Details

analyze704.0ms (0.5%)

Algorithm

1×

Search

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

Compiler

Compiled 123 to 87 computations (29.3% saved)

sample5.5s (3.7%)

Results

5.5s

8256×

body

256

valid

Bogosity

preprocess3.0s (2%)

Algorithm

2×

egglog

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

Inputs
(/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (.f64 (/.f64 1 (+.f64 (/.f64 (.f64 (cos.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u1) (.f64 1/2 (PI.f64))))))) (cos.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u1) (.f64 1/2 (PI.f64)))))))) (.f64 alphax alphax)) (/.f64 (.f64 (sin.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u1) (.f64 1/2 (PI.f64))))))) (sin.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u1) (.f64 1/2 (PI.f64)))))))) (*.f64 alphay alphay)))) u0) (-.f64 1 u0)))))
(/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (.f64 (/.f64 1 (+.f64 (/.f64 (.f64 (cos.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u0) (.f64 1/2 (PI.f64))))))) (cos.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u0) (.f64 1/2 (PI.f64)))))))) (.f64 alphax alphax)) (/.f64 (.f64 (sin.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u0) (.f64 1/2 (PI.f64))))))) (sin.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u0) (.f64 1/2 (PI.f64)))))))) (*.f64 alphay alphay)))) u1) (-.f64 1 u1)))))
(/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (.f64 (/.f64 1 (+.f64 (/.f64 (.f64 (cos.f64 (atan.f64 (.f64 (/.f64 alphay u0) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u1) (.f64 1/2 (PI.f64))))))) (cos.f64 (atan.f64 (.f64 (/.f64 alphay u0) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u1) (.f64 1/2 (PI.f64)))))))) (.f64 u0 u0)) (/.f64 (.f64 (sin.f64 (atan.f64 (.f64 (/.f64 alphay u0) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u1) (.f64 1/2 (PI.f64))))))) (sin.f64 (atan.f64 (.f64 (/.f64 alphay u0) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u1) (.f64 1/2 (PI.f64)))))))) (*.f64 alphay alphay)))) alphax) (-.f64 1 alphax)))))
(/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (.f64 (/.f64 1 (+.f64 (/.f64 (.f64 (cos.f64 (atan.f64 (.f64 (/.f64 u0 alphax) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u1) (.f64 1/2 (PI.f64))))))) (cos.f64 (atan.f64 (.f64 (/.f64 u0 alphax) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u1) (.f64 1/2 (PI.f64)))))))) (.f64 alphax alphax)) (/.f64 (.f64 (sin.f64 (atan.f64 (.f64 (/.f64 u0 alphax) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u1) (.f64 1/2 (PI.f64))))))) (sin.f64 (atan.f64 (.f64 (/.f64 u0 alphax) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u1) (.f64 1/2 (PI.f64)))))))) (*.f64 u0 u0)))) alphay) (-.f64 1 alphay)))))
(/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (.f64 (/.f64 1 (+.f64 (/.f64 (.f64 (cos.f64 (atan.f64 (.f64 (/.f64 alphay u1) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) alphax) (.f64 1/2 (PI.f64))))))) (cos.f64 (atan.f64 (.f64 (/.f64 alphay u1) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) alphax) (.f64 1/2 (PI.f64)))))))) (.f64 u1 u1)) (/.f64 (.f64 (sin.f64 (atan.f64 (.f64 (/.f64 alphay u1) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) alphax) (.f64 1/2 (PI.f64))))))) (sin.f64 (atan.f64 (.f64 (/.f64 alphay u1) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) alphax) (.f64 1/2 (PI.f64)))))))) (*.f64 alphay alphay)))) u0) (-.f64 1 u0)))))
(/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (.f64 (/.f64 1 (+.f64 (/.f64 (.f64 (cos.f64 (atan.f64 (.f64 (/.f64 u1 alphax) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) alphay) (.f64 1/2 (PI.f64))))))) (cos.f64 (atan.f64 (.f64 (/.f64 u1 alphax) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) alphay) (.f64 1/2 (PI.f64)))))))) (.f64 alphax alphax)) (/.f64 (.f64 (sin.f64 (atan.f64 (.f64 (/.f64 u1 alphax) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) alphay) (.f64 1/2 (PI.f64))))))) (sin.f64 (atan.f64 (.f64 (/.f64 u1 alphax) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) alphay) (.f64 1/2 (PI.f64)))))))) (*.f64 u1 u1)))) u0) (-.f64 1 u0)))))
(/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (.f64 (/.f64 1 (+.f64 (/.f64 (.f64 (cos.f64 (atan.f64 (.f64 (/.f64 alphax alphay) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u1) (.f64 1/2 (PI.f64))))))) (cos.f64 (atan.f64 (.f64 (/.f64 alphax alphay) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u1) (.f64 1/2 (PI.f64)))))))) (.f64 alphay alphay)) (/.f64 (.f64 (sin.f64 (atan.f64 (.f64 (/.f64 alphax alphay) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u1) (.f64 1/2 (PI.f64))))))) (sin.f64 (atan.f64 (.f64 (/.f64 alphax alphay) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u1) (.f64 1/2 (PI.f64)))))))) (*.f64 alphax alphax)))) u0) (-.f64 1 u0)))))

Outputs
(/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (.f64 (/.f64 1 (+.f64 (/.f64 (.f64 (cos.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u1) (.f64 1/2 (PI.f64))))))) (cos.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u1) (.f64 1/2 (PI.f64)))))))) (.f64 alphax alphax)) (/.f64 (.f64 (sin.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u1) (.f64 1/2 (PI.f64))))))) (sin.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u1) (.f64 1/2 (PI.f64)))))))) (*.f64 alphay alphay)))) u0) (-.f64 1 u0)))))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (tan.f64 (fma.f64 (.f64 2 (PI.f64)) u1 (.f64 1/2 (PI.f64))))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (tan.f64 (fma.f64 (.f64 2 (PI.f64)) u1 (.f64 1/2 (PI.f64))))))) alphay) 2))) (-.f64 1 u0)))) -1)
(/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (.f64 (/.f64 1 (+.f64 (/.f64 (.f64 (cos.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u0) (.f64 1/2 (PI.f64))))))) (cos.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u0) (.f64 1/2 (PI.f64)))))))) (.f64 alphax alphax)) (/.f64 (.f64 (sin.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u0) (.f64 1/2 (PI.f64))))))) (sin.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u0) (.f64 1/2 (PI.f64)))))))) (*.f64 alphay alphay)))) u1) (-.f64 1 u1)))))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u1 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (tan.f64 (fma.f64 (.f64 2 (PI.f64)) u0 (.f64 1/2 (PI.f64))))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (tan.f64 (fma.f64 (.f64 2 (PI.f64)) u0 (.f64 1/2 (PI.f64))))))) alphay) 2))) (-.f64 1 u1)))) -1)
(/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (.f64 (/.f64 1 (+.f64 (/.f64 (.f64 (cos.f64 (atan.f64 (.f64 (/.f64 alphay u0) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u1) (.f64 1/2 (PI.f64))))))) (cos.f64 (atan.f64 (.f64 (/.f64 alphay u0) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u1) (.f64 1/2 (PI.f64)))))))) (.f64 u0 u0)) (/.f64 (.f64 (sin.f64 (atan.f64 (.f64 (/.f64 alphay u0) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u1) (.f64 1/2 (PI.f64))))))) (sin.f64 (atan.f64 (.f64 (/.f64 alphay u0) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u1) (.f64 1/2 (PI.f64)))))))) (*.f64 alphay alphay)))) alphax) (-.f64 1 alphax)))))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 alphax (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (.f64 (/.f64 alphay u0) (tan.f64 (fma.f64 (.f64 2 (PI.f64)) u1 (.f64 1/2 (PI.f64))))))) u0) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (.f64 (/.f64 alphay u0) (tan.f64 (fma.f64 (.f64 2 (PI.f64)) u1 (.f64 1/2 (PI.f64))))))) alphay) 2))) (-.f64 1 alphax)))) -1)
(/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (.f64 (/.f64 1 (+.f64 (/.f64 (.f64 (cos.f64 (atan.f64 (.f64 (/.f64 u0 alphax) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u1) (.f64 1/2 (PI.f64))))))) (cos.f64 (atan.f64 (.f64 (/.f64 u0 alphax) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u1) (.f64 1/2 (PI.f64)))))))) (.f64 alphax alphax)) (/.f64 (.f64 (sin.f64 (atan.f64 (.f64 (/.f64 u0 alphax) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u1) (.f64 1/2 (PI.f64))))))) (sin.f64 (atan.f64 (.f64 (/.f64 u0 alphax) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u1) (.f64 1/2 (PI.f64)))))))) (*.f64 u0 u0)))) alphay) (-.f64 1 alphay)))))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 alphay (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (.f64 (/.f64 u0 alphax) (tan.f64 (fma.f64 (.f64 2 (PI.f64)) u1 (.f64 1/2 (PI.f64))))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (.f64 (/.f64 u0 alphax) (tan.f64 (fma.f64 (.f64 2 (PI.f64)) u1 (.f64 1/2 (PI.f64))))))) u0) 2))) (-.f64 1 alphay)))) -1)
(/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (.f64 (/.f64 1 (+.f64 (/.f64 (.f64 (cos.f64 (atan.f64 (.f64 (/.f64 alphay u1) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) alphax) (.f64 1/2 (PI.f64))))))) (cos.f64 (atan.f64 (.f64 (/.f64 alphay u1) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) alphax) (.f64 1/2 (PI.f64)))))))) (.f64 u1 u1)) (/.f64 (.f64 (sin.f64 (atan.f64 (.f64 (/.f64 alphay u1) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) alphax) (.f64 1/2 (PI.f64))))))) (sin.f64 (atan.f64 (.f64 (/.f64 alphay u1) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) alphax) (.f64 1/2 (PI.f64)))))))) (*.f64 alphay alphay)))) u0) (-.f64 1 u0)))))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (.f64 (/.f64 alphay u1) (tan.f64 (fma.f64 (.f64 2 (PI.f64)) alphax (.f64 1/2 (PI.f64))))))) u1) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (.f64 (/.f64 alphay u1) (tan.f64 (fma.f64 (.f64 2 (PI.f64)) alphax (.f64 1/2 (PI.f64))))))) alphay) 2))) (-.f64 1 u0)))) -1)
(/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (.f64 (/.f64 1 (+.f64 (/.f64 (.f64 (cos.f64 (atan.f64 (.f64 (/.f64 u1 alphax) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) alphay) (.f64 1/2 (PI.f64))))))) (cos.f64 (atan.f64 (.f64 (/.f64 u1 alphax) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) alphay) (.f64 1/2 (PI.f64)))))))) (.f64 alphax alphax)) (/.f64 (.f64 (sin.f64 (atan.f64 (.f64 (/.f64 u1 alphax) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) alphay) (.f64 1/2 (PI.f64))))))) (sin.f64 (atan.f64 (.f64 (/.f64 u1 alphax) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) alphay) (.f64 1/2 (PI.f64)))))))) (*.f64 u1 u1)))) u0) (-.f64 1 u0)))))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (.f64 (/.f64 u1 alphax) (tan.f64 (fma.f64 (.f64 2 (PI.f64)) alphay (.f64 1/2 (PI.f64))))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (.f64 (/.f64 u1 alphax) (tan.f64 (fma.f64 (.f64 2 (PI.f64)) alphay (.f64 1/2 (PI.f64))))))) u1) 2))) (-.f64 1 u0)))) -1)
(/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (.f64 (/.f64 1 (+.f64 (/.f64 (.f64 (cos.f64 (atan.f64 (.f64 (/.f64 alphax alphay) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u1) (.f64 1/2 (PI.f64))))))) (cos.f64 (atan.f64 (.f64 (/.f64 alphax alphay) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u1) (.f64 1/2 (PI.f64)))))))) (.f64 alphay alphay)) (/.f64 (.f64 (sin.f64 (atan.f64 (.f64 (/.f64 alphax alphay) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u1) (.f64 1/2 (PI.f64))))))) (sin.f64 (atan.f64 (.f64 (/.f64 alphax alphay) (tan.f64 (+.f64 (.f64 (.f64 2 (PI.f64)) u1) (.f64 1/2 (PI.f64)))))))) (*.f64 alphax alphax)))) u0) (-.f64 1 u0)))))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (.f64 (/.f64 alphax alphay) (tan.f64 (fma.f64 (.f64 2 (PI.f64)) u1 (.f64 1/2 (PI.f64))))))) alphay) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (.f64 (/.f64 alphax alphay) (tan.f64 (fma.f64 (.f64 2 (PI.f64)) u1 (.f64 1/2 (PI.f64))))))) alphax) 2))) (-.f64 1 u0)))) -1)

Compiler

Compiled 96 to 68 computations (29.2% saved)

simplify1.5s (1%)

Algorithm

1×

egglog

Counts

1 → 2

Calls

Call 1

Inputs

(/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (*.f64 (/.f64 1 (+.f64 (/.f64 (*.f64 (cos.f64 (atan.f64 (*.f64 (/.f64 alphay alphax) (tan.f64 (+.f64 (*.f64 (*.f64 2 (PI.f64)) u1) (*.f64 1/2 (PI.f64))))))) (cos.f64 (atan.f64 (*.f64 (/.f64 alphay alphax) (tan.f64 (+.f64 (*.f64 (*.f64 2 (PI.f64)) u1) (*.f64 1/2 (PI.f64)))))))) (*.f64 alphax alphax)) (/.f64 (*.f64 (sin.f64 (atan.f64 (*.f64 (/.f64 alphay alphax) (tan.f64 (+.f64 (*.f64 (*.f64 2 (PI.f64)) u1) (*.f64 1/2 (PI.f64))))))) (sin.f64 (atan.f64 (*.f64 (/.f64 alphay alphax) (tan.f64 (+.f64 (*.f64 (*.f64 2 (PI.f64)) u1) (*.f64 1/2 (PI.f64)))))))) (*.f64 alphay alphay)))) u0) (-.f64 1 u0)))))

