Details

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
100%	0%	0%	100%	0%	0%	0%	1

Compiler

Compiled 118 to 85 computations (28% saved)

sample6.4s (22.2%)

Results

6.3s

8256×

body

256

valid

Bogosity

preprocess97.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

1714×	`rational.json-simplify-46`
1052×	`rational.json-simplify-19`
992×	`rational.json-simplify-51`
742×	`rational.json-simplify-2`
718×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	194	3216
1	381	3216
2	838	3216
3	2048	2288
4	6206	2288
0	6	6

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4
5

Outputs
0
1
2
3
4
5

Call 2

Inputs
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) (.f32 (.f32 (-.f32 1 ux) maxCos) ux))))) xi) (.f32 (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) (.f32 (.f32 (-.f32 1 ux) maxCos) ux))))) yi)) (.f32 (.f32 (*.f32 (-.f32 1 ux) maxCos) ux) zi))
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) (.f32 (.f32 (-.f32 1 ux) maxCos) ux))))) yi) (.f32 (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) (.f32 (.f32 (-.f32 1 ux) maxCos) ux))))) xi)) (.f32 (.f32 (*.f32 (-.f32 1 ux) maxCos) ux) zi))
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) (.f32 (.f32 (-.f32 1 ux) maxCos) ux))))) zi) (.f32 (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) (.f32 (.f32 (-.f32 1 ux) maxCos) ux))))) yi)) (.f32 (.f32 (*.f32 (-.f32 1 ux) maxCos) ux) xi))
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 xi) maxCos) xi) (.f32 (.f32 (-.f32 1 xi) maxCos) xi))))) ux) (.f32 (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 xi) maxCos) xi) (.f32 (.f32 (-.f32 1 xi) maxCos) xi))))) yi)) (.f32 (.f32 (*.f32 (-.f32 1 xi) maxCos) xi) zi))
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 xi 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) (.f32 (.f32 (-.f32 1 ux) maxCos) ux))))) uy) (.f32 (.f32 (sin.f32 (.f32 (.f32 xi 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) (.f32 (.f32 (-.f32 1 ux) maxCos) ux))))) yi)) (.f32 (.f32 (*.f32 (-.f32 1 ux) maxCos) ux) zi))
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) xi) ux) (.f32 (.f32 (-.f32 1 ux) xi) ux))))) maxCos) (.f32 (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) xi) ux) (.f32 (.f32 (-.f32 1 ux) xi) ux))))) yi)) (.f32 (.f32 (*.f32 (-.f32 1 ux) xi) ux) zi))
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) (.f32 (.f32 (-.f32 1 ux) maxCos) ux))))) xi) (.f32 (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) (.f32 (.f32 (-.f32 1 ux) maxCos) ux))))) zi)) (.f32 (.f32 (*.f32 (-.f32 1 ux) maxCos) ux) yi))
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 yi) maxCos) yi) (.f32 (.f32 (-.f32 1 yi) maxCos) yi))))) xi) (.f32 (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 yi) maxCos) yi) (.f32 (.f32 (-.f32 1 yi) maxCos) yi))))) ux)) (.f32 (.f32 (*.f32 (-.f32 1 yi) maxCos) yi) zi))
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 yi 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) (.f32 (.f32 (-.f32 1 ux) maxCos) ux))))) xi) (.f32 (.f32 (sin.f32 (.f32 (.f32 yi 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) (.f32 (.f32 (-.f32 1 ux) maxCos) ux))))) uy)) (.f32 (.f32 (*.f32 (-.f32 1 ux) maxCos) ux) zi))
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) yi) ux) (.f32 (.f32 (-.f32 1 ux) yi) ux))))) xi) (.f32 (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) yi) ux) (.f32 (.f32 (-.f32 1 ux) yi) ux))))) maxCos)) (.f32 (.f32 (*.f32 (-.f32 1 ux) yi) ux) zi))
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 zi) maxCos) zi) (.f32 (.f32 (-.f32 1 zi) maxCos) zi))))) xi) (.f32 (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 zi) maxCos) zi) (.f32 (.f32 (-.f32 1 zi) maxCos) zi))))) yi)) (.f32 (.f32 (*.f32 (-.f32 1 zi) maxCos) zi) ux))
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 zi 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) (.f32 (.f32 (-.f32 1 ux) maxCos) ux))))) xi) (.f32 (.f32 (sin.f32 (.f32 (.f32 zi 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) (.f32 (.f32 (-.f32 1 ux) maxCos) ux))))) yi)) (.f32 (.f32 (*.f32 (-.f32 1 ux) maxCos) ux) uy))
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) zi) ux) (.f32 (.f32 (-.f32 1 ux) zi) ux))))) xi) (.f32 (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) zi) ux) (.f32 (.f32 (-.f32 1 ux) zi) ux))))) yi)) (.f32 (.f32 (*.f32 (-.f32 1 ux) zi) ux) maxCos))
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 ux 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 uy) maxCos) uy) (.f32 (.f32 (-.f32 1 uy) maxCos) uy))))) xi) (.f32 (.f32 (sin.f32 (.f32 (.f32 ux 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 uy) maxCos) uy) (.f32 (.f32 (-.f32 1 uy) maxCos) uy))))) yi)) (.f32 (.f32 (*.f32 (-.f32 1 uy) maxCos) uy) zi))
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 maxCos) ux) maxCos) (.f32 (.f32 (-.f32 1 maxCos) ux) maxCos))))) xi) (.f32 (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 maxCos) ux) maxCos) (.f32 (.f32 (-.f32 1 maxCos) ux) maxCos))))) yi)) (.f32 (.f32 (*.f32 (-.f32 1 maxCos) ux) maxCos) zi))
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 maxCos 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) uy) ux) (.f32 (.f32 (-.f32 1 ux) uy) ux))))) xi) (.f32 (.f32 (sin.f32 (.f32 (.f32 maxCos 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) uy) ux) (.f32 (.f32 (-.f32 1 ux) uy) ux))))) yi)) (.f32 (.f32 (*.f32 (-.f32 1 ux) uy) ux) zi))

Outputs
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) (.f32 (.f32 (-.f32 1 ux) maxCos) ux))))) xi) (.f32 (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) (.f32 (.f32 (-.f32 1 ux) maxCos) ux))))) yi)) (.f32 (.f32 (*.f32 (-.f32 1 ux) maxCos) ux) zi))
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) maxCos))))))) xi) (.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) maxCos)))))) (sin.f32 (.f32 (.f32 uy 2) (PI.f32)))) yi)) (.f32 (.f32 ux (*.f32 (-.f32 1 ux) maxCos)) zi))
(+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) xi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi)) (.f32 (.f32 (-.f32 1 ux) maxCos) (*.f32 ux zi))))
(+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 (-.f32 1 ux) maxCos)))))) xi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 (-.f32 1 ux) maxCos)))))) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi)) (.f32 ux (.f32 maxCos (*.f32 (-.f32 1 ux) zi)))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 (-.f32 1 ux) (.f32 (.f32 ux maxCos) ux))))) (+.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 ux (.f32 (*.f32 (-.f32 1 ux) maxCos) zi)))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 (-.f32 1 ux) (.f32 (.f32 ux maxCos) ux))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (*.f32 (-.f32 1 ux) maxCos) zi)))
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) (.f32 (.f32 (-.f32 1 ux) maxCos) ux))))) yi) (.f32 (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) (.f32 (.f32 (-.f32 1 ux) maxCos) ux))))) xi)) (.f32 (.f32 (*.f32 (-.f32 1 ux) maxCos) ux) zi))
(+.f32 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) zi) (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) maxCos))))))) yi) (.f32 xi (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) maxCos)))))) (sin.f32 (.f32 (*.f32 uy 2) (PI.f32)))))))
(+.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 ux zi)) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) yi)) (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) xi))))
(+.f32 (.f32 ux (.f32 maxCos (.f32 (-.f32 1 ux) zi))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 (-.f32 1 ux) maxCos)))))) yi)) (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 (-.f32 1 ux) maxCos)))))) (.f32 xi (sin.f32 (.f32 uy (*.f32 2 (PI.f32))))))))
(+.f32 (.f32 ux (.f32 (.f32 (-.f32 1 ux) maxCos) zi)) (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 (-.f32 1 ux) (.f32 (.f32 ux maxCos) ux))))) (+.f32 (.f32 xi (sin.f32 (.f32 uy (.f32 2 (PI.f32))))) (.f32 (cos.f32 (.f32 uy (*.f32 2 (PI.f32)))) yi))))
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) (.f32 (.f32 (-.f32 1 ux) maxCos) ux))))) zi) (.f32 (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) (.f32 (.f32 (-.f32 1 ux) maxCos) ux))))) yi)) (.f32 (.f32 (*.f32 (-.f32 1 ux) maxCos) ux) xi))
(+.f32 (+.f32 (.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) maxCos)))))) (sin.f32 (.f32 (.f32 uy 2) (PI.f32)))) yi) (.f32 (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) maxCos))))))) zi)) (.f32 (.f32 ux (*.f32 (-.f32 1 ux) maxCos)) xi))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi)) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) zi)) (.f32 ux (.f32 (*.f32 (-.f32 1 ux) maxCos) xi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 (-.f32 1 ux) maxCos)))))) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 (-.f32 1 ux) maxCos)))))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) zi)) (.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux xi)))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 (-.f32 1 ux) (.f32 (.f32 ux maxCos) ux))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) zi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 (-.f32 1 ux) (.f32 (*.f32 ux maxCos) xi)))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 (-.f32 1 ux) (.f32 (.f32 ux maxCos) ux))))) (+.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) zi))) (.f32 (-.f32 1 ux) (.f32 (*.f32 ux maxCos) xi)))
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 xi) maxCos) xi) (.f32 (.f32 (-.f32 1 xi) maxCos) xi))))) ux) (.f32 (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 xi) maxCos) xi) (.f32 (.f32 (-.f32 1 xi) maxCos) xi))))) yi)) (.f32 (.f32 (*.f32 (-.f32 1 xi) maxCos) xi) zi))
(+.f32 (+.f32 (.f32 ux (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 maxCos (-.f32 1 xi)) (.f32 xi (.f32 xi (.f32 maxCos (-.f32 1 xi))))))))) (.f32 yi (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 maxCos (-.f32 1 xi)) (.f32 xi (.f32 xi (.f32 maxCos (-.f32 1 xi)))))))))) (.f32 zi (.f32 xi (*.f32 maxCos (-.f32 1 xi)))))
(+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 xi (.f32 maxCos (-.f32 1 xi))) (.f32 xi (.f32 maxCos (-.f32 1 xi)))))) ux)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 xi (.f32 maxCos (-.f32 1 xi))) (.f32 xi (.f32 maxCos (-.f32 1 xi)))))) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi)) (.f32 xi (.f32 (*.f32 maxCos (-.f32 1 xi)) zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 xi) (.f32 maxCos xi)) (.f32 (-.f32 1 xi) (.f32 maxCos xi))))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) ux)) (+.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 yi (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 xi) (.f32 maxCos xi)) (.f32 (-.f32 1 xi) (.f32 maxCos xi))))))) (.f32 xi (.f32 zi (*.f32 maxCos (-.f32 1 xi))))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 xi (.f32 maxCos (.f32 (-.f32 1 xi) (.f32 (-.f32 1 xi) (.f32 maxCos xi))))))) (+.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) ux))) (.f32 xi (.f32 zi (*.f32 maxCos (-.f32 1 xi)))))
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 xi 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) (.f32 (.f32 (-.f32 1 ux) maxCos) ux))))) uy) (.f32 (.f32 (sin.f32 (.f32 (.f32 xi 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) (.f32 (.f32 (-.f32 1 ux) maxCos) ux))))) yi)) (.f32 (.f32 (*.f32 (-.f32 1 ux) maxCos) ux) zi))
(+.f32 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) zi) (+.f32 (.f32 uy (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) maxCos)))))) (cos.f32 (.f32 (PI.f32) (.f32 2 xi))))) (.f32 yi (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) maxCos)))))) (sin.f32 (.f32 (PI.f32) (*.f32 2 xi)))))))
(+.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 ux zi)) (+.f32 (.f32 uy (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (cos.f32 (.f32 (PI.f32) (.f32 2 xi))))) (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 xi))) yi))))
(+.f32 (.f32 uy (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 (-.f32 1 ux) maxCos)))))) (cos.f32 (.f32 (PI.f32) (.f32 2 xi))))) (+.f32 (.f32 ux (.f32 maxCos (.f32 (-.f32 1 ux) zi))) (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 (-.f32 1 ux) maxCos)))))) (.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 2 xi)))))))
(+.f32 (.f32 ux (.f32 (.f32 (-.f32 1 ux) maxCos) zi)) (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 (-.f32 1 ux) (.f32 (.f32 ux maxCos) ux))))) (+.f32 (.f32 yi (sin.f32 (.f32 2 (.f32 (PI.f32) xi)))) (.f32 uy (cos.f32 (.f32 2 (*.f32 (PI.f32) xi)))))))
(+.f32 (.f32 ux (.f32 (.f32 (-.f32 1 ux) maxCos) zi)) (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 (-.f32 1 ux) (.f32 (.f32 ux maxCos) ux))))) (+.f32 (.f32 uy (cos.f32 (.f32 2 (.f32 (PI.f32) xi)))) (.f32 yi (sin.f32 (.f32 2 (*.f32 (PI.f32) xi)))))))
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) xi) ux) (.f32 (.f32 (-.f32 1 ux) xi) ux))))) maxCos) (.f32 (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) xi) ux) (.f32 (.f32 (-.f32 1 ux) xi) ux))))) yi)) (.f32 (.f32 (*.f32 (-.f32 1 ux) xi) ux) zi))
(+.f32 (+.f32 (.f32 maxCos (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) xi) (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) xi)))))))) (.f32 yi (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) xi) (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) xi))))))))) (.f32 zi (.f32 ux (*.f32 (-.f32 1 ux) xi))))
(+.f32 (.f32 maxCos (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) xi) (.f32 (.f32 (-.f32 1 ux) xi) (.f32 ux ux))))))) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) xi) (.f32 (.f32 (-.f32 1 ux) xi) (.f32 ux ux))))) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi)) (.f32 ux (.f32 (*.f32 (-.f32 1 ux) xi) zi))))
(+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 maxCos (sqrt.f32 (-.f32 1 (.f32 (-.f32 1 ux) (.f32 (.f32 ux xi) (.f32 (-.f32 1 ux) (.f32 ux xi)))))))) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (-.f32 1 ux) (.f32 (.f32 ux xi) (.f32 (-.f32 1 ux) (.f32 ux xi)))))) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi)) (.f32 ux (.f32 zi (*.f32 (-.f32 1 ux) xi)))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (.f32 (-.f32 1 ux) xi) (.f32 (-.f32 1 ux) xi)))))) (+.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) maxCos))) (.f32 ux (.f32 zi (*.f32 (-.f32 1 ux) xi))))
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) (.f32 (.f32 (-.f32 1 ux) maxCos) ux))))) xi) (.f32 (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) (.f32 (.f32 (-.f32 1 ux) maxCos) ux))))) zi)) (.f32 (.f32 (*.f32 (-.f32 1 ux) maxCos) ux) yi))
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) maxCos))))))) xi) (.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) maxCos)))))) (sin.f32 (.f32 (.f32 uy 2) (PI.f32)))) zi)) (.f32 (.f32 ux (*.f32 (-.f32 1 ux) maxCos)) yi))
(+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) xi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) zi)) (.f32 ux (.f32 (*.f32 (-.f32 1 ux) maxCos) yi))))
(+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 (-.f32 1 ux) maxCos)))))) xi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 (-.f32 1 ux) maxCos)))))) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) zi)) (.f32 ux (.f32 (*.f32 (-.f32 1 ux) maxCos) yi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 (-.f32 1 ux) (.f32 (.f32 ux maxCos) ux))))) (+.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) zi) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 (*.f32 ux maxCos) yi)))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 (-.f32 1 ux) (.f32 (.f32 ux maxCos) ux))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) zi))) (.f32 (-.f32 1 ux) (.f32 (*.f32 ux maxCos) yi)))
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 yi) maxCos) yi) (.f32 (.f32 (-.f32 1 yi) maxCos) yi))))) xi) (.f32 (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 yi) maxCos) yi) (.f32 (.f32 (-.f32 1 yi) maxCos) yi))))) ux)) (.f32 (.f32 (*.f32 (-.f32 1 yi) maxCos) yi) zi))
(+.f32 (+.f32 (.f32 xi (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 maxCos (-.f32 1 yi)) (.f32 yi (.f32 yi (.f32 maxCos (-.f32 1 yi))))))))) (.f32 ux (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 maxCos (-.f32 1 yi)) (.f32 yi (.f32 yi (.f32 maxCos (-.f32 1 yi)))))))))) (.f32 zi (.f32 yi (*.f32 maxCos (-.f32 1 yi)))))
(+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 yi (.f32 maxCos (-.f32 1 yi))) (.f32 yi (.f32 maxCos (-.f32 1 yi)))))) xi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 yi (.f32 maxCos (-.f32 1 yi))) (.f32 yi (.f32 maxCos (-.f32 1 yi)))))) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) ux)) (.f32 yi (.f32 (*.f32 maxCos (-.f32 1 yi)) zi))))
(+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 xi (sqrt.f32 (-.f32 1 (.f32 (-.f32 1 yi) (.f32 (.f32 maxCos yi) (.f32 (-.f32 1 yi) (.f32 maxCos yi)))))))) (+.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 ux (sqrt.f32 (-.f32 1 (.f32 (-.f32 1 yi) (.f32 (.f32 maxCos yi) (.f32 (-.f32 1 yi) (.f32 maxCos yi)))))))) (.f32 yi (.f32 zi (*.f32 maxCos (-.f32 1 yi))))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 maxCos (.f32 (.f32 yi (-.f32 1 yi)) (.f32 maxCos (.f32 yi (-.f32 1 yi))))))) (+.f32 (.f32 ux (sin.f32 (.f32 uy (.f32 2 (PI.f32))))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 maxCos (.f32 (*.f32 yi (-.f32 1 yi)) zi)))
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 yi 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) (.f32 (.f32 (-.f32 1 ux) maxCos) ux))))) xi) (.f32 (.f32 (sin.f32 (.f32 (.f32 yi 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) (.f32 (.f32 (-.f32 1 ux) maxCos) ux))))) uy)) (.f32 (.f32 (*.f32 (-.f32 1 ux) maxCos) ux) zi))
(+.f32 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) zi) (+.f32 (.f32 xi (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) maxCos)))))) (cos.f32 (.f32 (PI.f32) (.f32 2 yi))))) (.f32 uy (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) maxCos)))))) (sin.f32 (.f32 (PI.f32) (*.f32 2 yi)))))))
(+.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 ux zi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (cos.f32 (.f32 2 (.f32 yi (PI.f32)))) xi)) (.f32 uy (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (sin.f32 (.f32 2 (*.f32 yi (PI.f32))))))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 (-.f32 1 ux) maxCos)))))) (.f32 xi (cos.f32 (.f32 (PI.f32) (.f32 2 yi))))) (+.f32 (.f32 ux (.f32 maxCos (.f32 (-.f32 1 ux) zi))) (.f32 uy (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 (-.f32 1 ux) maxCos)))))) (sin.f32 (.f32 (PI.f32) (*.f32 2 yi)))))))
(+.f32 (.f32 ux (.f32 (.f32 (-.f32 1 ux) maxCos) zi)) (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 (-.f32 1 ux) (.f32 (.f32 ux maxCos) ux))))) (+.f32 (.f32 uy (sin.f32 (.f32 (PI.f32) (.f32 2 yi)))) (.f32 xi (cos.f32 (.f32 (PI.f32) (*.f32 2 yi)))))))
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) yi) ux) (.f32 (.f32 (-.f32 1 ux) yi) ux))))) xi) (.f32 (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) yi) ux) (.f32 (.f32 (-.f32 1 ux) yi) ux))))) maxCos)) (.f32 (.f32 (*.f32 (-.f32 1 ux) yi) ux) zi))
(+.f32 (+.f32 (.f32 xi (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) yi)) (.f32 ux (.f32 (-.f32 1 ux) yi))))))) (.f32 maxCos (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) yi)) (.f32 ux (.f32 (-.f32 1 ux) yi)))))))) (.f32 zi (.f32 ux (*.f32 (-.f32 1 ux) yi))))
(+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (.f32 ux (.f32 (-.f32 1 ux) yi)) (.f32 (-.f32 1 ux) yi))))) xi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (.f32 ux (.f32 (-.f32 1 ux) yi)) (.f32 (-.f32 1 ux) yi))))) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) maxCos)) (.f32 ux (.f32 (*.f32 (-.f32 1 ux) yi) zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 1 ux) (.f32 yi (.f32 yi (.f32 ux (-.f32 1 ux)))))))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 1 ux) (.f32 yi (.f32 yi (.f32 ux (-.f32 1 ux)))))))) (.f32 maxCos (sin.f32 (.f32 uy (.f32 2 (PI.f32)))))) (.f32 yi (.f32 ux (*.f32 (-.f32 1 ux) zi)))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (.f32 (-.f32 1 ux) yi) (.f32 (-.f32 1 ux) yi)))))) (+.f32 (.f32 maxCos (sin.f32 (.f32 uy (.f32 2 (PI.f32))))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 yi (.f32 ux (*.f32 (-.f32 1 ux) zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (.f32 (-.f32 1 ux) yi) (.f32 (-.f32 1 ux) yi)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 maxCos (sin.f32 (.f32 uy (.f32 2 (PI.f32))))))) (.f32 yi (.f32 ux (*.f32 (-.f32 1 ux) zi))))
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 zi) maxCos) zi) (.f32 (.f32 (-.f32 1 zi) maxCos) zi))))) xi) (.f32 (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 zi) maxCos) zi) (.f32 (.f32 (-.f32 1 zi) maxCos) zi))))) yi)) (.f32 (.f32 (*.f32 (-.f32 1 zi) maxCos) zi) ux))
(+.f32 (+.f32 (.f32 xi (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 maxCos (-.f32 1 zi)) (.f32 zi (.f32 zi (.f32 maxCos (-.f32 1 zi))))))))) (.f32 yi (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 maxCos (-.f32 1 zi)) (.f32 zi (.f32 zi (.f32 maxCos (-.f32 1 zi)))))))))) (.f32 ux (.f32 zi (*.f32 maxCos (-.f32 1 zi)))))
(+.f32 (.f32 xi (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 1 (.f32 (.f32 maxCos (-.f32 1 zi)) (.f32 zi (.f32 zi (.f32 maxCos (-.f32 1 zi))))))))) (+.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 maxCos (-.f32 1 zi)) (.f32 zi (.f32 zi (.f32 maxCos (-.f32 1 zi))))))) yi)) (.f32 ux (.f32 zi (*.f32 maxCos (-.f32 1 zi))))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 maxCos (.f32 (-.f32 1 zi) (.f32 maxCos (.f32 (.f32 zi (-.f32 1 zi)) zi)))))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi)) (+.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 yi (sqrt.f32 (-.f32 1 (.f32 maxCos (.f32 (-.f32 1 zi) (.f32 maxCos (.f32 (.f32 zi (-.f32 1 zi)) zi)))))))) (.f32 (-.f32 1 zi) (.f32 (*.f32 maxCos zi) ux))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 zi (.f32 maxCos (.f32 (-.f32 1 zi) (.f32 (-.f32 1 zi) (.f32 maxCos zi))))))) (+.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 ux (.f32 (-.f32 1 zi) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 zi (.f32 maxCos (.f32 (-.f32 1 zi) (.f32 (-.f32 1 zi) (.f32 maxCos zi))))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 zi) (*.f32 maxCos zi))))
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 zi 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) (.f32 (.f32 (-.f32 1 ux) maxCos) ux))))) xi) (.f32 (.f32 (sin.f32 (.f32 (.f32 zi 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) (.f32 (.f32 (-.f32 1 ux) maxCos) ux))))) yi)) (.f32 (.f32 (*.f32 (-.f32 1 ux) maxCos) ux) uy))
(+.f32 (+.f32 (.f32 xi (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) maxCos)))))) (cos.f32 (.f32 (PI.f32) (.f32 2 zi))))) (.f32 yi (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) maxCos)))))) (sin.f32 (.f32 (PI.f32) (.f32 2 zi)))))) (.f32 uy (.f32 ux (*.f32 (-.f32 1 ux) maxCos))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (cos.f32 (.f32 2 (.f32 zi (PI.f32)))) xi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (sin.f32 (.f32 2 (.f32 zi (PI.f32)))) yi)) (.f32 uy (.f32 ux (*.f32 (-.f32 1 ux) maxCos)))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 (-.f32 1 ux) maxCos)))))) (.f32 xi (cos.f32 (.f32 2 (.f32 (PI.f32) zi))))) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 (-.f32 1 ux) maxCos)))))) (.f32 yi (sin.f32 (.f32 2 (.f32 (PI.f32) zi))))) (.f32 maxCos (.f32 uy (*.f32 ux (-.f32 1 ux))))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 (-.f32 1 ux) (.f32 (.f32 ux maxCos) ux))))) (+.f32 (.f32 yi (sin.f32 (.f32 2 (.f32 (PI.f32) zi)))) (.f32 xi (cos.f32 (.f32 2 (.f32 (PI.f32) zi)))))) (.f32 ux (.f32 uy (*.f32 (-.f32 1 ux) maxCos))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 (-.f32 1 ux) (.f32 (.f32 ux maxCos) ux))))) (+.f32 (.f32 xi (cos.f32 (.f32 2 (.f32 (PI.f32) zi)))) (.f32 yi (sin.f32 (.f32 2 (.f32 (PI.f32) zi)))))) (.f32 ux (.f32 uy (*.f32 (-.f32 1 ux) maxCos))))
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) zi) ux) (.f32 (.f32 (-.f32 1 ux) zi) ux))))) xi) (.f32 (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) zi) ux) (.f32 (.f32 (-.f32 1 ux) zi) ux))))) yi)) (.f32 (.f32 (*.f32 (-.f32 1 ux) zi) ux) maxCos))
(+.f32 (+.f32 (.f32 xi (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) zi) (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) zi)))))))) (.f32 yi (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) zi) (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) zi))))))))) (.f32 maxCos (.f32 ux (*.f32 (-.f32 1 ux) zi))))
(+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (.f32 (-.f32 1 ux) zi) (.f32 ux (.f32 (-.f32 1 ux) zi)))))) xi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (.f32 (-.f32 1 ux) zi) (.f32 ux (.f32 (-.f32 1 ux) zi)))))) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi)) (.f32 ux (.f32 (*.f32 (-.f32 1 ux) zi) maxCos))))
(+.f32 (.f32 ux (.f32 maxCos (.f32 (-.f32 1 ux) zi))) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (.f32 (-.f32 1 ux) zi) (.f32 (-.f32 1 ux) zi)))))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi)) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 yi (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (.f32 (-.f32 1 ux) zi) (*.f32 (-.f32 1 ux) zi))))))))))
(+.f32 (.f32 ux (.f32 (.f32 (-.f32 1 ux) maxCos) zi)) (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 1 ux) (.f32 (.f32 ux zi) (.f32 (-.f32 1 ux) zi)))))) (+.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi) (.f32 (cos.f32 (.f32 uy (*.f32 2 (PI.f32)))) xi))))
(+.f32 (.f32 ux (.f32 (.f32 (-.f32 1 ux) maxCos) zi)) (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 1 ux) (.f32 (.f32 ux zi) (.f32 (-.f32 1 ux) zi)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) yi))))
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 ux 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 uy) maxCos) uy) (.f32 (.f32 (-.f32 1 uy) maxCos) uy))))) xi) (.f32 (.f32 (sin.f32 (.f32 (.f32 ux 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 uy) maxCos) uy) (.f32 (.f32 (-.f32 1 uy) maxCos) uy))))) yi)) (.f32 (.f32 (*.f32 (-.f32 1 uy) maxCos) uy) zi))
(+.f32 (+.f32 (.f32 xi (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 ux))) (sqrt.f32 (-.f32 1 (.f32 (.f32 maxCos (-.f32 1 uy)) (.f32 uy (.f32 uy (.f32 maxCos (-.f32 1 uy))))))))) (.f32 yi (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 maxCos (-.f32 1 uy)) (.f32 uy (.f32 uy (.f32 maxCos (-.f32 1 uy))))))) (sin.f32 (.f32 (PI.f32) (.f32 2 ux)))))) (.f32 zi (.f32 uy (*.f32 maxCos (-.f32 1 uy)))))
(+.f32 (.f32 xi (.f32 (cos.f32 (.f32 2 (.f32 ux (PI.f32)))) (sqrt.f32 (-.f32 1 (.f32 (.f32 maxCos (-.f32 1 uy)) (.f32 (.f32 maxCos (-.f32 1 uy)) (.f32 uy uy))))))) (+.f32 (.f32 yi (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 maxCos (-.f32 1 uy)) (.f32 (.f32 maxCos (-.f32 1 uy)) (.f32 uy uy))))) (sin.f32 (.f32 2 (.f32 ux (PI.f32)))))) (.f32 uy (.f32 (*.f32 maxCos (-.f32 1 uy)) zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 maxCos (.f32 (.f32 uy (-.f32 1 uy)) (.f32 (-.f32 1 uy) (.f32 uy maxCos)))))) (.f32 xi (cos.f32 (.f32 (.f32 (PI.f32) ux) -2)))) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 maxCos (.f32 (.f32 uy (-.f32 1 uy)) (.f32 (-.f32 1 uy) (.f32 uy maxCos)))))) (.f32 yi (sin.f32 (.f32 2 (.f32 (PI.f32) ux))))) (.f32 zi (.f32 (-.f32 1 uy) (*.f32 uy maxCos)))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (-.f32 1 uy) (.f32 (.f32 uy maxCos) (.f32 (-.f32 1 uy) (.f32 uy maxCos)))))) (+.f32 (.f32 yi (sin.f32 (.f32 2 (.f32 (PI.f32) ux)))) (.f32 xi (cos.f32 (.f32 (.f32 (PI.f32) ux) -2))))) (.f32 zi (.f32 (-.f32 1 uy) (*.f32 uy maxCos))))
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 maxCos) ux) maxCos) (.f32 (.f32 (-.f32 1 maxCos) ux) maxCos))))) xi) (.f32 (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 maxCos) ux) maxCos) (.f32 (.f32 (-.f32 1 maxCos) ux) maxCos))))) yi)) (.f32 (.f32 (*.f32 (-.f32 1 maxCos) ux) maxCos) zi))
(+.f32 (+.f32 (.f32 xi (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 maxCos (.f32 ux (-.f32 1 maxCos))) (.f32 maxCos (.f32 ux (-.f32 1 maxCos)))))))) (.f32 yi (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 maxCos (.f32 ux (-.f32 1 maxCos))) (.f32 maxCos (.f32 ux (-.f32 1 maxCos))))))))) (.f32 zi (.f32 maxCos (*.f32 ux (-.f32 1 maxCos)))))
(+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 maxCos) maxCos)) (.f32 ux (.f32 (-.f32 1 maxCos) maxCos))))) xi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 maxCos) maxCos)) (.f32 ux (.f32 (-.f32 1 maxCos) maxCos))))) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi)) (.f32 maxCos (.f32 (*.f32 ux (-.f32 1 maxCos)) zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 maxCos (.f32 (.f32 ux (-.f32 1 maxCos)) (.f32 (-.f32 1 maxCos) (.f32 ux maxCos)))))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi)) (+.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 yi (sqrt.f32 (-.f32 1 (.f32 maxCos (.f32 (.f32 ux (-.f32 1 maxCos)) (.f32 (-.f32 1 maxCos) (.f32 ux maxCos)))))))) (.f32 ux (.f32 (*.f32 maxCos (-.f32 1 maxCos)) zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (.f32 maxCos (-.f32 1 maxCos)) (.f32 (-.f32 1 maxCos) (.f32 ux maxCos)))))) (+.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 ux (.f32 (*.f32 maxCos (-.f32 1 maxCos)) zi)))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (.f32 maxCos (-.f32 1 maxCos)) (.f32 (-.f32 1 maxCos) (.f32 ux maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (*.f32 maxCos (-.f32 1 maxCos)) zi)))
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 maxCos 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) uy) ux) (.f32 (.f32 (-.f32 1 ux) uy) ux))))) xi) (.f32 (.f32 (sin.f32 (.f32 (.f32 maxCos 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) uy) ux) (.f32 (.f32 (-.f32 1 ux) uy) ux))))) yi)) (.f32 (.f32 (*.f32 (-.f32 1 ux) uy) ux) zi))
(+.f32 (+.f32 (.f32 xi (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 maxCos))) (sqrt.f32 (-.f32 1 (.f32 (.f32 uy (-.f32 1 ux)) (.f32 ux (.f32 ux (.f32 uy (-.f32 1 ux))))))))) (.f32 yi (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 uy (-.f32 1 ux)) (.f32 ux (.f32 ux (.f32 uy (-.f32 1 ux))))))) (sin.f32 (.f32 (PI.f32) (.f32 2 maxCos)))))) (.f32 zi (.f32 ux (*.f32 uy (-.f32 1 ux)))))
(+.f32 (.f32 xi (.f32 (cos.f32 (.f32 (PI.f32) (.f32 2 maxCos))) (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (.f32 ux (.f32 uy (-.f32 1 ux))) (.f32 uy (-.f32 1 ux)))))))) (+.f32 (.f32 yi (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (.f32 ux (.f32 uy (-.f32 1 ux))) (.f32 uy (-.f32 1 ux)))))) (sin.f32 (.f32 (PI.f32) (.f32 2 maxCos))))) (.f32 (.f32 uy (-.f32 1 ux)) (*.f32 ux zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 uy (.f32 (.f32 ux (-.f32 1 ux)) (.f32 uy (.f32 ux (-.f32 1 ux))))))) (.f32 xi (cos.f32 (.f32 (PI.f32) (.f32 2 maxCos))))) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 uy (.f32 (.f32 ux (-.f32 1 ux)) (.f32 uy (.f32 ux (-.f32 1 ux))))))) (.f32 yi (sin.f32 (.f32 (PI.f32) (.f32 2 maxCos))))) (.f32 uy (.f32 ux (*.f32 (-.f32 1 ux) zi)))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 uy (.f32 (.f32 ux (-.f32 1 ux)) (.f32 uy (.f32 ux (-.f32 1 ux))))))) (+.f32 (.f32 yi (sin.f32 (.f32 2 (.f32 (PI.f32) maxCos)))) (.f32 xi (cos.f32 (.f32 2 (.f32 (PI.f32) maxCos)))))) (.f32 uy (.f32 ux (*.f32 (-.f32 1 ux) zi))))

