI.f32) u1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (PI.f32) u1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (PI.f32) u1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (PI.f32) u1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u1 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 u1 3) (pow.f32 (PI.f32) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 (PI.f32) u1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (PI.f32)) u1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (PI.f32) u1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 u1 3) (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (PI.f32) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (PI.f32) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (PI.f32) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) u1)) 1))))))

simplify104.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

755×	`associate-l_binary32`
675×	`associate-/r*_binary32`
362×	`fma-def_binary32`
341×	`*-commutative_binary32`
300×	`associate-*r/_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	126	3317
1	410	3238
2	1513	3001
3	7711	3001

Stop Event

1×	node limit

Counts

129 → 104

Calls

Call 1

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

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

eval397.0ms (2.9%)

Compiler: Compiled 16288 to 10883 computations (33.2% saved)

prune30.0ms (0.2%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	174	1	175

Error

0.2b

Counts

175 → 1

Alt Table

Click to see full alt table

Status

Error

Program

✓

0.2b

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

Compiler

Compiled 78 to 56 computations (28.2% saved)

regimes105.0ms (0.8%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

Calls

13 calls:

6.0ms	(+.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)))
5.0ms	(+.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)))
5.0ms	(/.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))
5.0ms	(/.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))))
5.0ms	(/.f32 1 (sqrt.f32 (+.f32 1 (/.f32 (.f32 (/.f32 1 (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) u1) (.f32 1/2 (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 1 u0)))))

Results

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

Compiler

Compiled 740 to 513 computations (30.7% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary32`
6×	`+-commutative_binary32`
2×	`sub-neg_binary32`
1×	`neg-sub0_binary32`
1×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	120
1	54	120
2	58	120
3	60	120
4	61	120

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

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

Compiler

Compiled 78 to 56 computations (28.2% saved)

soundness0.0ms (0%)

end81.0ms (0.6%)

Compiler: Compiled 78 to 56 computations (28.2% saved)

Details

analyze1.3s (9.5%)

sample9.1s (65.5%)

preprocess95.0ms (0.7%)

simplify61.0ms (0.4%)

eval5.0ms (0%)

prune4.0ms (0%)

localize723.0ms (5.2%)

series24.0ms (0.2%)

rewrite103.0ms (0.7%)

simplify85.0ms (0.6%)

eval791.0ms (5.7%)

prune118.0ms (0.9%)

localize585.0ms (4.2%)

series77.0ms (0.6%)

rewrite73.0ms (0.5%)

simplify104.0ms (0.7%)

eval397.0ms (2.9%)

prune30.0ms (0.2%)

regimes105.0ms (0.8%)

simplify6.0ms (0%)

soundness0.0ms (0%)

end81.0ms (0.6%)

Profiling