Outputs

(/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (*.f64 (/.f64 1 (+.f64 (/.f64 (*.f64 (cos.f64 (atan.f64 (*.f64 (/.f64 alphay alphax) (tan.f64 (+.f64 (*.f64 (*.f64 2 (PI.f64)) u1) (*.f64 1/2 (PI.f64))))))) (cos.f64 (atan.f64 (*.f64 (/.f64 alphay alphax) (tan.f64 (+.f64 (*.f64 (*.f64 2 (PI.f64)) u1) (*.f64 1/2 (PI.f64)))))))) (*.f64 alphax alphax)) (/.f64 (*.f64 (sin.f64 (atan.f64 (*.f64 (/.f64 alphay alphax) (tan.f64 (+.f64 (*.f64 (*.f64 2 (PI.f64)) u1) (*.f64 1/2 (PI.f64))))))) (sin.f64 (atan.f64 (*.f64 (/.f64 alphay alphax) (tan.f64 (+.f64 (*.f64 (*.f64 2 (PI.f64)) u1) (*.f64 1/2 (PI.f64)))))))) (*.f64 alphay alphay)))) u0) (-.f64 1 u0)))))

(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (*.f64 (/.f64 alphay alphax) (/.f64 -1 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (*.f64 (/.f64 alphay alphax) (/.f64 -1 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))) (-.f64 1 u0)))) -1)

eval3.0ms (0%)

Compiler: Compiled 140 to 93 computations (33.6% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.5b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (/.f64 -1 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (/.f64 -1 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))) (-.f64 1 u0)))) -1)

Status

Error

Program

▶

0.5b

(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (*.f64 (/.f64 alphay alphax) (/.f64 -1 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (*.f64 (/.f64 alphay alphax) (/.f64 -1 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))) (-.f64 1 u0)))) -1)

Compiler

Compiled 52 to 35 computations (32.7% saved)

localize145.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (/.f64 -1 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (/.f64 -1 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))) (-.f64 1 u0)))) -1)
✓	0.5b	(pow.f64 (/.f64 (sin.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (/.f64 -1 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)
✓	0.5b	(pow.f64 (/.f64 (cos.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (/.f64 -1 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2)
✓	12.4b	(cos.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (/.f64 -1 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))

Compiler

Compiled 419 to 190 computations (54.7% saved)

series1.0s (0.7%)

Counts

4 → 75

Calls

39 calls:

Time	Variable		Point	Expression
15.0ms	alphax	@	-inf	(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (/.f64 -1 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (/.f64 -1 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))) (-.f64 1 u0)))) -1)
10.0ms	u0	@	inf	(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (/.f64 -1 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (/.f64 -1 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))) (-.f64 1 u0)))) -1)
9.0ms	alphay	@	-inf	(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (/.f64 -1 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (/.f64 -1 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))) (-.f64 1 u0)))) -1)
9.0ms	alphax	@	inf	(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (/.f64 -1 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (/.f64 -1 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))) (-.f64 1 u0)))) -1)
9.0ms	alphay	@	inf	(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (/.f64 -1 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (/.f64 -1 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))) (-.f64 1 u0)))) -1)

Compiler

Compiled 95275 to 70570 computations (25.9% saved)

rewrite1.6s (1%)

Algorithm

1×	batch-egg-rewrite

Rules

44×	`egg-rr`
41×	`egg-rr`
40×	`egg-rr`
24×	`egg-rr`

Counts

4 → 149

Calls

Call 1

Inputs
(cos.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (/.f64 -1 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (/.f64 -1 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2)
(pow.f64 (/.f64 (sin.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (/.f64 -1 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (/.f64 -1 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (.f64 (/.f64 alphay alphax) (/.f64 -1 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))) (-.f64 1 u0)))) -1)

Outputs
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u1)) (neg.f64 alphax))))) alphay) 2))))) 3) 0) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) 3) (neg.f64 1/3)) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -1))))))

simplify4.9s (3.3%)

Algorithm

1×

egglog

Counts

224 → 185

Calls

Call 1

Inputs
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax -2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax -2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax -2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax -2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 (/.f64 1 alphax) 2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 (/.f64 1 alphax) 2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 (/.f64 1 alphax) 2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 (/.f64 1 alphax) 2))
(.f64 (pow.f64 (/.f64 -1 alphax) 2) (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 (/.f64 -1 alphax) 2) (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 (/.f64 -1 alphax) 2) (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 (/.f64 -1 alphax) 2) (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(.f64 (pow.f64 alphay -2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 alphay -2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 alphay -2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 alphay -2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 (/.f64 1 alphay) 2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 (/.f64 1 alphay) 2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 (/.f64 1 alphay) 2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 (/.f64 1 alphay) 2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 (/.f64 -1 alphay) 2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 (/.f64 -1 alphay) 2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 (/.f64 -1 alphay) 2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 (/.f64 -1 alphay) 2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphay 2))
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(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -1) 1)
(pow.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2)))))) -1) 2)
(pow.f64 (/.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))))) 2)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -1)
(cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) 3)))
(neg.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2)))))))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -1) -1))
(neg.f64 (.f64 1 (/.f64 -1 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))))))
(if (!=.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -1) 0) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -1)) -1) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -1))
(if (!=.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2)))) 0) (pow.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2)))) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -1))
(if (!=.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) 0) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -1))
(if (!=.f64 -1 0) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -1))
(if (!=.f64 1 0) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -1))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2)))))) 0) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2)))))) -2) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -1))
(if (!=.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2)))))) 0) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2)))))) (neg.f64 3)) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -1))
(if (!=.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) 3) 0) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) 3) (neg.f64 1/3)) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -1))

Outputs
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax -2))
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(if (!=.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2)))))) 0) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2)))))) -2) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -1))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) 0) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1))
(if (!=.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2)))))) 0) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2)))))) (neg.f64 3)) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -1))
(if (!=.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) 0) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) -3) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1))
(if (!=.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) 3) 0) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) 3) (neg.f64 1/3)) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -1))
(if (!=.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) 3) 0) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) 3) -1/3) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1))

eval143.0ms (0.1%)

Compiler: Compiled 12528 to 4732 computations (62.2% saved)

prune58.0ms (0%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	173	12	185
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	174	12	186

Error

0.0b

Counts

186 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(if (!=.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))) 0) (pow.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1))
	1.7b	(if (!=.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) 0) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) -3) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1))
	0.5b	(pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) 3)) 1/3)
▶	1.1b	(pow.f64 (/.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))))) 2)
▶	1.3b	(pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -1)) 3)
	1.0b	(/.f64 (/.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))))) (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))))))
	1.0b	(/.f64 (/.f64 -1 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))))) (neg.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) 2))))
	0.9b	(/.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -1)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) 2)))
▶	0.9b	(/.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -2)) (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2)))))))
▶	0.5b	(/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))))
	0.7b	(cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) 3)))
	23.5b	1

Compiler

Compiled 1891 to 939 computations (50.3% saved)

localize111.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1)
✓	0.5b	(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
✓	0.5b	(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
✓	12.4b	(cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))

Compiler

Compiled 591 to 148 computations (75% saved)

series956.0ms (0.6%)

Counts

4 → 75

Calls

39 calls:

Time	Variable		Point	Expression
4.0ms	alphax	@	inf	(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1)
3.0ms	u0	@	inf	(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1)
3.0ms	u0	@	-inf	(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1)
2.0ms	alphay	@	-inf	(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1)
2.0ms	alphax	@	-inf	(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1)

Compiler

Compiled 95275 to 70570 computations (25.9% saved)

rewrite1.6s (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

42×	`egg-rr`
41×	`egg-rr`
38×	`egg-rr`
20×	`egg-rr`

Counts

4 → 141

Calls

Call 1

Inputs
(cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (neg.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))))) (neg.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cbrt.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))))) (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cbrt.f64 (neg.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))))) (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))) (cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) 2)) (cbrt.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) 0) (/.f64 1 (pow.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) -1)) (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))))))))
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alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2) (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2))))))) (neg.f64 3)) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2) (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2)))))) -1))))))

simplify5.1s (3.4%)

Algorithm

1×

egglog

Counts

216 → 175

Calls

Call 1

Inputs
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax -2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax -2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax -2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax -2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 (/.f64 1 alphax) 2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 (/.f64 1 alphax) 2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 (/.f64 1 alphax) 2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 (/.f64 1 alphax) 2))
(.f64 (pow.f64 (/.f64 -1 alphax) 2) (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 (/.f64 -1 alphax) 2) (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 (/.f64 -1 alphax) 2) (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 (/.f64 -1 alphax) 2) (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(.f64 (pow.f64 alphay -2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 alphay -2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 alphay -2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 alphay -2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 (/.f64 1 alphay) 2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 (/.f64 1 alphay) 2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 (/.f64 1 alphay) 2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 (/.f64 1 alphay) 2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 (/.f64 -1 alphay) 2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 (/.f64 -1 alphay) 2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 (/.f64 -1 alphay) 2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 (/.f64 -1 alphay) 2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphay 2))
1
1
1
(cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))
(.f64 1 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))))
(.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) 1)
(.f64 (cbrt.f64 (neg.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))))) (neg.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))))) 2)))
(.f64 (neg.f64 (cbrt.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))))) (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) 2))))
(.f64 (neg.f64 (cbrt.f64 (neg.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))))) (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))))) 2))
(.f64 (cbrt.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))) (cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) 2)))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) 2)) (cbrt.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))))
(.f64 -1 (neg.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))))
(-.f64 0 (neg.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))))
(/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) 1)
(/.f64 (neg.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))) -1)
(pow.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) 1)
(pow.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) 3) 1/3)
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(if (!=.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2) (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2)))))) 3) 0) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2) (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2)))))) 3) (neg.f64 1/3)) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2) (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2)))))) -1))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2) (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2))))))) 0) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2) (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2))))))) -2) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2) (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2)))))) -1))
(if (!=.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2) (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2))))))) 0) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2) (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2))))))) (neg.f64 3)) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2) (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2)))))) -1))

Outputs
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax -2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) 2) (pow.f64 alphax -2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax -2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) 2) (pow.f64 alphax -2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax -2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) 2) (pow.f64 alphax -2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax -2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) 2) (pow.f64 alphax -2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 (/.f64 1 alphax) 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 (/.f64 1 alphax) 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 (/.f64 1 alphax) 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 (/.f64 1 alphax) 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(.f64 (pow.f64 (/.f64 -1 alphax) 2) (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(.f64 (pow.f64 (/.f64 -1 alphax) 2) (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(.f64 (pow.f64 (/.f64 -1 alphax) 2) (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(.f64 (pow.f64 (/.f64 -1 alphax) 2) (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
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1
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(if (!=.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2) (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)))))) -1) 0) (/.f64 -1 (/.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2) (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)))))) -1))) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2) (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)))))) -1))
(if (!=.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2) (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2)))))) 3) 0) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2) (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2)))))) 3) (neg.f64 1/3)) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2) (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2)))))) -1))
(if (!=.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2) (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)))))) 3) 0) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2) (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)))))) 3) -1/3) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2) (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)))))) -1))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2) (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2))))))) 0) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2) (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2))))))) -2) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2) (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2)))))) -1))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2) (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2))))))) 0) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2) (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)))))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2) (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)))))) -1))
(if (!=.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2) (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2))))))) 0) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2) (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2))))))) (neg.f64 3)) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2) (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2)))))) -1))
(if (!=.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2) (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2))))))) 0) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2) (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2))))))) -3) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2) (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)))))) -1))

localize74.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))))
✓	0.5b	(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2)
✓	0.5b	(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2)
✓	12.4b	(cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax)))))

Compiler

Compiled 366 to 78 computations (78.7% saved)

series1.3s (0.9%)

Counts

4 → 75

Calls

39 calls:

Time	Variable		Point	Expression
5.0ms	u0	@	-inf	(/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))))
4.0ms	alphax	@	inf	(/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))))
3.0ms	u0	@	inf	(/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))))
2.0ms	alphax	@	-inf	(/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))))
2.0ms	alphay	@	inf	(/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))))

Compiler

Compiled 95275 to 70570 computations (25.9% saved)

rewrite1.5s (1%)

Algorithm

1×	batch-egg-rewrite

Rules

40×	`egg-rr`
40×	`egg-rr`
40×	`egg-rr`
23×	`egg-rr`

Counts

4 → 143

Calls

Call 1

Inputs
(cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax)))))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2)
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2)
(/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))))

Outputs
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simplify5.3s (3.5%)

Algorithm

1×

egglog

Counts

218 → 180

Calls

Call 1

Inputs
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
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(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3) -1) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) -1)) 3)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) -1) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) -1)
(pow.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2)))))) -1) 2)
(cbrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3) -1))
(neg.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2)))))))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) -1) -1))
(neg.f64 (.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) -1)))
(neg.f64 (.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2)))))) 1))
(if (!=.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 0) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) -1))
(if (!=.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2)))) 0) (pow.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2)))) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) -1))
(if (!=.f64 1 0) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) -1))
(if (!=.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) -1) 0) (/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) -1) -1)) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) -1))
(if (!=.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3) 0) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3) (neg.f64 1/3)) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) -1))
(if (!=.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2)))))) 0) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2)))))) (neg.f64 3)) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) -1))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2)))))) 0) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2)))))) -2) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) -1))