Compiler

Compiled 77 to 56 computations (27.3% saved)

simplify103.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1600×	`rational.json-simplify-54`
1540×	`rational.json-simplify-19`
1420×	`rational.json-simplify-51`
804×	`rational.json-simplify-2`
720×	`rational.json-simplify-40`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	201
1	48	201
2	96	201
3	227	143
4	1147	143
5	5614	143

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

Inputs

(+.f32 (+.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (*.f32 (*.f32 (*.f32 (-.f32 1 ux) maxCos) ux) (*.f32 (*.f32 (-.f32 1 ux) maxCos) ux))))) xi) (*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (*.f32 (*.f32 (*.f32 (-.f32 1 ux) maxCos) ux) (*.f32 (*.f32 (-.f32 1 ux) maxCos) ux))))) yi)) (*.f32 (*.f32 (*.f32 (-.f32 1 ux) maxCos) ux) zi))

Outputs
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) (.f32 (.f32 (-.f32 1 ux) maxCos) ux))))) xi) (.f32 (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) (.f32 (.f32 (-.f32 1 ux) maxCos) ux))))) yi)) (.f32 (.f32 (*.f32 (-.f32 1 ux) maxCos) ux) zi))
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos)))))) xi) (.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (sin.f32 (.f32 (.f32 uy 2) (PI.f32)))) yi)) (.f32 (.f32 ux (*.f32 (-.f32 1 ux) maxCos)) zi))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) xi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) yi)) (.f32 (.f32 (-.f32 1 ux) maxCos) (*.f32 ux zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) xi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) yi)) (.f32 (-.f32 1 ux) (.f32 (*.f32 ux maxCos) zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos (.f32 ux maxCos))))))) (+.f32 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) yi) (.f32 (cos.f32 (.f32 2 (.f32 uy (PI.f32)))) xi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))

eval5.0ms (0%)

Compiler: Compiled 358 to 235 computations (34.4% saved)

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	4	2	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	5	2	7

Error

0.3b

Counts

7 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) xi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) yi)) (.f32 (-.f32 1 ux) (.f32 (*.f32 ux maxCos) zi))))
▶	0.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))

Status

Error

Program

▶

0.4b

(+.f32 (*.f32 (sqrt.f32 (-.f32 1 (*.f32 (*.f32 ux (*.f32 (-.f32 1 ux) maxCos)) (*.f32 ux (*.f32 (-.f32 1 ux) maxCos))))) (*.f32 (cos.f32 (*.f32 (*.f32 uy 2) (PI.f32))) xi)) (+.f32 (*.f32 (sqrt.f32 (-.f32 1 (*.f32 (*.f32 ux (*.f32 (-.f32 1 ux) maxCos)) (*.f32 ux (*.f32 (-.f32 1 ux) maxCos))))) (*.f32 (sin.f32 (*.f32 (*.f32 uy 2) (PI.f32))) yi)) (*.f32 (-.f32 1 ux) (*.f32 (*.f32 ux maxCos) zi))))

▶

0.3b

(+.f32 (*.f32 (sqrt.f32 (-.f32 1 (*.f32 (*.f32 ux maxCos) (*.f32 ux (*.f32 (-.f32 1 ux) (*.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (*.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) xi) (*.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))) yi))) (*.f32 ux (*.f32 (-.f32 1 ux) (*.f32 maxCos zi))))

Compiler

Compiled 123 to 87 computations (29.3% saved)

localize304.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 ux (.f32 (-.f32 1 ux) (*.f32 (-.f32 1 ux) maxCos)))
✓	0.2b	(.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) yi)
✓	0.3b	(.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos))
✓	0.3b	(.f32 uy (.f32 2 (PI.f32)))

Compiler

Compiled 250 to 150 computations (40% saved)

series10.0ms (0%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	yi	@	0	(.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) yi)
1.0ms	ux	@	0	(.f32 ux (.f32 (-.f32 1 ux) (*.f32 (-.f32 1 ux) maxCos)))
1.0ms	maxCos	@	-inf	(.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos))
1.0ms	uy	@	0	(.f32 uy (.f32 2 (PI.f32)))
1.0ms	maxCos	@	0	(.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos))

rewrite101.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1538×	`rational.json-1`
1538×	`rational.json-2`
1538×	`rational.json-3`
1536×	`exponential.json-3`
1536×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	96
1	133	96
2	265	96
3	565	96
4	1113	96
5	2725	96
6	5896	96

Stop Event

1×	node limit

Counts

4 → 85

Calls

Call 1

Inputs
(.f32 uy (.f32 2 (PI.f32)))
(.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos))
(.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) yi)
(.f32 ux (.f32 (-.f32 1 ux) (*.f32 (-.f32 1 ux) maxCos)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (PI.f32) (.f32 (PI.f32) (+.f32 uy (+.f32 uy -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 2 (PI.f32)) (.f32 2 (.f32 (PI.f32) (+.f32 uy -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) (+.f32 uy uy)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (PI.f32) (+.f32 uy uy)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 uy (PI.f32)) (+.f32 (PI.f32) (.f32 (PI.f32) (+.f32 uy -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 uy (PI.f32)) (-.f32 (.f32 (PI.f32) (+.f32 uy -1)) (neg.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) 1/2) (.f32 (PI.f32) (-.f32 1/2 (-.f32 1 (+.f32 uy uy)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) (+.f32 uy (+.f32 uy -1))) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) (+.f32 uy (+.f32 uy -1))) (-.f32 (neg.f32 (PI.f32)) (.f32 (PI.f32) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 (.f32 (PI.f32) (+.f32 uy uy)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (PI.f32)) (+.f32 (PI.f32) (.f32 (PI.f32) (+.f32 uy uy))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (PI.f32) (.f32 (PI.f32) (+.f32 uy uy))) (neg.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 2 (.f32 (PI.f32) (+.f32 uy -1))) (.f32 2 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) (+.f32 uy -1)) (+.f32 (PI.f32) (.f32 uy (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) (+.f32 uy -1)) (-.f32 (.f32 (PI.f32) (+.f32 uy -1)) (.f32 (PI.f32) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (.f32 (PI.f32) (+.f32 uy uy)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (.f32 (PI.f32) (+.f32 uy uy)) -1) (-.f32 (PI.f32) (+.f32 (PI.f32) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (PI.f32) -1) (-.f32 (.f32 (PI.f32) (+.f32 uy (+.f32 uy -1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (.f32 (PI.f32) (+.f32 uy (+.f32 uy -1))) -1) (+.f32 (PI.f32) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (.f32 (PI.f32) (+.f32 uy (+.f32 uy -1))) -1) (-.f32 (-.f32 -1 (PI.f32)) (.f32 (PI.f32) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 (PI.f32)) (-.f32 -1 (.f32 (PI.f32) (-.f32 -1 (+.f32 uy uy)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (PI.f32) (.f32 (PI.f32) (+.f32 uy -1))) (.f32 uy (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) -2) (+.f32 (.f32 2 (PI.f32)) (.f32 (PI.f32) (+.f32 uy uy))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) -2) (-.f32 (.f32 (PI.f32) (+.f32 uy uy)) (.f32 (PI.f32) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (.f32 (PI.f32) (+.f32 uy (+.f32 uy -1))) -1) (+.f32 (PI.f32) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) (-.f32 1/2 (-.f32 1 (+.f32 uy uy)))) (.f32 (PI.f32) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (PI.f32) (.f32 uy (PI.f32))) (.f32 (PI.f32) (+.f32 uy -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 -1 (.f32 (PI.f32) (-.f32 -1 (+.f32 uy uy)))) (-.f32 1 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (PI.f32) (.f32 2 (.f32 (PI.f32) (-.f32 1/2 uy))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 2 (PI.f32)) (neg.f32 (.f32 2 (.f32 (PI.f32) (+.f32 uy -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (PI.f32) (+.f32 uy uy)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (.f32 (PI.f32) (neg.f32 (+.f32 uy uy))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (PI.f32) (+.f32 uy (+.f32 uy -1))) (neg.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (neg.f32 (PI.f32)) (.f32 (PI.f32) (-.f32 -1 (+.f32 uy uy))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (PI.f32) (.f32 (PI.f32) (+.f32 uy uy))) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 2 (.f32 (PI.f32) (+.f32 uy -1))) (.f32 (PI.f32) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (.f32 (PI.f32) (+.f32 uy uy)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (.f32 2 (PI.f32)) (PI.f32)) (.f32 2 (.f32 (PI.f32) (-.f32 1/2 uy))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (neg.f32 (PI.f32)) (.f32 (PI.f32) -2)) (.f32 2 (.f32 (PI.f32) (-.f32 1/2 uy))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (PI.f32) (+.f32 uy uy)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (PI.f32) (.f32 uy 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 uy (.f32 (PI.f32) 8)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (PI.f32) (neg.f32 (+.f32 uy uy))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) 8))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 uy (.f32 (PI.f32) 8)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (PI.f32) (neg.f32 (+.f32 uy uy)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 2 (.f32 uy (.f32 (PI.f32) 8)))) (.f32 2 (.f32 2 (.f32 uy (.f32 (PI.f32) 8))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (PI.f32) (+.f32 uy uy)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (.f32 (PI.f32) (neg.f32 (+.f32 uy uy))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 maxCos (/.f32 (.f32 (-.f32 1 ux) (-.f32 1 ux)) 2)) (.f32 maxCos (/.f32 (.f32 (-.f32 1 ux) (-.f32 1 ux)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 maxCos (/.f32 1 (.f32 (-.f32 1 ux) (-.f32 1 ux))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 maxCos maxCos) (.f32 (-.f32 1 ux) (-.f32 1 ux))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos 4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos 4))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos 4))))) (.f32 2 (.f32 2 (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos 4)))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (-.f32 1 ux) (*.f32 (-.f32 1 ux) maxCos)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) yi) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) yi))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (.f32 yi 1/2)) (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (.f32 yi 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) yi) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) yi) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (+.f32 yi yi)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (.f32 yi 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (.f32 yi 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (.f32 yi 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (.f32 yi 4)))) (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (.f32 yi 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) yi) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 ux (.f32 maxCos (/.f32 (.f32 (-.f32 1 ux) (-.f32 1 ux)) 2))) (.f32 ux (.f32 maxCos (/.f32 (.f32 (-.f32 1 ux) (-.f32 1 ux)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 ux (.f32 (+.f32 maxCos maxCos) (.f32 (-.f32 1 ux) (-.f32 1 ux)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 1 ux) (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 ux maxCos) (/.f32 1 (.f32 (-.f32 1 ux) (-.f32 1 ux))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (-.f32 1 ux) (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 (-.f32 1 ux) (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (-.f32 1 ux) (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) 4)))) (.f32 2 (.f32 2 (.f32 (-.f32 1 ux) (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 ux (.f32 (-.f32 1 ux) (*.f32 (-.f32 1 ux) maxCos))) 1)))))

simplify123.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1432×	`rational.json-simplify-51`
1024×	`rational.json-simplify-35`
760×	`rational.json-simplify-61`
758×	`rational.json-simplify-44`
700×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	239	4121
1	560	3967
2	1220	3923
3	3010	3893
4	7338	3893

Stop Event

1×	node limit

Counts

169 → 158

Calls

Call 1

Inputs
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
maxCos
(+.f32 maxCos (.f32 -2 (.f32 maxCos ux)))
(+.f32 (.f32 maxCos (pow.f32 ux 2)) (+.f32 maxCos (.f32 -2 (*.f32 maxCos ux))))
(+.f32 (.f32 maxCos (pow.f32 ux 2)) (+.f32 maxCos (.f32 -2 (*.f32 maxCos ux))))
(*.f32 maxCos (pow.f32 ux 2))
(+.f32 (.f32 maxCos (pow.f32 ux 2)) (.f32 -2 (*.f32 maxCos ux)))
(+.f32 maxCos (+.f32 (.f32 maxCos (pow.f32 ux 2)) (.f32 -2 (*.f32 maxCos ux))))
(+.f32 maxCos (+.f32 (.f32 maxCos (pow.f32 ux 2)) (.f32 -2 (*.f32 maxCos ux))))
(*.f32 maxCos (pow.f32 ux 2))
(+.f32 (.f32 maxCos (pow.f32 ux 2)) (.f32 -2 (*.f32 maxCos ux)))
(+.f32 maxCos (+.f32 (.f32 maxCos (pow.f32 ux 2)) (.f32 -2 (*.f32 maxCos ux))))
(+.f32 maxCos (+.f32 (.f32 maxCos (pow.f32 ux 2)) (.f32 -2 (*.f32 maxCos ux))))
(*.f32 (pow.f32 (-.f32 1 ux) 2) maxCos)
(*.f32 (pow.f32 (-.f32 1 ux) 2) maxCos)
(*.f32 (pow.f32 (-.f32 1 ux) 2) maxCos)
(*.f32 (pow.f32 (-.f32 1 ux) 2) maxCos)
(*.f32 (pow.f32 (-.f32 1 ux) 2) maxCos)
(*.f32 (pow.f32 (-.f32 1 ux) 2) maxCos)
(*.f32 (pow.f32 (-.f32 1 ux) 2) maxCos)
(*.f32 (pow.f32 (-.f32 1 ux) 2) maxCos)
(*.f32 (pow.f32 (-.f32 1 ux) 2) maxCos)
(*.f32 (pow.f32 (-.f32 1 ux) 2) maxCos)
(*.f32 (pow.f32 (-.f32 1 ux) 2) maxCos)
(*.f32 (pow.f32 (-.f32 1 ux) 2) maxCos)
(.f32 2 (.f32 uy (*.f32 yi (PI.f32))))
(+.f32 (.f32 -4/3 (.f32 (pow.f32 uy 3) (.f32 yi (pow.f32 (PI.f32) 3)))) (.f32 2 (.f32 uy (.f32 yi (PI.f32)))))
(+.f32 (.f32 4/15 (.f32 (pow.f32 uy 5) (.f32 yi (pow.f32 (PI.f32) 5)))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 uy 3) (.f32 yi (pow.f32 (PI.f32) 3)))) (.f32 2 (.f32 uy (*.f32 yi (PI.f32))))))
(+.f32 (.f32 4/15 (.f32 (pow.f32 uy 5) (.f32 yi (pow.f32 (PI.f32) 5)))) (+.f32 (.f32 -8/315 (.f32 (pow.f32 uy 7) (.f32 yi (pow.f32 (PI.f32) 7)))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 uy 3) (.f32 yi (pow.f32 (PI.f32) 3)))) (.f32 2 (.f32 uy (.f32 yi (PI.f32)))))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(*.f32 maxCos ux)
(+.f32 (.f32 maxCos ux) (.f32 -2 (*.f32 maxCos (pow.f32 ux 2))))
(+.f32 (.f32 maxCos (pow.f32 ux 3)) (+.f32 (.f32 maxCos ux) (.f32 -2 (.f32 maxCos (pow.f32 ux 2)))))
(+.f32 (.f32 maxCos (pow.f32 ux 3)) (+.f32 (.f32 maxCos ux) (.f32 -2 (.f32 maxCos (pow.f32 ux 2)))))
(*.f32 maxCos (pow.f32 ux 3))
(+.f32 (.f32 maxCos (pow.f32 ux 3)) (.f32 -2 (*.f32 maxCos (pow.f32 ux 2))))
(+.f32 (.f32 maxCos ux) (+.f32 (.f32 maxCos (pow.f32 ux 3)) (.f32 -2 (.f32 maxCos (pow.f32 ux 2)))))
(+.f32 (.f32 maxCos ux) (+.f32 (.f32 maxCos (pow.f32 ux 3)) (.f32 -2 (.f32 maxCos (pow.f32 ux 2)))))
(*.f32 maxCos (pow.f32 ux 3))
(+.f32 (.f32 maxCos (pow.f32 ux 3)) (.f32 -2 (*.f32 maxCos (pow.f32 ux 2))))
(+.f32 (.f32 maxCos ux) (+.f32 (.f32 maxCos (pow.f32 ux 3)) (.f32 -2 (.f32 maxCos (pow.f32 ux 2)))))
(+.f32 (.f32 maxCos ux) (+.f32 (.f32 maxCos (pow.f32 ux 3)) (.f32 -2 (.f32 maxCos (pow.f32 ux 2)))))
(.f32 (pow.f32 (-.f32 1 ux) 2) (.f32 maxCos ux))
(.f32 (pow.f32 (-.f32 1 ux) 2) (.f32 maxCos ux))
(.f32 (pow.f32 (-.f32 1 ux) 2) (.f32 maxCos ux))
(.f32 (pow.f32 (-.f32 1 ux) 2) (.f32 maxCos ux))
(.f32 (pow.f32 (-.f32 1 ux) 2) (.f32 maxCos ux))
(.f32 (pow.f32 (-.f32 1 ux) 2) (.f32 maxCos ux))
(.f32 (pow.f32 (-.f32 1 ux) 2) (.f32 maxCos ux))
(.f32 (pow.f32 (-.f32 1 ux) 2) (.f32 maxCos ux))
(.f32 (pow.f32 (-.f32 1 ux) 2) (.f32 maxCos ux))
(.f32 (pow.f32 (-.f32 1 ux) 2) (.f32 maxCos ux))
(.f32 (pow.f32 (-.f32 1 ux) 2) (.f32 maxCos ux))
(.f32 (pow.f32 (-.f32 1 ux) 2) (.f32 maxCos ux))
(+.f32 (PI.f32) (*.f32 (PI.f32) (+.f32 uy (+.f32 uy -1))))
(+.f32 (.f32 2 (PI.f32)) (.f32 2 (*.f32 (PI.f32) (+.f32 uy -1))))
(+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 0)
(+.f32 0 (*.f32 (PI.f32) (+.f32 uy uy)))
(+.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32)))
(+.f32 (.f32 uy (PI.f32)) (+.f32 (PI.f32) (.f32 (PI.f32) (+.f32 uy -1))))
(+.f32 (.f32 uy (PI.f32)) (-.f32 (.f32 (PI.f32) (+.f32 uy -1)) (neg.f32 (PI.f32))))
(+.f32 (.f32 (PI.f32) 1/2) (.f32 (PI.f32) (-.f32 1/2 (-.f32 1 (+.f32 uy uy)))))
(+.f32 (*.f32 (PI.f32) (+.f32 uy (+.f32 uy -1))) (PI.f32))
(+.f32 (.f32 (PI.f32) (+.f32 uy (+.f32 uy -1))) (-.f32 (neg.f32 (PI.f32)) (.f32 (PI.f32) -2)))
(+.f32 -1 (-.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -1))
(+.f32 (neg.f32 (PI.f32)) (+.f32 (PI.f32) (*.f32 (PI.f32) (+.f32 uy uy))))
(+.f32 (+.f32 (PI.f32) (*.f32 (PI.f32) (+.f32 uy uy))) (neg.f32 (PI.f32)))
(+.f32 (.f32 2 (.f32 (PI.f32) (+.f32 uy -1))) (*.f32 2 (PI.f32)))
(+.f32 (.f32 (PI.f32) (+.f32 uy -1)) (+.f32 (PI.f32) (.f32 uy (PI.f32))))
(+.f32 (.f32 (PI.f32) (+.f32 uy -1)) (-.f32 (.f32 (PI.f32) (+.f32 uy -1)) (*.f32 (PI.f32) -2)))
(+.f32 (-.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -1) -1)
(+.f32 (-.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -1) (-.f32 (PI.f32) (+.f32 (PI.f32) 1)))
(+.f32 (+.f32 (PI.f32) -1) (-.f32 (*.f32 (PI.f32) (+.f32 uy (+.f32 uy -1))) -1))
(+.f32 (-.f32 (*.f32 (PI.f32) (+.f32 uy (+.f32 uy -1))) -1) (+.f32 (PI.f32) -1))
(+.f32 (-.f32 (.f32 (PI.f32) (+.f32 uy (+.f32 uy -1))) -1) (-.f32 (-.f32 -1 (PI.f32)) (.f32 (PI.f32) -2)))
(+.f32 (-.f32 1 (PI.f32)) (-.f32 -1 (*.f32 (PI.f32) (-.f32 -1 (+.f32 uy uy)))))
(+.f32 (+.f32 (PI.f32) (.f32 (PI.f32) (+.f32 uy -1))) (.f32 uy (PI.f32)))
(+.f32 (.f32 (PI.f32) -2) (+.f32 (.f32 2 (PI.f32)) (*.f32 (PI.f32) (+.f32 uy uy))))
(+.f32 (.f32 (PI.f32) -2) (-.f32 (.f32 (PI.f32) (+.f32 uy uy)) (*.f32 (PI.f32) -2)))
(+.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy (+.f32 uy -1))) -1) (+.f32 (PI.f32) 1))
(+.f32 (.f32 (PI.f32) (-.f32 1/2 (-.f32 1 (+.f32 uy uy)))) (.f32 (PI.f32) 1/2))
(+.f32 (+.f32 (PI.f32) (.f32 uy (PI.f32))) (.f32 (PI.f32) (+.f32 uy -1)))
(+.f32 (-.f32 -1 (*.f32 (PI.f32) (-.f32 -1 (+.f32 uy uy)))) (-.f32 1 (PI.f32)))
(-.f32 (PI.f32) (.f32 2 (.f32 (PI.f32) (-.f32 1/2 uy))))
(-.f32 (.f32 2 (PI.f32)) (neg.f32 (.f32 2 (*.f32 (PI.f32) (+.f32 uy -1)))))
(-.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 0)
(-.f32 0 (*.f32 (PI.f32) (neg.f32 (+.f32 uy uy))))
(-.f32 (*.f32 (PI.f32) (+.f32 uy (+.f32 uy -1))) (neg.f32 (PI.f32)))
(-.f32 (neg.f32 (PI.f32)) (*.f32 (PI.f32) (-.f32 -1 (+.f32 uy uy))))
(-.f32 (+.f32 (PI.f32) (*.f32 (PI.f32) (+.f32 uy uy))) (PI.f32))
(-.f32 (.f32 2 (.f32 (PI.f32) (+.f32 uy -1))) (*.f32 (PI.f32) -2))
(-.f32 (-.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -1) 1)
(-.f32 (-.f32 (.f32 2 (PI.f32)) (PI.f32)) (.f32 2 (*.f32 (PI.f32) (-.f32 1/2 uy))))
(-.f32 (-.f32 (neg.f32 (PI.f32)) (.f32 (PI.f32) -2)) (.f32 2 (*.f32 (PI.f32) (-.f32 1/2 uy))))
(/.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1)
(/.f32 (.f32 (PI.f32) (.f32 uy 4)) 2)
(/.f32 (.f32 uy (.f32 (PI.f32) 8)) 4)
(/.f32 (*.f32 (PI.f32) (neg.f32 (+.f32 uy uy))) -1)
(/.f32 (.f32 2 (.f32 uy (*.f32 (PI.f32) 8))) 8)
(/.f32 (.f32 2 (.f32 2 (.f32 uy (.f32 (PI.f32) 8)))) 16)
(/.f32 (.f32 2 (.f32 (PI.f32) (neg.f32 (+.f32 uy uy)))) -2)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 uy (.f32 (PI.f32) 8)))) (.f32 2 (.f32 2 (.f32 uy (.f32 (PI.f32) 8))))) 32)
(pow.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1)
(neg.f32 (*.f32 (PI.f32) (neg.f32 (+.f32 uy uy))))
(+.f32 (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)) 0)
(+.f32 0 (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))
(+.f32 (.f32 maxCos (/.f32 (.f32 (-.f32 1 ux) (-.f32 1 ux)) 2)) (.f32 maxCos (/.f32 (.f32 (-.f32 1 ux) (-.f32 1 ux)) 2)))
(-.f32 (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)) 0)
(/.f32 maxCos (/.f32 1 (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(/.f32 (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)) 1)
(/.f32 (.f32 (+.f32 maxCos maxCos) (.f32 (-.f32 1 ux) (-.f32 1 ux))) 2)
(/.f32 (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (*.f32 maxCos 4))) 4)
(/.f32 (.f32 2 (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos 4)))) 8)
(/.f32 (.f32 2 (.f32 2 (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (*.f32 maxCos 4))))) 16)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos 4))))) (.f32 2 (.f32 2 (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos 4)))))) 32)
(pow.f32 (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)) 1)
(+.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) yi) 0)
(+.f32 0 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) yi))
(+.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (.f32 yi 1/2)) (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (.f32 yi 1/2)))
(-.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) yi) 0)
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) yi) 1)
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (+.f32 yi yi)) 2)
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (*.f32 yi 4)) 4)
(/.f32 (.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (.f32 yi 4))) 8)
(/.f32 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (*.f32 yi 4)))) 16)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (.f32 yi 4)))) (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (.f32 yi 4))))) 32)
(pow.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) yi) 1)
(+.f32 (.f32 ux (.f32 (-.f32 1 ux) (*.f32 (-.f32 1 ux) maxCos))) 0)
(+.f32 0 (.f32 ux (.f32 (-.f32 1 ux) (*.f32 (-.f32 1 ux) maxCos))))
(+.f32 (.f32 ux (.f32 maxCos (/.f32 (.f32 (-.f32 1 ux) (-.f32 1 ux)) 2))) (.f32 ux (.f32 maxCos (/.f32 (.f32 (-.f32 1 ux) (-.f32 1 ux)) 2))))
(-.f32 (.f32 ux (.f32 (-.f32 1 ux) (*.f32 (-.f32 1 ux) maxCos))) 0)
(/.f32 (.f32 ux (.f32 (-.f32 1 ux) (*.f32 (-.f32 1 ux) maxCos))) 1)
(/.f32 (.f32 ux (.f32 (+.f32 maxCos maxCos) (*.f32 (-.f32 1 ux) (-.f32 1 ux)))) 2)
(/.f32 (.f32 (-.f32 1 ux) (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) 4)) 4)
(/.f32 (.f32 ux maxCos) (/.f32 1 (.f32 (-.f32 1 ux) (-.f32 1 ux))))
(/.f32 (.f32 2 (.f32 (-.f32 1 ux) (.f32 (.f32 ux (*.f32 (-.f32 1 ux) maxCos)) 4))) 8)
(/.f32 (.f32 2 (.f32 2 (.f32 (-.f32 1 ux) (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) 4)))) 16)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (-.f32 1 ux) (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) 4)))) (.f32 2 (.f32 2 (.f32 (-.f32 1 ux) (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) 4))))) 32)
(pow.f32 (.f32 ux (.f32 (-.f32 1 ux) (*.f32 (-.f32 1 ux) maxCos))) 1)