Outputs
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))) alphax))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))) alphax))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))) alphax))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))) alphax))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))) alphax))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))) alphax))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))) alphax))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))) alphax))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))) alphax))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))) alphax))) alphax) 2)
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(if (!=.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2)))) 0) (pow.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2)))) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) -1))
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(if (!=.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) alphax))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) alphax))) alphay) 2))))) 3) 0) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) alphax))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) alphax))) alphay) 2))))) 3) -1/3) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) alphax))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) alphax))) alphay) 2))))) -1))
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(if (!=.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) alphax))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) alphax))) alphay) 2)))))) 0) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) alphax))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) alphax))) alphay) 2))))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) alphax))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) alphax))) alphay) 2))))) -1))

localize82.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2)
✓	0.5b	(pow.f64 (/.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))))) 2)
	0.5b	(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2)
	12.4b	(cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax)))))

Compiler

Compiled 462 to 110 computations (76.2% saved)

series1.6s (1.1%)

Counts

1 → 3

Calls

12 calls:

Time	Variable		Point	Expression
26.0ms	u0	@	inf	(pow.f64 (/.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))))) 2)
21.0ms	u0	@	-inf	(pow.f64 (/.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))))) 2)
18.0ms	alphax	@	-inf	(pow.f64 (/.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))))) 2)
15.0ms	alphay	@	inf	(pow.f64 (/.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))))) 2)
15.0ms	alphax	@	inf	(pow.f64 (/.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))))) 2)

Compiler

Compiled 142595 to 106990 computations (25% saved)

rewrite1.5s (1%)

Algorithm

1×	batch-egg-rewrite

Rules

37× egg-rr

Counts

1 → 37

Calls

Call 1

Inputs
(pow.f64 (/.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))))) 2)

Inputs

(pow.f64 (/.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (*.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (*.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))))) 2)

Outputs
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Outputs

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simplify2.0s (1.3%)

Algorithm

1×

egglog

Counts

40 → 46

Calls

Call 1

Inputs
1
1
1
(.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)) (-.f64 1 u0))))) -1))
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(if (!=.f64 (+.f64 1 (/.f64 u0 (.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)) (-.f64 1 u0)))) 0) (pow.f64 (+.f64 1 (/.f64 u0 (.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)) (-.f64 1 u0)))) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)) (-.f64 1 u0))))) -1))
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Outputs
1
1
1
(.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)) (-.f64 1 u0))))) -1))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1)
(.f64 -1 (/.f64 -1 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)) (-.f64 1 u0)))))))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1)
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(if (!=.f64 (+.f64 1 (/.f64 u0 (.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)) (-.f64 1 u0)))) 0) (pow.f64 (+.f64 1 (/.f64 u0 (.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)) (-.f64 1 u0)))) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)) (-.f64 1 u0))))) -1))
(if (!=.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)))) 0) (pow.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)))) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1))
(if (!=.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)) (-.f64 1 u0))))) 3) 0) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)) (-.f64 1 u0))))) 3) (neg.f64 1/3)) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)) (-.f64 1 u0))))) -1))
(if (!=.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) 3) 0) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) 3) -1/3) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)) (-.f64 1 u0)))))) 0) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)) (-.f64 1 u0))))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)) (-.f64 1 u0))))) -1))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)))))) 0) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1))

localize96.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -1))
	0.5b	(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2)
✓	0.6b	(pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -1)) 3)
	12.4b	(cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax)))))

Compiler

Compiled 464 to 112 computations (75.9% saved)

series7.1s (4.8%)

Counts

2 → 6

Calls

24 calls:

Time	Variable		Point	Expression
83.0ms	u0	@	inf	(pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -1)) 3)
77.0ms	u0	@	-inf	(pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -1)) 3)
53.0ms	alphay	@	0	(pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -1)) 3)
35.0ms	alphax	@	inf	(pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -1)) 3)
32.0ms	alphay	@	inf	(pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -1)) 3)

Compiler

Compiled 576720 to 435675 computations (24.5% saved)

rewrite1.5s (1%)

Algorithm

1×	batch-egg-rewrite

Rules

46×	`egg-rr`
25×	`egg-rr`

Counts

2 → 71

Calls

Call 1

Inputs

(pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (*.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (*.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -1)) 3)

(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (*.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (*.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -1))

Outputs

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simplify2.5s (1.7%)

Algorithm

1×

egglog

Counts

77 → 85

Calls

Call 1

Inputs
1
1
1
1
1
1
(.f64 (/.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))))) (/.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))))))
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(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1))) 3)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)))))) -1)
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1))
(neg.f64 (/.f64 -1 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))))))
(neg.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1)) -1))
(neg.f64 (.f64 1 (/.f64 -1 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)))))))))
(if (!=.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1)) 0) (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1)) -1)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1)))
(if (!=.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) 0) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1/3) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1)))
(if (!=.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)))))) 0) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1)))

Outputs
1
1
1
1
1
1
(.f64 (/.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))))) (/.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))))))
(/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)))))) -1) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)))))) -1))
(/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))))
(.f64 (/.f64 -1 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))))) (/.f64 -1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) 2))))
(/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))))
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1)) (/.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) 2))))
(/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))))
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(/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))))
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(/.f64 -1 (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))))))
(cbrt.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1) 1/3)
(cbrt.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))))
(pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1)) 1)
(cbrt.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))))
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1))) 3)
(cbrt.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)))))) -1)
(cbrt.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1))
(cbrt.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))))
(neg.f64 (/.f64 -1 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))))))
(cbrt.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))))
(neg.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1)) -1))
(cbrt.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))))
(neg.f64 (.f64 1 (/.f64 -1 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)))))))))
(cbrt.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))))
(if (!=.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1)) 0) (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1)) -1)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1)))
(if (!=.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))))) 0) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) -1) -1)) (cbrt.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))))))
(if (!=.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) 0) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1/3) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1)))
(if (!=.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) 0) (pow.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1/3) (cbrt.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))))))
(if (!=.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)))))) 0) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1)))
(if (!=.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) 0) (cbrt.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))))) (cbrt.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))))))

localize104.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2)
✓	0.6b	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -2))
✓	0.9b	(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -2)
	12.4b	(cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax)))))

Compiler

Compiled 552 to 136 computations (75.4% saved)

series3.2s (2.1%)

Counts

2 → 6

Calls

24 calls:

Time	Variable		Point	Expression
25.0ms	alphax	@	0	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -2))
19.0ms	u0	@	inf	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -2))
15.0ms	alphay	@	inf	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -2))
15.0ms	u0	@	-inf	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -2))
14.0ms	alphax	@	inf	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -2))

Compiler

Compiled 275555 to 207945 computations (24.5% saved)

rewrite1.5s (1%)

Algorithm

1×	batch-egg-rewrite

Rules

12×	`egg-rr`
9×	`egg-rr`

Counts

2 → 21

Calls

Call 1

Inputs

(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (*.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (*.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -2)

(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (*.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (*.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) (*.f64 2 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2))) 2) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) (*.f64 2 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) (*.f64 2 -2))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) 2)) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2))))))

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2))))))

simplify1.8s (1.2%)

Algorithm

1×

egglog

Counts

27 → 25

Calls

Call 1

Inputs
1
1
1
1
1
1
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) (.f64 2 -2))))
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(/.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2) 1)
(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2) 3) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2)) 3)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2) 1)
(cbrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2) 3))
(if (!=.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) 2)) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2))))
(.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2)))
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2)) 1)
(/.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2)) 1)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2) 1/3)
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2))) 3)
(pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2)) 1)
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2))

Outputs
1
1
1
1
1
1
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) (.f64 2 -2))))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2)
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2))) 2) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) (*.f64 2 -2)))))
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(.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2))
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(pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2)) 1)
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2))

eval1.0s (0.7%)

Compiler: Compiled 119530 to 37437 computations (68.7% saved)

prune319.0ms (0.2%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	1113	9	1122
Fresh	4	3	7
Picked	0	1	1
Done	3	1	4
Total	1120	14	1134

Error

Counts

1134 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(if (!=.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))) 0) (pow.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))) -1/2) 1)
	1.7b	(if (!=.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) 0) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) -3) (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))))
▶	0.7b	(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1) 1/3) 3)
	0.6b	(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)) (-.f64 1 u0))))) -1/2) 2)
▶	0.5b	(pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) 3)) 1/3)
▶	1.0b	(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)) (-.f64 1 u0)))))) -2)
	1.3b	(pow.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))))) 3)
	0.9b	(/.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2)))))))
	0.9b	(/.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) -1)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 2)))
✓	0.9b	(/.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -2)) (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2)))))))
✓	0.5b	(/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))))
	0.7b	(cbrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)) (-.f64 1 u0))))) -1) 3))
▶	0.7b	(cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) 3)))
	23.5b	1

Compiler

Compiled 1768 to 950 computations (46.3% saved)

localize88.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))
	0.5b	(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
	0.5b	(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
	12.4b	(cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))

Compiler

Compiled 455 to 108 computations (76.3% saved)

series53.0ms (0%)

Counts

1 → 4

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	u1	@	0	(/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))
3.0ms	alphay	@	0	(/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))
2.0ms	alphax	@	0	(/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))
1.0ms	u1	@	inf	(/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))
1.0ms	u1	@	-inf	(/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))

Compiler

Compiled 6055 to 4075 computations (32.7% saved)

rewrite2.3s (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

126× egg-rr

Counts

1 → 126

Calls

Call 1

Inputs
(/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 alphay alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 alphay alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))) 2)) (cbrt.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (cbrt.f64 alphay)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))) (/.f64 (cbrt.f64 (pow.f64 alphay 2)) alphax))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 alphay (/.f64 1 (*.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 alphay 2)) alphax) (/.f64 (neg.f64 (cbrt.f64 alphay)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (neg.f64 alphay) alphax)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 alphay alphax) 2)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 alphay alphax) 2)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))) (cbrt.f64 (/.f64 (neg.f64 alphay) alphax)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 alphay) (/.f64 (pow.f64 alphax -1) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))) (/.f64 (neg.f64 alphay) (*.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) 2)) alphax)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (cbrt.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))) (/.f64 1 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) 2))))))) (#(struct:change 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alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (neg.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))) (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))) 0)))))

simplify4.5s (3%)