Outputs
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
maxCos
(+.f32 maxCos (.f32 -2 (.f32 maxCos ux)))
(+.f32 maxCos (.f32 maxCos (.f32 ux -2)))
(+.f32 maxCos (.f32 maxCos (.f32 -2 ux)))
(+.f32 (.f32 maxCos (pow.f32 ux 2)) (+.f32 maxCos (.f32 -2 (*.f32 maxCos ux))))
(+.f32 maxCos (+.f32 (.f32 maxCos (.f32 ux -2)) (*.f32 maxCos (pow.f32 ux 2))))
(+.f32 maxCos (.f32 maxCos (+.f32 (pow.f32 ux 2) (.f32 -2 ux))))
(+.f32 (.f32 maxCos (pow.f32 ux 2)) (+.f32 maxCos (.f32 -2 (*.f32 maxCos ux))))
(+.f32 maxCos (+.f32 (.f32 maxCos (.f32 ux -2)) (*.f32 maxCos (pow.f32 ux 2))))
(+.f32 maxCos (.f32 maxCos (+.f32 (pow.f32 ux 2) (.f32 -2 ux))))
(*.f32 maxCos (pow.f32 ux 2))
(+.f32 (.f32 maxCos (pow.f32 ux 2)) (.f32 -2 (*.f32 maxCos ux)))
(+.f32 (.f32 maxCos (.f32 ux -2)) (*.f32 maxCos (pow.f32 ux 2)))
(.f32 maxCos (+.f32 (pow.f32 ux 2) (.f32 -2 ux)))
(+.f32 maxCos (+.f32 (.f32 maxCos (pow.f32 ux 2)) (.f32 -2 (*.f32 maxCos ux))))
(+.f32 maxCos (+.f32 (.f32 maxCos (.f32 ux -2)) (*.f32 maxCos (pow.f32 ux 2))))
(+.f32 maxCos (.f32 maxCos (+.f32 (pow.f32 ux 2) (.f32 -2 ux))))
(+.f32 maxCos (+.f32 (.f32 maxCos (pow.f32 ux 2)) (.f32 -2 (*.f32 maxCos ux))))
(+.f32 maxCos (+.f32 (.f32 maxCos (.f32 ux -2)) (*.f32 maxCos (pow.f32 ux 2))))
(+.f32 maxCos (.f32 maxCos (+.f32 (pow.f32 ux 2) (.f32 -2 ux))))
(*.f32 maxCos (pow.f32 ux 2))
(+.f32 (.f32 maxCos (pow.f32 ux 2)) (.f32 -2 (*.f32 maxCos ux)))
(+.f32 (.f32 maxCos (.f32 ux -2)) (*.f32 maxCos (pow.f32 ux 2)))
(.f32 maxCos (+.f32 (pow.f32 ux 2) (.f32 -2 ux)))
(+.f32 maxCos (+.f32 (.f32 maxCos (pow.f32 ux 2)) (.f32 -2 (*.f32 maxCos ux))))
(+.f32 maxCos (+.f32 (.f32 maxCos (.f32 ux -2)) (*.f32 maxCos (pow.f32 ux 2))))
(+.f32 maxCos (.f32 maxCos (+.f32 (pow.f32 ux 2) (.f32 -2 ux))))
(+.f32 maxCos (+.f32 (.f32 maxCos (pow.f32 ux 2)) (.f32 -2 (*.f32 maxCos ux))))
(+.f32 maxCos (+.f32 (.f32 maxCos (.f32 ux -2)) (*.f32 maxCos (pow.f32 ux 2))))
(+.f32 maxCos (.f32 maxCos (+.f32 (pow.f32 ux 2) (.f32 -2 ux))))
(*.f32 (pow.f32 (-.f32 1 ux) 2) maxCos)
(*.f32 maxCos (pow.f32 (-.f32 1 ux) 2))
(*.f32 (pow.f32 (-.f32 1 ux) 2) maxCos)
(*.f32 maxCos (pow.f32 (-.f32 1 ux) 2))
(*.f32 (pow.f32 (-.f32 1 ux) 2) maxCos)
(*.f32 maxCos (pow.f32 (-.f32 1 ux) 2))
(*.f32 (pow.f32 (-.f32 1 ux) 2) maxCos)
(*.f32 maxCos (pow.f32 (-.f32 1 ux) 2))
(*.f32 (pow.f32 (-.f32 1 ux) 2) maxCos)
(*.f32 maxCos (pow.f32 (-.f32 1 ux) 2))
(*.f32 (pow.f32 (-.f32 1 ux) 2) maxCos)
(*.f32 maxCos (pow.f32 (-.f32 1 ux) 2))
(*.f32 (pow.f32 (-.f32 1 ux) 2) maxCos)
(*.f32 maxCos (pow.f32 (-.f32 1 ux) 2))
(*.f32 (pow.f32 (-.f32 1 ux) 2) maxCos)
(*.f32 maxCos (pow.f32 (-.f32 1 ux) 2))
(*.f32 (pow.f32 (-.f32 1 ux) 2) maxCos)
(*.f32 maxCos (pow.f32 (-.f32 1 ux) 2))
(*.f32 (pow.f32 (-.f32 1 ux) 2) maxCos)
(*.f32 maxCos (pow.f32 (-.f32 1 ux) 2))
(*.f32 (pow.f32 (-.f32 1 ux) 2) maxCos)
(*.f32 maxCos (pow.f32 (-.f32 1 ux) 2))
(*.f32 (pow.f32 (-.f32 1 ux) 2) maxCos)
(*.f32 maxCos (pow.f32 (-.f32 1 ux) 2))
(.f32 2 (.f32 uy (*.f32 yi (PI.f32))))
(.f32 2 (.f32 uy (*.f32 (PI.f32) yi)))
(.f32 yi (.f32 (PI.f32) (*.f32 2 uy)))
(.f32 2 (.f32 (PI.f32) (*.f32 uy yi)))
(+.f32 (.f32 -4/3 (.f32 (pow.f32 uy 3) (.f32 yi (pow.f32 (PI.f32) 3)))) (.f32 2 (.f32 uy (.f32 yi (PI.f32)))))
(+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 -4/3 (.f32 yi (.f32 (pow.f32 (PI.f32) 3) (pow.f32 uy 3)))))
(+.f32 (.f32 yi (.f32 (PI.f32) (.f32 2 uy))) (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3)))
(+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) (.f32 -4/3 yi)))
(.f32 yi (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (.f32 2 (*.f32 uy (PI.f32)))))
(+.f32 (.f32 4/15 (.f32 (pow.f32 uy 5) (.f32 yi (pow.f32 (PI.f32) 5)))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 uy 3) (.f32 yi (pow.f32 (PI.f32) 3)))) (.f32 2 (.f32 uy (*.f32 yi (PI.f32))))))
(+.f32 (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 -4/3 (.f32 yi (.f32 (pow.f32 (PI.f32) 3) (pow.f32 uy 3))))) (.f32 4/15 (.f32 yi (*.f32 (pow.f32 (PI.f32) 5) (pow.f32 uy 5)))))
(+.f32 (.f32 yi (.f32 (PI.f32) (.f32 2 uy))) (+.f32 (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 5) 4/15)) (.f32 yi (.f32 (pow.f32 (*.f32 uy (PI.f32)) 3) -4/3))))
(+.f32 (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) (.f32 -4/3 yi))) (.f32 yi (.f32 4/15 (pow.f32 (*.f32 uy (PI.f32)) 5))))
(+.f32 (.f32 yi (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (.f32 2 (.f32 uy (PI.f32))))) (.f32 yi (.f32 4/15 (pow.f32 (.f32 uy (PI.f32)) 5))))
(+.f32 (.f32 4/15 (.f32 (pow.f32 uy 5) (.f32 yi (pow.f32 (PI.f32) 5)))) (+.f32 (.f32 -8/315 (.f32 (pow.f32 uy 7) (.f32 yi (pow.f32 (PI.f32) 7)))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 uy 3) (.f32 yi (pow.f32 (PI.f32) 3)))) (.f32 2 (.f32 uy (.f32 yi (PI.f32)))))))
(+.f32 (.f32 4/15 (.f32 yi (.f32 (pow.f32 (PI.f32) 5) (pow.f32 uy 5)))) (+.f32 (.f32 -4/3 (.f32 yi (.f32 (pow.f32 (PI.f32) 3) (pow.f32 uy 3)))) (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 -8/315 (.f32 (pow.f32 uy 7) (.f32 yi (pow.f32 (PI.f32) 7)))))))
(+.f32 (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3)) (+.f32 (+.f32 (.f32 yi (.f32 (PI.f32) (.f32 2 uy))) (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 7) -8/315))) (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 5) 4/15))))
(+.f32 (.f32 yi (.f32 4/15 (pow.f32 (.f32 uy (PI.f32)) 5))) (+.f32 (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) (.f32 -4/3 yi))) (.f32 -8/315 (.f32 yi (pow.f32 (.f32 uy (PI.f32)) 7)))))
(+.f32 (.f32 yi (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (.f32 2 (.f32 uy (PI.f32))))) (.f32 yi (+.f32 (.f32 -8/315 (pow.f32 (.f32 uy (PI.f32)) 7)) (.f32 4/15 (pow.f32 (.f32 uy (PI.f32)) 5)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 2 uy))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 2 uy))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 2 uy))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 2 uy))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 2 uy))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 2 uy))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 2 uy))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 2 uy))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 2 uy))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 2 uy))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 2 uy))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
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(neg.f32 (*.f32 (PI.f32) (neg.f32 (+.f32 uy uy))))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)) 0)
(.f32 (-.f32 1 ux) (.f32 maxCos (-.f32 1 ux)))
(.f32 maxCos (.f32 (-.f32 1 ux) (-.f32 1 ux)))
(+.f32 0 (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))
(.f32 (-.f32 1 ux) (.f32 maxCos (-.f32 1 ux)))
(.f32 maxCos (.f32 (-.f32 1 ux) (-.f32 1 ux)))
(+.f32 (.f32 maxCos (/.f32 (.f32 (-.f32 1 ux) (-.f32 1 ux)) 2)) (.f32 maxCos (/.f32 (.f32 (-.f32 1 ux) (-.f32 1 ux)) 2)))
(.f32 (-.f32 1 ux) (.f32 maxCos (-.f32 1 ux)))
(.f32 maxCos (.f32 (-.f32 1 ux) (-.f32 1 ux)))
(-.f32 (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)) 0)
(.f32 (-.f32 1 ux) (.f32 maxCos (-.f32 1 ux)))
(.f32 maxCos (.f32 (-.f32 1 ux) (-.f32 1 ux)))
(/.f32 maxCos (/.f32 1 (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(*.f32 (-.f32 1 ux) (/.f32 (-.f32 1 ux) (/.f32 1 maxCos)))
(*.f32 (-.f32 1 ux) (/.f32 maxCos (/.f32 1 (-.f32 1 ux))))
(/.f32 (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)) 1)
(.f32 (-.f32 1 ux) (.f32 maxCos (-.f32 1 ux)))
(.f32 maxCos (.f32 (-.f32 1 ux) (-.f32 1 ux)))
(/.f32 (.f32 (+.f32 maxCos maxCos) (.f32 (-.f32 1 ux) (-.f32 1 ux))) 2)
(.f32 (-.f32 1 ux) (.f32 maxCos (-.f32 1 ux)))
(.f32 maxCos (.f32 (-.f32 1 ux) (-.f32 1 ux)))
(/.f32 (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (*.f32 maxCos 4))) 4)
(.f32 (-.f32 1 ux) (.f32 maxCos (-.f32 1 ux)))
(.f32 maxCos (.f32 (-.f32 1 ux) (-.f32 1 ux)))
(/.f32 (.f32 2 (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos 4)))) 8)
(.f32 (-.f32 1 ux) (.f32 maxCos (-.f32 1 ux)))
(.f32 maxCos (.f32 (-.f32 1 ux) (-.f32 1 ux)))
(/.f32 (.f32 2 (.f32 2 (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (*.f32 maxCos 4))))) 16)
(.f32 (-.f32 1 ux) (.f32 maxCos (-.f32 1 ux)))
(.f32 maxCos (.f32 (-.f32 1 ux) (-.f32 1 ux)))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos 4))))) (.f32 2 (.f32 2 (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos 4)))))) 32)
(.f32 (-.f32 1 ux) (.f32 maxCos (-.f32 1 ux)))
(.f32 maxCos (.f32 (-.f32 1 ux) (-.f32 1 ux)))
(pow.f32 (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)) 1)
(.f32 (-.f32 1 ux) (.f32 maxCos (-.f32 1 ux)))
(.f32 maxCos (.f32 (-.f32 1 ux) (-.f32 1 ux)))
(+.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) yi) 0)
(.f32 yi (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 2 uy))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(+.f32 0 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) yi))
(.f32 yi (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 2 uy))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(+.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (.f32 yi 1/2)) (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (.f32 yi 1/2)))
(.f32 yi (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 2 uy))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(-.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) yi) 0)
(.f32 yi (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 2 uy))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) yi) 1)
(.f32 yi (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 2 uy))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (+.f32 yi yi)) 2)
(.f32 yi (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 2 uy))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (*.f32 yi 4)) 4)
(.f32 yi (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 2 uy))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(/.f32 (.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (.f32 yi 4))) 8)
(.f32 yi (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 2 uy))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(/.f32 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (*.f32 yi 4)))) 16)
(.f32 yi (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 2 uy))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (.f32 yi 4)))) (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (.f32 yi 4))))) 32)
(.f32 yi (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 2 uy))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(pow.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) yi) 1)
(.f32 yi (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 2 uy))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(+.f32 (.f32 ux (.f32 (-.f32 1 ux) (*.f32 (-.f32 1 ux) maxCos))) 0)
(.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos (-.f32 1 ux))))
(.f32 ux (.f32 maxCos (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(+.f32 0 (.f32 ux (.f32 (-.f32 1 ux) (*.f32 (-.f32 1 ux) maxCos))))
(.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos (-.f32 1 ux))))
(.f32 ux (.f32 maxCos (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(+.f32 (.f32 ux (.f32 maxCos (/.f32 (.f32 (-.f32 1 ux) (-.f32 1 ux)) 2))) (.f32 ux (.f32 maxCos (/.f32 (.f32 (-.f32 1 ux) (-.f32 1 ux)) 2))))
(.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos (-.f32 1 ux))))
(.f32 ux (.f32 maxCos (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(-.f32 (.f32 ux (.f32 (-.f32 1 ux) (*.f32 (-.f32 1 ux) maxCos))) 0)
(.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos (-.f32 1 ux))))
(.f32 ux (.f32 maxCos (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(/.f32 (.f32 ux (.f32 (-.f32 1 ux) (*.f32 (-.f32 1 ux) maxCos))) 1)
(.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos (-.f32 1 ux))))
(.f32 ux (.f32 maxCos (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(/.f32 (.f32 ux (.f32 (+.f32 maxCos maxCos) (*.f32 (-.f32 1 ux) (-.f32 1 ux)))) 2)
(.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos (-.f32 1 ux))))
(.f32 ux (.f32 maxCos (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(/.f32 (.f32 (-.f32 1 ux) (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) 4)) 4)
(.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos (-.f32 1 ux))))
(.f32 ux (.f32 maxCos (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(/.f32 (.f32 ux maxCos) (/.f32 1 (.f32 (-.f32 1 ux) (-.f32 1 ux))))
(.f32 maxCos (/.f32 ux (/.f32 1 (.f32 (-.f32 1 ux) (-.f32 1 ux)))))
(.f32 (-.f32 1 ux) (/.f32 (-.f32 1 ux) (/.f32 1 (.f32 maxCos ux))))
(/.f32 maxCos (/.f32 (/.f32 1 ux) (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(/.f32 (.f32 2 (.f32 (-.f32 1 ux) (.f32 (.f32 ux (*.f32 (-.f32 1 ux) maxCos)) 4))) 8)
(.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos (-.f32 1 ux))))
(.f32 ux (.f32 maxCos (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(/.f32 (.f32 2 (.f32 2 (.f32 (-.f32 1 ux) (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) 4)))) 16)
(.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos (-.f32 1 ux))))
(.f32 ux (.f32 maxCos (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (-.f32 1 ux) (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) 4)))) (.f32 2 (.f32 2 (.f32 (-.f32 1 ux) (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) 4))))) 32)
(.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos (-.f32 1 ux))))
(.f32 ux (.f32 maxCos (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(pow.f32 (.f32 ux (.f32 (-.f32 1 ux) (*.f32 (-.f32 1 ux) maxCos))) 1)
(.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos (-.f32 1 ux))))
(.f32 ux (.f32 maxCos (*.f32 (-.f32 1 ux) (-.f32 1 ux))))

localize290.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(sin.f32 (.f32 (.f32 uy 2) (PI.f32)))
✓	0.2b	(.f32 ux (.f32 (-.f32 1 ux) maxCos))
✓	0.2b	(.f32 (sin.f32 (.f32 (*.f32 uy 2) (PI.f32))) yi)
✓	0.3b	(.f32 (.f32 uy 2) (PI.f32))

Compiler

Compiled 289 to 177 computations (38.8% saved)

series3.0ms (0%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	maxCos	@	inf	(.f32 ux (.f32 (-.f32 1 ux) maxCos))
0.0ms	ux	@	-inf	(.f32 ux (.f32 (-.f32 1 ux) maxCos))
0.0ms	ux	@	inf	(.f32 ux (.f32 (-.f32 1 ux) maxCos))
0.0ms	maxCos	@	-inf	(.f32 ux (.f32 (-.f32 1 ux) maxCos))
0.0ms	ux	@	0	(.f32 ux (.f32 (-.f32 1 ux) maxCos))

rewrite125.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2024×	`rational.json-1`
1330×	`rational.json-simplify-35`
1204×	`exponential.json-3`
1204×	`rational.json-2`
1204×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	78
1	125	78
2	247	78
3	512	78
4	987	78
5	2484	78
6	5202	78
7	7975	78

Stop Event

1×	node limit

Counts

4 → 105

Calls

Call 1

Inputs
(.f32 (.f32 uy 2) (PI.f32))
(.f32 (sin.f32 (.f32 (*.f32 uy 2) (PI.f32))) yi)
(.f32 ux (.f32 (-.f32 1 ux) maxCos))
(sin.f32 (.f32 (.f32 uy 2) (PI.f32)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (PI.f32) (.f32 (.f32 2 (PI.f32)) (+.f32 uy -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 uy (.f32 2 (PI.f32))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 uy (.f32 2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) 1/2) (.f32 (PI.f32) (-.f32 (+.f32 uy uy) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 2 (PI.f32)) (.f32 2 (.f32 (PI.f32) (+.f32 uy -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 2 (PI.f32)) (+.f32 uy -1/2)) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (+.f32 1 (.f32 uy (.f32 2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (PI.f32)) (.f32 (PI.f32) (+.f32 1 (+.f32 uy uy))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 -1 (PI.f32)) (-.f32 1 (.f32 (PI.f32) (-.f32 -1 (+.f32 uy uy)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) (+.f32 1 (+.f32 uy uy))) (neg.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 2 (.f32 (PI.f32) (+.f32 uy -1))) (.f32 2 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (PI.f32) -1) (+.f32 1 (.f32 (.f32 2 (PI.f32)) (+.f32 uy -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (.f32 uy (.f32 2 (PI.f32)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (.f32 uy (.f32 2 (PI.f32)))) (-.f32 (PI.f32) (+.f32 (PI.f32) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (.f32 (.f32 2 (PI.f32)) (+.f32 uy -1/2))) (+.f32 (PI.f32) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (.f32 (.f32 2 (PI.f32)) (+.f32 uy -1/2))) (-.f32 (-.f32 -1 (PI.f32)) (.f32 (PI.f32) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 (PI.f32)) (-.f32 -1 (.f32 (PI.f32) (-.f32 -1 (+.f32 uy uy)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) -2) (.f32 2 (.f32 (PI.f32) (-.f32 uy -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) -2) (-.f32 (.f32 uy (.f32 2 (PI.f32))) (.f32 (PI.f32) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) (+.f32 uy -1/2)) -1) (+.f32 (PI.f32) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) (-.f32 uy -1)) (.f32 (PI.f32) (+.f32 uy -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) (-.f32 (+.f32 uy uy) 1/2)) (.f32 (PI.f32) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) (+.f32 uy -1)) (.f32 (PI.f32) (-.f32 uy -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 -1 (.f32 (PI.f32) (-.f32 -1 (+.f32 uy uy)))) (-.f32 1 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 -1 (.f32 (PI.f32) -2)) (-.f32 1 (.f32 2 (.f32 (PI.f32) (-.f32 1 uy)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (PI.f32) (.f32 2 (.f32 (PI.f32) (-.f32 1/2 uy))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 uy (.f32 2 (PI.f32))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (.f32 (PI.f32) (neg.f32 (+.f32 uy uy))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 2 (PI.f32)) (.f32 2 (.f32 (PI.f32) (-.f32 1 uy))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (.f32 2 (PI.f32)) (+.f32 uy -1/2)) (neg.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (neg.f32 (PI.f32)) (.f32 (PI.f32) (-.f32 -1 (+.f32 uy uy))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (PI.f32) (+.f32 1 (+.f32 uy uy))) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 2 (.f32 (PI.f32) (+.f32 uy -1))) (.f32 (PI.f32) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (.f32 uy (.f32 2 (PI.f32)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 uy (.f32 2 (PI.f32))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 uy (.f32 (PI.f32) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (PI.f32) (.f32 uy 8)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (PI.f32) (neg.f32 (+.f32 uy uy))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (PI.f32) (.f32 uy 8))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 (PI.f32) (.f32 uy 8)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (PI.f32) (neg.f32 (+.f32 uy uy)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (PI.f32) (.f32 uy 8))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 (PI.f32) (neg.f32 (+.f32 uy uy))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (.f32 2 (.f32 (PI.f32) (neg.f32 (+.f32 uy uy))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (PI.f32) (.f32 uy 8))))) (.f32 2 (.f32 2 (.f32 2 (.f32 (PI.f32) (.f32 uy 8)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (neg.f32 (.f32 2 (.f32 (PI.f32) (neg.f32 (+.f32 uy uy))))) (neg.f32 (.f32 2 (.f32 (PI.f32) (neg.f32 (+.f32 uy uy)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 uy (.f32 2 (PI.f32))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (.f32 (PI.f32) (neg.f32 (+.f32 uy uy))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 yi 1/2)) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 yi 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) (+.f32 yi yi)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 yi 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 yi 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 yi 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 yi 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 yi 4))))) (.f32 2 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 yi 4)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 ux (.f32 (-.f32 1 ux) maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (-.f32 1 ux) (.f32 ux (.f32 maxCos 1/2))) (.f32 (-.f32 1 ux) (.f32 ux (.f32 maxCos 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 1 ux) (.f32 ux (+.f32 maxCos maxCos))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos 4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos 4))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos 4)))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos 4)))))) (.f32 2 (.f32 2 (.f32 2 (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos 4))))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 1 (sin.f32 (.f32 (PI.f32) (neg.f32 (+.f32 uy uy))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 1/2) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 (sin.f32 (.f32 (PI.f32) (neg.f32 (+.f32 uy uy))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (sin.f32 (.f32 (PI.f32) (neg.f32 (+.f32 uy uy)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 1 (sin.f32 (.f32 (PI.f32) (neg.f32 (+.f32 uy uy))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 4 (/.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (sin.f32 (.f32 uy (.f32 2 (PI.f32))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 2 (sin.f32 (.f32 uy (.f32 2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (sin.f32 (.f32 (PI.f32) (neg.f32 (+.f32 uy uy)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/4 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sin.f32 (.f32 (PI.f32) (neg.f32 (+.f32 uy uy)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (sin.f32 (.f32 uy (.f32 2 (PI.f32))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sin.f32 (.f32 (PI.f32) (neg.f32 (+.f32 uy uy)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (sin.f32 (.f32 (PI.f32) (neg.f32 (+.f32 uy uy))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (sin.f32 (.f32 (PI.f32) (neg.f32 (+.f32 uy uy))))) (.f32 2 (sin.f32 (.f32 (PI.f32) (neg.f32 (+.f32 uy uy)))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 4)))) (.f32 2 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (sin.f32 (*.f32 (PI.f32) (neg.f32 (+.f32 uy uy)))))))))

simplify193.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1632×	`rational.json-simplify-35`
1518×	`rational.json-simplify-51`
942×	`rational.json-simplify-1`
828×	`rational.json-simplify-2`
784×	`exponential.json-simplify-26`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	272	4117
1	611	3987
2	1459	3955
3	3053	3931
4	5564	3911
5	7060	3899
6	7810	3899

Stop Event

1×	node limit

Counts

177 → 172

Calls

Call 1

Inputs
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (*.f32 yi (PI.f32))))
(+.f32 (.f32 -4/3 (.f32 (pow.f32 uy 3) (.f32 yi (pow.f32 (PI.f32) 3)))) (.f32 2 (.f32 uy (.f32 yi (PI.f32)))))
(+.f32 (.f32 4/15 (.f32 (pow.f32 uy 5) (.f32 yi (pow.f32 (PI.f32) 5)))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 uy 3) (.f32 yi (pow.f32 (PI.f32) 3)))) (.f32 2 (.f32 uy (*.f32 yi (PI.f32))))))
(+.f32 (.f32 4/15 (.f32 (pow.f32 uy 5) (.f32 yi (pow.f32 (PI.f32) 5)))) (+.f32 (.f32 -8/315 (.f32 (pow.f32 uy 7) (.f32 yi (pow.f32 (PI.f32) 7)))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 uy 3) (.f32 yi (pow.f32 (PI.f32) 3)))) (.f32 2 (.f32 uy (.f32 yi (PI.f32)))))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(*.f32 maxCos ux)
(+.f32 (.f32 -1 (.f32 maxCos (pow.f32 ux 2))) (*.f32 maxCos ux))
(+.f32 (.f32 -1 (.f32 maxCos (pow.f32 ux 2))) (*.f32 maxCos ux))
(+.f32 (.f32 -1 (.f32 maxCos (pow.f32 ux 2))) (*.f32 maxCos ux))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(+.f32 (.f32 -1 (.f32 maxCos (pow.f32 ux 2))) (*.f32 maxCos ux))
(+.f32 (.f32 -1 (.f32 maxCos (pow.f32 ux 2))) (*.f32 maxCos ux))
(+.f32 (.f32 -1 (.f32 maxCos (pow.f32 ux 2))) (*.f32 maxCos ux))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(+.f32 (.f32 -1 (.f32 maxCos (pow.f32 ux 2))) (*.f32 maxCos ux))
(+.f32 (.f32 -1 (.f32 maxCos (pow.f32 ux 2))) (*.f32 maxCos ux))
(+.f32 (.f32 -1 (.f32 maxCos (pow.f32 ux 2))) (*.f32 maxCos ux))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (.f32 2 (.f32 uy (PI.f32))) (.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3))))
(+.f32 (.f32 2 (.f32 uy (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3))) (.f32 4/15 (.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (.f32 2 (.f32 uy (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 4/15 (.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5))) (.f32 -8/315 (.f32 (pow.f32 uy 7) (pow.f32 (PI.f32) 7))))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(+.f32 (PI.f32) (.f32 (.f32 2 (PI.f32)) (+.f32 uy -1/2)))
(+.f32 (.f32 uy (.f32 2 (PI.f32))) 0)
(+.f32 0 (.f32 uy (.f32 2 (PI.f32))))
(+.f32 (.f32 (PI.f32) 1/2) (.f32 (PI.f32) (-.f32 (+.f32 uy uy) 1/2)))
(+.f32 (.f32 2 (PI.f32)) (.f32 2 (*.f32 (PI.f32) (+.f32 uy -1))))
(+.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32)))
(+.f32 (.f32 (.f32 2 (PI.f32)) (+.f32 uy -1/2)) (PI.f32))
(+.f32 -1 (+.f32 1 (.f32 uy (.f32 2 (PI.f32)))))
(+.f32 (neg.f32 (PI.f32)) (*.f32 (PI.f32) (+.f32 1 (+.f32 uy uy))))
(+.f32 (-.f32 -1 (PI.f32)) (-.f32 1 (*.f32 (PI.f32) (-.f32 -1 (+.f32 uy uy)))))
(+.f32 (*.f32 (PI.f32) (+.f32 1 (+.f32 uy uy))) (neg.f32 (PI.f32)))
(+.f32 (.f32 2 (.f32 (PI.f32) (+.f32 uy -1))) (*.f32 2 (PI.f32)))
(+.f32 (+.f32 (PI.f32) -1) (+.f32 1 (.f32 (.f32 2 (PI.f32)) (+.f32 uy -1/2))))
(+.f32 (+.f32 1 (.f32 uy (.f32 2 (PI.f32)))) -1)
(+.f32 (+.f32 1 (.f32 uy (.f32 2 (PI.f32)))) (-.f32 (PI.f32) (+.f32 (PI.f32) 1)))
(+.f32 (+.f32 1 (.f32 (.f32 2 (PI.f32)) (+.f32 uy -1/2))) (+.f32 (PI.f32) -1))
(+.f32 (+.f32 1 (.f32 (.f32 2 (PI.f32)) (+.f32 uy -1/2))) (-.f32 (-.f32 -1 (PI.f32)) (*.f32 (PI.f32) -2)))
(+.f32 (-.f32 1 (PI.f32)) (-.f32 -1 (*.f32 (PI.f32) (-.f32 -1 (+.f32 uy uy)))))
(+.f32 (.f32 (PI.f32) -2) (.f32 2 (*.f32 (PI.f32) (-.f32 uy -1))))
(+.f32 (.f32 (PI.f32) -2) (-.f32 (.f32 uy (.f32 2 (PI.f32))) (.f32 (PI.f32) -2)))
(+.f32 (+.f32 (.f32 (.f32 2 (PI.f32)) (+.f32 uy -1/2)) -1) (+.f32 (PI.f32) 1))
(+.f32 (.f32 (PI.f32) (-.f32 uy -1)) (.f32 (PI.f32) (+.f32 uy -1)))
(+.f32 (.f32 (PI.f32) (-.f32 (+.f32 uy uy) 1/2)) (.f32 (PI.f32) 1/2))
(+.f32 (.f32 (PI.f32) (+.f32 uy -1)) (.f32 (PI.f32) (-.f32 uy -1)))
(+.f32 (-.f32 -1 (*.f32 (PI.f32) (-.f32 -1 (+.f32 uy uy)))) (-.f32 1 (PI.f32)))
(+.f32 (-.f32 -1 (.f32 (PI.f32) -2)) (-.f32 1 (.f32 2 (*.f32 (PI.f32) (-.f32 1 uy)))))
(-.f32 (PI.f32) (.f32 2 (.f32 (PI.f32) (-.f32 1/2 uy))))
(-.f32 (.f32 uy (.f32 2 (PI.f32))) 0)
(-.f32 0 (*.f32 (PI.f32) (neg.f32 (+.f32 uy uy))))
(-.f32 (.f32 2 (PI.f32)) (.f32 2 (*.f32 (PI.f32) (-.f32 1 uy))))
(-.f32 (.f32 (.f32 2 (PI.f32)) (+.f32 uy -1/2)) (neg.f32 (PI.f32)))
(-.f32 (neg.f32 (PI.f32)) (*.f32 (PI.f32) (-.f32 -1 (+.f32 uy uy))))
(-.f32 (*.f32 (PI.f32) (+.f32 1 (+.f32 uy uy))) (PI.f32))
(-.f32 (.f32 2 (.f32 (PI.f32) (+.f32 uy -1))) (*.f32 (PI.f32) -2))
(-.f32 (+.f32 1 (.f32 uy (.f32 2 (PI.f32)))) 1)
(/.f32 (.f32 uy (.f32 2 (PI.f32))) 1)
(/.f32 (.f32 uy (.f32 (PI.f32) 4)) 2)
(/.f32 (.f32 (PI.f32) (.f32 uy 8)) 4)
(/.f32 (*.f32 (PI.f32) (neg.f32 (+.f32 uy uy))) -1)
(/.f32 (.f32 2 (.f32 (PI.f32) (*.f32 uy 8))) 8)
(/.f32 (.f32 2 (.f32 2 (.f32 (PI.f32) (.f32 uy 8)))) 16)
(/.f32 (.f32 2 (.f32 (PI.f32) (neg.f32 (+.f32 uy uy)))) -2)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (PI.f32) (*.f32 uy 8))))) 32)
(/.f32 (.f32 2 (.f32 2 (*.f32 (PI.f32) (neg.f32 (+.f32 uy uy))))) -4)
(/.f32 (neg.f32 (.f32 2 (.f32 (PI.f32) (neg.f32 (+.f32 uy uy))))) 2)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (PI.f32) (.f32 uy 8))))) (.f32 2 (.f32 2 (.f32 2 (.f32 (PI.f32) (.f32 uy 8)))))) 64)
(/.f32 (+.f32 (neg.f32 (.f32 2 (.f32 (PI.f32) (neg.f32 (+.f32 uy uy))))) (neg.f32 (.f32 2 (.f32 (PI.f32) (neg.f32 (+.f32 uy uy)))))) 4)
(pow.f32 (.f32 uy (.f32 2 (PI.f32))) 1)
(neg.f32 (*.f32 (PI.f32) (neg.f32 (+.f32 uy uy))))
(+.f32 (.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) yi) 0)
(+.f32 0 (.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) yi))
(+.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 yi 1/2)) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 yi 1/2)))
(-.f32 (.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) yi) 0)
(/.f32 (.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) yi) 1)
(/.f32 (.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) (+.f32 yi yi)) 2)
(/.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 yi 4)) 4)
(/.f32 (.f32 2 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) (*.f32 yi 4))) 8)
(/.f32 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 yi 4)))) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) (*.f32 yi 4))))) 32)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 yi 4))))) (.f32 2 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 yi 4)))))) 64)
(pow.f32 (.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) yi) 1)
(+.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) 0)
(+.f32 0 (.f32 ux (.f32 (-.f32 1 ux) maxCos)))
(+.f32 (.f32 (-.f32 1 ux) (.f32 ux (.f32 maxCos 1/2))) (.f32 (-.f32 1 ux) (.f32 ux (.f32 maxCos 1/2))))
(-.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) 0)
(/.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) 1)
(/.f32 (.f32 (-.f32 1 ux) (.f32 ux (+.f32 maxCos maxCos))) 2)
(/.f32 (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos 4))) 4)
(/.f32 (.f32 2 (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos 4)))) 8)
(/.f32 (.f32 2 (.f32 2 (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos 4))))) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos 4)))))) 32)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos 4)))))) (.f32 2 (.f32 2 (.f32 2 (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos 4))))))) 64)
(pow.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) 1)
(+.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 0)
(+.f32 0 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))))
(+.f32 -1 (-.f32 1 (sin.f32 (*.f32 (PI.f32) (neg.f32 (+.f32 uy uy))))))
(+.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 1/2) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 1/2))
(+.f32 (-.f32 1 (sin.f32 (*.f32 (PI.f32) (neg.f32 (+.f32 uy uy))))) -1)
(-.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 0)
(-.f32 0 (sin.f32 (*.f32 (PI.f32) (neg.f32 (+.f32 uy uy)))))
(-.f32 (-.f32 1 (sin.f32 (*.f32 (PI.f32) (neg.f32 (+.f32 uy uy))))) 1)
(.f32 2 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 1/2))
(.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) 1)
(.f32 1 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))))
(.f32 4 (/.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) 4))
(.f32 (.f32 2 (sin.f32 (.f32 uy (.f32 2 (PI.f32))))) 1/2)
(.f32 1/2 (.f32 2 (sin.f32 (.f32 uy (.f32 2 (PI.f32))))))
(.f32 -1 (sin.f32 (.f32 (PI.f32) (neg.f32 (+.f32 uy uy)))))
(.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 4) 1/4)
(.f32 1/4 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 4))
(.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 1/2) 2)
(.f32 (sin.f32 (.f32 (PI.f32) (neg.f32 (+.f32 uy uy)))) -1)
(.f32 (/.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) 4) 4)
(/.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 1)
(/.f32 (.f32 2 (sin.f32 (.f32 uy (*.f32 2 (PI.f32))))) 2)
(/.f32 (.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) 4) 4)
(/.f32 (.f32 2 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 4)) 8)
(/.f32 (sin.f32 (*.f32 (PI.f32) (neg.f32 (+.f32 uy uy)))) -1)
(/.f32 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) 4))) 16)
(/.f32 (.f32 2 (sin.f32 (.f32 (PI.f32) (neg.f32 (+.f32 uy uy))))) -2)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 4)))) 32)
(/.f32 (+.f32 (.f32 2 (sin.f32 (.f32 (PI.f32) (neg.f32 (+.f32 uy uy))))) (.f32 2 (sin.f32 (.f32 (PI.f32) (neg.f32 (+.f32 uy uy)))))) -4)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 4)))) (.f32 2 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 4))))) 64)
(pow.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 1)
(neg.f32 (sin.f32 (*.f32 (PI.f32) (neg.f32 (+.f32 uy uy)))))