Algorithm

1×

egglog

Counts

130 → 162

Calls

Call 1

Inputs
(.f64 -1/2 (/.f64 alphay (.f64 alphax (*.f64 (PI.f64) u1))))
(+.f64 (.f64 1/4 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (.f64 2 (PI.f64)) 3)) (.f64 -1 (.f64 (pow.f64 (.f64 2 (PI.f64)) 2) (PI.f64)))) (.f64 alphay u1)) (.f64 (pow.f64 (PI.f64) 2) alphax))) (.f64 -1/2 (/.f64 alphay (.f64 alphax (.f64 (PI.f64) u1)))))
(+.f64 (.f64 1/4 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (.f64 2 (PI.f64)) 3)) (.f64 -1 (.f64 (pow.f64 (.f64 2 (PI.f64)) 2) (PI.f64)))) (.f64 alphay u1)) (.f64 (pow.f64 (PI.f64) 2) alphax))) (+.f64 (.f64 -1/2 (/.f64 alphay (.f64 alphax (.f64 (PI.f64) u1)))) (.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 alphay (-.f64 (.f64 1/120 (pow.f64 (.f64 2 (PI.f64)) 5)) (+.f64 (.f64 1/12 (.f64 (pow.f64 (.f64 2 (PI.f64)) 4) (PI.f64))) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (.f64 2 (PI.f64)) 3)) (.f64 -1 (.f64 (pow.f64 (.f64 2 (PI.f64)) 2) (PI.f64)))) (pow.f64 (.f64 2 (PI.f64)) 2)))))) (.f64 (pow.f64 (PI.f64) 2) alphax))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 -1/6 (pow.f64 (.f64 2 (PI.f64)) 3)) (.f64 -1 (.f64 (pow.f64 (.f64 2 (PI.f64)) 2) (PI.f64)))) 2) alphay) (.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) alphax))))) (pow.f64 u1 3))))
(+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (.f64 2 (PI.f64)) 7)) (+.f64 (.f64 1/24 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (.f64 2 (PI.f64)) 3)) (.f64 -1 (.f64 (pow.f64 (.f64 2 (PI.f64)) 2) (PI.f64)))) (pow.f64 (.f64 2 (PI.f64)) 4))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 2 (PI.f64)) 2) (-.f64 (.f64 1/120 (pow.f64 (.f64 2 (PI.f64)) 5)) (+.f64 (.f64 1/12 (.f64 (pow.f64 (.f64 2 (PI.f64)) 4) (PI.f64))) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (.f64 2 (PI.f64)) 3)) (.f64 -1 (.f64 (pow.f64 (.f64 2 (PI.f64)) 2) (PI.f64)))) (pow.f64 (.f64 2 (PI.f64)) 2))))))) (.f64 -1/360 (.f64 (pow.f64 (.f64 2 (PI.f64)) 6) (PI.f64)))))) alphay) (.f64 (pow.f64 (PI.f64) 2) alphax))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (.f64 2 (PI.f64)) 3)) (.f64 -1 (.f64 (pow.f64 (.f64 2 (PI.f64)) 2) (PI.f64)))) (+.f64 (.f64 1/4 (/.f64 (.f64 alphay (-.f64 (.f64 1/120 (pow.f64 (.f64 2 (PI.f64)) 5)) (+.f64 (.f64 1/12 (.f64 (pow.f64 (.f64 2 (PI.f64)) 4) (PI.f64))) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (.f64 2 (PI.f64)) 3)) (.f64 -1 (.f64 (pow.f64 (.f64 2 (PI.f64)) 2) (PI.f64)))) (pow.f64 (.f64 2 (PI.f64)) 2)))))) (.f64 (pow.f64 (PI.f64) 2) alphax))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 -1/6 (pow.f64 (.f64 2 (PI.f64)) 3)) (.f64 -1 (.f64 (pow.f64 (.f64 2 (PI.f64)) 2) (PI.f64)))) 2) alphay) (.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) alphax)))))) (PI.f64))) (.f64 -1/8 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (.f64 2 (PI.f64)) 3)) (.f64 -1 (.f64 (pow.f64 (.f64 2 (PI.f64)) 2) (PI.f64)))) (.f64 alphay (-.f64 (.f64 1/120 (pow.f64 (.f64 2 (PI.f64)) 5)) (+.f64 (.f64 1/12 (.f64 (pow.f64 (.f64 2 (PI.f64)) 4) (PI.f64))) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (.f64 2 (PI.f64)) 3)) (.f64 -1 (.f64 (pow.f64 (.f64 2 (PI.f64)) 2) (PI.f64)))) (pow.f64 (.f64 2 (PI.f64)) 2))))))) (.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) alphax)))))) (pow.f64 u1 5)) (+.f64 (.f64 1/4 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (.f64 2 (PI.f64)) 3)) (.f64 -1 (.f64 (pow.f64 (.f64 2 (PI.f64)) 2) (PI.f64)))) (.f64 alphay u1)) (.f64 (pow.f64 (PI.f64) 2) alphax))) (+.f64 (.f64 -1/2 (/.f64 alphay (.f64 alphax (.f64 (PI.f64) u1)))) (.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 alphay (-.f64 (.f64 1/120 (pow.f64 (.f64 2 (PI.f64)) 5)) (+.f64 (.f64 1/12 (.f64 (pow.f64 (.f64 2 (PI.f64)) 4) (PI.f64))) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (.f64 2 (PI.f64)) 3)) (.f64 -1 (.f64 (pow.f64 (.f64 2 (PI.f64)) 2) (PI.f64)))) (pow.f64 (.f64 2 (PI.f64)) 2)))))) (.f64 (pow.f64 (PI.f64) 2) alphax))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 -1/6 (pow.f64 (.f64 2 (PI.f64)) 3)) (.f64 -1 (.f64 (pow.f64 (.f64 2 (PI.f64)) 2) (PI.f64)))) 2) alphay) (.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) alphax))))) (pow.f64 u1 3)))))
(.f64 (cbrt.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 alphay alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 alphay alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) 2)) (cbrt.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))
(.f64 (/.f64 (neg.f64 (cbrt.f64 alphay)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) (/.f64 (cbrt.f64 (pow.f64 alphay 2)) alphax))
(.f64 alphay (/.f64 1 (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 alphay 2)) alphax) (/.f64 (neg.f64 (cbrt.f64 alphay)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))
(.f64 (cbrt.f64 (/.f64 (neg.f64 alphay) alphax)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 alphay alphax) 2)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 alphay alphax) 2)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) (cbrt.f64 (/.f64 (neg.f64 alphay) alphax)))
(.f64 (neg.f64 alphay) (/.f64 (pow.f64 alphax -1) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))
(.f64 (cbrt.f64 (/.f64 1 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))) (/.f64 (neg.f64 alphay) (.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) 2)) alphax)))
(.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (cbrt.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))) (/.f64 1 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) 2))))
(.f64 (/.f64 (pow.f64 alphax -1) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) (neg.f64 alphay))
(.f64 (/.f64 (neg.f64 alphay) (.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) 2)) alphax)) (cbrt.f64 (/.f64 1 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))
(.f64 (/.f64 alphay alphax) (/.f64 -1 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))
(.f64 (/.f64 alphay (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) (/.f64 -1 alphax))
(.f64 (/.f64 1 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) (/.f64 (neg.f64 alphay) alphax))
(.f64 (/.f64 -1 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) (/.f64 alphay alphax))
(.f64 (/.f64 (neg.f64 alphay) alphax) (/.f64 1 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))
(.f64 (/.f64 (neg.f64 alphay) (cbrt.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))) (/.f64 (pow.f64 alphax -1) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) 2))))
(.f64 (/.f64 (neg.f64 alphay) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) (pow.f64 alphax -1))
(.f64 (/.f64 (pow.f64 alphax -1) (cbrt.f64 (pow.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) 2))) (/.f64 (neg.f64 alphay) (cbrt.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))
(.f64 -1 (/.f64 (/.f64 alphay alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))
(.f64 1 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))
(.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) 1)
(-.f64 (/.f64 0 (neg.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))) (/.f64 (/.f64 alphay alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))
(-.f64 0 (/.f64 (/.f64 alphay alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))
(/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))
(/.f64 (.f64 (neg.f64 (cbrt.f64 alphay)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 alphay alphax) 2)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))) (cbrt.f64 alphax))
(/.f64 (.f64 (cbrt.f64 alphay) (/.f64 (cbrt.f64 (pow.f64 (/.f64 alphay alphax) 2)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))) (neg.f64 (cbrt.f64 alphax)))
(/.f64 (/.f64 alphay (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))) (neg.f64 alphax))
(/.f64 (.f64 (neg.f64 (cbrt.f64 alphay)) (cbrt.f64 (pow.f64 (/.f64 (/.f64 alphay alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) 2))) (cbrt.f64 (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))
(/.f64 (.f64 (cbrt.f64 (/.f64 (neg.f64 alphay) alphax)) (cbrt.f64 (pow.f64 (/.f64 (/.f64 alphay alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) 2))) (cbrt.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))
(/.f64 (.f64 (cbrt.f64 (/.f64 alphay alphax)) (cbrt.f64 (pow.f64 (/.f64 (/.f64 alphay alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) 2))) (neg.f64 (cbrt.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))
(/.f64 (/.f64 (neg.f64 alphay) (.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) 2)) alphax)) (cbrt.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))
(/.f64 (.f64 (/.f64 -1 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) (neg.f64 alphay)) (neg.f64 alphax))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 alphay alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) 2)) (neg.f64 (cbrt.f64 alphay))) (cbrt.f64 (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 alphay alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) 2)) (cbrt.f64 (/.f64 (neg.f64 alphay) alphax))) (cbrt.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 alphay alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) 2)) (cbrt.f64 (/.f64 alphay alphax))) (neg.f64 (cbrt.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))
(/.f64 (.f64 (neg.f64 (cbrt.f64 alphay)) (cbrt.f64 (pow.f64 (/.f64 alphay alphax) 2))) (.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) 2))))
(/.f64 (/.f64 (/.f64 alphay (neg.f64 (cbrt.f64 alphax))) -1) (.f64 (cbrt.f64 (pow.f64 alphax 2)) (neg.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))
(/.f64 (/.f64 (/.f64 alphay (neg.f64 (cbrt.f64 alphax))) (cbrt.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))) (.f64 (cbrt.f64 (pow.f64 alphax 2)) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) 2))))
(/.f64 (/.f64 alphay (cbrt.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))) (.f64 (neg.f64 alphax) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) 2))))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))) (neg.f64 alphay)) (.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) 2)) alphax))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))) (/.f64 alphay (neg.f64 (cbrt.f64 alphax)))) (.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) 2)) (cbrt.f64 (pow.f64 alphax 2))))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))) alphay) (.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) 2)) (neg.f64 alphax)))
(/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))
(/.f64 (/.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (cbrt.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))) (cbrt.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) 2)) 2)))
(/.f64 (/.f64 (/.f64 (neg.f64 alphay) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))) (cbrt.f64 (pow.f64 alphax 2))) (cbrt.f64 alphax))
(/.f64 (/.f64 (/.f64 alphay (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))) (cbrt.f64 alphax)) (neg.f64 (cbrt.f64 (pow.f64 alphax 2))))
(/.f64 (/.f64 (neg.f64 alphay) (cbrt.f64 (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax))) (cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax) 2)))
(/.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (sin.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) (/.f64 1 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))
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(if (!=.f64 (+.f64 (.f64 (/.f64 0 (neg.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))) (/.f64 0 (neg.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) (+.f64 (pow.f64 (/.f64 (/.f64 alphay alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) 2) (.f64 (/.f64 0 (neg.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))) (/.f64 (/.f64 alphay alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))) 3) (pow.f64 (/.f64 (/.f64 alphay alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) 3)) (+.f64 (.f64 (/.f64 0 (neg.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))) (/.f64 0 (neg.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) (+.f64 (pow.f64 (/.f64 (/.f64 alphay alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) 2) (.f64 (/.f64 0 (neg.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))) (/.f64 (/.f64 alphay alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))) (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))
(if (!=.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) 0) (/.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) 3) (+.f64 0 (-.f64 (pow.f64 (/.f64 (/.f64 alphay alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) 2) (.f64 0 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))) (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))
(if (!=.f64 (/.f64 0 (neg.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))) 3) (pow.f64 (/.f64 (/.f64 alphay alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) 3)) (+.f64 (.f64 (/.f64 0 (neg.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))) (/.f64 0 (neg.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) (+.f64 (pow.f64 (/.f64 (/.f64 alphay alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) 2) (.f64 (/.f64 0 (neg.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))) (/.f64 (/.f64 alphay alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))) (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (/.f64 alphay alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) 2) (.f64 0 (/.f64 (/.f64 alphay alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))) (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) 3) (+.f64 0 (-.f64 (pow.f64 (/.f64 (/.f64 alphay alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) 2) (.f64 0 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))) (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))
(if (!=.f64 0 0) (.f64 0 (+.f64 1 (/.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) 0))) (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))
(+.f64 (/.f64 0 (neg.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))) (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))
(+.f64 0 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))
(+.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))) 0)

Outputs
(.f64 -1/2 (/.f64 alphay (.f64 alphax (*.f64 (PI.f64) u1))))
(/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 (PI.f64) u1)))
(+.f64 (.f64 1/4 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (.f64 2 (PI.f64)) 3)) (.f64 -1 (.f64 (pow.f64 (.f64 2 (PI.f64)) 2) (PI.f64)))) (.f64 alphay u1)) (.f64 (pow.f64 (PI.f64) 2) alphax))) (.f64 -1/2 (/.f64 alphay (.f64 alphax (.f64 (PI.f64) u1)))))
(fma.f64 1/4 (/.f64 (.f64 (fma.f64 -1/6 (pow.f64 (+.f64 (PI.f64) (PI.f64)) 3) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 4) (PI.f64))) (.f64 alphay u1)) (.f64 (.f64 (PI.f64) (PI.f64)) alphax)) (/.f64 (.f64 -1/2 alphay) (.f64 alphax (.f64 (PI.f64) u1))))
(+.f64 (.f64 1/4 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (.f64 2 (PI.f64)) 3)) (.f64 -1 (.f64 (pow.f64 (.f64 2 (PI.f64)) 2) (PI.f64)))) (.f64 alphay u1)) (.f64 (pow.f64 (PI.f64) 2) alphax))) (+.f64 (.f64 -1/2 (/.f64 alphay (.f64 alphax (.f64 (PI.f64) u1)))) (.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 alphay (-.f64 (.f64 1/120 (pow.f64 (.f64 2 (PI.f64)) 5)) (+.f64 (.f64 1/12 (.f64 (pow.f64 (.f64 2 (PI.f64)) 4) (PI.f64))) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (.f64 2 (PI.f64)) 3)) (.f64 -1 (.f64 (pow.f64 (.f64 2 (PI.f64)) 2) (PI.f64)))) (pow.f64 (.f64 2 (PI.f64)) 2)))))) (.f64 (pow.f64 (PI.f64) 2) alphax))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 -1/6 (pow.f64 (.f64 2 (PI.f64)) 3)) (.f64 -1 (.f64 (pow.f64 (.f64 2 (PI.f64)) 2) (PI.f64)))) 2) alphay) (.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) alphax))))) (pow.f64 u1 3))))
(fma.f64 1/4 (/.f64 (.f64 (fma.f64 -1/6 (pow.f64 (+.f64 (PI.f64) (PI.f64)) 3) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 4) (PI.f64))) (.f64 alphay u1)) (.f64 (.f64 (PI.f64) (PI.f64)) alphax)) (fma.f64 -1/2 (/.f64 alphay (.f64 alphax (.f64 (PI.f64) u1))) (.f64 (fma.f64 1/4 (.f64 (/.f64 alphay (.f64 (PI.f64) (PI.f64))) (/.f64 (-.f64 (.f64 1/120 (pow.f64 (+.f64 (PI.f64) (PI.f64)) 5)) (fma.f64 1/12 (.f64 (pow.f64 (+.f64 (PI.f64) (PI.f64)) 4) (PI.f64)) (.f64 -1/2 (.f64 (fma.f64 -1/6 (pow.f64 (+.f64 (PI.f64) (PI.f64)) 3) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 4) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) 4))))) alphax)) (.f64 -1/8 (/.f64 (.f64 alphay (pow.f64 (fma.f64 -1/6 (pow.f64 (+.f64 (PI.f64) (PI.f64)) 3) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 4) (PI.f64))) 2)) (*.f64 (pow.f64 (PI.f64) 3) alphax)))) (pow.f64 u1 3))))
(+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (.f64 2 (PI.f64)) 7)) (+.f64 (.f64 1/24 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (.f64 2 (PI.f64)) 3)) (.f64 -1 (.f64 (pow.f64 (.f64 2 (PI.f64)) 2) (PI.f64)))) (pow.f64 (.f64 2 (PI.f64)) 4))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 2 (PI.f64)) 2) (-.f64 (.f64 1/120 (pow.f64 (.f64 2 (PI.f64)) 5)) (+.f64 (.f64 1/12 (.f64 (pow.f64 (.f64 2 (PI.f64)) 4) (PI.f64))) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (.f64 2 (PI.f64)) 3)) (.f64 -1 (.f64 (pow.f64 (.f64 2 (PI.f64)) 2) (PI.f64)))) (pow.f64 (.f64 2 (PI.f64)) 2))))))) (.f64 -1/360 (.f64 (pow.f64 (.f64 2 (PI.f64)) 6) (PI.f64)))))) alphay) (.f64 (pow.f64 (PI.f64) 2) alphax))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (.f64 2 (PI.f64)) 3)) (.f64 -1 (.f64 (pow.f64 (.f64 2 (PI.f64)) 2) (PI.f64)))) (+.f64 (.f64 1/4 (/.f64 (.f64 alphay (-.f64 (.f64 1/120 (pow.f64 (.f64 2 (PI.f64)) 5)) (+.f64 (.f64 1/12 (.f64 (pow.f64 (.f64 2 (PI.f64)) 4) (PI.f64))) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (.f64 2 (PI.f64)) 3)) (.f64 -1 (.f64 (pow.f64 (.f64 2 (PI.f64)) 2) (PI.f64)))) (pow.f64 (.f64 2 (PI.f64)) 2)))))) (.f64 (pow.f64 (PI.f64) 2) alphax))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 -1/6 (pow.f64 (.f64 2 (PI.f64)) 3)) (.f64 -1 (.f64 (pow.f64 (.f64 2 (PI.f64)) 2) (PI.f64)))) 2) alphay) (.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) alphax)))))) (PI.f64))) (.f64 -1/8 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (.f64 2 (PI.f64)) 3)) (.f64 -1 (.f64 (pow.f64 (.f64 2 (PI.f64)) 2) (PI.f64)))) (.f64 alphay (-.f64 (.f64 1/120 (pow.f64 (.f64 2 (PI.f64)) 5)) (+.f64 (.f64 1/12 (.f64 (pow.f64 (.f64 2 (PI.f64)) 4) (PI.f64))) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (.f64 2 (PI.f64)) 3)) (.f64 -1 (.f64 (pow.f64 (.f64 2 (PI.f64)) 2) (PI.f64)))) (pow.f64 (.f64 2 (PI.f64)) 2))))))) (.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) alphax)))))) (pow.f64 u1 5)) (+.f64 (.f64 1/4 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (.f64 2 (PI.f64)) 3)) (.f64 -1 (.f64 (pow.f64 (.f64 2 (PI.f64)) 2) (PI.f64)))) (.f64 alphay u1)) (.f64 (pow.f64 (PI.f64) 2) alphax))) (+.f64 (.f64 -1/2 (/.f64 alphay (.f64 alphax (.f64 (PI.f64) u1)))) (.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 alphay (-.f64 (.f64 1/120 (pow.f64 (.f64 2 (PI.f64)) 5)) (+.f64 (.f64 1/12 (.f64 (pow.f64 (.f64 2 (PI.f64)) 4) (PI.f64))) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (.f64 2 (PI.f64)) 3)) (.f64 -1 (.f64 (pow.f64 (.f64 2 (PI.f64)) 2) (PI.f64)))) (pow.f64 (.f64 2 (PI.f64)) 2)))))) (.f64 (pow.f64 (PI.f64) 2) alphax))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (-.f64 (.f64 -1/6 (pow.f64 (.f64 2 (PI.f64)) 3)) (.f64 -1 (.f64 (pow.f64 (.f64 2 (PI.f64)) 2) (PI.f64)))) 2) alphay) (.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) alphax))))) (pow.f64 u1 3)))))
(fma.f64 (fma.f64 1/4 (.f64 (/.f64 (-.f64 (.f64 -1/5040 (pow.f64 (+.f64 (PI.f64) (PI.f64)) 7)) (fma.f64 1/24 (.f64 (fma.f64 -1/6 (pow.f64 (+.f64 (PI.f64) (PI.f64)) 3) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 4) (PI.f64))) (pow.f64 (+.f64 (PI.f64) (PI.f64)) 4)) (fma.f64 -1/2 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 4) (-.f64 (.f64 1/120 (pow.f64 (+.f64 (PI.f64) (PI.f64)) 5)) (fma.f64 1/12 (.f64 (pow.f64 (+.f64 (PI.f64) (PI.f64)) 4) (PI.f64)) (.f64 -1/2 (.f64 (fma.f64 -1/6 (pow.f64 (+.f64 (PI.f64) (PI.f64)) 3) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 4) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) 4)))))) (.f64 -1/360 (.f64 (pow.f64 (+.f64 (PI.f64) (PI.f64)) 6) (PI.f64)))))) (.f64 (PI.f64) (PI.f64))) (/.f64 alphay alphax)) (fma.f64 -1/2 (/.f64 (.f64 (fma.f64 -1/6 (pow.f64 (+.f64 (PI.f64) (PI.f64)) 3) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 4) (PI.f64))) (fma.f64 1/4 (.f64 (/.f64 alphay (.f64 (PI.f64) (PI.f64))) (/.f64 (-.f64 (.f64 1/120 (pow.f64 (+.f64 (PI.f64) (PI.f64)) 5)) (fma.f64 1/12 (.f64 (pow.f64 (+.f64 (PI.f64) (PI.f64)) 4) (PI.f64)) (.f64 -1/2 (.f64 (fma.f64 -1/6 (pow.f64 (+.f64 (PI.f64) (PI.f64)) 3) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 4) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) 4))))) alphax)) (.f64 -1/8 (/.f64 (.f64 alphay (pow.f64 (fma.f64 -1/6 (pow.f64 (+.f64 (PI.f64) (PI.f64)) 3) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 4) (PI.f64))) 2)) (.f64 (pow.f64 (PI.f64) 3) alphax))))) (PI.f64)) (/.f64 (.f64 -1/8 (.f64 (.f64 (fma.f64 -1/6 (pow.f64 (+.f64 (PI.f64) (PI.f64)) 3) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 4) (PI.f64))) alphay) (-.f64 (.f64 1/120 (pow.f64 (+.f64 (PI.f64) (PI.f64)) 5)) (fma.f64 1/12 (.f64 (pow.f64 (+.f64 (PI.f64) (PI.f64)) 4) (PI.f64)) (.f64 -1/2 (.f64 (fma.f64 -1/6 (pow.f64 (+.f64 (PI.f64) (PI.f64)) 3) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 4) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) 4))))))) (.f64 (pow.f64 (PI.f64) 3) alphax)))) (pow.f64 u1 5) (fma.f64 1/4 (/.f64 (.f64 (fma.f64 -1/6 (pow.f64 (+.f64 (PI.f64) (PI.f64)) 3) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 4) (PI.f64))) (.f64 alphay u1)) (.f64 (.f64 (PI.f64) (PI.f64)) alphax)) (fma.f64 -1/2 (/.f64 alphay (.f64 alphax (.f64 (PI.f64) u1))) (.f64 (fma.f64 1/4 (.f64 (/.f64 alphay (.f64 (PI.f64) (PI.f64))) (/.f64 (-.f64 (.f64 1/120 (pow.f64 (+.f64 (PI.f64) (PI.f64)) 5)) (fma.f64 1/12 (.f64 (pow.f64 (+.f64 (PI.f64) (PI.f64)) 4) (PI.f64)) (.f64 -1/2 (.f64 (fma.f64 -1/6 (pow.f64 (+.f64 (PI.f64) (PI.f64)) 3) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 4) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) 4))))) alphax)) (.f64 -1/8 (/.f64 (.f64 alphay (pow.f64 (fma.f64 -1/6 (pow.f64 (+.f64 (PI.f64) (PI.f64)) 3) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 4) (PI.f64))) 2)) (*.f64 (pow.f64 (PI.f64) 3) alphax)))) (pow.f64 u1 3)))))
(.f64 (cbrt.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 alphay alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))) 2)))
(/.f64 (/.f64 (neg.f64 alphay) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))) alphax)
(.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 alphay alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) 2)) (cbrt.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))
(/.f64 (/.f64 (neg.f64 alphay) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))) alphax)
(.f64 (/.f64 (neg.f64 (cbrt.f64 alphay)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) (/.f64 (cbrt.f64 (pow.f64 alphay 2)) alphax))
(.f64 (/.f64 (neg.f64 (cbrt.f64 alphay)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) (/.f64 (cbrt.f64 (*.f64 alphay alphay)) alphax))
(.f64 alphay (/.f64 1 (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))
(/.f64 (/.f64 (neg.f64 alphay) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))) alphax)
(.f64 (/.f64 (cbrt.f64 (pow.f64 alphay 2)) alphax) (/.f64 (neg.f64 (cbrt.f64 alphay)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))
(.f64 (/.f64 (neg.f64 (cbrt.f64 alphay)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) (/.f64 (cbrt.f64 (*.f64 alphay alphay)) alphax))
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(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) 3) (+.f64 0 (-.f64 (pow.f64 (/.f64 (/.f64 alphay alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) 2) (.f64 0 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))) (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (/.f64 alphay (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) alphax) 2) (/.f64 (/.f64 (neg.f64 alphay) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) alphax)) (/.f64 (/.f64 (neg.f64 alphay) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))) alphax))
(if (!=.f64 0 0) (.f64 0 (+.f64 1 (/.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))) 0))) (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))
(if (!=.f64 0 0) 0 (/.f64 (/.f64 (neg.f64 alphay) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))) alphax))
(+.f64 (/.f64 0 (neg.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))) (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))
(/.f64 (/.f64 (neg.f64 alphay) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))) alphax)
(+.f64 0 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))
(/.f64 (/.f64 (neg.f64 alphay) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))) alphax)
(+.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))) 0)
(/.f64 (/.f64 (neg.f64 alphay) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))) alphax)

localize87.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)
✓	0.5b	(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2)
✓	0.9b	(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)) (-.f64 1 u0)))))) -2)
✓	12.4b	(cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))

Compiler

Compiled 447 to 98 computations (78.1% saved)

series2.0s (1.3%)

Counts

4 → 75

Calls

39 calls:

Time	Variable		Point	Expression
31.0ms	u0	@	-inf	(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)) (-.f64 1 u0)))))) -2)
23.0ms	alphax	@	inf	(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)) (-.f64 1 u0)))))) -2)
21.0ms	u0	@	inf	(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)) (-.f64 1 u0)))))) -2)
18.0ms	alphay	@	-inf	(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)) (-.f64 1 u0)))))) -2)
16.0ms	alphay	@	inf	(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)) (-.f64 1 u0)))))) -2)

Compiler

Compiled 176225 to 131545 computations (25.4% saved)

rewrite2.3s (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

38×	`egg-rr`
37×	`egg-rr`
33×	`egg-rr`
20×	`egg-rr`

Counts

4 → 128

Calls

Call 1

Inputs
(cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)) (-.f64 1 u0)))))) -2)
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2)
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cbrt.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))) (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (neg.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) 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simplify5.7s (3.8%)

Algorithm

1×

egglog

Counts

203 → 165

Calls

Call 1

Inputs
1
1
1
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax -2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax -2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax -2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax -2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 (/.f64 1 alphax) 2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 (/.f64 1 alphax) 2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 (/.f64 1 alphax) 2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 (/.f64 1 alphax) 2))
(.f64 (pow.f64 (/.f64 -1 alphax) 2) (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 (/.f64 -1 alphax) 2) (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 (/.f64 -1 alphax) 2) (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 (/.f64 -1 alphax) 2) (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(.f64 (pow.f64 alphay -2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 alphay -2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 alphay -2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 alphay -2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 (/.f64 1 alphay) 2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 (/.f64 1 alphay) 2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 (/.f64 1 alphay) 2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 (/.f64 1 alphay) 2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 (/.f64 -1 alphay) 2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 (/.f64 -1 alphay) 2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 (/.f64 -1 alphay) 2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 (/.f64 -1 alphay) 2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphay 2))
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(if (!=.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 0) (/.f64 1 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) -2)) (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2))
(if (!=.f64 2 0) (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2))
(.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2) 1)
(.f64 (.f64 (neg.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay)) (/.f64 -1 alphay))
(.f64 (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) (neg.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))) (/.f64 -1 alphay))
(.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) 2) (/.f64 1 (pow.f64 alphay 2)))
(.f64 1 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))
(.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) (neg.f64 alphay)) (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) (neg.f64 alphay)))
(.f64 (neg.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) 2)) (/.f64 1 (neg.f64 (pow.f64 alphay 2))))
(.f64 (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) (pow.f64 alphay -1))
(.f64 (.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay)) (pow.f64 alphay -1))
(.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)) 2))
(.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) 2) (pow.f64 (pow.f64 alphay -1) 2))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)) 2) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))
(.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) (.f64 (pow.f64 alphay -1) (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay)))
(.f64 (cbrt.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay)) (.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)) (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay)))
(.f64 (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) (cbrt.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))
(/.f64 (.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay)) alphay)
(/.f64 (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay)
(/.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2) 1)
(/.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) 2) (.f64 1 (pow.f64 alphay 2)))
(/.f64 (neg.f64 (.f64 (neg.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay))) alphay)
(/.f64 (neg.f64 (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) (neg.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))))) alphay)
(/.f64 (neg.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) 2)) (neg.f64 (pow.f64 alphay 2)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) 2)) (.f64 1 (neg.f64 (pow.f64 alphay 2))))
(/.f64 (.f64 (neg.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay)) (neg.f64 alphay))
(/.f64 (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) (neg.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))) (neg.f64 alphay))
(/.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)) -1)
(pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2) 1)
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2) 3) 1))
(neg.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))
(if (!=.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 0) (/.f64 1 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) -2)) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))
(if (!=.f64 1 0) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))