Outputs
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (*.f32 yi (PI.f32))))
(.f32 2 (.f32 uy (*.f32 (PI.f32) yi)))
(.f32 2 (.f32 (PI.f32) (*.f32 uy yi)))
(.f32 yi (.f32 2 (*.f32 uy (PI.f32))))
(+.f32 (.f32 -4/3 (.f32 (pow.f32 uy 3) (.f32 yi (pow.f32 (PI.f32) 3)))) (.f32 2 (.f32 uy (.f32 yi (PI.f32)))))
(+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 -4/3 (.f32 yi (pow.f32 (.f32 uy (PI.f32)) 3))))
(+.f32 (.f32 2 (.f32 (PI.f32) (.f32 uy yi))) (.f32 yi (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3))))
(+.f32 (.f32 yi (.f32 2 (.f32 uy (PI.f32)))) (.f32 yi (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3))))
(.f32 yi (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (.f32 2 (*.f32 uy (PI.f32)))))
(+.f32 (.f32 4/15 (.f32 (pow.f32 uy 5) (.f32 yi (pow.f32 (PI.f32) 5)))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 uy 3) (.f32 yi (pow.f32 (PI.f32) 3)))) (.f32 2 (.f32 uy (*.f32 yi (PI.f32))))))
(+.f32 (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 -4/3 (.f32 yi (pow.f32 (.f32 uy (PI.f32)) 3)))) (.f32 4/15 (.f32 yi (pow.f32 (*.f32 uy (PI.f32)) 5))))
(+.f32 (.f32 2 (.f32 (PI.f32) (.f32 uy yi))) (+.f32 (.f32 yi (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3))) (.f32 yi (.f32 4/15 (pow.f32 (*.f32 uy (PI.f32)) 5)))))
(+.f32 (.f32 yi (.f32 2 (.f32 uy (PI.f32)))) (+.f32 (.f32 yi (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3))) (.f32 yi (.f32 4/15 (pow.f32 (*.f32 uy (PI.f32)) 5)))))
(+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 yi (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (.f32 4/15 (pow.f32 (.f32 uy (PI.f32)) 5)))))
(+.f32 (.f32 4/15 (.f32 (pow.f32 uy 5) (.f32 yi (pow.f32 (PI.f32) 5)))) (+.f32 (.f32 -8/315 (.f32 (pow.f32 uy 7) (.f32 yi (pow.f32 (PI.f32) 7)))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 uy 3) (.f32 yi (pow.f32 (PI.f32) 3)))) (.f32 2 (.f32 uy (.f32 yi (PI.f32)))))))
(+.f32 (.f32 4/15 (.f32 yi (pow.f32 (.f32 uy (PI.f32)) 5))) (+.f32 (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 -4/3 (.f32 yi (pow.f32 (.f32 uy (PI.f32)) 3)))) (.f32 -8/315 (.f32 yi (pow.f32 (.f32 uy (PI.f32)) 7)))))
(+.f32 (.f32 yi (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3))) (+.f32 (+.f32 (.f32 2 (.f32 (PI.f32) (.f32 uy yi))) (.f32 yi (.f32 -8/315 (pow.f32 (.f32 uy (PI.f32)) 7)))) (.f32 yi (.f32 4/15 (pow.f32 (.f32 uy (PI.f32)) 5)))))
(+.f32 (.f32 yi (.f32 2 (.f32 uy (PI.f32)))) (+.f32 (+.f32 (.f32 yi (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3))) (.f32 yi (.f32 4/15 (pow.f32 (.f32 uy (PI.f32)) 5)))) (.f32 yi (.f32 -8/315 (pow.f32 (.f32 uy (PI.f32)) 7)))))
(+.f32 (.f32 yi (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (.f32 2 (.f32 uy (PI.f32))))) (.f32 yi (+.f32 (.f32 4/15 (pow.f32 (.f32 uy (PI.f32)) 5)) (.f32 -8/315 (pow.f32 (.f32 uy (PI.f32)) 7)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(*.f32 maxCos ux)
(+.f32 (.f32 -1 (.f32 maxCos (pow.f32 ux 2))) (*.f32 maxCos ux))
(+.f32 (.f32 maxCos ux) (.f32 maxCos (*.f32 (pow.f32 ux 2) -1)))
(*.f32 maxCos (+.f32 ux (neg.f32 (pow.f32 ux 2))))
(+.f32 (.f32 -1 (.f32 maxCos (pow.f32 ux 2))) (*.f32 maxCos ux))
(+.f32 (.f32 maxCos ux) (.f32 maxCos (*.f32 (pow.f32 ux 2) -1)))
(*.f32 maxCos (+.f32 ux (neg.f32 (pow.f32 ux 2))))
(+.f32 (.f32 -1 (.f32 maxCos (pow.f32 ux 2))) (*.f32 maxCos ux))
(+.f32 (.f32 maxCos ux) (.f32 maxCos (*.f32 (pow.f32 ux 2) -1)))
(*.f32 maxCos (+.f32 ux (neg.f32 (pow.f32 ux 2))))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(.f32 maxCos (.f32 (pow.f32 ux 2) -1))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(+.f32 (.f32 -1 (.f32 maxCos (pow.f32 ux 2))) (*.f32 maxCos ux))
(+.f32 (.f32 maxCos ux) (.f32 maxCos (*.f32 (pow.f32 ux 2) -1)))
(*.f32 maxCos (+.f32 ux (neg.f32 (pow.f32 ux 2))))
(+.f32 (.f32 -1 (.f32 maxCos (pow.f32 ux 2))) (*.f32 maxCos ux))
(+.f32 (.f32 maxCos ux) (.f32 maxCos (*.f32 (pow.f32 ux 2) -1)))
(*.f32 maxCos (+.f32 ux (neg.f32 (pow.f32 ux 2))))
(+.f32 (.f32 -1 (.f32 maxCos (pow.f32 ux 2))) (*.f32 maxCos ux))
(+.f32 (.f32 maxCos ux) (.f32 maxCos (*.f32 (pow.f32 ux 2) -1)))
(*.f32 maxCos (+.f32 ux (neg.f32 (pow.f32 ux 2))))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(.f32 maxCos (.f32 (pow.f32 ux 2) -1))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(+.f32 (.f32 -1 (.f32 maxCos (pow.f32 ux 2))) (*.f32 maxCos ux))
(+.f32 (.f32 maxCos ux) (.f32 maxCos (*.f32 (pow.f32 ux 2) -1)))
(*.f32 maxCos (+.f32 ux (neg.f32 (pow.f32 ux 2))))
(+.f32 (.f32 -1 (.f32 maxCos (pow.f32 ux 2))) (*.f32 maxCos ux))
(+.f32 (.f32 maxCos ux) (.f32 maxCos (*.f32 (pow.f32 ux 2) -1)))
(*.f32 maxCos (+.f32 ux (neg.f32 (pow.f32 ux 2))))
(+.f32 (.f32 -1 (.f32 maxCos (pow.f32 ux 2))) (*.f32 maxCos ux))
(+.f32 (.f32 maxCos ux) (.f32 maxCos (*.f32 (pow.f32 ux 2) -1)))
(*.f32 maxCos (+.f32 ux (neg.f32 (pow.f32 ux 2))))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 (.f32 maxCos ux) (-.f32 1 ux))
(.f32 maxCos (.f32 ux (-.f32 1 ux)))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 (.f32 maxCos ux) (-.f32 1 ux))
(.f32 maxCos (.f32 ux (-.f32 1 ux)))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 (.f32 maxCos ux) (-.f32 1 ux))
(.f32 maxCos (.f32 ux (-.f32 1 ux)))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 (.f32 maxCos ux) (-.f32 1 ux))
(.f32 maxCos (.f32 ux (-.f32 1 ux)))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 (.f32 maxCos ux) (-.f32 1 ux))
(.f32 maxCos (.f32 ux (-.f32 1 ux)))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 (.f32 maxCos ux) (-.f32 1 ux))
(.f32 maxCos (.f32 ux (-.f32 1 ux)))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 (.f32 maxCos ux) (-.f32 1 ux))
(.f32 maxCos (.f32 ux (-.f32 1 ux)))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 (.f32 maxCos ux) (-.f32 1 ux))
(.f32 maxCos (.f32 ux (-.f32 1 ux)))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 (.f32 maxCos ux) (-.f32 1 ux))
(.f32 maxCos (.f32 ux (-.f32 1 ux)))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 (.f32 maxCos ux) (-.f32 1 ux))
(.f32 maxCos (.f32 ux (-.f32 1 ux)))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 (.f32 maxCos ux) (-.f32 1 ux))
(.f32 maxCos (.f32 ux (-.f32 1 ux)))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 (.f32 maxCos ux) (-.f32 1 ux))
(.f32 maxCos (.f32 ux (-.f32 1 ux)))
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (.f32 2 (.f32 uy (PI.f32))) (.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3))))
(+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (.f32 2 (.f32 uy (PI.f32))))
(+.f32 (.f32 2 (.f32 uy (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3))) (.f32 4/15 (.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (.f32 4/15 (pow.f32 (.f32 uy (PI.f32)) 5))) (.f32 2 (.f32 uy (PI.f32))))
(+.f32 (.f32 4/15 (pow.f32 (.f32 uy (PI.f32)) 5)) (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (.f32 2 (.f32 uy (PI.f32)))))
(+.f32 (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (.f32 2 (.f32 uy (PI.f32)))) (.f32 4/15 (pow.f32 (.f32 uy (PI.f32)) 5)))
(+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (+.f32 (.f32 4/15 (pow.f32 (.f32 uy (PI.f32)) 5)) (.f32 2 (.f32 uy (PI.f32)))))
(+.f32 (.f32 2 (.f32 uy (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 4/15 (.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5))) (.f32 -8/315 (.f32 (pow.f32 uy 7) (pow.f32 (PI.f32) 7))))))
(+.f32 (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (+.f32 (.f32 4/15 (pow.f32 (.f32 uy (PI.f32)) 5)) (.f32 -8/315 (pow.f32 (.f32 uy (PI.f32)) 7)))) (.f32 2 (.f32 uy (PI.f32))))
(+.f32 (+.f32 (.f32 4/15 (pow.f32 (.f32 uy (PI.f32)) 5)) (.f32 -8/315 (pow.f32 (.f32 uy (PI.f32)) 7))) (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (.f32 2 (.f32 uy (PI.f32)))))
(+.f32 (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (.f32 2 (.f32 uy (PI.f32)))) (+.f32 (.f32 4/15 (pow.f32 (.f32 uy (PI.f32)) 5)) (.f32 -8/315 (pow.f32 (.f32 uy (PI.f32)) 7))))
(+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (+.f32 (.f32 -8/315 (pow.f32 (.f32 uy (PI.f32)) 7)) (+.f32 (.f32 4/15 (pow.f32 (.f32 uy (PI.f32)) 5)) (.f32 2 (.f32 uy (PI.f32))))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(+.f32 (PI.f32) (.f32 (.f32 2 (PI.f32)) (+.f32 uy -1/2)))
(+.f32 (PI.f32) (.f32 2 (.f32 (PI.f32) (+.f32 uy -1/2))))
(.f32 (PI.f32) (+.f32 1 (.f32 2 (+.f32 uy -1/2))))
(+.f32 (.f32 uy (.f32 2 (PI.f32))) 0)
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 0 (.f32 uy (.f32 2 (PI.f32))))
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (.f32 (PI.f32) 1/2) (.f32 (PI.f32) (-.f32 (+.f32 uy uy) 1/2)))
(+.f32 (.f32 (PI.f32) 1/2) (.f32 (PI.f32) (+.f32 uy (-.f32 uy 1/2))))
(*.f32 (PI.f32) (+.f32 (+.f32 uy (-.f32 uy 1/2)) 1/2))
(*.f32 (PI.f32) (+.f32 uy (+.f32 (-.f32 uy 1/2) 1/2)))
(*.f32 (PI.f32) (+.f32 uy (+.f32 1/2 (-.f32 uy 1/2))))
(+.f32 (.f32 2 (PI.f32)) (.f32 2 (*.f32 (PI.f32) (+.f32 uy -1))))
(.f32 (PI.f32) (+.f32 2 (.f32 2 (+.f32 uy -1))))
(+.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (.f32 (.f32 2 (PI.f32)) (+.f32 uy -1/2)) (PI.f32))
(+.f32 (PI.f32) (.f32 (.f32 2 (PI.f32)) (+.f32 uy -1/2)))
(+.f32 (PI.f32) (.f32 2 (.f32 (PI.f32) (+.f32 uy -1/2))))
(.f32 (PI.f32) (+.f32 1 (.f32 2 (+.f32 uy -1/2))))
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(.f32 2 (.f32 uy (PI.f32)))
(pow.f32 (.f32 uy (.f32 2 (PI.f32))) 1)
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(+.f32 (.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) yi) 0)
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(/.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 yi 4)) 4)
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(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
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(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(pow.f32 (.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) yi) 1)
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(+.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) 0)
(.f32 (.f32 maxCos ux) (-.f32 1 ux))
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(+.f32 0 (.f32 ux (.f32 (-.f32 1 ux) maxCos)))
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(.f32 (.f32 maxCos ux) (-.f32 1 ux))
(.f32 maxCos (.f32 ux (-.f32 1 ux)))
(-.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) 0)
(.f32 (.f32 maxCos ux) (-.f32 1 ux))
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(/.f32 (.f32 (-.f32 1 ux) (.f32 ux (+.f32 maxCos maxCos))) 2)
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(/.f32 (.f32 2 (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos 4)))) 8)
(.f32 (.f32 (-.f32 1 ux) (*.f32 maxCos 4)) (/.f32 ux 4))
(.f32 ux (.f32 (*.f32 maxCos (-.f32 1 ux)) 1))
(/.f32 (.f32 2 (.f32 2 (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos 4))))) 16)
(.f32 (.f32 (-.f32 1 ux) (*.f32 maxCos 4)) (/.f32 ux 4))
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(.f32 (.f32 (-.f32 1 ux) (*.f32 maxCos 4)) (/.f32 ux 4))
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(.f32 (.f32 (-.f32 1 ux) (*.f32 maxCos 4)) (/.f32 ux 4))
(.f32 ux (.f32 (*.f32 maxCos (-.f32 1 ux)) 1))
(pow.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) 1)
(.f32 (.f32 maxCos ux) (-.f32 1 ux))
(.f32 maxCos (.f32 ux (-.f32 1 ux)))
(+.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 0)
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(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(+.f32 -1 (-.f32 1 (sin.f32 (*.f32 (PI.f32) (neg.f32 (+.f32 uy uy))))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(+.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 1/2) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 1/2))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
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(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
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(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 4) 1/4)
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(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) 4) 4)
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
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(/.f32 (.f32 2 (sin.f32 (.f32 uy (*.f32 2 (PI.f32))))) 2)
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(/.f32 (.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) 4) 4)
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(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
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(/.f32 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) 4))) 16)
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(/.f32 (.f32 2 (sin.f32 (.f32 (PI.f32) (neg.f32 (+.f32 uy uy))))) -2)
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(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
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(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
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eval507.0ms (1.8%)

Compiler: Compiled 33894 to 21181 computations (37.5% saved)

prune233.0ms (0.8%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	514	23	537
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	516	23	539

Error

0.2b

Counts

539 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	1.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) xi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (+.f32 (.f32 2 (.f32 (PI.f32) (.f32 uy yi))) (.f32 yi (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3))))) (.f32 (-.f32 1 ux) (.f32 (.f32 ux maxCos) zi))))
	5.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) xi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (-.f32 (-.f32 1 (sin.f32 (.f32 (PI.f32) (neg.f32 (+.f32 uy uy))))) 1) yi)) (.f32 (-.f32 1 ux) (.f32 (.f32 ux maxCos) zi))))
	2.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) xi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 yi (.f32 2 (.f32 uy (PI.f32))))) (.f32 (-.f32 1 ux) (.f32 (*.f32 ux maxCos) zi))))
	0.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (-.f32 (-.f32 (.f32 (PI.f32) (+.f32 uy uy)) -1) 1)) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	0.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (-.f32 (.f32 2 (.f32 (PI.f32) (+.f32 uy -1))) (.f32 (PI.f32) -2))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
▶	0.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (-.f32 (PI.f32) (.f32 2 (.f32 (PI.f32) (-.f32 1/2 uy))))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	0.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (+.f32 (.f32 (PI.f32) -2) (.f32 (PI.f32) (-.f32 (+.f32 uy uy) -2)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	0.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 2 (+.f32 uy -1)) -2))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
▶	0.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 -2 (+.f32 uy (-.f32 uy -2))))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	1.0b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 yi (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (.f32 2 (.f32 uy (PI.f32))))) (.f32 yi (.f32 4/15 (pow.f32 (.f32 uy (PI.f32)) 5)))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	0.7b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3)) (+.f32 (+.f32 (.f32 yi (.f32 (PI.f32) (.f32 2 uy))) (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 7) -8/315))) (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 5) 4/15)))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	1.0b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 yi (.f32 (PI.f32) (.f32 2 uy))) (+.f32 (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 5) 4/15)) (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3)))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
▶	1.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 yi (.f32 (PI.f32) (.f32 2 uy))) (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	1.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) (.f32 -4/3 yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
▶	6.1b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (-.f32 (PI.f32) (.f32 2 (.f32 (PI.f32) (-.f32 1/2 uy))))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	5.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (+.f32 (+.f32 (PI.f32) (.f32 (PI.f32) (+.f32 uy -1))) (.f32 uy (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	6.2b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 (PI.f32) (-.f32 (.f32 2 (+.f32 uy -1)) -2))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	1.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 yi (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (.f32 2 (.f32 uy (PI.f32))))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	2.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 yi (.f32 (PI.f32) (.f32 2 uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	2.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 (PI.f32) (.f32 uy yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
▶	2.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	0.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	0.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 maxCos (pow.f32 ux 3))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))

Compiler

Compiled 2762 to 1946 computations (29.5% saved)

localize228.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos))
	0.3b	(.f32 uy (.f32 2 (PI.f32)))
✓	0.3b	(*.f32 (PI.f32) (-.f32 1/2 uy))
✓	14.5b	(-.f32 (PI.f32) (.f32 2 (.f32 (PI.f32) (-.f32 1/2 uy))))

Compiler

Compiled 295 to 182 computations (38.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	uy	@	inf	(-.f32 (PI.f32) (.f32 2 (.f32 (PI.f32) (-.f32 1/2 uy))))
1.0ms	uy	@	0	(-.f32 (PI.f32) (.f32 2 (.f32 (PI.f32) (-.f32 1/2 uy))))
0.0ms	uy	@	-inf	(-.f32 (PI.f32) (.f32 2 (.f32 (PI.f32) (-.f32 1/2 uy))))
0.0ms	uy	@	0	(*.f32 (PI.f32) (-.f32 1/2 uy))
0.0ms	uy	@	-inf	(*.f32 (PI.f32) (-.f32 1/2 uy))

rewrite97.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1418×	`exponential.json-3`
1418×	`rational.json-1`
1418×	`rational.json-2`
1418×	`rational.json-4`
1418×	`rational.json-3`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	72	44
2	150	42
3	299	42
4	555	42
5	1335	30
6	3195	30
7	6376	30

Stop Event

1×	node limit

Counts

2 → 92

Calls

Call 1

Inputs
(-.f32 (PI.f32) (.f32 2 (.f32 (PI.f32) (-.f32 1/2 uy))))
(*.f32 (PI.f32) (-.f32 1/2 uy))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (PI.f32) (neg.f32 (*.f32 (PI.f32) (*.f32 (+.f32 uy -1/2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 2 (*.f32 (PI.f32) uy)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 2 (*.f32 (PI.f32) uy)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (+.f32 (*.f32 2 (*.f32 (PI.f32) uy)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) 1/2) (*.f32 (PI.f32) (-.f32 1/2 (*.f32 (+.f32 uy -1/2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (*.f32 (PI.f32) (*.f32 (+.f32 uy -1/2) -2))) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (+.f32 (*.f32 2 (*.f32 (PI.f32) uy)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 2 (*.f32 (PI.f32) uy)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) uy) (*.f32 (PI.f32) uy))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -2 (+.f32 (*.f32 2 (*.f32 (PI.f32) uy)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 (*.f32 (PI.f32) (*.f32 (+.f32 uy -1/2) -2))) (+.f32 (PI.f32) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (PI.f32) 1) (+.f32 (neg.f32 (*.f32 (PI.f32) (*.f32 (+.f32 uy -1/2) -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 (-.f32 (*.f32 (PI.f32) (*.f32 (+.f32 uy -1/2) -2)) (*.f32 (PI.f32) 1/2))) (+.f32 (*.f32 (PI.f32) 1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 2 (*.f32 (PI.f32) uy)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) (-.f32 1/2 (*.f32 (+.f32 uy -1/2) -2))) (*.f32 (PI.f32) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (PI.f32) (+.f32 uy uy))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (PI.f32) (-.f32 1 (*.f32 (+.f32 uy -1/2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (PI.f32) uy))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (*.f32 (PI.f32) 2) (*.f32 1/2 uy)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (*.f32 1/2 (-.f32 1 (*.f32 (+.f32 uy -1/2) -2))) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 4 (*.f32 (PI.f32) uy)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (*.f32 uy 4) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 uy (*.f32 (PI.f32) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 (PI.f32) uy)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 2 (*.f32 (PI.f32) uy)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 4 (*.f32 (PI.f32) uy)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 uy uy) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 2) uy)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 2) (*.f32 1/2 (-.f32 1 (*.f32 (+.f32 uy -1/2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (neg.f32 (*.f32 (PI.f32) uy))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 1/2) (*.f32 2 (-.f32 1 (*.f32 (+.f32 uy -1/2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 1/2) (-.f32 2 (*.f32 (-.f32 1/2 uy) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (*.f32 (PI.f32) uy) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (*.f32 1/2 (*.f32 (PI.f32) uy)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (*.f32 (PI.f32) (*.f32 1/2 uy)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (*.f32 (*.f32 1/2 uy) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (*.f32 (-.f32 1 (*.f32 (+.f32 uy -1/2) -2)) (*.f32 (PI.f32) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 4) (*.f32 1/2 uy))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 4) (-.f32 1/4 (*.f32 1/2 (-.f32 1/2 uy))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 4) (*.f32 1/4 (-.f32 1 (*.f32 (+.f32 uy -1/2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 8 (*.f32 (PI.f32) uy)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 uy 4) (*.f32 (PI.f32) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (PI.f32)) (+.f32 (-.f32 1/2 uy) (-.f32 -1/2 uy)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (-.f32 1/2 uy) (-.f32 -1/2 uy)) (neg.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 1 (*.f32 (+.f32 uy -1/2) -2)) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (*.f32 2 (neg.f32 (*.f32 (PI.f32) uy))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 8 (*.f32 (*.f32 (PI.f32) 1/2) (*.f32 1/2 uy)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 8 (*.f32 (/.f32 uy 4) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 8 (*.f32 (/.f32 (PI.f32) 8) (-.f32 1 (*.f32 (+.f32 uy -1/2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 8) (*.f32 1/2 (*.f32 1/2 uy)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 8) (*.f32 1/8 (-.f32 1 (*.f32 (+.f32 uy -1/2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 uy 8) (*.f32 (PI.f32) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (-.f32 1 (*.f32 (+.f32 uy -1/2) -2))) (*.f32 (PI.f32) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 1/4) (-.f32 4 (*.f32 (-.f32 1/2 uy) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 8 (*.f32 (PI.f32) uy)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (-.f32 (*.f32 (PI.f32) 4) (*.f32 (PI.f32) (*.f32 (-.f32 1/2 uy) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) uy) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (+.f32 (-.f32 1/2 uy) (-.f32 -1/2 uy))) (neg.f32 (*.f32 (PI.f32) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 1/2 (-.f32 1 (*.f32 (+.f32 uy -1/2) -2))) (*.f32 (PI.f32) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 (PI.f32) uy) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 2 (-.f32 1 (*.f32 (+.f32 uy -1/2) -2)))) (*.f32 (PI.f32) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 1/2 (*.f32 (PI.f32) uy)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 2 (*.f32 (-.f32 1/2 uy) 4)) (*.f32 (PI.f32) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (/.f32 uy 4)) (*.f32 (PI.f32) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (/.f32 (PI.f32) 8)) (*.f32 4 (-.f32 1 (*.f32 (+.f32 uy -1/2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (PI.f32) uy)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 4 (*.f32 (PI.f32) uy)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (neg.f32 (*.f32 (PI.f32) uy))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 8 (*.f32 (PI.f32) uy)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 4 (neg.f32 (*.f32 (PI.f32) uy))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 8 (*.f32 (PI.f32) uy))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 4 (neg.f32 (*.f32 (PI.f32) uy)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 8 (*.f32 (PI.f32) uy)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 4 (neg.f32 (*.f32 (PI.f32) uy))))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 8 (*.f32 (PI.f32) uy))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 2 (*.f32 4 (neg.f32 (*.f32 (PI.f32) uy))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 8 (*.f32 (PI.f32) uy)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (neg.f32 (*.f32 2 (*.f32 4 (neg.f32 (*.f32 (PI.f32) uy)))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 2 (*.f32 (PI.f32) uy)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 2 (neg.f32 (*.f32 (PI.f32) uy))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) (-.f32 1/2 uy)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (PI.f32) (-.f32 1/2 uy)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (-.f32 1/2 uy) (*.f32 (PI.f32) 1/2)) (*.f32 (-.f32 1/2 uy) (*.f32 (PI.f32) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (PI.f32) (-.f32 1/2 uy)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (-.f32 1/2 uy)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 (+.f32 uy -1/2) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 (-.f32 1/2 uy) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 (-.f32 1/2 uy) 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (+.f32 uy -1/2) -2) (*.f32 (PI.f32) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (*.f32 (+.f32 uy -1/2) -2) (*.f32 (PI.f32) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (+.f32 uy -1/2) -2) (*.f32 (PI.f32) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (PI.f32) (-.f32 1/2 uy)) 1)))))

simplify177.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1640×	`rational.json-simplify-35`
1294×	`rational.json-simplify-2`
1050×	`rational.json-simplify-53`
806×	`rational.json-simplify-1`
770×	`exponential.json-simplify-26`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	201	2386
1	487	2362
2	1131	2250
3	2315	2236
4	3804	2234
5	4972	2234
6	6983	2234
7	7990	2234

Stop Event

1×	node limit

Counts

116 → 128

Calls

Call 1

Inputs
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(*.f32 1/2 (PI.f32))
(+.f32 (.f32 -1 (.f32 uy (PI.f32))) (*.f32 1/2 (PI.f32)))
(+.f32 (.f32 -1 (.f32 uy (PI.f32))) (*.f32 1/2 (PI.f32)))
(+.f32 (.f32 -1 (.f32 uy (PI.f32))) (*.f32 1/2 (PI.f32)))
(.f32 -1 (.f32 uy (PI.f32)))
(+.f32 (.f32 -1 (.f32 uy (PI.f32))) (*.f32 1/2 (PI.f32)))
(+.f32 (.f32 -1 (.f32 uy (PI.f32))) (*.f32 1/2 (PI.f32)))
(+.f32 (.f32 -1 (.f32 uy (PI.f32))) (*.f32 1/2 (PI.f32)))
(.f32 -1 (.f32 uy (PI.f32)))
(+.f32 (.f32 -1 (.f32 uy (PI.f32))) (*.f32 1/2 (PI.f32)))
(+.f32 (.f32 -1 (.f32 uy (PI.f32))) (*.f32 1/2 (PI.f32)))
(+.f32 (.f32 -1 (.f32 uy (PI.f32))) (*.f32 1/2 (PI.f32)))
(+.f32 (PI.f32) (neg.f32 (.f32 (PI.f32) (.f32 (+.f32 uy -1/2) -2))))
(+.f32 (.f32 2 (.f32 (PI.f32) uy)) 0)
(+.f32 0 (.f32 2 (.f32 (PI.f32) uy)))
(+.f32 1 (+.f32 (.f32 2 (.f32 (PI.f32) uy)) -1))
(+.f32 (.f32 (PI.f32) 1/2) (.f32 (PI.f32) (-.f32 1/2 (*.f32 (+.f32 uy -1/2) -2))))
(+.f32 (neg.f32 (.f32 (PI.f32) (.f32 (+.f32 uy -1/2) -2))) (PI.f32))
(+.f32 -1 (+.f32 (.f32 2 (.f32 (PI.f32) uy)) 1))
(+.f32 (+.f32 (.f32 2 (.f32 (PI.f32) uy)) 1) -1)
(+.f32 (.f32 (PI.f32) uy) (.f32 (PI.f32) uy))
(+.f32 -2 (+.f32 (.f32 2 (.f32 (PI.f32) uy)) 2))
(+.f32 (-.f32 1 (.f32 (PI.f32) (.f32 (+.f32 uy -1/2) -2))) (+.f32 (PI.f32) -1))
(+.f32 (+.f32 (PI.f32) 1) (+.f32 (neg.f32 (.f32 (PI.f32) (.f32 (+.f32 uy -1/2) -2))) -1))
(+.f32 (-.f32 1 (-.f32 (.f32 (PI.f32) (.f32 (+.f32 uy -1/2) -2)) (.f32 (PI.f32) 1/2))) (+.f32 (.f32 (PI.f32) 1/2) -1))
(+.f32 (+.f32 (.f32 2 (.f32 (PI.f32) uy)) 2) -2)
(+.f32 (.f32 (PI.f32) (-.f32 1/2 (.f32 (+.f32 uy -1/2) -2))) (*.f32 (PI.f32) 1/2))
(*.f32 (PI.f32) (+.f32 uy uy))
(.f32 (PI.f32) (-.f32 1 (.f32 (+.f32 uy -1/2) -2)))
(.f32 2 (.f32 (PI.f32) uy))
(.f32 2 (.f32 (.f32 (PI.f32) 2) (.f32 1/2 uy)))
(.f32 2 (.f32 (.f32 1/2 (-.f32 1 (.f32 (+.f32 uy -1/2) -2))) (PI.f32)))
(.f32 1/2 (.f32 4 (*.f32 (PI.f32) uy)))
(.f32 1/2 (.f32 (*.f32 uy 4) (PI.f32)))
(.f32 uy (.f32 (PI.f32) 2))
(.f32 (.f32 2 (*.f32 (PI.f32) uy)) 1)
(.f32 1 (.f32 2 (*.f32 (PI.f32) uy)))
(.f32 (.f32 4 (*.f32 (PI.f32) uy)) 1/2)
(*.f32 (+.f32 uy uy) (PI.f32))
(.f32 (.f32 (PI.f32) 2) uy)
(.f32 (.f32 (PI.f32) 2) (.f32 1/2 (-.f32 1 (.f32 (+.f32 uy -1/2) -2))))
(.f32 (.f32 2 (neg.f32 (*.f32 (PI.f32) uy))) -1)
(.f32 (.f32 (PI.f32) 1/2) (.f32 2 (-.f32 1 (.f32 (+.f32 uy -1/2) -2))))
(.f32 (.f32 (PI.f32) 1/2) (-.f32 2 (*.f32 (-.f32 1/2 uy) 4)))
(.f32 4 (/.f32 (.f32 (PI.f32) uy) 2))
(.f32 4 (.f32 1/2 (*.f32 (PI.f32) uy)))
(.f32 4 (.f32 (PI.f32) (*.f32 1/2 uy)))
(.f32 4 (.f32 (*.f32 1/2 uy) (PI.f32)))
(.f32 4 (.f32 (-.f32 1 (.f32 (+.f32 uy -1/2) -2)) (.f32 (PI.f32) 1/4)))
(.f32 (.f32 (PI.f32) 4) (*.f32 1/2 uy))
(.f32 (.f32 (PI.f32) 4) (-.f32 1/4 (*.f32 1/2 (-.f32 1/2 uy))))
(.f32 (.f32 (PI.f32) 4) (.f32 1/4 (-.f32 1 (.f32 (+.f32 uy -1/2) -2))))
(.f32 (.f32 8 (*.f32 (PI.f32) uy)) 1/4)
(.f32 (.f32 uy 4) (*.f32 (PI.f32) 1/2))
(*.f32 (neg.f32 (PI.f32)) (+.f32 (-.f32 1/2 uy) (-.f32 -1/2 uy)))
(*.f32 (+.f32 (-.f32 1/2 uy) (-.f32 -1/2 uy)) (neg.f32 (PI.f32)))
(.f32 (-.f32 1 (.f32 (+.f32 uy -1/2) -2)) (PI.f32))
(.f32 -1 (.f32 2 (neg.f32 (*.f32 (PI.f32) uy))))
(.f32 8 (.f32 (.f32 (PI.f32) 1/2) (.f32 1/2 uy)))
(.f32 8 (.f32 (/.f32 uy 4) (PI.f32)))
(.f32 8 (.f32 (/.f32 (PI.f32) 8) (-.f32 1 (*.f32 (+.f32 uy -1/2) -2))))
(.f32 (.f32 (PI.f32) 8) (.f32 1/2 (.f32 1/2 uy)))
(.f32 (.f32 (PI.f32) 8) (.f32 1/8 (-.f32 1 (.f32 (+.f32 uy -1/2) -2))))
(.f32 (.f32 uy 8) (*.f32 (PI.f32) 1/4))
(.f32 (.f32 2 (-.f32 1 (.f32 (+.f32 uy -1/2) -2))) (.f32 (PI.f32) 1/2))
(.f32 (.f32 (PI.f32) 1/4) (-.f32 4 (*.f32 (-.f32 1/2 uy) 8)))
(.f32 1/4 (.f32 8 (*.f32 (PI.f32) uy)))
(.f32 1/4 (-.f32 (.f32 (PI.f32) 4) (.f32 (PI.f32) (.f32 (-.f32 1/2 uy) 8))))
(.f32 (.f32 (PI.f32) uy) 2)
(.f32 (.f32 2 (+.f32 (-.f32 1/2 uy) (-.f32 -1/2 uy))) (neg.f32 (*.f32 (PI.f32) 1/2)))
(.f32 (.f32 1/2 (-.f32 1 (.f32 (+.f32 uy -1/2) -2))) (.f32 (PI.f32) 2))
(.f32 (/.f32 (.f32 (PI.f32) uy) 2) 4)
(.f32 (.f32 2 (.f32 2 (-.f32 1 (.f32 (+.f32 uy -1/2) -2)))) (*.f32 (PI.f32) 1/4))
(.f32 (.f32 1/2 (*.f32 (PI.f32) uy)) 4)
(.f32 (-.f32 2 (.f32 (-.f32 1/2 uy) 4)) (*.f32 (PI.f32) 1/2))
(.f32 (.f32 2 (/.f32 uy 4)) (*.f32 (PI.f32) 4))
(.f32 (.f32 2 (/.f32 (PI.f32) 8)) (.f32 4 (-.f32 1 (.f32 (+.f32 uy -1/2) -2))))
(/.f32 (.f32 2 (.f32 (PI.f32) uy)) 1)
(/.f32 (.f32 4 (.f32 (PI.f32) uy)) 2)
(/.f32 (.f32 2 (neg.f32 (.f32 (PI.f32) uy))) -1)
(/.f32 (.f32 8 (.f32 (PI.f32) uy)) 4)
(/.f32 (.f32 4 (neg.f32 (.f32 (PI.f32) uy))) -2)
(/.f32 (.f32 2 (.f32 8 (*.f32 (PI.f32) uy))) 8)
(/.f32 (.f32 2 (.f32 4 (neg.f32 (*.f32 (PI.f32) uy)))) -4)
(/.f32 (.f32 2 (.f32 2 (.f32 8 (.f32 (PI.f32) uy)))) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 4 (neg.f32 (.f32 (PI.f32) uy))))) -8)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 8 (*.f32 (PI.f32) uy))))) 32)
(/.f32 (neg.f32 (.f32 2 (.f32 4 (neg.f32 (*.f32 (PI.f32) uy))))) 4)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 8 (.f32 (PI.f32) uy)))))) 64)
(/.f32 (.f32 2 (neg.f32 (.f32 2 (.f32 4 (neg.f32 (.f32 (PI.f32) uy)))))) 8)
(pow.f32 (.f32 2 (.f32 (PI.f32) uy)) 1)
(neg.f32 (.f32 2 (neg.f32 (.f32 (PI.f32) uy))))
(+.f32 (*.f32 (PI.f32) (-.f32 1/2 uy)) 0)
(+.f32 0 (*.f32 (PI.f32) (-.f32 1/2 uy)))
(+.f32 (.f32 (-.f32 1/2 uy) (.f32 (PI.f32) 1/2)) (.f32 (-.f32 1/2 uy) (.f32 (PI.f32) 1/2)))
(-.f32 (*.f32 (PI.f32) (-.f32 1/2 uy)) 0)
(/.f32 (*.f32 (PI.f32) (-.f32 1/2 uy)) 1)
(/.f32 (.f32 (PI.f32) (.f32 (+.f32 uy -1/2) -2)) 2)
(/.f32 (.f32 (PI.f32) (.f32 (-.f32 1/2 uy) 4)) 4)
(/.f32 (.f32 (PI.f32) (.f32 (-.f32 1/2 uy) 8)) 8)
(/.f32 (.f32 (.f32 (+.f32 uy -1/2) -2) (*.f32 (PI.f32) 8)) 16)
(/.f32 (.f32 2 (.f32 (.f32 (+.f32 uy -1/2) -2) (.f32 (PI.f32) 8))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 (+.f32 uy -1/2) -2) (*.f32 (PI.f32) 8)))) 64)
(pow.f32 (*.f32 (PI.f32) (-.f32 1/2 uy)) 1)

Outputs
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 2 (PI.f32)))
(*.f32 1/2 (PI.f32))
(*.f32 (PI.f32) 1/2)
(+.f32 (.f32 -1 (.f32 uy (PI.f32))) (*.f32 1/2 (PI.f32)))
(+.f32 (.f32 (PI.f32) 1/2) (neg.f32 (.f32 uy (PI.f32))))
(*.f32 (PI.f32) (+.f32 1/2 (neg.f32 uy)))
(+.f32 (.f32 -1 (.f32 uy (PI.f32))) (*.f32 1/2 (PI.f32)))
(+.f32 (.f32 (PI.f32) 1/2) (neg.f32 (.f32 uy (PI.f32))))
(*.f32 (PI.f32) (+.f32 1/2 (neg.f32 uy)))
(+.f32 (.f32 -1 (.f32 uy (PI.f32))) (*.f32 1/2 (PI.f32)))
(+.f32 (.f32 (PI.f32) 1/2) (neg.f32 (.f32 uy (PI.f32))))
(*.f32 (PI.f32) (+.f32 1/2 (neg.f32 uy)))
(.f32 -1 (.f32 uy (PI.f32)))
(neg.f32 (*.f32 uy (PI.f32)))
(*.f32 uy (neg.f32 (PI.f32)))
(+.f32 (.f32 -1 (.f32 uy (PI.f32))) (*.f32 1/2 (PI.f32)))
(+.f32 (.f32 (PI.f32) 1/2) (neg.f32 (.f32 uy (PI.f32))))
(*.f32 (PI.f32) (+.f32 1/2 (neg.f32 uy)))
(+.f32 (.f32 -1 (.f32 uy (PI.f32))) (*.f32 1/2 (PI.f32)))
(+.f32 (.f32 (PI.f32) 1/2) (neg.f32 (.f32 uy (PI.f32))))
(*.f32 (PI.f32) (+.f32 1/2 (neg.f32 uy)))
(+.f32 (.f32 -1 (.f32 uy (PI.f32))) (*.f32 1/2 (PI.f32)))
(+.f32 (.f32 (PI.f32) 1/2) (neg.f32 (.f32 uy (PI.f32))))
(*.f32 (PI.f32) (+.f32 1/2 (neg.f32 uy)))
(.f32 -1 (.f32 uy (PI.f32)))
(neg.f32 (*.f32 uy (PI.f32)))
(*.f32 uy (neg.f32 (PI.f32)))
(+.f32 (.f32 -1 (.f32 uy (PI.f32))) (*.f32 1/2 (PI.f32)))
(+.f32 (.f32 (PI.f32) 1/2) (neg.f32 (.f32 uy (PI.f32))))
(*.f32 (PI.f32) (+.f32 1/2 (neg.f32 uy)))
(+.f32 (.f32 -1 (.f32 uy (PI.f32))) (*.f32 1/2 (PI.f32)))
(+.f32 (.f32 (PI.f32) 1/2) (neg.f32 (.f32 uy (PI.f32))))
(*.f32 (PI.f32) (+.f32 1/2 (neg.f32 uy)))
(+.f32 (.f32 -1 (.f32 uy (PI.f32))) (*.f32 1/2 (PI.f32)))
(+.f32 (.f32 (PI.f32) 1/2) (neg.f32 (.f32 uy (PI.f32))))
(*.f32 (PI.f32) (+.f32 1/2 (neg.f32 uy)))
(+.f32 (PI.f32) (neg.f32 (.f32 (PI.f32) (.f32 (+.f32 uy -1/2) -2))))
(+.f32 (PI.f32) (.f32 (.f32 (+.f32 uy -1/2) -2) (neg.f32 (PI.f32))))
(+.f32 (PI.f32) (.f32 (.f32 (PI.f32) (+.f32 uy -1/2)) 2))
(+.f32 (PI.f32) (.f32 2 (.f32 (PI.f32) (+.f32 uy -1/2))))
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(/.f32 (.f32 8 (.f32 (PI.f32) uy)) 4)
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(/.f32 (.f32 2 (.f32 8 (*.f32 (PI.f32) uy))) 8)
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(/.f32 (.f32 2 (.f32 2 (.f32 8 (.f32 (PI.f32) uy)))) 16)
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(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 8 (.f32 (PI.f32) uy)))))) 64)
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(pow.f32 (.f32 2 (.f32 (PI.f32) uy)) 1)
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(/.f32 (.f32 (PI.f32) (.f32 (-.f32 1/2 uy) 8)) 8)
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(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 (+.f32 uy -1/2) -2) (*.f32 (PI.f32) 8)))) 64)
(.f32 (.f32 (+.f32 uy -1/2) -2) (/.f32 (PI.f32) 2))
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(*.f32 (PI.f32) (neg.f32 (+.f32 uy -1/2)))
(*.f32 (+.f32 uy -1/2) (neg.f32 (PI.f32)))
(pow.f32 (*.f32 (PI.f32) (-.f32 1/2 uy)) 1)
(*.f32 (PI.f32) (-.f32 1/2 uy))

localize191.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 uy (.f32 (PI.f32) yi))
	0.3b	(.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos))
	0.3b	(.f32 uy (.f32 2 (PI.f32)))
✓	0.4b	(*.f32 (PI.f32) yi)

Compiler

Compiled 248 to 136 computations (45.2% saved)

series5.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	yi	@	inf	(.f32 uy (.f32 (PI.f32) yi))
1.0ms	uy	@	inf	(.f32 uy (.f32 (PI.f32) yi))
0.0ms	yi	@	0	(.f32 uy (.f32 (PI.f32) yi))
0.0ms	uy	@	-inf	(.f32 uy (.f32 (PI.f32) yi))
0.0ms	uy	@	0	(.f32 uy (.f32 (PI.f32) yi))

rewrite249.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2686×	`rational.json-simplify-2`
2558×	`rational.json-simplify-35`
1224×	`rational.json-simplify-1`
1144×	`exponential.json-3`
1144×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	54	24
2	125	24
3	260	24
4	471	24
5	1116	24
6	2424	24
7	3866	24
8	4640	24
9	5840	24
10	6607	24
11	6607	24
12	7336	24
13	7590	24

Stop Event

1×	node limit

Counts

2 → 30

Calls

Call 1

Inputs
(*.f32 (PI.f32) yi)
(.f32 uy (.f32 (PI.f32) yi))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) yi) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (PI.f32) yi))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) (*.f32 yi 1/2)) (*.f32 (PI.f32) (*.f32 yi 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (PI.f32) yi) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) yi) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (+.f32 yi yi)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 yi 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (PI.f32) yi) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (*.f32 (PI.f32) yi) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (PI.f32) yi) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (PI.f32) yi) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (PI.f32) yi) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (PI.f32) yi) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (PI.f32) yi) 8)))))) (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (PI.f32) yi) 8))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (PI.f32) yi) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 (PI.f32) yi) uy) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (*.f32 (PI.f32) yi) uy))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 (*.f32 (PI.f32) yi) uy) 1/2) (*.f32 (*.f32 (*.f32 (PI.f32) yi) uy) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (*.f32 (PI.f32) yi) uy) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (PI.f32) yi) uy) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 yi (*.f32 (PI.f32) (+.f32 uy uy))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 yi (*.f32 uy (*.f32 (PI.f32) 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (*.f32 (PI.f32) yi) uy) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (*.f32 (*.f32 (PI.f32) yi) uy) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (*.f32 (PI.f32) yi) uy) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (*.f32 (PI.f32) yi) uy) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (*.f32 (PI.f32) yi) uy) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (*.f32 (PI.f32) yi) uy) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (*.f32 (PI.f32) yi) uy) 8)))))) (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (*.f32 (PI.f32) yi) uy) 8))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (*.f32 (PI.f32) yi) uy) 1)))))

simplify225.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

2798×	`rational.json-simplify-2`
2038×	`rational.json-simplify-35`
1796×	`rational.json-simplify-1`
1456×	`rational.json-simplify-53`
1212×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	828
1	205	828
2	459	828
3	1107	828
4	2958	828
5	5834	828
6	6265	828
7	6522	828
8	6684	828
9	6844	828
10	7817	828

Stop Event

1×	node limit

Counts

66 → 36

Calls

Call 1

Inputs
(*.f32 yi (PI.f32))
(*.f32 yi (PI.f32))
(*.f32 yi (PI.f32))
(*.f32 yi (PI.f32))
(*.f32 yi (PI.f32))
(*.f32 yi (PI.f32))
(*.f32 yi (PI.f32))
(*.f32 yi (PI.f32))
(*.f32 yi (PI.f32))
(*.f32 yi (PI.f32))
(*.f32 yi (PI.f32))
(*.f32 yi (PI.f32))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 uy (.f32 yi (PI.f32)))
(+.f32 (*.f32 (PI.f32) yi) 0)
(+.f32 0 (*.f32 (PI.f32) yi))
(+.f32 (.f32 (PI.f32) (.f32 yi 1/2)) (.f32 (PI.f32) (.f32 yi 1/2)))
(-.f32 (*.f32 (PI.f32) yi) 0)
(/.f32 (*.f32 (PI.f32) yi) 1)
(/.f32 (*.f32 (PI.f32) (+.f32 yi yi)) 2)
(/.f32 (.f32 (PI.f32) (.f32 yi 4)) 4)
(/.f32 (.f32 (.f32 (PI.f32) yi) 8) 8)
(/.f32 (.f32 2 (.f32 (*.f32 (PI.f32) yi) 8)) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 (PI.f32) yi) 8))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (*.f32 (PI.f32) yi) 8)))) 64)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (PI.f32) yi) 8))))) 128)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (*.f32 (PI.f32) yi) 8)))))) 256)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (PI.f32) yi) 8)))))) (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (PI.f32) yi) 8))))))) 512)
(pow.f32 (*.f32 (PI.f32) yi) 1)
(+.f32 (.f32 (.f32 (PI.f32) yi) uy) 0)
(+.f32 0 (.f32 (.f32 (PI.f32) yi) uy))
(+.f32 (.f32 (.f32 (.f32 (PI.f32) yi) uy) 1/2) (.f32 (.f32 (.f32 (PI.f32) yi) uy) 1/2))
(-.f32 (.f32 (.f32 (PI.f32) yi) uy) 0)
(/.f32 (.f32 (.f32 (PI.f32) yi) uy) 1)
(/.f32 (.f32 yi (.f32 (PI.f32) (+.f32 uy uy))) 2)
(/.f32 (.f32 yi (.f32 uy (*.f32 (PI.f32) 4))) 4)
(/.f32 (.f32 (.f32 (*.f32 (PI.f32) yi) uy) 8) 8)
(/.f32 (.f32 2 (.f32 (.f32 (.f32 (PI.f32) yi) uy) 8)) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 (*.f32 (PI.f32) yi) uy) 8))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (.f32 (PI.f32) yi) uy) 8)))) 64)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (*.f32 (PI.f32) yi) uy) 8))))) 128)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (.f32 (PI.f32) yi) uy) 8)))))) 256)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (.f32 (PI.f32) yi) uy) 8)))))) (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (.f32 (PI.f32) yi) uy) 8))))))) 512)
(pow.f32 (.f32 (.f32 (PI.f32) yi) uy) 1)

Outputs
(*.f32 yi (PI.f32))
(*.f32 yi (PI.f32))
(*.f32 yi (PI.f32))
(*.f32 yi (PI.f32))
(*.f32 yi (PI.f32))
(*.f32 yi (PI.f32))
(*.f32 yi (PI.f32))
(*.f32 yi (PI.f32))
(*.f32 yi (PI.f32))
(*.f32 yi (PI.f32))
(*.f32 yi (PI.f32))
(*.f32 yi (PI.f32))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))
(+.f32 (*.f32 (PI.f32) yi) 0)
(*.f32 yi (PI.f32))
(+.f32 0 (*.f32 (PI.f32) yi))
(*.f32 yi (PI.f32))
(+.f32 (.f32 (PI.f32) (.f32 yi 1/2)) (.f32 (PI.f32) (.f32 yi 1/2)))
(*.f32 yi (PI.f32))
(-.f32 (*.f32 (PI.f32) yi) 0)
(*.f32 yi (PI.f32))
(/.f32 (*.f32 (PI.f32) yi) 1)
(*.f32 yi (PI.f32))
(/.f32 (*.f32 (PI.f32) (+.f32 yi yi)) 2)
(*.f32 yi (PI.f32))
(/.f32 (.f32 (PI.f32) (.f32 yi 4)) 4)
(*.f32 yi (PI.f32))
(/.f32 (.f32 (.f32 (PI.f32) yi) 8) 8)
(*.f32 yi (PI.f32))
(/.f32 (.f32 2 (.f32 (*.f32 (PI.f32) yi) 8)) 16)
(*.f32 yi (PI.f32))
(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 (PI.f32) yi) 8))) 32)
(*.f32 yi (PI.f32))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (*.f32 (PI.f32) yi) 8)))) 64)
(*.f32 yi (PI.f32))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (PI.f32) yi) 8))))) 128)
(*.f32 yi (PI.f32))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (*.f32 (PI.f32) yi) 8)))))) 256)
(*.f32 yi (PI.f32))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (PI.f32) yi) 8)))))) (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (PI.f32) yi) 8))))))) 512)
(*.f32 yi (PI.f32))
(pow.f32 (*.f32 (PI.f32) yi) 1)
(*.f32 yi (PI.f32))
(+.f32 (.f32 (.f32 (PI.f32) yi) uy) 0)
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))
(+.f32 0 (.f32 (.f32 (PI.f32) yi) uy))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))
(+.f32 (.f32 (.f32 (.f32 (PI.f32) yi) uy) 1/2) (.f32 (.f32 (.f32 (PI.f32) yi) uy) 1/2))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))
(-.f32 (.f32 (.f32 (PI.f32) yi) uy) 0)
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))
(/.f32 (.f32 (.f32 (PI.f32) yi) uy) 1)
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))
(/.f32 (.f32 yi (.f32 (PI.f32) (+.f32 uy uy))) 2)
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))
(/.f32 (.f32 yi (.f32 uy (*.f32 (PI.f32) 4))) 4)
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))
(/.f32 (.f32 (.f32 (*.f32 (PI.f32) yi) uy) 8) 8)
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))
(/.f32 (.f32 2 (.f32 (.f32 (.f32 (PI.f32) yi) uy) 8)) 16)
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))
(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 (*.f32 (PI.f32) yi) uy) 8))) 32)
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (.f32 (PI.f32) yi) uy) 8)))) 64)
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (*.f32 (PI.f32) yi) uy) 8))))) 128)
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (.f32 (PI.f32) yi) uy) 8)))))) 256)
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (.f32 (PI.f32) yi) uy) 8)))))) (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (.f32 (PI.f32) yi) uy) 8))))))) 512)
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))
(pow.f32 (.f32 (.f32 (PI.f32) yi) uy) 1)
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 (PI.f32) (.f32 yi uy))

localize217.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f32 uy (.f32 2 (PI.f32)))
✓	0.3b	(*.f32 (PI.f32) (+.f32 -2 (+.f32 uy (-.f32 uy -2))))
✓	0.4b	(+.f32 uy (-.f32 uy -2))
✓	16.1b	(+.f32 -2 (+.f32 uy (-.f32 uy -2)))

Compiler

Compiled 295 to 182 computations (38.3% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	uy	@	0	(+.f32 -2 (+.f32 uy (-.f32 uy -2)))
0.0ms	uy	@	inf	(+.f32 -2 (+.f32 uy (-.f32 uy -2)))
0.0ms	uy	@	-inf	(+.f32 -2 (+.f32 uy (-.f32 uy -2)))
0.0ms	uy	@	0	(*.f32 (PI.f32) (+.f32 -2 (+.f32 uy (-.f32 uy -2))))
0.0ms	uy	@	inf	(*.f32 (PI.f32) (+.f32 -2 (+.f32 uy (-.f32 uy -2))))

rewrite198.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2160×	`rational.json-simplify-35`
1530×	`rational.json-simplify-53`
1430×	`rational.json-simplify-1`
1182×	`rational.json-simplify-2`
1162×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	59
1	67	59
2	141	59
3	293	35
4	610	35
5	1419	35
6	3098	35
7	4921	35
8	6129	35
9	6714	35
10	6714	35
11	6714	35