Outputs
1
1
1
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax -2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) 2) (pow.f64 alphax -2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax -2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) 2) (pow.f64 alphax -2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax -2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) 2) (pow.f64 alphax -2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax -2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) 2) (pow.f64 alphax -2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 (/.f64 1 alphax) 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 (/.f64 1 alphax) 2))
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(.f64 (.f64 (cbrt.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay)) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))) (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay))
(.f64 (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) (cbrt.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))
(.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) (.f64 (cbrt.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay)) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))
(/.f64 (.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay)) alphay)
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(/.f64 (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay)
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(/.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) 2) (pow.f64 alphay 2))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(/.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2) 1)
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(/.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) 2) (.f64 1 (pow.f64 alphay 2)))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(/.f64 (neg.f64 (.f64 (neg.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay))) alphay)
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(/.f64 (neg.f64 (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) (neg.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))))) alphay)
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(/.f64 (neg.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) 2)) (neg.f64 (pow.f64 alphay 2)))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(/.f64 (neg.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) 2)) (.f64 1 (neg.f64 (pow.f64 alphay 2))))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(/.f64 (.f64 (neg.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay)) (neg.f64 alphay))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(/.f64 (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) (neg.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))) (neg.f64 alphay))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(/.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)) -1)
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)) 3)
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(pow.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2) 1)
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2) 3))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2) 3) 1))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(neg.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(if (!=.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 0) (/.f64 1 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) -2)) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))
(if (!=.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 0) (/.f64 1 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) -2)) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))
(if (!=.f64 1 0) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))
(if (!=.f64 1 0) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))

localize115.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2)
✓	0.6b	(/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) 3))
✓	0.7b	(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) 3)
	12.4b	(cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax)))))

Compiler

Compiled 464 to 112 computations (75.9% saved)

series5.0s (3.4%)

Counts

2 → 6

Calls

24 calls:

Time	Variable		Point	Expression
56.0ms	u0	@	-inf	(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) 3)
36.0ms	u0	@	inf	(/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) 3))
27.0ms	alphay	@	inf	(/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) 3))
26.0ms	u0	@	-inf	(/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) 3))
24.0ms	alphax	@	-inf	(/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) 3))

Compiler

Compiled 405040 to 302115 computations (25.4% saved)

rewrite1.6s (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

34×	`egg-rr`
31×	`egg-rr`

Counts

2 → 65

Calls

Call 1

Inputs

(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (*.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (*.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) 3)

(/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (*.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (*.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) 3))

Outputs

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simplify3.2s (2.2%)

Algorithm

1×

egglog

Counts

71 → 75

Calls

Call 1

Inputs
1
1
1
1
1
1
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(pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3)) 1)
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(if (!=.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3) 0) (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3)) (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3)))
(if (!=.f64 1 0) (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3)) (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3)))
(if (!=.f64 (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3)) 0) (/.f64 1 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3)) -1)) (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3)))
(if (!=.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3) 3) 0) (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3) 3) (neg.f64 1/3)) (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3)))

Outputs
1
1
1
1
1
1
(.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3) 1)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (/.f64 u0 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))) (-.f64 1 u0)) -1)) 3)
(.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 2)) (neg.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2)))))))
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(if (!=.f64 (pow.f64 (sqrt.f64 (-.f64 (/.f64 (/.f64 u0 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))) (-.f64 1 u0)) -1)) 3) 0) (pow.f64 (/.f64 1 (sqrt.f64 (-.f64 (/.f64 (/.f64 u0 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))) (-.f64 1 u0)) -1))) 3) (pow.f64 (/.f64 1 (sqrt.f64 (-.f64 (/.f64 (/.f64 u0 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))) (-.f64 1 u0)) -1))) 3))
(if (!=.f64 1 0) (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3)) (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3)))
(if (!=.f64 1 0) (pow.f64 (/.f64 1 (sqrt.f64 (-.f64 (/.f64 (/.f64 u0 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))) (-.f64 1 u0)) -1))) 3) (pow.f64 (/.f64 1 (sqrt.f64 (-.f64 (/.f64 (/.f64 u0 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))) (-.f64 1 u0)) -1))) 3))
(if (!=.f64 (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3)) 0) (/.f64 1 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3)) -1)) (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3)))
(if (!=.f64 (pow.f64 (/.f64 1 (sqrt.f64 (-.f64 (/.f64 (/.f64 u0 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))) (-.f64 1 u0)) -1))) 3) 0) (/.f64 -1 (pow.f64 (pow.f64 (/.f64 -1 (sqrt.f64 (-.f64 (/.f64 (/.f64 u0 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))) (-.f64 1 u0)) -1))) -1) 3)) (pow.f64 (/.f64 1 (sqrt.f64 (-.f64 (/.f64 (/.f64 u0 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))) (-.f64 1 u0)) -1))) 3))
(if (!=.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3) 3) 0) (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3) 3) (neg.f64 1/3)) (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3)))
(if (!=.f64 (pow.f64 (pow.f64 (sqrt.f64 (-.f64 (/.f64 (/.f64 u0 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))) (-.f64 1 u0)) -1)) 3) 3) 0) (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (-.f64 (/.f64 (/.f64 u0 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))) (-.f64 1 u0)) -1)) 3) 3) -1/3) (pow.f64 (/.f64 1 (sqrt.f64 (-.f64 (/.f64 (/.f64 u0 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))) (-.f64 1 u0)) -1))) 3))

localize95.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2)
	0.6b	(/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) 3))
	0.7b	(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) 3)
	12.4b	(cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax)))))

Compiler

Compiled 466 to 114 computations (75.5% saved)

localize119.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)
	0.5b	(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2)
✓	0.6b	(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1) 1/3) 3)
	12.4b	(cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))

Compiler

Compiled 467 to 115 computations (75.4% saved)

series6.3s (4.2%)

Counts

1 → 3

Calls

12 calls:

Time	Variable		Point	Expression
23.0ms	u0	@	-inf	(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1) 1/3) 3)
17.0ms	u0	@	inf	(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1) 1/3) 3)
15.0ms	alphax	@	-inf	(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1) 1/3) 3)
15.0ms	alphay	@	-inf	(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1) 1/3) 3)
11.0ms	alphax	@	inf	(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1) 1/3) 3)

Compiler

Compiled 423805 to 320355 computations (24.4% saved)

rewrite1.6s (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

46× egg-rr

Counts

1 → 46

Calls

Call 1

Inputs

(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (*.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (*.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1) 1/3) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (*.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (*.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (*.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (*.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))))) (/.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (*.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) 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simplify2.4s (1.6%)

Algorithm

1×

egglog

Counts

49 → 56

Calls

Call 1

Inputs
1
1
1
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(if (!=.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) 0) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1))
(if (!=.f64 -1 0) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1))
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(if (!=.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1) 0) (/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1) -1)) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)))))) 0) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)))))) -2) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1))
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(if (!=.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)))))) 0) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)))))) -3) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1))

Outputs
1
1
1
(.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1))
(/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))))
(.f64 (/.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))))) (/.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))))))
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(if (!=.f64 (sqrt.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) 0) (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))))
(if (!=.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) 3) 0) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) 3) -1/3) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1))
(if (!=.f64 (pow.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) 3) 0) (pow.f64 (pow.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) 3) -1/3) (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))))
(if (!=.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)))))) 0) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)))))) -3) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1))
(if (!=.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) 0) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) -3) (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))))

eval2.2s (1.5%)

Compiler: Compiled 145468 to 50448 computations (65.3% saved)

prune640.0ms (0.4%)

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	1552	7	1559
Fresh	1	6	7
Picked	0	1	1
Done	2	4	6
Total	1555	18	1573

Error

Counts

1573 → 18

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(if (!=.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (.f64 (PI.f64) u1))))) alphay) 2)))) 0) (pow.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))) -1/2) 1)
	1.7b	(if (!=.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) 0) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) -3) (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))))
✓	0.7b	(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2))))) -1) 1/3) 3)
▶	0.6b	(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)) (-.f64 1 u0))))) -1/2) 2)
▶	0.5b	(pow.f64 (/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3/2) 2)) 1/3)
	0.6b	(pow.f64 (/.f64 1 (cbrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3) 3))) 1/3)
✓	1.0b	(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)) (-.f64 1 u0)))))) -2)
▶	0.6b	(pow.f64 (cbrt.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3)) 3)) 1/3)
▶	1.3b	(pow.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))))) 3)
	0.9b	(/.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2)))))))
	0.9b	(/.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) -1)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 2)))
✓	0.9b	(/.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) -2)) (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2)))))))
✓	0.5b	(/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))))
	0.7b	(cbrt.f64 (pow.f64 (/.f64 1 (sqrt.f64 (-.f64 (/.f64 (/.f64 u0 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))) (-.f64 1 u0)) -1))) 3))
	0.7b	(cbrt.f64 (/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3/2) 2)))
✓	0.7b	(cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))))) 3)))
	0.7b	(cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3)) 3)))
	23.5b	1

Compiler

Compiled 2060 to 1162 computations (43.6% saved)

localize203.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2)
	0.5b	(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
	0.5b	(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
	12.4b	(cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))

Compiler

Compiled 633 to 193 computations (69.5% saved)

series73.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	alphay	@	-inf	(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2)
3.0ms	alphay	@	0	(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2)
2.0ms	alphay	@	inf	(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2)
2.0ms	u1	@	inf	(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2)
2.0ms	u1	@	-inf	(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2)

Compiler

Compiled 3165 to 1775 computations (43.9% saved)

rewrite1.6s (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

55× egg-rr

Counts

1 → 55

Calls

Call 1

Inputs
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) alphay) (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) alphay))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2)) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2) 2)) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 alphay -1)) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 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u1))))) 2) alphay) (pow.f64 alphay -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) 2)) (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) 2)) alphay) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) alphay) (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) (neg.f64 alphay))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) (neg.f64 alphay)) (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) (neg.f64 alphay)) (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) (neg.f64 alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) 2)) (/.f64 1 (neg.f64 (pow.f64 alphay 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) 2) (neg.f64 alphay)) (/.f64 -1 alphay))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (pow.f64 alphay 2)) (/.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 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egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1)))))) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2)) (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) alphay))) (cbrt.f64 alphay))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) (cbrt.f64 alphay)) (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) alphay)) (cbrt.f64 (pow.f64 alphay 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) 2) alphay) (cbrt.f64 alphay)) (cbrt.f64 (pow.f64 alphay 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) alphay) (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) (cbrt.f64 alphay))) (cbrt.f64 (pow.f64 alphay 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) 2)) (neg.f64 (pow.f64 alphay 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (cbrt.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))))) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2)) (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) alphay))) (neg.f64 (cbrt.f64 alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) 2) (neg.f64 alphay)) (neg.f64 alphay))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) 2) alphay) -1) (neg.f64 alphay))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) 2) alphay) alphay)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 3) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) (neg.f64 alphay)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) alphay) (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) (neg.f64 alphay))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) (neg.f64 alphay)) (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) 2)) (pow.f64 alphay 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) 2) (neg.f64 alphay)) alphay))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) 2) alphay) (neg.f64 alphay)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) 2) (neg.f64 (pow.f64 alphay 2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) alphay) (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) (neg.f64 alphay))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) (neg.f64 alphay)) (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) alphay)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2) 0) (/.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2) -1)) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2)) (*.f64 1/2 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2) 1/2) (*.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (*.f64 alphay -1/2) (*.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2) 1/2))))))

simplify2.9s (1.9%)