Stop Event

1×	node limit

Counts

3 → 64

Calls

Call 1

Inputs
(+.f32 -2 (+.f32 uy (-.f32 uy -2)))
(+.f32 uy (-.f32 uy -2))
(*.f32 (PI.f32) (+.f32 -2 (+.f32 uy (-.f32 uy -2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 uy uy) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 uy 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 uy uy) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 uy uy))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 uy)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 uy 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (*.f32 uy 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 uy 8) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 uy 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 8 (*.f32 uy 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 uy 8)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 uy 1/2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 uy 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/8 (*.f32 2 (*.f32 uy 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 uy 1/4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 uy uy) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 uy 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 uy 8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 uy 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 uy 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 uy 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 uy 8))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 uy 8)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 uy 8)))))) (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 uy 8))))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 uy uy) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 uy (+.f32 uy 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 uy (+.f32 uy 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 uy (+.f32 uy 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (+.f32 uy (+.f32 uy 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 uy (+.f32 uy 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (*.f32 (+.f32 uy (+.f32 uy 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 uy (+.f32 uy 2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (+.f32 uy (+.f32 uy 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (+.f32 (+.f32 uy uy) (+.f32 uy (+.f32 uy 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 uy (+.f32 uy 2)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 uy (+.f32 uy 2)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (+.f32 uy (+.f32 uy 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/8 (*.f32 (+.f32 uy (+.f32 uy 2)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 uy (+.f32 uy 2)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (+.f32 uy uy) (+.f32 uy (+.f32 uy 4))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 uy (+.f32 uy 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 uy (+.f32 uy 2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 uy (+.f32 uy 2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 uy (+.f32 uy 2)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (+.f32 uy (+.f32 uy 2)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (+.f32 uy (+.f32 uy 2)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (+.f32 uy (+.f32 uy 2)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (+.f32 uy (+.f32 uy 2)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (+.f32 uy (+.f32 uy 2)) 8))))) (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (+.f32 uy (+.f32 uy 2)) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 uy (+.f32 uy 2)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 uy (*.f32 (PI.f32) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 uy (*.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 uy (PI.f32)) (*.f32 uy (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 uy (*.f32 (PI.f32) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 uy (*.f32 (PI.f32) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 uy 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 uy 8)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 16 (*.f32 uy (PI.f32))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 16 (*.f32 uy (PI.f32)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 16 (*.f32 uy (PI.f32))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 16 (*.f32 uy (PI.f32)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 16 (*.f32 uy (PI.f32))))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 16 (*.f32 uy (PI.f32))))))) (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 16 (*.f32 uy (PI.f32)))))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 uy (*.f32 (PI.f32) 2)) 1)))))

simplify478.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

2550×	`rational.json-simplify-35`
2376×	`rational.json-simplify-2`
1808×	`rational.json-simplify-53`
1306×	`rational.json-simplify-51`
1056×	`exponential.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	1142
1	280	1142
2	773	1130
3	1729	1118
4	3790	1118
5	4874	1118
6	5406	1118
7	5613	1118
8	5739	1118
9	5864	1118
10	6649	1118
11	6904	1118
12	7326	1118
13	7536	1118
14	7536	1118
15	7661	1118
16	7786	1118
17	7911	1118

Stop Event

1×	node limit

Counts

100 → 74

Calls

Call 1

Inputs
(*.f32 2 uy)
(*.f32 2 uy)
(*.f32 2 uy)
(*.f32 2 uy)
(*.f32 2 uy)
(*.f32 2 uy)
(*.f32 2 uy)
(*.f32 2 uy)
(*.f32 2 uy)
(*.f32 2 uy)
(*.f32 2 uy)
(*.f32 2 uy)
2
(+.f32 (*.f32 2 uy) 2)
(+.f32 (*.f32 2 uy) 2)
(+.f32 (*.f32 2 uy) 2)
(*.f32 2 uy)
(+.f32 (*.f32 2 uy) 2)
(+.f32 (*.f32 2 uy) 2)
(+.f32 (*.f32 2 uy) 2)
(*.f32 2 uy)
(+.f32 (*.f32 2 uy) 2)
(+.f32 (*.f32 2 uy) 2)
(+.f32 (*.f32 2 uy) 2)
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(-.f32 (+.f32 uy uy) 0)
(*.f32 uy 2)
(*.f32 (+.f32 uy uy) 1)
(*.f32 1 (+.f32 uy uy))
(*.f32 2 uy)
(.f32 (.f32 uy 4) 1/2)
(.f32 4 (.f32 uy 1/2))
(.f32 (.f32 uy 8) 1/4)
(.f32 1/2 (.f32 uy 4))
(.f32 8 (.f32 uy 1/4))
(.f32 (.f32 2 (*.f32 uy 8)) 1/8)
(.f32 (.f32 uy 1/2) 4)
(.f32 1/4 (.f32 uy 8))
(.f32 1/8 (.f32 2 (*.f32 uy 8)))
(.f32 (.f32 uy 1/4) 8)
(/.f32 (+.f32 uy uy) 1)
(/.f32 (*.f32 uy 4) 2)
(/.f32 (*.f32 uy 8) 4)
(/.f32 (.f32 2 (.f32 uy 8)) 8)
(/.f32 (.f32 2 (.f32 2 (*.f32 uy 8))) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 uy 8)))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (*.f32 uy 8))))) 64)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 uy 8)))))) 128)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 uy 8)))))) (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 uy 8))))))) 256)
(pow.f32 (+.f32 uy uy) 1)
(-.f32 (+.f32 uy (+.f32 uy 2)) 0)
(*.f32 (+.f32 uy (+.f32 uy 2)) 1)
(*.f32 1 (+.f32 uy (+.f32 uy 2)))
(.f32 2 (.f32 (+.f32 uy (+.f32 uy 2)) 1/2))
(.f32 (.f32 (+.f32 uy (+.f32 uy 2)) 2) 1/2)
(.f32 4 (.f32 (+.f32 uy (+.f32 uy 2)) 1/4))
(.f32 (.f32 (+.f32 uy (+.f32 uy 2)) 4) 1/4)
(.f32 1/2 (.f32 (+.f32 uy (+.f32 uy 2)) 2))
(*.f32 1/2 (+.f32 (+.f32 uy uy) (+.f32 uy (+.f32 uy 4))))
(.f32 (.f32 (+.f32 uy (+.f32 uy 2)) 8) 1/8)
(.f32 (.f32 (+.f32 uy (+.f32 uy 2)) 1/2) 2)
(.f32 1/4 (.f32 (+.f32 uy (+.f32 uy 2)) 4))
(.f32 1/8 (.f32 (+.f32 uy (+.f32 uy 2)) 8))
(.f32 (.f32 (+.f32 uy (+.f32 uy 2)) 1/4) 4)
(*.f32 (+.f32 (+.f32 uy uy) (+.f32 uy (+.f32 uy 4))) 1/2)
(/.f32 (+.f32 uy (+.f32 uy 2)) 1)
(/.f32 (*.f32 (+.f32 uy (+.f32 uy 2)) 2) 2)
(/.f32 (*.f32 (+.f32 uy (+.f32 uy 2)) 4) 4)
(/.f32 (*.f32 (+.f32 uy (+.f32 uy 2)) 8) 8)
(/.f32 (.f32 2 (.f32 (+.f32 uy (+.f32 uy 2)) 8)) 16)
(/.f32 (.f32 2 (.f32 2 (*.f32 (+.f32 uy (+.f32 uy 2)) 8))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 uy (+.f32 uy 2)) 8)))) 64)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (*.f32 (+.f32 uy (+.f32 uy 2)) 8))))) 128)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 uy (+.f32 uy 2)) 8))))) (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 uy (+.f32 uy 2)) 8)))))) 256)
(pow.f32 (+.f32 uy (+.f32 uy 2)) 1)
(+.f32 (.f32 uy (.f32 (PI.f32) 2)) 0)
(+.f32 0 (.f32 uy (.f32 (PI.f32) 2)))
(+.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32)))
(-.f32 (.f32 uy (.f32 (PI.f32) 2)) 0)
(/.f32 (.f32 uy (.f32 (PI.f32) 2)) 1)
(/.f32 (.f32 (PI.f32) (.f32 uy 4)) 2)
(/.f32 (.f32 (PI.f32) (.f32 uy 8)) 4)
(/.f32 (.f32 16 (.f32 uy (PI.f32))) 8)
(/.f32 (.f32 2 (.f32 16 (*.f32 uy (PI.f32)))) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 16 (.f32 uy (PI.f32))))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (*.f32 uy (PI.f32)))))) 64)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (.f32 uy (PI.f32))))))) 128)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (.f32 uy (PI.f32))))))) (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (.f32 uy (PI.f32)))))))) 256)
(pow.f32 (.f32 uy (.f32 (PI.f32) 2)) 1)

Outputs
(*.f32 2 uy)
(+.f32 uy uy)
(*.f32 2 uy)
(+.f32 uy uy)
(*.f32 2 uy)
(+.f32 uy uy)
(*.f32 2 uy)
(+.f32 uy uy)
(*.f32 2 uy)
(+.f32 uy uy)
(*.f32 2 uy)
(+.f32 uy uy)
(*.f32 2 uy)
(+.f32 uy uy)
(*.f32 2 uy)
(+.f32 uy uy)
(*.f32 2 uy)
(+.f32 uy uy)
(*.f32 2 uy)
(+.f32 uy uy)
(*.f32 2 uy)
(+.f32 uy uy)
(*.f32 2 uy)
(+.f32 uy uy)
2
(+.f32 (*.f32 2 uy) 2)
(+.f32 2 (*.f32 2 uy))
(+.f32 2 (+.f32 uy uy))
(+.f32 (*.f32 2 uy) 2)
(+.f32 2 (*.f32 2 uy))
(+.f32 2 (+.f32 uy uy))
(+.f32 (*.f32 2 uy) 2)
(+.f32 2 (*.f32 2 uy))
(+.f32 2 (+.f32 uy uy))
(*.f32 2 uy)
(+.f32 uy uy)
(+.f32 (*.f32 2 uy) 2)
(+.f32 2 (*.f32 2 uy))
(+.f32 2 (+.f32 uy uy))
(+.f32 (*.f32 2 uy) 2)
(+.f32 2 (*.f32 2 uy))
(+.f32 2 (+.f32 uy uy))
(+.f32 (*.f32 2 uy) 2)
(+.f32 2 (*.f32 2 uy))
(+.f32 2 (+.f32 uy uy))
(*.f32 2 uy)
(+.f32 uy uy)
(+.f32 (*.f32 2 uy) 2)
(+.f32 2 (*.f32 2 uy))
(+.f32 2 (+.f32 uy uy))
(+.f32 (*.f32 2 uy) 2)
(+.f32 2 (*.f32 2 uy))
(+.f32 2 (+.f32 uy uy))
(+.f32 (*.f32 2 uy) 2)
(+.f32 2 (*.f32 2 uy))
(+.f32 2 (+.f32 uy uy))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(-.f32 (+.f32 uy uy) 0)
(*.f32 2 uy)
(+.f32 uy uy)
(*.f32 uy 2)
(*.f32 2 uy)
(+.f32 uy uy)
(*.f32 (+.f32 uy uy) 1)
(*.f32 2 uy)
(+.f32 uy uy)
(*.f32 1 (+.f32 uy uy))
(*.f32 2 uy)
(+.f32 uy uy)
(*.f32 2 uy)
(+.f32 uy uy)
(.f32 (.f32 uy 4) 1/2)
(*.f32 2 uy)
(+.f32 uy uy)
(.f32 4 (.f32 uy 1/2))
(*.f32 2 uy)
(+.f32 uy uy)
(.f32 (.f32 uy 8) 1/4)
(*.f32 2 uy)
(+.f32 uy uy)
(.f32 1/2 (.f32 uy 4))
(*.f32 2 uy)
(+.f32 uy uy)
(.f32 8 (.f32 uy 1/4))
(*.f32 2 uy)
(+.f32 uy uy)
(.f32 (.f32 2 (*.f32 uy 8)) 1/8)
(*.f32 2 uy)
(+.f32 uy uy)
(.f32 (.f32 uy 1/2) 4)
(*.f32 2 uy)
(+.f32 uy uy)
(.f32 1/4 (.f32 uy 8))
(*.f32 2 uy)
(+.f32 uy uy)
(.f32 1/8 (.f32 2 (*.f32 uy 8)))
(*.f32 2 uy)
(+.f32 uy uy)
(.f32 (.f32 uy 1/4) 8)
(*.f32 2 uy)
(+.f32 uy uy)
(/.f32 (+.f32 uy uy) 1)
(*.f32 2 uy)
(+.f32 uy uy)
(/.f32 (*.f32 uy 4) 2)
(*.f32 2 uy)
(+.f32 uy uy)
(/.f32 (*.f32 uy 8) 4)
(*.f32 2 uy)
(+.f32 uy uy)
(/.f32 (.f32 2 (.f32 uy 8)) 8)
(*.f32 2 uy)
(+.f32 uy uy)
(/.f32 (.f32 2 (.f32 2 (*.f32 uy 8))) 16)
(*.f32 2 uy)
(+.f32 uy uy)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 uy 8)))) 32)
(*.f32 2 uy)
(+.f32 uy uy)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (*.f32 uy 8))))) 64)
(*.f32 2 uy)
(+.f32 uy uy)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 uy 8)))))) 128)
(*.f32 2 uy)
(+.f32 uy uy)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 uy 8)))))) (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 uy 8))))))) 256)
(*.f32 2 uy)
(+.f32 uy uy)
(pow.f32 (+.f32 uy uy) 1)
(*.f32 2 uy)
(+.f32 uy uy)
(-.f32 (+.f32 uy (+.f32 uy 2)) 0)
(+.f32 2 (*.f32 2 uy))
(+.f32 2 (+.f32 uy uy))
(*.f32 (+.f32 uy (+.f32 uy 2)) 1)
(+.f32 2 (*.f32 2 uy))
(+.f32 2 (+.f32 uy uy))
(*.f32 1 (+.f32 uy (+.f32 uy 2)))
(+.f32 2 (*.f32 2 uy))
(+.f32 2 (+.f32 uy uy))
(.f32 2 (.f32 (+.f32 uy (+.f32 uy 2)) 1/2))
(+.f32 2 (*.f32 2 uy))
(+.f32 2 (+.f32 uy uy))
(.f32 (.f32 (+.f32 uy (+.f32 uy 2)) 2) 1/2)
(+.f32 2 (*.f32 2 uy))
(+.f32 2 (+.f32 uy uy))
(.f32 4 (.f32 (+.f32 uy (+.f32 uy 2)) 1/4))
(+.f32 2 (*.f32 2 uy))
(+.f32 2 (+.f32 uy uy))
(.f32 (.f32 (+.f32 uy (+.f32 uy 2)) 4) 1/4)
(+.f32 2 (*.f32 2 uy))
(+.f32 2 (+.f32 uy uy))
(.f32 1/2 (.f32 (+.f32 uy (+.f32 uy 2)) 2))
(+.f32 2 (*.f32 2 uy))
(+.f32 2 (+.f32 uy uy))
(*.f32 1/2 (+.f32 (+.f32 uy uy) (+.f32 uy (+.f32 uy 4))))
(*.f32 1/2 (+.f32 uy (+.f32 (+.f32 uy 4) (+.f32 uy uy))))
(*.f32 1/2 (+.f32 uy (+.f32 uy (+.f32 4 (+.f32 uy uy)))))
(.f32 1/2 (+.f32 uy (+.f32 4 (.f32 3 uy))))
(.f32 1/2 (+.f32 4 (.f32 uy 4)))
(.f32 (.f32 (+.f32 uy (+.f32 uy 2)) 8) 1/8)
(+.f32 2 (*.f32 2 uy))
(+.f32 2 (+.f32 uy uy))
(.f32 (.f32 (+.f32 uy (+.f32 uy 2)) 1/2) 2)
(+.f32 2 (*.f32 2 uy))
(+.f32 2 (+.f32 uy uy))
(.f32 1/4 (.f32 (+.f32 uy (+.f32 uy 2)) 4))
(+.f32 2 (*.f32 2 uy))
(+.f32 2 (+.f32 uy uy))
(.f32 1/8 (.f32 (+.f32 uy (+.f32 uy 2)) 8))
(+.f32 2 (*.f32 2 uy))
(+.f32 2 (+.f32 uy uy))
(.f32 (.f32 (+.f32 uy (+.f32 uy 2)) 1/4) 4)
(+.f32 2 (*.f32 2 uy))
(+.f32 2 (+.f32 uy uy))
(*.f32 (+.f32 (+.f32 uy uy) (+.f32 uy (+.f32 uy 4))) 1/2)
(*.f32 1/2 (+.f32 uy (+.f32 (+.f32 uy 4) (+.f32 uy uy))))
(*.f32 1/2 (+.f32 uy (+.f32 uy (+.f32 4 (+.f32 uy uy)))))
(.f32 1/2 (+.f32 uy (+.f32 4 (.f32 3 uy))))
(.f32 1/2 (+.f32 4 (.f32 uy 4)))
(/.f32 (+.f32 uy (+.f32 uy 2)) 1)
(+.f32 2 (*.f32 2 uy))
(+.f32 2 (+.f32 uy uy))
(/.f32 (*.f32 (+.f32 uy (+.f32 uy 2)) 2) 2)
(+.f32 2 (*.f32 2 uy))
(+.f32 2 (+.f32 uy uy))
(/.f32 (*.f32 (+.f32 uy (+.f32 uy 2)) 4) 4)
(+.f32 2 (*.f32 2 uy))
(+.f32 2 (+.f32 uy uy))
(/.f32 (*.f32 (+.f32 uy (+.f32 uy 2)) 8) 8)
(+.f32 2 (*.f32 2 uy))
(+.f32 2 (+.f32 uy uy))
(/.f32 (.f32 2 (.f32 (+.f32 uy (+.f32 uy 2)) 8)) 16)
(+.f32 2 (*.f32 2 uy))
(+.f32 2 (+.f32 uy uy))
(/.f32 (.f32 2 (.f32 2 (*.f32 (+.f32 uy (+.f32 uy 2)) 8))) 32)
(+.f32 2 (*.f32 2 uy))
(+.f32 2 (+.f32 uy uy))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 uy (+.f32 uy 2)) 8)))) 64)
(+.f32 2 (*.f32 2 uy))
(+.f32 2 (+.f32 uy uy))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (*.f32 (+.f32 uy (+.f32 uy 2)) 8))))) 128)
(+.f32 2 (*.f32 2 uy))
(+.f32 2 (+.f32 uy uy))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 uy (+.f32 uy 2)) 8))))) (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 uy (+.f32 uy 2)) 8)))))) 256)
(+.f32 2 (*.f32 2 uy))
(+.f32 2 (+.f32 uy uy))
(pow.f32 (+.f32 uy (+.f32 uy 2)) 1)
(+.f32 2 (*.f32 2 uy))
(+.f32 2 (+.f32 uy uy))
(+.f32 (.f32 uy (.f32 (PI.f32) 2)) 0)
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 0 (.f32 uy (.f32 (PI.f32) 2)))
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(-.f32 (.f32 uy (.f32 (PI.f32) 2)) 0)
(.f32 2 (.f32 uy (PI.f32)))
(/.f32 (.f32 uy (.f32 (PI.f32) 2)) 1)
(.f32 2 (.f32 uy (PI.f32)))
(/.f32 (.f32 (PI.f32) (.f32 uy 4)) 2)
(.f32 2 (.f32 uy (PI.f32)))
(/.f32 (.f32 (PI.f32) (.f32 uy 8)) 4)
(.f32 2 (.f32 uy (PI.f32)))
(/.f32 (.f32 16 (.f32 uy (PI.f32))) 8)
(.f32 2 (.f32 uy (PI.f32)))
(/.f32 (.f32 2 (.f32 16 (*.f32 uy (PI.f32)))) 16)
(.f32 2 (.f32 uy (PI.f32)))
(/.f32 (.f32 2 (.f32 2 (.f32 16 (.f32 uy (PI.f32))))) 32)
(.f32 2 (.f32 uy (PI.f32)))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (*.f32 uy (PI.f32)))))) 64)
(.f32 2 (.f32 uy (PI.f32)))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (.f32 uy (PI.f32))))))) 128)
(.f32 2 (.f32 uy (PI.f32)))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (.f32 uy (PI.f32))))))) (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (.f32 uy (PI.f32)))))))) 256)
(.f32 2 (.f32 uy (PI.f32)))
(pow.f32 (.f32 uy (.f32 (PI.f32) 2)) 1)
(.f32 2 (.f32 uy (PI.f32)))

localize214.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos))
	0.3b	(.f32 uy (.f32 2 (PI.f32)))
	0.3b	(*.f32 (PI.f32) (-.f32 1/2 uy))
	14.5b	(-.f32 (PI.f32) (.f32 2 (.f32 (PI.f32) (-.f32 1/2 uy))))

Compiler

Compiled 295 to 182 computations (38.3% saved)

localize336.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f32 uy (PI.f32))
✓	0.3b	(.f32 (PI.f32) (.f32 2 uy))
✓	0.4b	(.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3)
✓	0.7b	(pow.f32 (*.f32 uy (PI.f32)) 3)

Compiler

Compiled 321 to 189 computations (41.1% saved)

series4.0ms (0%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	uy	@	0	(.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3)
1.0ms	uy	@	-inf	(pow.f32 (*.f32 uy (PI.f32)) 3)
1.0ms	uy	@	0	(pow.f32 (*.f32 uy (PI.f32)) 3)
0.0ms	uy	@	inf	(.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3)
0.0ms	uy	@	inf	(pow.f32 (*.f32 uy (PI.f32)) 3)

rewrite206.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1834×	`rational.json-simplify-35`
1368×	`exponential.json-3`
1368×	`rational.json-1`
1368×	`rational.json-2`
1368×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	60
1	88	60
2	176	60
3	334	60
4	619	60
5	1468	60
6	3137	60
7	4420	60
8	5310	60
9	6666	60
10	7559	60
11	7559	60

Stop Event

1×	node limit

Counts

4 → 108

Calls

Call 1

Inputs
(pow.f32 (*.f32 uy (PI.f32)) 3)
(.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3)
(.f32 (PI.f32) (.f32 2 uy))
(*.f32 uy (PI.f32))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (pow.f32 (.f32 uy (PI.f32)) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 (.f32 uy (PI.f32)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) 1/2) (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (pow.f32 (.f32 uy (PI.f32)) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (.f32 uy (PI.f32)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (pow.f32 (.f32 uy (PI.f32)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (PI.f32) 3) (pow.f32 uy 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 4 (/.f32 (pow.f32 (.f32 uy (PI.f32)) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 4 (.f32 (.f32 (pow.f32 (PI.f32) 3) 1/2) (.f32 (pow.f32 uy 3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 4 (.f32 (.f32 (pow.f32 uy 3) 1/2) (.f32 (pow.f32 (PI.f32) 3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (pow.f32 uy 3)) (.f32 (pow.f32 (PI.f32) 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (pow.f32 (PI.f32) 3)) (.f32 (pow.f32 uy 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 8 (pow.f32 (.f32 uy (.f32 (PI.f32) 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (PI.f32) 3) 4) (.f32 1/2 (.f32 (pow.f32 uy 3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 uy 3) 4) (.f32 1/2 (.f32 (pow.f32 (PI.f32) 3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/4 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/4 (.f32 (.f32 (pow.f32 uy 3) 8) (.f32 (pow.f32 (PI.f32) 3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/4 (.f32 (.f32 (pow.f32 (PI.f32) 3) 8) (.f32 (pow.f32 uy 3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 uy 3) 1/2) (.f32 2 (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (PI.f32) 3) 1/2) (.f32 2 (pow.f32 uy 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 16 (.f32 (.f32 (pow.f32 (PI.f32) 3) 1/8) (.f32 (pow.f32 uy 3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 16 (.f32 (pow.f32 (.f32 uy 1/2) 3) (.f32 (pow.f32 (PI.f32) 3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (.f32 uy (PI.f32)) 3) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/8 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) 8))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (PI.f32) 3) 1/8) (.f32 (pow.f32 uy 3) 8))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (PI.f32) 3) 8) (pow.f32 (.f32 uy 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (.f32 uy (.f32 (PI.f32) 1/2)) 3) 8)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 uy 3) 8) (.f32 (pow.f32 (PI.f32) 3) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 uy 3) 64) (.f32 (pow.f32 (PI.f32) 3) 1/64))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (PI.f32) 3) 1/64) (.f32 (pow.f32 uy 3) 64))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (.f32 uy (.f32 (PI.f32) 4)) 3) 1/64)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/64 (pow.f32 (.f32 uy (.f32 (PI.f32) 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (.f32 uy 1/2) 3) (.f32 (pow.f32 (PI.f32) 3) 8))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 64 (pow.f32 (.f32 (PI.f32) (.f32 uy 1/4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (.f32 (PI.f32) (.f32 uy 1/4)) 3) 64)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 128 (.f32 (.f32 (pow.f32 (PI.f32) 3) 1/64) (.f32 (pow.f32 uy 3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 128 (.f32 (.f32 (pow.f32 uy 3) 1/64) (.f32 (pow.f32 (PI.f32) 3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (.f32 (pow.f32 uy 3) 8)) (.f32 1/8 (.f32 (pow.f32 (PI.f32) 3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (.f32 (pow.f32 uy 3) 64)) (.f32 1/64 (.f32 (pow.f32 (PI.f32) 3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (.f32 (pow.f32 (PI.f32) 3) 8)) (.f32 1/8 (.f32 (pow.f32 uy 3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (.f32 (PI.f32) 4) 3) (.f32 (pow.f32 uy 3) 1/64))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (.f32 uy (.f32 (PI.f32) 8)) 3) 1/512)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (.f32 (pow.f32 uy 3) 1/64)) (.f32 64 (.f32 (pow.f32 (PI.f32) 3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (pow.f32 (.f32 uy 1/2) 3)) (.f32 8 (.f32 (pow.f32 (PI.f32) 3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (.f32 (pow.f32 (PI.f32) 3) 1/8)) (.f32 8 (.f32 (pow.f32 uy 3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (pow.f32 (.f32 uy 8) 3)) (.f32 1/512 (.f32 (pow.f32 (PI.f32) 3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (pow.f32 (.f32 (PI.f32) 4) 3)) (.f32 1/64 (.f32 (pow.f32 uy 3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/32 (.f32 (.f32 (pow.f32 uy 3) 64) (.f32 (pow.f32 (PI.f32) 3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (.f32 uy (PI.f32)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (pow.f32 (*.f32 uy (PI.f32)) 3) 8)))))) 256)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -2/3) (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -8/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -16/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -8/3) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -8/3) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -8/3) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -8/3) 4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -8/3) 4))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -8/3) 4)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 (*.f32 uy (PI.f32)) 3) -4/3) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 uy (.f32 (PI.f32) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 uy (.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 uy (.f32 (PI.f32) 1/2)) (.f32 (PI.f32) (.f32 uy 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) (.f32 uy 3/2)) (.f32 uy (.f32 (PI.f32) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 uy (.f32 (PI.f32) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 uy (.f32 (PI.f32) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 uy (.f32 (PI.f32) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 uy (.f32 (PI.f32) 8)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 16 (.f32 uy (PI.f32))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 16 (.f32 uy (PI.f32)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 16 (.f32 uy (PI.f32))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (.f32 uy (PI.f32)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (.f32 uy (PI.f32))))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (.f32 uy (PI.f32)))))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 uy (*.f32 (PI.f32) 2)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 uy (PI.f32)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 uy (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 uy (.f32 (PI.f32) 1/2)) (.f32 uy (.f32 (PI.f32) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 uy (PI.f32)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 uy (PI.f32)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 uy (.f32 (PI.f32) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 uy (.f32 (PI.f32) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 uy (.f32 (PI.f32) 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 16 (.f32 uy (PI.f32))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 16 (.f32 uy (PI.f32)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 16 (.f32 uy (PI.f32))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (.f32 uy (PI.f32)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (.f32 uy (PI.f32))))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 uy (PI.f32)) 1)))))

simplify505.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

3576×	`rational.json-simplify-41`
3064×	`rational.json-simplify-35`
2176×	`rational.json-simplify-2`
1368×	`exponential.json-simplify-26`
766×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	227	2256
1	592	2256
2	1629	2256
3	3005	2256
4	3691	2256
5	4110	2256
6	4280	2256
7	4419	2256
8	4555	2256
9	5419	2256
10	5908	2256
11	6259	2256
12	6300	2256
13	6313	2256
14	6324	2256
15	6326	2256
16	6462	2256
17	6598	2256
18	6734	2256
19	6870	2256