Algorithm

1×

egglog

Counts

91 → 66

Calls

Call 1

Inputs
(.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1/2 (/.f64 alphay (.f64 alphax (.f64 u1 (PI.f64))))))) 2) (pow.f64 alphay -2))
(.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1/2 (/.f64 alphay (.f64 alphax (.f64 u1 (PI.f64))))))) 2) (pow.f64 alphay -2))
(.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1/2 (/.f64 alphay (.f64 alphax (.f64 u1 (PI.f64))))))) 2) (pow.f64 alphay -2))
(.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1/2 (/.f64 alphay (.f64 alphax (.f64 u1 (PI.f64))))))) 2) (pow.f64 alphay -2))
(.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1/2 (/.f64 alphay (.f64 alphax (.f64 u1 (PI.f64))))))) 2) (pow.f64 (/.f64 1 alphay) 2))
(.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1/2 (/.f64 alphay (.f64 alphax (.f64 u1 (PI.f64))))))) 2) (pow.f64 (/.f64 1 alphay) 2))
(.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1/2 (/.f64 alphay (.f64 alphax (.f64 u1 (PI.f64))))))) 2) (pow.f64 (/.f64 1 alphay) 2))
(.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1/2 (/.f64 alphay (.f64 alphax (.f64 u1 (PI.f64))))))) 2) (pow.f64 (/.f64 1 alphay) 2))
(.f64 (pow.f64 (/.f64 -1 alphay) 2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1/2 (/.f64 alphay (.f64 u1 (.f64 (PI.f64) alphax)))))) 2))
(.f64 (pow.f64 (/.f64 -1 alphay) 2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1/2 (/.f64 alphay (.f64 u1 (.f64 (PI.f64) alphax)))))) 2))
(.f64 (pow.f64 (/.f64 -1 alphay) 2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1/2 (/.f64 alphay (.f64 u1 (.f64 (PI.f64) alphax)))))) 2))
(.f64 (pow.f64 (/.f64 -1 alphay) 2) (pow.f64 (sin.f64 (atan.f64 (.f64 -1/2 (/.f64 alphay (.f64 u1 (.f64 (PI.f64) alphax)))))) 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1/2 (/.f64 alphay (.f64 alphax (*.f64 u1 (PI.f64))))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1/2 (/.f64 alphay (.f64 alphax (*.f64 u1 (PI.f64))))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1/2 (/.f64 alphay (.f64 alphax (*.f64 u1 (PI.f64))))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1/2 (/.f64 alphay (.f64 alphax (*.f64 u1 (PI.f64))))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1/2 (/.f64 alphay (.f64 u1 (*.f64 (PI.f64) alphax)))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1/2 (/.f64 alphay (.f64 u1 (*.f64 (PI.f64) alphax)))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1/2 (/.f64 alphay (.f64 u1 (*.f64 (PI.f64) alphax)))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1/2 (/.f64 alphay (.f64 u1 (*.f64 (PI.f64) alphax)))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1/2 (/.f64 alphay (.f64 u1 (*.f64 (PI.f64) alphax)))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1/2 (/.f64 alphay (.f64 u1 (*.f64 (PI.f64) alphax)))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1/2 (/.f64 alphay (.f64 u1 (*.f64 (PI.f64) alphax)))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1/2 (/.f64 alphay (.f64 u1 (*.f64 (PI.f64) alphax)))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1/2 (/.f64 alphay (.f64 alphax (*.f64 u1 (PI.f64))))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1/2 (/.f64 alphay (.f64 alphax (*.f64 u1 (PI.f64))))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1/2 (/.f64 alphay (.f64 alphax (*.f64 u1 (PI.f64))))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1/2 (/.f64 alphay (.f64 alphax (*.f64 u1 (PI.f64))))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1/2 (/.f64 alphay (.f64 alphax (*.f64 (PI.f64) u1)))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1/2 (/.f64 alphay (.f64 alphax (*.f64 (PI.f64) u1)))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1/2 (/.f64 alphay (.f64 alphax (*.f64 (PI.f64) u1)))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1/2 (/.f64 alphay (.f64 alphax (*.f64 (PI.f64) u1)))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1/2 (/.f64 alphay (.f64 alphax (*.f64 (PI.f64) u1)))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1/2 (/.f64 alphay (.f64 alphax (*.f64 (PI.f64) u1)))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1/2 (/.f64 alphay (.f64 alphax (*.f64 (PI.f64) u1)))))) 2) (pow.f64 alphay 2))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1/2 (/.f64 alphay (.f64 alphax (*.f64 (PI.f64) u1)))))) 2) (pow.f64 alphay 2))
(.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay) (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay) 2)) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2) 2)))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay) 2) 2)) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2)))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 alphay -1)) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) (cbrt.f64 (pow.f64 alphay 2))) 2))
(.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) 2) (/.f64 1 (pow.f64 alphay 2)))
(.f64 (cbrt.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay)) (.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay) 2)) (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay)))
(.f64 (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay) (cbrt.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2)))
(.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) (/.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay) alphay))
(.f64 (/.f64 (pow.f64 alphay -1) alphay) (pow.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) 2))
(.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) 2) (/.f64 (pow.f64 alphay -1) alphay))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay) 2)) (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay) (cbrt.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay) 2)) (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay)) (cbrt.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay)))
(.f64 (/.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay) alphay) (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))))
(.f64 (pow.f64 alphay -1) (/.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) 2) alphay))
(.f64 (/.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) 2) alphay) (pow.f64 alphay -1))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) 2)) (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) 2)) alphay) 2))
(.f64 1 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay) 2))
(.f64 -1 (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay) (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) (neg.f64 alphay))))
(.f64 -1 (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) (neg.f64 alphay)) (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay)))
(.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) (neg.f64 alphay)) (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) (neg.f64 alphay)))
(.f64 (neg.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) 2)) (/.f64 1 (neg.f64 (pow.f64 alphay 2))))
(.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay) 2) 1)
(.f64 (/.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) 2) (neg.f64 alphay)) (/.f64 -1 alphay))
(-.f64 (/.f64 1 (pow.f64 alphay 2)) (/.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) 2) (pow.f64 alphay 2)))
(-.f64 (/.f64 1/2 (pow.f64 alphay 2)) (/.f64 (.f64 1/2 (cos.f64 (.f64 2 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))))) (pow.f64 alphay 2)))
(-.f64 0 (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay) (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) (neg.f64 alphay))))
(-.f64 0 (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) (neg.f64 alphay)) (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay)))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) 2) (pow.f64 alphay 2))
(/.f64 (.f64 (cbrt.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1)))))) (.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay) 2)) (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay))) (cbrt.f64 alphay))
(/.f64 (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) (cbrt.f64 alphay)) (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay)) (cbrt.f64 (pow.f64 alphay 2)))
(/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) 2) alphay) (cbrt.f64 alphay)) (cbrt.f64 (pow.f64 alphay 2)))
(/.f64 (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay) (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) (cbrt.f64 alphay))) (cbrt.f64 (pow.f64 alphay 2)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) 2)) (neg.f64 (pow.f64 alphay 2)))
(/.f64 (.f64 (neg.f64 (cbrt.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))))) (.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay) 2)) (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay))) (neg.f64 (cbrt.f64 alphay)))
(/.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2) 1)
(/.f64 (/.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) 2) (neg.f64 alphay)) (neg.f64 alphay))
(/.f64 (.f64 (/.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) 2) alphay) -1) (neg.f64 alphay))
(/.f64 (/.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) 2) alphay) alphay)
(pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 3) 2) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2)) 3)
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) (neg.f64 alphay)) 2)
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2)
(pow.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2) 1)
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 3) 2))
(neg.f64 (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay) (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) (neg.f64 alphay))))
(neg.f64 (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) (neg.f64 alphay)) (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) 2)) (pow.f64 alphay 2)))
(neg.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) 2) (neg.f64 alphay)) alphay))
(neg.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) 2) alphay) (neg.f64 alphay)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) 2) (neg.f64 (pow.f64 alphay 2))))
(neg.f64 (/.f64 (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay) (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) (neg.f64 alphay))) 1))
(neg.f64 (/.f64 (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) (neg.f64 alphay)) (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay)) 1))
(if (!=.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay) 2) 0) (/.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay) 2) -1)) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2))
(+.f64 (.f64 1/2 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay) 2)) (.f64 1/2 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay) 2)))
(+.f64 (.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay) 2) 1/2) (.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay) 2) 1/2))

Outputs
(.f64 (pow.f64 (sin.f64 (atan.f64 (.f64 -1/2 (/.f64 alphay (.f64 alphax (.f64 u1 (PI.f64))))))) 2) (pow.f64 alphay -2))
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(.f64 -1 (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) (neg.f64 alphay)) (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay)))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 u1 (PI.f64)))))) alphay) 2)
(.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) (neg.f64 alphay)) (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) (neg.f64 alphay)))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 u1 (PI.f64)))))) alphay) 2)
(.f64 (neg.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) 2)) (/.f64 1 (neg.f64 (pow.f64 alphay 2))))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 u1 (PI.f64)))))) alphay) 2)
(.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay) 2) 1)
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 u1 (PI.f64)))))) alphay) 2)
(.f64 (/.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) 2) (neg.f64 alphay)) (/.f64 -1 alphay))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 u1 (PI.f64)))))) alphay) 2)
(-.f64 (/.f64 1 (pow.f64 alphay 2)) (/.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) 2) (pow.f64 alphay 2)))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 u1 (PI.f64)))))) alphay) 2)
(-.f64 (/.f64 1/2 (pow.f64 alphay 2)) (/.f64 (.f64 1/2 (cos.f64 (.f64 2 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))))) (pow.f64 alphay 2)))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 u1 (PI.f64)))))) alphay) 2)
(-.f64 0 (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay) (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) (neg.f64 alphay))))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 u1 (PI.f64)))))) alphay) 2)
(-.f64 0 (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) (neg.f64 alphay)) (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay)))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 u1 (PI.f64)))))) alphay) 2)
(/.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) 2) (pow.f64 alphay 2))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 u1 (PI.f64)))))) alphay) 2)
(/.f64 (.f64 (cbrt.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1)))))) (.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay) 2)) (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay))) (cbrt.f64 alphay))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 u1 (PI.f64)))))) alphay) 2)
(/.f64 (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) (cbrt.f64 alphay)) (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay)) (cbrt.f64 (pow.f64 alphay 2)))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 u1 (PI.f64)))))) alphay) 2)
(/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) 2) alphay) (cbrt.f64 alphay)) (cbrt.f64 (pow.f64 alphay 2)))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 u1 (PI.f64)))))) alphay) 2)
(/.f64 (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay) (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) (cbrt.f64 alphay))) (cbrt.f64 (pow.f64 alphay 2)))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 u1 (PI.f64)))))) alphay) 2)
(/.f64 (neg.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) 2)) (neg.f64 (pow.f64 alphay 2)))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 u1 (PI.f64)))))) alphay) 2)
(/.f64 (.f64 (neg.f64 (cbrt.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))))) (.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay) 2)) (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay))) (neg.f64 (cbrt.f64 alphay)))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 u1 (PI.f64)))))) alphay) 2)
(/.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2) 1)
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 u1 (PI.f64)))))) alphay) 2)
(/.f64 (/.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) 2) (neg.f64 alphay)) (neg.f64 alphay))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 u1 (PI.f64)))))) alphay) 2)
(/.f64 (.f64 (/.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) 2) alphay) -1) (neg.f64 alphay))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 u1 (PI.f64)))))) alphay) 2)
(/.f64 (/.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) 2) alphay) alphay)
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 u1 (PI.f64)))))) alphay) 2)
(pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 3) 2) 1/3)
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 u1 (PI.f64)))))) alphay) 2)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2)) 3)
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 u1 (PI.f64)))))) alphay) 2)
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) (neg.f64 alphay)) 2)
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 u1 (PI.f64)))))) alphay) 2)
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2)
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 u1 (PI.f64)))))) alphay) 2)
(pow.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2) 1)
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 u1 (PI.f64)))))) alphay) 2)
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 3) 2))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 u1 (PI.f64)))))) alphay) 2)
(neg.f64 (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay) (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) (neg.f64 alphay))))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 u1 (PI.f64)))))) alphay) 2)
(neg.f64 (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) (neg.f64 alphay)) (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay)))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 u1 (PI.f64)))))) alphay) 2)
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) 2)) (pow.f64 alphay 2)))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 u1 (PI.f64)))))) alphay) 2)
(neg.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) 2) (neg.f64 alphay)) alphay))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 u1 (PI.f64)))))) alphay) 2)
(neg.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) 2) alphay) (neg.f64 alphay)))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 u1 (PI.f64)))))) alphay) 2)
(neg.f64 (/.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) 2) (neg.f64 (pow.f64 alphay 2))))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 u1 (PI.f64)))))) alphay) 2)
(neg.f64 (/.f64 (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay) (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) (neg.f64 alphay))) 1))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 u1 (PI.f64)))))) alphay) 2)
(neg.f64 (/.f64 (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) (neg.f64 alphay)) (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay)) 1))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 u1 (PI.f64)))))) alphay) 2)
(if (!=.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay) 2) 0) (/.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay) 2) -1)) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (*.f64 (PI.f64) u1))))) alphay) 2))
(if (!=.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (.f64 u1 (PI.f64)))))) alphay) 2) 0) (pow.f64 (/.f64 1 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (.f64 u1 (PI.f64)))))) alphay) 2)) -1) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 u1 (PI.f64)))))) alphay) 2))
(+.f64 (.f64 1/2 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay) 2)) (.f64 1/2 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay) 2)))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 u1 (PI.f64)))))) alphay) 2)
(+.f64 (.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay) 2) 1/2) (.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 alphay -1/2) (.f64 alphax (.f64 (PI.f64) u1))))) alphay) 2) 1/2))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (.f64 -1/2 alphay) (.f64 alphax (*.f64 u1 (PI.f64)))))) alphay) 2)

localize144.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)
✓	0.5b	(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)) (-.f64 1 u0))))) -1/2) 2)
	0.5b	(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2)
	12.4b	(cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))

Compiler

Compiled 449 to 100 computations (77.7% saved)

series2.2s (1.5%)

Counts

1 → 3

Calls

12 calls:

Time	Variable		Point	Expression
194.0ms	u1	@	-inf	(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)) (-.f64 1 u0))))) -1/2) 2)
68.0ms	u1	@	0	(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)) (-.f64 1 u0))))) -1/2) 2)
29.0ms	u1	@	inf	(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)) (-.f64 1 u0))))) -1/2) 2)
26.0ms	alphay	@	-inf	(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)) (-.f64 1 u0))))) -1/2) 2)
22.0ms	alphay	@	inf	(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)) (-.f64 1 u0))))) -1/2) 2)

Compiler

Compiled 126455 to 94895 computations (25% saved)

rewrite1.6s (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

18× egg-rr

Counts

1 → 18

Calls

Call 1

Inputs

(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (*.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 alphay (*.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (*.f64 (neg.f64 alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) alphay) 2)) (-.f64 1 u0))))) -1/2) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) 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2))))) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 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alphay) 2))))) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) 0) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 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simplify1.8s (1.2%)