Stop Event

1×	node limit

Counts

144 → 117

Calls

Call 1

Inputs
(*.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3))
(.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3)))
(.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3)))
(.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3)))
(.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3)))
(.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3)))
(.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3)))
(.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3)))
(.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3)))
(.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3)))
(.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3)))
(.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3)))
(.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (pow.f32 (*.f32 uy (PI.f32)) 3) 0)
(+.f32 0 (pow.f32 (*.f32 uy (PI.f32)) 3))
(+.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) 1/2) (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) 1/2))
(-.f32 (pow.f32 (*.f32 uy (PI.f32)) 3) 0)
(.f32 (pow.f32 (.f32 uy (PI.f32)) 3) 1)
(.f32 2 (.f32 (pow.f32 (*.f32 uy (PI.f32)) 3) 1/2))
(.f32 1 (pow.f32 (.f32 uy (PI.f32)) 3))
(*.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 (PI.f32) 3) (pow.f32 uy 3))
(.f32 (.f32 (pow.f32 (*.f32 uy (PI.f32)) 3) 2) 1/2)
(.f32 4 (/.f32 (pow.f32 (.f32 uy (PI.f32)) 3) 4))
(.f32 4 (.f32 (.f32 (pow.f32 (PI.f32) 3) 1/2) (.f32 (pow.f32 uy 3) 1/2)))
(.f32 4 (.f32 (.f32 (pow.f32 uy 3) 1/2) (.f32 (pow.f32 (PI.f32) 3) 1/2)))
(.f32 (.f32 (pow.f32 (*.f32 uy (PI.f32)) 3) 4) 1/4)
(.f32 (.f32 2 (pow.f32 uy 3)) (*.f32 (pow.f32 (PI.f32) 3) 1/2))
(.f32 (.f32 2 (pow.f32 (PI.f32) 3)) (*.f32 (pow.f32 uy 3) 1/2))
(.f32 1/2 (.f32 (pow.f32 (*.f32 uy (PI.f32)) 3) 2))
(.f32 8 (pow.f32 (.f32 uy (*.f32 (PI.f32) 1/2)) 3))
(.f32 (.f32 (pow.f32 (PI.f32) 3) 4) (.f32 1/2 (.f32 (pow.f32 uy 3) 1/2)))
(.f32 (.f32 (pow.f32 (*.f32 uy (PI.f32)) 3) 8) 1/8)
(.f32 (.f32 (pow.f32 uy 3) 4) (.f32 1/2 (.f32 (pow.f32 (PI.f32) 3) 1/2)))
(.f32 1/4 (.f32 (pow.f32 (*.f32 uy (PI.f32)) 3) 4))
(.f32 1/4 (.f32 (.f32 (pow.f32 uy 3) 8) (.f32 (pow.f32 (PI.f32) 3) 1/2)))
(.f32 1/4 (.f32 (.f32 (pow.f32 (PI.f32) 3) 8) (.f32 (pow.f32 uy 3) 1/2)))
(.f32 (.f32 (pow.f32 (*.f32 uy (PI.f32)) 3) 1/2) 2)
(.f32 (.f32 (pow.f32 uy 3) 1/2) (*.f32 2 (pow.f32 (PI.f32) 3)))
(.f32 (.f32 (pow.f32 (PI.f32) 3) 1/2) (*.f32 2 (pow.f32 uy 3)))
(.f32 16 (.f32 (.f32 (pow.f32 (PI.f32) 3) 1/8) (.f32 (pow.f32 uy 3) 1/2)))
(.f32 16 (.f32 (pow.f32 (.f32 uy 1/2) 3) (.f32 (pow.f32 (PI.f32) 3) 1/2)))
(.f32 (/.f32 (pow.f32 (.f32 uy (PI.f32)) 3) 4) 4)
(.f32 1/8 (.f32 (pow.f32 (*.f32 uy (PI.f32)) 3) 8))
(.f32 (.f32 (pow.f32 (PI.f32) 3) 1/8) (*.f32 (pow.f32 uy 3) 8))
(.f32 (.f32 (pow.f32 (PI.f32) 3) 8) (pow.f32 (*.f32 uy 1/2) 3))
(.f32 (pow.f32 (.f32 uy (*.f32 (PI.f32) 1/2)) 3) 8)
(.f32 (.f32 (pow.f32 uy 3) 8) (*.f32 (pow.f32 (PI.f32) 3) 1/8))
(.f32 (.f32 (pow.f32 uy 3) 64) (*.f32 (pow.f32 (PI.f32) 3) 1/64))
(.f32 (.f32 (pow.f32 (PI.f32) 3) 1/64) (*.f32 (pow.f32 uy 3) 64))
(.f32 (pow.f32 (.f32 uy (*.f32 (PI.f32) 4)) 3) 1/64)
(.f32 1/64 (pow.f32 (.f32 uy (*.f32 (PI.f32) 4)) 3))
(.f32 (pow.f32 (.f32 uy 1/2) 3) (*.f32 (pow.f32 (PI.f32) 3) 8))
(.f32 64 (pow.f32 (.f32 (PI.f32) (*.f32 uy 1/4)) 3))
(.f32 (pow.f32 (.f32 (PI.f32) (*.f32 uy 1/4)) 3) 64)
(.f32 128 (.f32 (.f32 (pow.f32 (PI.f32) 3) 1/64) (.f32 (pow.f32 uy 3) 1/2)))
(.f32 128 (.f32 (.f32 (pow.f32 uy 3) 1/64) (.f32 (pow.f32 (PI.f32) 3) 1/2)))
(.f32 (.f32 2 (.f32 (pow.f32 uy 3) 8)) (.f32 1/8 (*.f32 (pow.f32 (PI.f32) 3) 1/2)))
(.f32 (.f32 2 (.f32 (pow.f32 uy 3) 64)) (.f32 1/64 (*.f32 (pow.f32 (PI.f32) 3) 1/2)))
(.f32 (.f32 2 (.f32 (pow.f32 (PI.f32) 3) 8)) (.f32 1/8 (*.f32 (pow.f32 uy 3) 1/2)))
(.f32 (pow.f32 (.f32 (PI.f32) 4) 3) (*.f32 (pow.f32 uy 3) 1/64))
(.f32 (pow.f32 (.f32 uy (*.f32 (PI.f32) 8)) 3) 1/512)
(.f32 (.f32 2 (.f32 (pow.f32 uy 3) 1/64)) (.f32 64 (*.f32 (pow.f32 (PI.f32) 3) 1/2)))
(.f32 (.f32 2 (pow.f32 (.f32 uy 1/2) 3)) (.f32 8 (*.f32 (pow.f32 (PI.f32) 3) 1/2)))
(.f32 (.f32 2 (.f32 (pow.f32 (PI.f32) 3) 1/8)) (.f32 8 (*.f32 (pow.f32 uy 3) 1/2)))
(.f32 (.f32 2 (pow.f32 (.f32 uy 8) 3)) (.f32 1/512 (*.f32 (pow.f32 (PI.f32) 3) 1/2)))
(.f32 (.f32 2 (pow.f32 (.f32 (PI.f32) 4) 3)) (.f32 1/64 (*.f32 (pow.f32 uy 3) 1/2)))
(.f32 1/32 (.f32 (.f32 (pow.f32 uy 3) 64) (.f32 (pow.f32 (PI.f32) 3) 1/2)))
(/.f32 (pow.f32 (*.f32 uy (PI.f32)) 3) 1)
(/.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) 2) 2)
(/.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) 4) 4)
(/.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) 8) 8)
(/.f32 (.f32 2 (.f32 (pow.f32 (*.f32 uy (PI.f32)) 3) 8)) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) 8))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (pow.f32 (*.f32 uy (PI.f32)) 3) 8)))) 64)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) 8))))) 128)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (pow.f32 (*.f32 uy (PI.f32)) 3) 8)))))) 256)
(+.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3) 0)
(+.f32 0 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3))
(+.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -2/3) (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -2/3))
(-.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3) 0)
(/.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3) 1)
(/.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -8/3) 2)
(/.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -16/3) 4)
(/.f32 (.f32 (.f32 (pow.f32 (*.f32 uy (PI.f32)) 3) -8/3) 4) 8)
(/.f32 (.f32 2 (.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -8/3) 4)) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 (pow.f32 (*.f32 uy (PI.f32)) 3) -8/3) 4))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -8/3) 4)))) 64)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (pow.f32 (*.f32 uy (PI.f32)) 3) -8/3) 4))))) 128)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -8/3) 4)))))) 256)
(pow.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3) 1)
(+.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32)))
(+.f32 (.f32 uy (.f32 (PI.f32) 2)) 0)
(+.f32 0 (.f32 uy (.f32 (PI.f32) 2)))
(+.f32 (.f32 uy (.f32 (PI.f32) 1/2)) (.f32 (PI.f32) (.f32 uy 3/2)))
(+.f32 (.f32 (PI.f32) (.f32 uy 3/2)) (.f32 uy (.f32 (PI.f32) 1/2)))
(-.f32 (.f32 uy (.f32 (PI.f32) 2)) 0)
(/.f32 (.f32 uy (.f32 (PI.f32) 2)) 1)
(/.f32 (.f32 uy (.f32 (PI.f32) 4)) 2)
(/.f32 (.f32 uy (.f32 (PI.f32) 8)) 4)
(/.f32 (.f32 16 (.f32 uy (PI.f32))) 8)
(/.f32 (.f32 2 (.f32 16 (*.f32 uy (PI.f32)))) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 16 (.f32 uy (PI.f32))))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (*.f32 uy (PI.f32)))))) 64)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (.f32 uy (PI.f32))))))) 128)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (*.f32 uy (PI.f32)))))))) 256)
(pow.f32 (.f32 uy (.f32 (PI.f32) 2)) 1)
(+.f32 (*.f32 uy (PI.f32)) 0)
(+.f32 0 (*.f32 uy (PI.f32)))
(+.f32 (.f32 uy (.f32 (PI.f32) 1/2)) (.f32 uy (.f32 (PI.f32) 1/2)))
(-.f32 (*.f32 uy (PI.f32)) 0)
(/.f32 (*.f32 uy (PI.f32)) 1)
(/.f32 (.f32 uy (.f32 (PI.f32) 2)) 2)
(/.f32 (.f32 uy (.f32 (PI.f32) 4)) 4)
(/.f32 (.f32 uy (.f32 (PI.f32) 8)) 8)
(/.f32 (.f32 16 (.f32 uy (PI.f32))) 16)
(/.f32 (.f32 2 (.f32 16 (*.f32 uy (PI.f32)))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 16 (.f32 uy (PI.f32))))) 64)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (*.f32 uy (PI.f32)))))) 128)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (.f32 uy (PI.f32))))))) 256)
(pow.f32 (*.f32 uy (PI.f32)) 1)

Outputs
(*.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 uy (PI.f32)) 3)
(*.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 uy (PI.f32)) 3)
(*.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 uy (PI.f32)) 3)
(*.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 uy (PI.f32)) 3)
(*.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 uy (PI.f32)) 3)
(*.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 uy (PI.f32)) 3)
(*.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 uy (PI.f32)) 3)
(*.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 uy (PI.f32)) 3)
(*.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 uy (PI.f32)) 3)
(*.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 uy (PI.f32)) 3)
(*.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 uy (PI.f32)) 3)
(*.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 uy (PI.f32)) 3)
(.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3)))
(.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3))
(.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3)))
(.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3))
(.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3)))
(.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3))
(.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3)))
(.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3))
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eval2.3s (8%)

Compiler: Compiled 43979 to 27197 computations (38.2% saved)

prune857.0ms (3%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	806	15	821
Fresh	7	11	18
Picked	0	1	1
Done	4	0	4
Total	817	27	844

Error

0.2b

Counts

844 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	1.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) xi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (+.f32 (.f32 2 (.f32 (PI.f32) (.f32 uy yi))) (.f32 yi (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3))))) (.f32 (-.f32 1 ux) (.f32 (.f32 ux maxCos) zi))))
	5.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) xi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (-.f32 (-.f32 1 (sin.f32 (.f32 (PI.f32) (neg.f32 (+.f32 uy uy))))) 1) yi)) (.f32 (-.f32 1 ux) (.f32 (.f32 ux maxCos) zi))))
	2.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) xi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 yi (.f32 2 (.f32 uy (PI.f32))))) (.f32 (-.f32 1 ux) (.f32 (*.f32 ux maxCos) zi))))
	2.7b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (+.f32 maxCos (.f32 maxCos (.f32 ux -2))))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
▶	2.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (-.f32 (-.f32 (.f32 (PI.f32) (+.f32 uy uy)) -1) 1)) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	2.7b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (-.f32 (.f32 2 (.f32 (PI.f32) (+.f32 uy -1))) (.f32 (PI.f32) -2))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	2.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (-.f32 (PI.f32) (.f32 2 (.f32 (PI.f32) (-.f32 1/2 uy))))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
▶	0.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (+.f32 (+.f32 (.f32 2 (.f32 (PI.f32) uy)) 2) -2)) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
▶	2.7b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (+.f32 (.f32 (PI.f32) -2) (.f32 (PI.f32) (-.f32 (+.f32 uy uy) -2)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	2.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 2 (+.f32 uy -1)) -2))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	6.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 -2 (+.f32 uy (-.f32 uy -2))))) xi) (.f32 (sin.f32 (.f32 (PI.f32) (-.f32 (.f32 2 (+.f32 uy -1)) -2))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	2.7b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 -2 (+.f32 uy (-.f32 uy -2))))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	3.7b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 -2 2))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	1.0b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 yi (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (.f32 2 (.f32 uy (PI.f32))))) (.f32 yi (.f32 4/15 (pow.f32 (.f32 uy (PI.f32)) 5)))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	0.7b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3)) (+.f32 (+.f32 (.f32 yi (.f32 (PI.f32) (.f32 2 uy))) (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 7) -8/315))) (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 5) 4/15)))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	1.0b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 yi (.f32 (PI.f32) (.f32 2 uy))) (+.f32 (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 5) 4/15)) (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3)))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
✓	1.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 yi (.f32 (PI.f32) (.f32 2 uy))) (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
▶	1.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) (.f32 -4/3 yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	5.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (+.f32 (+.f32 (PI.f32) (.f32 (PI.f32) (+.f32 uy -1))) (.f32 uy (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	5.2b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (+.f32 1 (+.f32 (.f32 2 (.f32 (PI.f32) uy)) -1))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	1.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 yi (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (.f32 2 (.f32 uy (PI.f32))))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	2.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 yi (.f32 (PI.f32) (.f32 2 uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	2.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	2.8b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 maxCos (pow.f32 ux 2)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	6.1b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (-.f32 (PI.f32) (.f32 2 (.f32 (PI.f32) (-.f32 1/2 uy))))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	0.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
▶	2.8b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))

Compiler

Compiled 3093 to 2177 computations (29.6% saved)

localize262.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos))
	0.3b	(.f32 uy (.f32 2 (PI.f32)))
✓	0.3b	(*.f32 (PI.f32) uy)
✓	14.7b	(+.f32 (+.f32 (.f32 2 (.f32 (PI.f32) uy)) 2) -2)

Compiler

Compiled 295 to 179 computations (39.3% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	uy	@	0	(+.f32 (+.f32 (.f32 2 (.f32 (PI.f32) uy)) 2) -2)
0.0ms	uy	@	inf	(+.f32 (+.f32 (.f32 2 (.f32 (PI.f32) uy)) 2) -2)
0.0ms	uy	@	-inf	(+.f32 (+.f32 (.f32 2 (.f32 (PI.f32) uy)) 2) -2)
0.0ms	uy	@	-inf	(*.f32 (PI.f32) uy)
0.0ms	uy	@	0	(*.f32 (PI.f32) uy)

rewrite194.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1782×	`rational.json-simplify-35`
1384×	`rational.json-simplify-1`
1306×	`exponential.json-3`
1306×	`rational.json-1`
1306×	`rational.json-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	74	24
2	153	24
3	287	24
4	550	24
5	1387	24
6	2890	24
7	4443	24
8	5574	24
9	6573	24
10	7388	24
11	7388	24

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

Inputs
(+.f32 (+.f32 (.f32 2 (.f32 (PI.f32) uy)) 2) -2)
(*.f32 (PI.f32) uy)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 2 (*.f32 (PI.f32) uy)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (PI.f32) uy))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (*.f32 1/16 (*.f32 uy 4)) (*.f32 (PI.f32) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (*.f32 1/4 (*.f32 uy 1/2)) (*.f32 (PI.f32) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (*.f32 1/16 (+.f32 uy uy)) (*.f32 (PI.f32) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (*.f32 1/32 (*.f32 uy 4)) (*.f32 (PI.f32) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (PI.f32) (+.f32 uy uy))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 uy (*.f32 2 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) uy) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 (PI.f32) uy)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 2 (*.f32 (PI.f32) uy)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 uy uy) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 uy uy) (*.f32 8 (*.f32 (PI.f32) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (*.f32 uy 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (PI.f32)) uy)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (PI.f32)) (*.f32 8 (/.f32 uy 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 1/2) (*.f32 uy 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (*.f32 (PI.f32) (*.f32 uy 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (*.f32 uy 8)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 4) (*.f32 uy 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 uy 4) (*.f32 (PI.f32) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (PI.f32) (*.f32 uy 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 8 (*.f32 (PI.f32) (*.f32 uy 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 uy 8) (*.f32 (PI.f32) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 16 (*.f32 (PI.f32) uy)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 8) (*.f32 uy 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 8) (*.f32 1/16 (*.f32 uy 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 uy 1/2) (*.f32 (PI.f32) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (*.f32 uy 1/2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 1/4) (*.f32 uy 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (PI.f32) (*.f32 uy 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (*.f32 uy 1/4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 16 (*.f32 (PI.f32) (/.f32 uy 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 (PI.f32) 8)) (/.f32 uy 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 (PI.f32) 8)) (*.f32 uy 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 (PI.f32) 8)) (*.f32 1/4 (*.f32 uy 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 (PI.f32) 8)) (*.f32 1/16 (+.f32 uy uy)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 (PI.f32) 8)) (*.f32 1/32 (*.f32 uy 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 (PI.f32) 8)) (*.f32 1/2 (*.f32 uy 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 uy 8)) (*.f32 (PI.f32) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 uy 1/4) (*.f32 (PI.f32) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/8 (*.f32 16 (*.f32 (PI.f32) uy)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 1/8) (*.f32 2 (*.f32 uy 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 1/8) (*.f32 4 (*.f32 uy 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/16 (*.f32 (*.f32 (PI.f32) 8) (*.f32 uy 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/16 (*.f32 (*.f32 uy 4) (*.f32 (PI.f32) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (PI.f32) uy)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 uy 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 uy 8)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 16 (*.f32 (PI.f32) uy)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 16 (*.f32 (PI.f32) uy))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 16 (*.f32 (PI.f32) uy)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 16 (*.f32 (PI.f32) uy))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 16 (*.f32 (PI.f32) uy)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 16 (*.f32 (PI.f32) uy))))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 2 (*.f32 (PI.f32) uy)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) uy) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (PI.f32) uy))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) (*.f32 uy 1/2)) (*.f32 (PI.f32) (*.f32 uy 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (PI.f32) uy) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) uy) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (PI.f32) uy)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 uy 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 uy 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 16 (*.f32 (PI.f32) uy)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 16 (*.f32 (PI.f32) uy))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 16 (*.f32 (PI.f32) uy)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 16 (*.f32 (PI.f32) uy))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 16 (*.f32 (PI.f32) uy)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (PI.f32) uy) 1)))))

simplify476.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

3670×	`rational.json-simplify-2`
2724×	`rational.json-simplify-35`
1958×	`rational.json-simplify-53`
1082×	`exponential.json-simplify-26`
854×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	1254
1	347	1254
2	795	1254
3	2105	1254
4	3637	1254
5	4361	1254
6	4825	1254
7	4972	1254
8	5099	1254
9	5222	1254
10	6053	1254
11	6856	1254
12	6856	1254
13	6856	1254
14	6979	1254
15	7102	1254
16	7225	1254
17	7863	1254

Stop Event

1×	node limit

Counts

94 → 72

Calls

Call 1

Inputs
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(*.f32 uy (PI.f32))
(*.f32 uy (PI.f32))
(*.f32 uy (PI.f32))
(*.f32 uy (PI.f32))
(*.f32 uy (PI.f32))
(*.f32 uy (PI.f32))
(*.f32 uy (PI.f32))
(*.f32 uy (PI.f32))
(*.f32 uy (PI.f32))
(*.f32 uy (PI.f32))
(*.f32 uy (PI.f32))
(*.f32 uy (PI.f32))
(-.f32 (.f32 2 (.f32 (PI.f32) uy)) 0)
(.f32 2 (.f32 (PI.f32) uy))
(.f32 2 (.f32 (.f32 1/16 (.f32 uy 4)) (*.f32 (PI.f32) 4)))
(.f32 2 (.f32 (.f32 1/4 (.f32 uy 1/2)) (*.f32 (PI.f32) 8)))
(.f32 2 (.f32 (.f32 1/16 (+.f32 uy uy)) (.f32 (PI.f32) 8)))
(.f32 2 (.f32 (.f32 1/32 (.f32 uy 4)) (*.f32 (PI.f32) 8)))
(*.f32 (PI.f32) (+.f32 uy uy))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 (.f32 (PI.f32) uy) 2)
(.f32 (.f32 2 (*.f32 (PI.f32) uy)) 1)
(.f32 1 (.f32 2 (*.f32 (PI.f32) uy)))
(*.f32 (+.f32 uy uy) (PI.f32))
(.f32 (+.f32 uy uy) (.f32 8 (*.f32 (PI.f32) 1/8)))
(.f32 (.f32 (PI.f32) (*.f32 uy 4)) 1/2)
(.f32 (.f32 2 (PI.f32)) uy)
(.f32 (.f32 2 (PI.f32)) (*.f32 8 (/.f32 uy 8)))
(.f32 (.f32 (PI.f32) 1/2) (*.f32 uy 4))
(.f32 4 (.f32 (PI.f32) (*.f32 uy 1/2)))
(.f32 (.f32 (PI.f32) (*.f32 uy 8)) 1/4)
(.f32 (.f32 (PI.f32) 4) (*.f32 uy 1/2))
(.f32 (.f32 uy 4) (*.f32 (PI.f32) 1/2))
(.f32 1/2 (.f32 (PI.f32) (*.f32 uy 4)))
(.f32 8 (.f32 (PI.f32) (*.f32 uy 1/4)))
(.f32 (.f32 uy 8) (*.f32 (PI.f32) 1/4))
(.f32 (.f32 16 (*.f32 (PI.f32) uy)) 1/8)
(.f32 (.f32 (PI.f32) 8) (*.f32 uy 1/4))
(.f32 (.f32 (PI.f32) 8) (.f32 1/16 (.f32 uy 4)))
(.f32 (.f32 uy 1/2) (*.f32 (PI.f32) 4))
(.f32 (.f32 (PI.f32) (*.f32 uy 1/2)) 4)
(.f32 (.f32 (PI.f32) 1/4) (*.f32 uy 8))
(.f32 1/4 (.f32 (PI.f32) (*.f32 uy 8)))
(.f32 (.f32 (PI.f32) (*.f32 uy 1/4)) 8)
(.f32 16 (.f32 (PI.f32) (/.f32 uy 8)))
(.f32 (.f32 2 (*.f32 (PI.f32) 8)) (/.f32 uy 8))
(.f32 (.f32 2 (.f32 (PI.f32) 8)) (.f32 uy 1/8))
(.f32 (.f32 2 (.f32 (PI.f32) 8)) (.f32 1/4 (*.f32 uy 1/2)))
(.f32 (.f32 2 (.f32 (PI.f32) 8)) (.f32 1/16 (+.f32 uy uy)))
(.f32 (.f32 2 (.f32 (PI.f32) 8)) (.f32 1/32 (*.f32 uy 4)))
(.f32 (.f32 2 (.f32 (PI.f32) 8)) (.f32 1/2 (*.f32 uy 1/4)))
(.f32 (.f32 2 (.f32 uy 8)) (.f32 (PI.f32) 1/8))
(.f32 (.f32 uy 1/4) (*.f32 (PI.f32) 8))
(.f32 1/8 (.f32 16 (*.f32 (PI.f32) uy)))
(.f32 (.f32 (PI.f32) 1/8) (.f32 2 (.f32 uy 8)))
(.f32 (.f32 (PI.f32) 1/8) (.f32 4 (.f32 uy 4)))
(.f32 1/16 (.f32 (.f32 (PI.f32) 8) (.f32 uy 4)))
(.f32 1/16 (.f32 (.f32 uy 4) (.f32 (PI.f32) 8)))
(/.f32 (.f32 2 (.f32 (PI.f32) uy)) 1)
(/.f32 (.f32 (PI.f32) (.f32 uy 4)) 2)
(/.f32 (.f32 (PI.f32) (.f32 uy 8)) 4)
(/.f32 (.f32 16 (.f32 (PI.f32) uy)) 8)
(/.f32 (.f32 2 (.f32 16 (*.f32 (PI.f32) uy))) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 16 (.f32 (PI.f32) uy)))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (*.f32 (PI.f32) uy))))) 64)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (.f32 (PI.f32) uy)))))) 128)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (*.f32 (PI.f32) uy))))))) 256)
(pow.f32 (.f32 2 (.f32 (PI.f32) uy)) 1)
(+.f32 (*.f32 (PI.f32) uy) 0)
(+.f32 0 (*.f32 (PI.f32) uy))
(+.f32 (.f32 (PI.f32) (.f32 uy 1/2)) (.f32 (PI.f32) (.f32 uy 1/2)))
(-.f32 (*.f32 (PI.f32) uy) 0)
(/.f32 (*.f32 (PI.f32) uy) 1)
(/.f32 (.f32 2 (.f32 (PI.f32) uy)) 2)
(/.f32 (.f32 (PI.f32) (.f32 uy 4)) 4)
(/.f32 (.f32 (PI.f32) (.f32 uy 8)) 8)
(/.f32 (.f32 16 (.f32 (PI.f32) uy)) 16)
(/.f32 (.f32 2 (.f32 16 (*.f32 (PI.f32) uy))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 16 (.f32 (PI.f32) uy)))) 64)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (*.f32 (PI.f32) uy))))) 128)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (.f32 (PI.f32) uy)))))) 256)
(pow.f32 (*.f32 (PI.f32) uy) 1)

Outputs
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 2 (PI.f32)))
(*.f32 uy (PI.f32))
(*.f32 uy (PI.f32))
(*.f32 uy (PI.f32))
(*.f32 uy (PI.f32))
(*.f32 uy (PI.f32))
(*.f32 uy (PI.f32))
(*.f32 uy (PI.f32))
(*.f32 uy (PI.f32))
(*.f32 uy (PI.f32))
(*.f32 uy (PI.f32))
(*.f32 uy (PI.f32))
(*.f32 uy (PI.f32))
(-.f32 (.f32 2 (.f32 (PI.f32) uy)) 0)
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 (PI.f32) uy))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 (.f32 1/16 (.f32 uy 4)) (*.f32 (PI.f32) 4)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 (.f32 1/4 (.f32 uy 1/2)) (*.f32 (PI.f32) 8)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 (.f32 1/16 (+.f32 uy uy)) (.f32 (PI.f32) 8)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 (.f32 1/32 (.f32 uy 4)) (*.f32 (PI.f32) 8)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(*.f32 (PI.f32) (+.f32 uy uy))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 (PI.f32) uy) 2)
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 2 (*.f32 (PI.f32) uy)) 1)
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 1 (.f32 2 (*.f32 (PI.f32) uy)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(*.f32 (+.f32 uy uy) (PI.f32))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (+.f32 uy uy) (.f32 8 (*.f32 (PI.f32) 1/8)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 (PI.f32) (*.f32 uy 4)) 1/2)
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 2 (PI.f32)) uy)
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 2 (PI.f32)) (*.f32 8 (/.f32 uy 8)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 (PI.f32) 1/2) (*.f32 uy 4))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 4 (.f32 (PI.f32) (*.f32 uy 1/2)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 (PI.f32) (*.f32 uy 8)) 1/4)
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 (PI.f32) 4) (*.f32 uy 1/2))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 uy 4) (*.f32 (PI.f32) 1/2))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 1/2 (.f32 (PI.f32) (*.f32 uy 4)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 8 (.f32 (PI.f32) (*.f32 uy 1/4)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 uy 8) (*.f32 (PI.f32) 1/4))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 16 (*.f32 (PI.f32) uy)) 1/8)
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 (PI.f32) 8) (*.f32 uy 1/4))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 (PI.f32) 8) (.f32 1/16 (.f32 uy 4)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 uy 1/2) (*.f32 (PI.f32) 4))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 (PI.f32) (*.f32 uy 1/2)) 4)
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 (PI.f32) 1/4) (*.f32 uy 8))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 1/4 (.f32 (PI.f32) (*.f32 uy 8)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 (PI.f32) (*.f32 uy 1/4)) 8)
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 16 (.f32 (PI.f32) (/.f32 uy 8)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 2 (*.f32 (PI.f32) 8)) (/.f32 uy 8))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 2 (.f32 (PI.f32) 8)) (.f32 uy 1/8))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 2 (.f32 (PI.f32) 8)) (.f32 1/4 (*.f32 uy 1/2)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 2 (.f32 (PI.f32) 8)) (.f32 1/16 (+.f32 uy uy)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 2 (.f32 (PI.f32) 8)) (.f32 1/32 (*.f32 uy 4)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 2 (.f32 (PI.f32) 8)) (.f32 1/2 (*.f32 uy 1/4)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 2 (.f32 uy 8)) (.f32 (PI.f32) 1/8))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 uy 1/4) (*.f32 (PI.f32) 8))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 1/8 (.f32 16 (*.f32 (PI.f32) uy)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 (PI.f32) 1/8) (.f32 2 (.f32 uy 8)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 (PI.f32) 1/8) (.f32 4 (.f32 uy 4)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 1/16 (.f32 (.f32 (PI.f32) 8) (.f32 uy 4)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 1/16 (.f32 (.f32 uy 4) (.f32 (PI.f32) 8)))
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(/.f32 (.f32 2 (.f32 (PI.f32) uy)) 1)
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(/.f32 (.f32 (PI.f32) (.f32 uy 4)) 2)
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(/.f32 (.f32 (PI.f32) (.f32 uy 8)) 4)
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(/.f32 (.f32 16 (.f32 (PI.f32) uy)) 8)
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(/.f32 (.f32 2 (.f32 16 (*.f32 (PI.f32) uy))) 16)
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(/.f32 (.f32 2 (.f32 2 (.f32 16 (.f32 (PI.f32) uy)))) 32)
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (*.f32 (PI.f32) uy))))) 64)
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (.f32 (PI.f32) uy)))))) 128)
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (*.f32 (PI.f32) uy))))))) 256)
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(pow.f32 (.f32 2 (.f32 (PI.f32) uy)) 1)
(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (*.f32 (PI.f32) uy) 0)
(*.f32 uy (PI.f32))
(+.f32 0 (*.f32 (PI.f32) uy))
(*.f32 uy (PI.f32))
(+.f32 (.f32 (PI.f32) (.f32 uy 1/2)) (.f32 (PI.f32) (.f32 uy 1/2)))
(*.f32 uy (PI.f32))
(-.f32 (*.f32 (PI.f32) uy) 0)
(*.f32 uy (PI.f32))
(/.f32 (*.f32 (PI.f32) uy) 1)
(*.f32 uy (PI.f32))
(/.f32 (.f32 2 (.f32 (PI.f32) uy)) 2)
(*.f32 uy (PI.f32))
(/.f32 (.f32 (PI.f32) (.f32 uy 4)) 4)
(*.f32 uy (PI.f32))
(/.f32 (.f32 (PI.f32) (.f32 uy 8)) 8)
(*.f32 uy (PI.f32))
(/.f32 (.f32 16 (.f32 (PI.f32) uy)) 16)
(*.f32 uy (PI.f32))
(/.f32 (.f32 2 (.f32 16 (*.f32 (PI.f32) uy))) 32)
(*.f32 uy (PI.f32))
(/.f32 (.f32 2 (.f32 2 (.f32 16 (.f32 (PI.f32) uy)))) 64)
(*.f32 uy (PI.f32))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (*.f32 (PI.f32) uy))))) 128)
(*.f32 uy (PI.f32))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (.f32 (PI.f32) uy)))))) 256)
(*.f32 uy (PI.f32))
(pow.f32 (*.f32 (PI.f32) uy) 1)
(*.f32 uy (PI.f32))

localize236.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (-.f32 1 ux) (.f32 maxCos zi))
	0.2b	(.f32 uy (.f32 (PI.f32) yi))
	0.3b	(.f32 uy (.f32 2 (PI.f32)))
	0.4b	(*.f32 (PI.f32) yi)

Compiler

Compiled 183 to 81 computations (55.7% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	zi	@	inf	(.f32 (-.f32 1 ux) (.f32 maxCos zi))
0.0ms	maxCos	@	0	(.f32 (-.f32 1 ux) (.f32 maxCos zi))
0.0ms	zi	@	0	(.f32 (-.f32 1 ux) (.f32 maxCos zi))
0.0ms	maxCos	@	inf	(.f32 (-.f32 1 ux) (.f32 maxCos zi))
0.0ms	ux	@	0	(.f32 (-.f32 1 ux) (.f32 maxCos zi))

rewrite186.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2552×	`rational.json-simplify-2`
1302×	`rational.json-simplify-35`
1192×	`exponential.json-3`
1192×	`rational.json-1`
1192×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	70	19
2	164	19
3	320	19
4	584	19
5	1341	19
6	2908	19
7	4304	19
8	5233	19
9	6287	19
10	6389	19
11	6479	19