Algorithm

1×

egglog

Counts

21 → 21

Calls

Call 1

Inputs
1
1
1
(.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1/2))
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2)))
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(.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1))
(.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1) 1)
(.f64 (.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1/2)) (.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1/2)))
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(/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))))
(/.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1) 1)
(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1) 3) 1/3)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1/2) 2)
(pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1)) 3)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1) 1)
(cbrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1) 3))
(if (!=.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) 0) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1))

Outputs
1
1
1
(.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1/2))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1)
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -2)))
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(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1)
(.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1/2) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1/2))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1)))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1)
(.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1)
(.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1)
(.f64 (.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1/2)) (.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1/2)))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1)
(.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1/2) -1) (.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1/2) -1))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1)
(/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1)
(/.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1)
(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1/2) 2)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1)
(pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1)) 3)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1)
(cbrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1) 3))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1)
(if (!=.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) 0) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1))
(if (!=.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) 0) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))) -1))

localize84.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(cbrt.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))))
✓	0.5b	(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
✓	0.6b	(pow.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))))) 3)
✓	12.4b	(cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))

Compiler

Compiled 458 to 111 computations (75.8% saved)

series8.7s (5.8%)

Counts

4 → 42

Calls

42 calls:

Time	Variable		Point	Expression
86.0ms	alphax	@	inf	(pow.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))))) 3)
46.0ms	alphax	@	-inf	(pow.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))))) 3)
40.0ms	alphay	@	-inf	(pow.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))))) 3)
37.0ms	alphay	@	inf	(pow.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))))) 3)
21.0ms	u0	@	-inf	(pow.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))))) 3)

Compiler

Compiled 594605 to 448750 computations (24.5% saved)

rewrite1.9s (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

45×	`egg-rr`
36×	`egg-rr`
36×	`egg-rr`
24×	`egg-rr`

Counts

4 → 141

Calls

Call 1

Inputs
(cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))
(pow.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))))) 3)
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(cbrt.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (/.f64 (/.f64 u0 (-.f64 u0 1)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))))

Outputs
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(+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) (neg.f64 1/3)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) -1)))))))

simplify5.4s (3.6%)

Algorithm

1×

egglog

Counts

183 → 165

Calls

Call 1

Inputs
1
1
1
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax -2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax -2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax -2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax -2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 (/.f64 1 alphax) 2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 (/.f64 1 alphax) 2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 (/.f64 1 alphax) 2))
(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 (/.f64 1 alphax) 2))
(.f64 (pow.f64 (/.f64 -1 alphax) 2) (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 (/.f64 -1 alphax) 2) (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 (/.f64 -1 alphax) 2) (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(.f64 (pow.f64 (/.f64 -1 alphax) 2) (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
1
1
1
(cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))
(.f64 1 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))
(.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) 1)
(.f64 (neg.f64 (cbrt.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))) (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) 2))))
(.f64 (cbrt.f64 (neg.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))) (neg.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))) 2)))
(.f64 (neg.f64 (cbrt.f64 (neg.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))))) (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))) 2))
(.f64 (neg.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) -1)
(.f64 (cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) 2)) (cbrt.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))))
(.f64 (cbrt.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) (cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) 2)))
(.f64 -1 (neg.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))))
(-.f64 (/.f64 0 -1) (neg.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))))
(-.f64 0 (neg.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))))
(/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) 1)
(/.f64 (neg.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) -1)
(pow.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) 1)
(pow.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) 3) 1/3)
(pow.f64 (cbrt.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))) 3)
(cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) 3))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) 3) 1))
(cbrt.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) 3)) -1))
(neg.f64 (neg.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)))))))
(if (!=.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) 0) (/.f64 1 (pow.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) -1)) (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))
(if (!=.f64 1 0) (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))
(if (!=.f64 -1 0) (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))))) -1) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))))) -1))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) -1))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) -2))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) -2))))
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(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) -1) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) -1)) 1)
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(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))))) -1)
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) -1))
(neg.f64 (/.f64 -1 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))))))
(neg.f64 (/.f64 1 (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))))))))
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(neg.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) -1)) -1))
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(if (!=.f64 1 0) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) -1)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) -1)))
(if (!=.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) -1)) 0) (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) -1)) -1)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) -1)))
(if (!=.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))))) 0) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) -1)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) -1)))
(if (!=.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) 0) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) (neg.f64 1/3)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) -1)))

Outputs
1
1
1
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
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(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))) 1)) -1))
(neg.f64 (/.f64 -1 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))) 1)) -1))
(neg.f64 (/.f64 1 (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))) 1)) -1))
(neg.f64 (/.f64 1 (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))) 1)) -1))
(neg.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) -1)) -1))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))) 1)) -1))
(neg.f64 (.f64 -1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) -1))))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))) 1)) -1))
(if (!=.f64 1 0) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) -1)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) -1)))
(if (!=.f64 1 0) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))) 1)) -1)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))) 1)) -1)))
(if (!=.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) -1)) 0) (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) -1)) -1)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) -1)))
(if (!=.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))) 1)) -1)) 0) (/.f64 -1 (/.f64 -1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))) 1)) -1)))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))) 1)) -1)))
(if (!=.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))))))) 0) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) -1)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) -1)))
(if (!=.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))) 1))) 0) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))) 1)) -1)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))) 1)) -1)))
(if (!=.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) 0) (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) (neg.f64 1/3)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))))) -1)))
(if (!=.f64 (sqrt.f64 (+.f64 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))) 1)) 0) (pow.f64 (sqrt.f64 (+.f64 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))) 1)) -1/3) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 u0 (.f64 (-.f64 1 u0) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 alphay (neg.f64 alphax)) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)))) 1)) -1)))

localize206.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2)
✓	0.5b	(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2)
✓	0.6b	(/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3/2) 2))
✓	12.4b	(cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax))))

Compiler

Compiled 517 to 134 computations (74.1% saved)

series2.4s (1.6%)

Counts

4 → 75

Calls

39 calls:

Time	Variable		Point	Expression
33.0ms	u0	@	inf	(/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3/2) 2))
21.0ms	u0	@	-inf	(/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3/2) 2))
19.0ms	alphay	@	-inf	(/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3/2) 2))
17.0ms	alphay	@	inf	(/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3/2) 2))
16.0ms	u0	@	0	(/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3/2) 2))

Compiler

Compiled 206365 to 155020 computations (24.9% saved)

rewrite1.8s (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

39×	`egg-rr`
37×	`egg-rr`
36×	`egg-rr`
20×	`egg-rr`

Counts

4 → 132

Calls

Call 1

Inputs
(cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax))))
(/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3/2) 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2)
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2)

Outputs
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simplify5.7s (3.8%)

Algorithm

1×

egglog

Counts

207 → 164

Calls

Call 1

Inputs
1
1
1
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
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(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
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(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
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(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
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(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
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(.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (*.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax -2))
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(.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2)) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2) 2)))
(.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) 2) (pow.f64 (pow.f64 alphay -1) 2))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2) 2)) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2)))
(.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) (.f64 (pow.f64 alphay -1) (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay)))
(.f64 (cbrt.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay)) (.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2)) (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay)))
(.f64 (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax)))))) (pow.f64 alphay -1))
(.f64 (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) (cbrt.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2)))
(.f64 1 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))
(.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2) 1)
(.f64 (.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay)) (pow.f64 alphay -1))
(.f64 (.f64 (neg.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax)))))) (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay)) (/.f64 -1 alphay))
(.f64 (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) (neg.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))))) (/.f64 -1 alphay))
(.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) (neg.f64 alphay)) (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) (neg.f64 alphay)))
(.f64 (neg.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) 2)) (/.f64 1 (neg.f64 (pow.f64 alphay 2))))
(.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) 2) (/.f64 1 (pow.f64 alphay 2)))
(/.f64 (.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay)) alphay)
(/.f64 (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax)))))) alphay)
(/.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2) 1)
(/.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) 2) (*.f64 1 (pow.f64 alphay 2)))
(/.f64 (.f64 (neg.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax)))))) (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay)) (neg.f64 alphay))
(/.f64 (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) (neg.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))))) (neg.f64 alphay))
(/.f64 (neg.f64 (.f64 (neg.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax)))))) (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay))) alphay)
(/.f64 (neg.f64 (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) (neg.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax)))))))) alphay)
(/.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2)) -1)
(/.f64 (neg.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) 2)) (neg.f64 (pow.f64 alphay 2)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) 2)) (*.f64 1 (neg.f64 (pow.f64 alphay 2))))
(/.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) 2) (pow.f64 alphay 2))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2)) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2) 1)
(pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 3) 2) 1/3)
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 3) 2))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 3) 2) 1))
(neg.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2)))
(if (!=.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2) 0) (/.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2) -1)) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))
(if (!=.f64 1 0) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))

Outputs
1
1
1
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 u1 (PI.f64)))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
(/.f64 (pow.f64 (cos.f64 (atan.f64 (.f64 -1 (/.f64 alphay (.f64 (tan.f64 (.f64 2 (.f64 (PI.f64) u1))) alphax))))) 2) (pow.f64 alphax 2))
(pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphax) 2)
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(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(/.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2) 1)
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(/.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) 2) (*.f64 1 (pow.f64 alphay 2)))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(/.f64 (.f64 (neg.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax)))))) (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay)) (neg.f64 alphay))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(/.f64 (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) (neg.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))))) (neg.f64 alphay))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(/.f64 (neg.f64 (.f64 (neg.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax)))))) (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay))) alphay)
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(/.f64 (neg.f64 (.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) (neg.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax)))))))) alphay)
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(/.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2)) -1)
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(/.f64 (neg.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) 2)) (neg.f64 (pow.f64 alphay 2)))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(/.f64 (neg.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) 2)) (*.f64 1 (neg.f64 (pow.f64 alphay 2))))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(/.f64 (pow.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) 2) (pow.f64 alphay 2))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2)
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2)) 3)
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(pow.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2) 1)
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(pow.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 3) 2) 1/3)
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 3) 2))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 3) 2) 1))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(neg.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2)))
(pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2)
(if (!=.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2) 0) (/.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2) -1)) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))
(if (!=.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2) 0) (/.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2) -1)) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))
(if (!=.f64 1 0) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 alphay (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) (neg.f64 alphax))))) alphay) 2))
(if (!=.f64 1 0) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (/.f64 (neg.f64 alphay) alphax) (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1))))) alphay) 2))

localize243.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3))
✓	0.7b	(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3)
✓	0.7b	(pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3)) 3)
	12.4b	(cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax))))

Compiler

Compiled 569 to 154 computations (72.9% saved)

series13.5s (9%)

Calls

36 calls:

Time	Variable		Point	Expression
193.0ms	u0	@	-inf	(pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3)) 3)
172.0ms	u0	@	inf	(pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3)) 3)
73.0ms	alphay	@	inf	(pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3)) 3)
52.0ms	u0	@	-inf	(/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3))
50.0ms	alphax	@	-inf	(pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (/.f64 u0 (-.f64 1 u0)) (+.f64 (pow.f64 (/.f64 (cos.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphax) 2) (pow.f64 (/.f64 (sin.f64 (atan.f64 (/.f64 (neg.f64 alphay) (.f64 (tan.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u1)) alphax)))) alphay) 2))))) 3)) 3)

Results

Compiler

Compiled 930908 to 695696 computations (25.3% saved)

Details

analyze704.0ms (0.5%)

sample5.5s (3.7%)

preprocess3.0s (2%)

simplify1.5s (1%)

eval3.0ms (0%)

prune2.0ms (0%)

localize145.0ms (0.1%)

series1.0s (0.7%)

rewrite1.6s (1%)

simplify4.9s (3.3%)

eval143.0ms (0.1%)

prune58.0ms (0%)

localize111.0ms (0.1%)

series956.0ms (0.6%)

rewrite1.6s (1.1%)

simplify5.1s (3.4%)

localize74.0ms (0%)

series1.3s (0.9%)

rewrite1.5s (1%)

simplify5.3s (3.5%)

localize82.0ms (0.1%)

series1.6s (1.1%)

rewrite1.5s (1%)

simplify2.0s (1.3%)

localize96.0ms (0.1%)

series7.1s (4.8%)

rewrite1.5s (1%)

simplify2.5s (1.7%)

localize104.0ms (0.1%)

series3.2s (2.1%)

rewrite1.5s (1%)

simplify1.8s (1.2%)

eval1.0s (0.7%)

prune319.0ms (0.2%)

localize88.0ms (0.1%)

series53.0ms (0%)

rewrite2.3s (1.6%)

simplify4.5s (3%)

localize87.0ms (0.1%)

series2.0s (1.3%)

rewrite2.3s (1.6%)

simplify5.7s (3.8%)

localize115.0ms (0.1%)

series5.0s (3.4%)

rewrite1.6s (1.1%)

simplify3.2s (2.2%)

localize95.0ms (0.1%)

localize119.0ms (0.1%)

series6.3s (4.2%)

rewrite1.6s (1.1%)

simplify2.4s (1.6%)

eval2.2s (1.5%)

prune640.0ms (0.4%)

localize203.0ms (0.1%)

series73.0ms (0%)

rewrite1.6s (1.1%)

simplify2.9s (1.9%)

localize144.0ms (0.1%)

series2.2s (1.5%)

rewrite1.6s (1.1%)

simplify1.8s (1.2%)

localize84.0ms (0.1%)

series8.7s (5.8%)

rewrite1.9s (1.3%)

simplify5.4s (3.6%)

localize206.0ms (0.1%)

series2.4s (1.6%)

rewrite1.8s (1.2%)

simplify5.7s (3.8%)

localize243.0ms (0.2%)

series13.5s (9%)

Profiling