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

Inputs
(.f32 (-.f32 1 ux) (.f32 maxCos zi))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (-.f32 1 ux) (*.f32 maxCos zi)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (-.f32 1 ux) (*.f32 maxCos zi)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 maxCos (*.f32 (-.f32 1 ux) (*.f32 zi 1/2))) (*.f32 maxCos (*.f32 (-.f32 1 ux) (*.f32 zi 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (-.f32 1 ux) (*.f32 maxCos zi)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 1 ux) (*.f32 maxCos zi)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 1 ux) (*.f32 zi (+.f32 maxCos maxCos))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 1 ux) (*.f32 maxCos (*.f32 zi 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 maxCos 8) (*.f32 (-.f32 1 ux) zi)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (*.f32 maxCos 8) (*.f32 (-.f32 1 ux) zi))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (*.f32 maxCos 8) (*.f32 (-.f32 1 ux) zi)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 maxCos 8) (*.f32 (-.f32 1 ux) zi))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 maxCos 8) (*.f32 (-.f32 1 ux) zi)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (-.f32 1 ux) (*.f32 maxCos zi)) 1)))))

simplify252.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

2958×	`rational.json-simplify-2`
2476×	`rational.json-simplify-35`
1202×	`exponential.json-simplify-26`
1082×	`rational.json-simplify-53`
1078×	`rational.json-simplify-43`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	571
1	139	495
2	307	495
3	744	495
4	2453	495
5	4864	495
6	5588	495
7	6081	495
8	6084	495
9	6084	495
10	7508	495
11	7509	495
12	7800	495

Stop Event

1×	node limit

Counts

25 → 25

Calls

Call 1

Inputs
(*.f32 maxCos zi)
(+.f32 (.f32 -1 (.f32 maxCos (.f32 ux zi))) (.f32 maxCos zi))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 ux zi))) (.f32 maxCos zi))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 ux zi))) (.f32 maxCos zi))
(.f32 -1 (.f32 maxCos (*.f32 ux zi)))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 ux zi))) (.f32 maxCos zi))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 ux zi))) (.f32 maxCos zi))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 ux zi))) (.f32 maxCos zi))
(.f32 -1 (.f32 maxCos (*.f32 ux zi)))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 ux zi))) (.f32 maxCos zi))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 ux zi))) (.f32 maxCos zi))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 ux zi))) (.f32 maxCos zi))
(+.f32 (.f32 (-.f32 1 ux) (.f32 maxCos zi)) 0)
(+.f32 0 (.f32 (-.f32 1 ux) (.f32 maxCos zi)))
(+.f32 (.f32 maxCos (.f32 (-.f32 1 ux) (.f32 zi 1/2))) (.f32 maxCos (.f32 (-.f32 1 ux) (.f32 zi 1/2))))
(-.f32 (.f32 (-.f32 1 ux) (.f32 maxCos zi)) 0)
(/.f32 (.f32 (-.f32 1 ux) (.f32 maxCos zi)) 1)
(/.f32 (.f32 (-.f32 1 ux) (.f32 zi (+.f32 maxCos maxCos))) 2)
(/.f32 (.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 zi 4))) 4)
(/.f32 (.f32 (.f32 maxCos 8) (*.f32 (-.f32 1 ux) zi)) 8)
(/.f32 (.f32 2 (.f32 (.f32 maxCos 8) (.f32 (-.f32 1 ux) zi))) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 maxCos 8) (*.f32 (-.f32 1 ux) zi)))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 maxCos 8) (.f32 (-.f32 1 ux) zi))))) 64)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 maxCos 8) (*.f32 (-.f32 1 ux) zi)))))) 128)
(pow.f32 (.f32 (-.f32 1 ux) (.f32 maxCos zi)) 1)

Outputs
(*.f32 maxCos zi)
(+.f32 (.f32 -1 (.f32 maxCos (.f32 ux zi))) (.f32 maxCos zi))
(+.f32 (.f32 maxCos zi) (.f32 maxCos (.f32 (.f32 zi ux) -1)))
(.f32 maxCos (+.f32 zi (neg.f32 (.f32 zi ux))))
(.f32 maxCos (+.f32 zi (.f32 zi (neg.f32 ux))))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 ux zi))) (.f32 maxCos zi))
(+.f32 (.f32 maxCos zi) (.f32 maxCos (.f32 (.f32 zi ux) -1)))
(.f32 maxCos (+.f32 zi (neg.f32 (.f32 zi ux))))
(.f32 maxCos (+.f32 zi (.f32 zi (neg.f32 ux))))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 ux zi))) (.f32 maxCos zi))
(+.f32 (.f32 maxCos zi) (.f32 maxCos (.f32 (.f32 zi ux) -1)))
(.f32 maxCos (+.f32 zi (neg.f32 (.f32 zi ux))))
(.f32 maxCos (+.f32 zi (.f32 zi (neg.f32 ux))))
(.f32 -1 (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 (*.f32 zi ux) -1))
(.f32 maxCos (neg.f32 (.f32 zi ux)))
(.f32 maxCos (.f32 zi (neg.f32 ux)))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 ux zi))) (.f32 maxCos zi))
(+.f32 (.f32 maxCos zi) (.f32 maxCos (.f32 (.f32 zi ux) -1)))
(.f32 maxCos (+.f32 zi (neg.f32 (.f32 zi ux))))
(.f32 maxCos (+.f32 zi (.f32 zi (neg.f32 ux))))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 ux zi))) (.f32 maxCos zi))
(+.f32 (.f32 maxCos zi) (.f32 maxCos (.f32 (.f32 zi ux) -1)))
(.f32 maxCos (+.f32 zi (neg.f32 (.f32 zi ux))))
(.f32 maxCos (+.f32 zi (.f32 zi (neg.f32 ux))))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 ux zi))) (.f32 maxCos zi))
(+.f32 (.f32 maxCos zi) (.f32 maxCos (.f32 (.f32 zi ux) -1)))
(.f32 maxCos (+.f32 zi (neg.f32 (.f32 zi ux))))
(.f32 maxCos (+.f32 zi (.f32 zi (neg.f32 ux))))
(.f32 -1 (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 (*.f32 zi ux) -1))
(.f32 maxCos (neg.f32 (.f32 zi ux)))
(.f32 maxCos (.f32 zi (neg.f32 ux)))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 ux zi))) (.f32 maxCos zi))
(+.f32 (.f32 maxCos zi) (.f32 maxCos (.f32 (.f32 zi ux) -1)))
(.f32 maxCos (+.f32 zi (neg.f32 (.f32 zi ux))))
(.f32 maxCos (+.f32 zi (.f32 zi (neg.f32 ux))))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 ux zi))) (.f32 maxCos zi))
(+.f32 (.f32 maxCos zi) (.f32 maxCos (.f32 (.f32 zi ux) -1)))
(.f32 maxCos (+.f32 zi (neg.f32 (.f32 zi ux))))
(.f32 maxCos (+.f32 zi (.f32 zi (neg.f32 ux))))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 ux zi))) (.f32 maxCos zi))
(+.f32 (.f32 maxCos zi) (.f32 maxCos (.f32 (.f32 zi ux) -1)))
(.f32 maxCos (+.f32 zi (neg.f32 (.f32 zi ux))))
(.f32 maxCos (+.f32 zi (.f32 zi (neg.f32 ux))))
(+.f32 (.f32 (-.f32 1 ux) (.f32 maxCos zi)) 0)
(.f32 (.f32 maxCos zi) (-.f32 1 ux))
(.f32 zi (.f32 (-.f32 1 ux) maxCos))
(.f32 maxCos (.f32 zi (-.f32 1 ux)))
(+.f32 0 (.f32 (-.f32 1 ux) (.f32 maxCos zi)))
(.f32 (.f32 maxCos zi) (-.f32 1 ux))
(.f32 zi (.f32 (-.f32 1 ux) maxCos))
(.f32 maxCos (.f32 zi (-.f32 1 ux)))
(+.f32 (.f32 maxCos (.f32 (-.f32 1 ux) (.f32 zi 1/2))) (.f32 maxCos (.f32 (-.f32 1 ux) (.f32 zi 1/2))))
(.f32 (.f32 maxCos zi) (-.f32 1 ux))
(.f32 zi (.f32 (-.f32 1 ux) maxCos))
(.f32 maxCos (.f32 zi (-.f32 1 ux)))
(-.f32 (.f32 (-.f32 1 ux) (.f32 maxCos zi)) 0)
(.f32 (.f32 maxCos zi) (-.f32 1 ux))
(.f32 zi (.f32 (-.f32 1 ux) maxCos))
(.f32 maxCos (.f32 zi (-.f32 1 ux)))
(/.f32 (.f32 (-.f32 1 ux) (.f32 maxCos zi)) 1)
(.f32 (.f32 maxCos zi) (-.f32 1 ux))
(.f32 zi (.f32 (-.f32 1 ux) maxCos))
(.f32 maxCos (.f32 zi (-.f32 1 ux)))
(/.f32 (.f32 (-.f32 1 ux) (.f32 zi (+.f32 maxCos maxCos))) 2)
(.f32 (.f32 maxCos zi) (-.f32 1 ux))
(.f32 zi (.f32 (-.f32 1 ux) maxCos))
(.f32 maxCos (.f32 zi (-.f32 1 ux)))
(/.f32 (.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 zi 4))) 4)
(.f32 (.f32 maxCos zi) (-.f32 1 ux))
(.f32 zi (.f32 (-.f32 1 ux) maxCos))
(.f32 maxCos (.f32 zi (-.f32 1 ux)))
(/.f32 (.f32 (.f32 maxCos 8) (*.f32 (-.f32 1 ux) zi)) 8)
(.f32 (.f32 maxCos zi) (-.f32 1 ux))
(.f32 zi (.f32 (-.f32 1 ux) maxCos))
(.f32 maxCos (.f32 zi (-.f32 1 ux)))
(/.f32 (.f32 2 (.f32 (.f32 maxCos 8) (.f32 (-.f32 1 ux) zi))) 16)
(.f32 (.f32 maxCos zi) (-.f32 1 ux))
(.f32 zi (.f32 (-.f32 1 ux) maxCos))
(.f32 maxCos (.f32 zi (-.f32 1 ux)))
(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 maxCos 8) (*.f32 (-.f32 1 ux) zi)))) 32)
(.f32 (.f32 maxCos zi) (-.f32 1 ux))
(.f32 zi (.f32 (-.f32 1 ux) maxCos))
(.f32 maxCos (.f32 zi (-.f32 1 ux)))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 maxCos 8) (.f32 (-.f32 1 ux) zi))))) 64)
(.f32 (.f32 maxCos zi) (-.f32 1 ux))
(.f32 zi (.f32 (-.f32 1 ux) maxCos))
(.f32 maxCos (.f32 zi (-.f32 1 ux)))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 maxCos 8) (*.f32 (-.f32 1 ux) zi)))))) 128)
(.f32 (.f32 maxCos zi) (-.f32 1 ux))
(.f32 zi (.f32 (-.f32 1 ux) maxCos))
(.f32 maxCos (.f32 zi (-.f32 1 ux)))
(pow.f32 (.f32 (-.f32 1 ux) (.f32 maxCos zi)) 1)
(.f32 (.f32 maxCos zi) (-.f32 1 ux))
(.f32 zi (.f32 (-.f32 1 ux) maxCos))
(.f32 maxCos (.f32 zi (-.f32 1 ux)))

localize206.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos))
✓	0.3b	(*.f32 (PI.f32) (+.f32 uy uy))
	0.4b	(*.f32 (PI.f32) yi)
✓	13.6b	(-.f32 (-.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -1) 1)

Compiler

Compiled 285 to 145 computations (49.1% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	uy	@	0	(-.f32 (-.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -1) 1)
0.0ms	uy	@	-inf	(-.f32 (-.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -1) 1)
0.0ms	uy	@	inf	(-.f32 (-.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -1) 1)
0.0ms	uy	@	inf	(*.f32 (PI.f32) (+.f32 uy uy))
0.0ms	uy	@	0	(*.f32 (PI.f32) (+.f32 uy uy))

rewrite145.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1856×	`rational.json-simplify-35`
1458×	`exponential.json-3`
1458×	`rational.json-1`
1458×	`rational.json-2`
1458×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	54
1	82	30
2	171	30
3	319	30
4	641	30
5	1492	30
6	3180	30
7	4849	30
8	6058	30
9	7224	30

Stop Event

1×	node limit

Counts

2 → 105

Calls

Call 1

Inputs
(-.f32 (-.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -1) 1)
(*.f32 (PI.f32) (+.f32 uy uy))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (PI.f32) (+.f32 uy uy)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 2 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) uy) (*.f32 (PI.f32) uy))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -2 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 3 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 3) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (+.f32 2 (*.f32 (PI.f32) (*.f32 uy 4))) 1/4) (/.f32 (+.f32 (*.f32 (PI.f32) (*.f32 uy 4)) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -3 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 -1 (*.f32 (PI.f32) uy)) (+.f32 1 (*.f32 (PI.f32) uy)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (*.f32 (PI.f32) uy)) (+.f32 -1 (*.f32 (PI.f32) uy)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 (*.f32 (PI.f32) (*.f32 uy 4)) -2) 4) (*.f32 (+.f32 2 (*.f32 (PI.f32) (*.f32 uy 4))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (PI.f32) (+.f32 uy uy))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 uy (*.f32 (PI.f32) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 uy uy) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 (PI.f32) (+.f32 uy uy)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (PI.f32) uy))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 1/2) (*.f32 uy 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 2) uy)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 uy 4) (*.f32 (PI.f32) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (*.f32 (PI.f32) (/.f32 uy 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (*.f32 (/.f32 uy 8) (*.f32 (PI.f32) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (*.f32 (/.f32 (PI.f32) 16) (*.f32 uy 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (*.f32 uy 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (PI.f32) (*.f32 uy 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) uy) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 4) (/.f32 uy 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 uy 8) (*.f32 (PI.f32) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 8 (*.f32 (PI.f32) (*.f32 uy 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 8 (*.f32 (/.f32 uy 8) (*.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 8 (*.f32 (/.f32 (PI.f32) 16) (*.f32 uy 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (*.f32 uy 8)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 8) (*.f32 uy 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 uy uy) 8) (*.f32 (PI.f32) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 16 (*.f32 (*.f32 (PI.f32) 1/2) (*.f32 uy 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 16 (*.f32 (/.f32 uy 2) (*.f32 (PI.f32) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 16 (*.f32 (/.f32 uy 8) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 16 (*.f32 (/.f32 uy 16) (*.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 16 (*.f32 (PI.f32) uy)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 uy 2) (*.f32 (PI.f32) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (PI.f32) (*.f32 uy 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 1/4) (*.f32 uy 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 (PI.f32) 8)) (*.f32 uy 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 (PI.f32) 8)) (*.f32 1/4 (/.f32 uy 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 (PI.f32) 8)) (*.f32 1/16 (+.f32 uy uy)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 (PI.f32) 8)) (*.f32 1/32 (*.f32 uy 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 (+.f32 uy uy) 8)) (*.f32 (*.f32 (PI.f32) 1/2) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 (+.f32 uy uy) 8)) (*.f32 1/4 (*.f32 (PI.f32) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 (+.f32 uy uy) 8)) (*.f32 1/16 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 (+.f32 uy uy) 8)) (*.f32 1/32 (*.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (/.f32 uy 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 uy 1/4) (*.f32 (PI.f32) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/8 (*.f32 16 (*.f32 (PI.f32) uy)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 1/8) (*.f32 (+.f32 uy uy) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (*.f32 uy 1/4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 uy 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 uy 8)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 16 (*.f32 (PI.f32) uy)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 16 (*.f32 (PI.f32) uy))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 16 (*.f32 (PI.f32) uy)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 16 (*.f32 (PI.f32) uy))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 16 (*.f32 (PI.f32) uy)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 16 (*.f32 (PI.f32) uy)))))) (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 16 (*.f32 (PI.f32) uy))))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (PI.f32) (+.f32 uy uy)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 2 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) uy) (*.f32 (PI.f32) uy))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -2 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 3 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 3) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (+.f32 2 (*.f32 (PI.f32) (*.f32 uy 4))) 1/4) (/.f32 (+.f32 (*.f32 (PI.f32) (*.f32 uy 4)) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -3 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 -1 (*.f32 (PI.f32) uy)) (+.f32 1 (*.f32 (PI.f32) uy)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (*.f32 (PI.f32) uy)) (+.f32 -1 (*.f32 (PI.f32) uy)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 (*.f32 (PI.f32) (*.f32 uy 4)) -2) 4) (*.f32 (+.f32 2 (*.f32 (PI.f32) (*.f32 uy 4))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 uy 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 uy 8)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 16 (*.f32 (PI.f32) uy)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 16 (*.f32 (PI.f32) uy))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 16 (*.f32 (PI.f32) uy)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 16 (*.f32 (PI.f32) uy))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 16 (*.f32 (PI.f32) uy)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 16 (*.f32 (PI.f32) uy)))))) (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 16 (*.f32 (PI.f32) uy))))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1)))))

simplify763.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

3444×	`rational.json-simplify-53`
2112×	`rational.json-simplify-2`
2014×	`rational.json-simplify-35`
1292×	`rational.json-simplify-48`
1148×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	2111
1	378	2111
2	997	2111
3	2159	2111
4	4208	2111
5	4785	2111
6	5075	2111
7	5206	2111
8	5318	2111
9	5438	2111
10	6437	2111
11	6557	2111
12	6837	2111
13	7133	2111
14	7247	2111
15	7361	2111
16	7384	2111
17	7406	2111
18	7471	2111
19	7501	2111

Stop Event

1×	node limit

Counts

129 → 78

Calls

Call 1

Inputs
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 0)
(+.f32 -1 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1))
(+.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1) -1)
(+.f32 1 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -1))
(+.f32 0 (*.f32 (PI.f32) (+.f32 uy uy)))
(+.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -1) 1)
(+.f32 2 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -2))
(+.f32 (.f32 (PI.f32) uy) (.f32 (PI.f32) uy))
(+.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 2) -2)
(+.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -2) 2)
(+.f32 -2 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 2))
(+.f32 3 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -3))
(+.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -3) 3)
(+.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 3) -3)
(+.f32 (.f32 (+.f32 2 (.f32 (PI.f32) (.f32 uy 4))) 1/4) (/.f32 (+.f32 (.f32 (PI.f32) (*.f32 uy 4)) -2) 4))
(+.f32 -3 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 3))
(+.f32 (+.f32 -1 (.f32 (PI.f32) uy)) (+.f32 1 (.f32 (PI.f32) uy)))
(+.f32 (+.f32 1 (.f32 (PI.f32) uy)) (+.f32 -1 (.f32 (PI.f32) uy)))
(+.f32 (/.f32 (+.f32 (.f32 (PI.f32) (.f32 uy 4)) -2) 4) (.f32 (+.f32 2 (.f32 (PI.f32) (*.f32 uy 4))) 1/4))
(*.f32 (PI.f32) (+.f32 uy uy))
(.f32 uy (.f32 (PI.f32) 2))
(*.f32 (+.f32 uy uy) (PI.f32))
(.f32 (.f32 (PI.f32) (+.f32 uy uy)) 1)
(.f32 1 (.f32 (PI.f32) (+.f32 uy uy)))
(.f32 2 (.f32 (PI.f32) uy))
(.f32 (.f32 (PI.f32) 1/2) (*.f32 uy 4))
(.f32 (.f32 (PI.f32) 2) uy)
(.f32 (.f32 uy 4) (*.f32 (PI.f32) 1/2))
(.f32 4 (.f32 (PI.f32) (/.f32 uy 2)))
(.f32 4 (.f32 (/.f32 uy 8) (*.f32 (PI.f32) 4)))
(.f32 4 (.f32 (/.f32 (PI.f32) 16) (*.f32 uy 8)))
(.f32 (.f32 (PI.f32) (*.f32 uy 4)) 1/2)
(.f32 1/2 (.f32 (PI.f32) (*.f32 uy 4)))
(.f32 (.f32 (PI.f32) uy) 2)
(.f32 (.f32 (PI.f32) 4) (/.f32 uy 2))
(.f32 (.f32 uy 8) (*.f32 (PI.f32) 1/4))
(.f32 8 (.f32 (PI.f32) (*.f32 uy 1/4)))
(.f32 8 (.f32 (/.f32 uy 8) (*.f32 (PI.f32) 2)))
(.f32 8 (.f32 (/.f32 (PI.f32) 16) (*.f32 uy 4)))
(.f32 (.f32 (PI.f32) (*.f32 uy 8)) 1/4)
(.f32 (.f32 (PI.f32) 8) (*.f32 uy 1/4))
(.f32 (.f32 (+.f32 uy uy) 8) (*.f32 (PI.f32) 1/8))
(.f32 16 (.f32 (.f32 (PI.f32) 1/2) (.f32 uy 1/4)))
(.f32 16 (.f32 (/.f32 uy 2) (*.f32 (PI.f32) 1/4)))
(.f32 16 (.f32 (/.f32 uy 8) (PI.f32)))
(.f32 16 (.f32 (/.f32 uy 16) (*.f32 (PI.f32) 2)))
(.f32 (.f32 16 (*.f32 (PI.f32) uy)) 1/8)
(.f32 (/.f32 uy 2) (.f32 (PI.f32) 4))
(.f32 1/4 (.f32 (PI.f32) (*.f32 uy 8)))
(.f32 (.f32 (PI.f32) 1/4) (*.f32 uy 8))
(.f32 (.f32 2 (.f32 (PI.f32) 8)) (.f32 uy 1/8))
(.f32 (.f32 2 (.f32 (PI.f32) 8)) (.f32 1/4 (/.f32 uy 2)))
(.f32 (.f32 2 (.f32 (PI.f32) 8)) (.f32 1/16 (+.f32 uy uy)))
(.f32 (.f32 2 (.f32 (PI.f32) 8)) (.f32 1/32 (*.f32 uy 4)))
(.f32 (.f32 2 (.f32 (+.f32 uy uy) 8)) (.f32 (*.f32 (PI.f32) 1/2) 1/8))
(.f32 (.f32 2 (.f32 (+.f32 uy uy) 8)) (.f32 1/4 (*.f32 (PI.f32) 1/4)))
(.f32 (.f32 2 (.f32 (+.f32 uy uy) 8)) (.f32 1/16 (PI.f32)))
(.f32 (.f32 2 (.f32 (+.f32 uy uy) 8)) (.f32 1/32 (*.f32 (PI.f32) 2)))
(.f32 (.f32 (PI.f32) (/.f32 uy 2)) 4)
(.f32 (.f32 uy 1/4) (*.f32 (PI.f32) 8))
(.f32 1/8 (.f32 16 (*.f32 (PI.f32) uy)))
(.f32 (.f32 (PI.f32) 1/8) (*.f32 (+.f32 uy uy) 8))
(.f32 (.f32 (PI.f32) (*.f32 uy 1/4)) 8)
(/.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1)
(/.f32 (.f32 (PI.f32) (.f32 uy 4)) 2)
(/.f32 (.f32 (PI.f32) (.f32 uy 8)) 4)
(/.f32 (.f32 16 (.f32 (PI.f32) uy)) 8)
(/.f32 (.f32 2 (.f32 16 (*.f32 (PI.f32) uy))) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 16 (.f32 (PI.f32) uy)))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (*.f32 (PI.f32) uy))))) 64)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (.f32 (PI.f32) uy)))))) 128)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (.f32 (PI.f32) uy)))))) (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (.f32 (PI.f32) uy))))))) 256)
(pow.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1)
(+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 0)
(+.f32 -1 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1))
(+.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1) -1)
(+.f32 1 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -1))
(+.f32 0 (*.f32 (PI.f32) (+.f32 uy uy)))
(+.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -1) 1)
(+.f32 2 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -2))
(+.f32 (.f32 (PI.f32) uy) (.f32 (PI.f32) uy))
(+.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 2) -2)
(+.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -2) 2)
(+.f32 -2 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 2))
(+.f32 3 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -3))
(+.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -3) 3)
(+.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 3) -3)
(+.f32 (.f32 (+.f32 2 (.f32 (PI.f32) (.f32 uy 4))) 1/4) (/.f32 (+.f32 (.f32 (PI.f32) (*.f32 uy 4)) -2) 4))
(+.f32 -3 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 3))
(+.f32 (+.f32 -1 (.f32 (PI.f32) uy)) (+.f32 1 (.f32 (PI.f32) uy)))
(+.f32 (+.f32 1 (.f32 (PI.f32) uy)) (+.f32 -1 (.f32 (PI.f32) uy)))
(+.f32 (/.f32 (+.f32 (.f32 (PI.f32) (.f32 uy 4)) -2) 4) (.f32 (+.f32 2 (.f32 (PI.f32) (*.f32 uy 4))) 1/4))
(-.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 0)
(-.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1) 1)
(-.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -1) -1)
(/.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1)
(/.f32 (.f32 (PI.f32) (.f32 uy 4)) 2)
(/.f32 (.f32 (PI.f32) (.f32 uy 8)) 4)
(/.f32 (.f32 16 (.f32 (PI.f32) uy)) 8)
(/.f32 (.f32 2 (.f32 16 (*.f32 (PI.f32) uy))) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 16 (.f32 (PI.f32) uy)))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (*.f32 (PI.f32) uy))))) 64)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (.f32 (PI.f32) uy)))))) 128)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (.f32 (PI.f32) uy)))))) (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (.f32 (PI.f32) uy))))))) 256)
(pow.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1)

Outputs
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 0)
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 -1 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1))
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1) -1)
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 1 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -1))
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 0 (*.f32 (PI.f32) (+.f32 uy uy)))
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -1) 1)
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 2 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -2))
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (.f32 (PI.f32) uy) (.f32 (PI.f32) uy))
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 2) -2)
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -2) 2)
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 -2 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 2))
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 3 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -3))
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -3) 3)
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 3) -3)
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (.f32 (+.f32 2 (.f32 (PI.f32) (.f32 uy 4))) 1/4) (/.f32 (+.f32 (.f32 (PI.f32) (*.f32 uy 4)) -2) 4))
(+.f32 (.f32 (+.f32 2 (.f32 uy (.f32 (PI.f32) 4))) 1/4) (/.f32 (+.f32 -2 (.f32 uy (*.f32 (PI.f32) 4))) 4))
(+.f32 -3 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 3))
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (+.f32 -1 (.f32 (PI.f32) uy)) (+.f32 1 (.f32 (PI.f32) uy)))
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (+.f32 1 (.f32 (PI.f32) uy)) (+.f32 -1 (.f32 (PI.f32) uy)))
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (/.f32 (+.f32 (.f32 (PI.f32) (.f32 uy 4)) -2) 4) (.f32 (+.f32 2 (.f32 (PI.f32) (*.f32 uy 4))) 1/4))
(+.f32 (.f32 (+.f32 2 (.f32 uy (.f32 (PI.f32) 4))) 1/4) (/.f32 (+.f32 -2 (.f32 uy (*.f32 (PI.f32) 4))) 4))
(*.f32 (PI.f32) (+.f32 uy uy))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 (PI.f32) 2))
(.f32 2 (.f32 uy (PI.f32)))
(*.f32 (+.f32 uy uy) (PI.f32))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 (PI.f32) (+.f32 uy uy)) 1)
(.f32 2 (.f32 uy (PI.f32)))
(.f32 1 (.f32 (PI.f32) (+.f32 uy uy)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 (PI.f32) uy))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 (PI.f32) 1/2) (*.f32 uy 4))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 (PI.f32) 2) uy)
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 uy 4) (*.f32 (PI.f32) 1/2))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 4 (.f32 (PI.f32) (/.f32 uy 2)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 4 (.f32 (/.f32 uy 8) (*.f32 (PI.f32) 4)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 4 (.f32 (/.f32 (PI.f32) 16) (*.f32 uy 8)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 (PI.f32) (*.f32 uy 4)) 1/2)
(.f32 2 (.f32 uy (PI.f32)))
(.f32 1/2 (.f32 (PI.f32) (*.f32 uy 4)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 (PI.f32) uy) 2)
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 (PI.f32) 4) (/.f32 uy 2))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 uy 8) (*.f32 (PI.f32) 1/4))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 8 (.f32 (PI.f32) (*.f32 uy 1/4)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 8 (.f32 (/.f32 uy 8) (*.f32 (PI.f32) 2)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 8 (.f32 (/.f32 (PI.f32) 16) (*.f32 uy 4)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 (PI.f32) (*.f32 uy 8)) 1/4)
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 (PI.f32) 8) (*.f32 uy 1/4))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 (+.f32 uy uy) 8) (*.f32 (PI.f32) 1/8))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 16 (.f32 (.f32 (PI.f32) 1/2) (.f32 uy 1/4)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 16 (.f32 (/.f32 uy 2) (*.f32 (PI.f32) 1/4)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 16 (.f32 (/.f32 uy 8) (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 16 (.f32 (/.f32 uy 16) (*.f32 (PI.f32) 2)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 16 (*.f32 (PI.f32) uy)) 1/8)
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (/.f32 uy 2) (.f32 (PI.f32) 4))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 1/4 (.f32 (PI.f32) (*.f32 uy 8)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 (PI.f32) 1/4) (*.f32 uy 8))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 2 (.f32 (PI.f32) 8)) (.f32 uy 1/8))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 2 (.f32 (PI.f32) 8)) (.f32 1/4 (/.f32 uy 2)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 2 (.f32 (PI.f32) 8)) (.f32 1/16 (+.f32 uy uy)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 2 (.f32 (PI.f32) 8)) (.f32 1/32 (*.f32 uy 4)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 2 (.f32 (+.f32 uy uy) 8)) (.f32 (*.f32 (PI.f32) 1/2) 1/8))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 2 (.f32 (+.f32 uy uy) 8)) (.f32 1/4 (*.f32 (PI.f32) 1/4)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 2 (.f32 (+.f32 uy uy) 8)) (.f32 1/16 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 2 (.f32 (+.f32 uy uy) 8)) (.f32 1/32 (*.f32 (PI.f32) 2)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 (PI.f32) (/.f32 uy 2)) 4)
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 uy 1/4) (*.f32 (PI.f32) 8))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 1/8 (.f32 16 (*.f32 (PI.f32) uy)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 (PI.f32) 1/8) (*.f32 (+.f32 uy uy) 8))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (.f32 (PI.f32) (*.f32 uy 1/4)) 8)
(.f32 2 (.f32 uy (PI.f32)))
(/.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1)
(.f32 2 (.f32 uy (PI.f32)))
(/.f32 (.f32 (PI.f32) (.f32 uy 4)) 2)
(.f32 2 (.f32 uy (PI.f32)))
(/.f32 (.f32 (PI.f32) (.f32 uy 8)) 4)
(.f32 2 (.f32 uy (PI.f32)))
(/.f32 (.f32 16 (.f32 (PI.f32) uy)) 8)
(.f32 2 (.f32 uy (PI.f32)))
(/.f32 (.f32 2 (.f32 16 (*.f32 (PI.f32) uy))) 16)
(.f32 2 (.f32 uy (PI.f32)))
(/.f32 (.f32 2 (.f32 2 (.f32 16 (.f32 (PI.f32) uy)))) 32)
(.f32 2 (.f32 uy (PI.f32)))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (*.f32 (PI.f32) uy))))) 64)
(.f32 2 (.f32 uy (PI.f32)))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (.f32 (PI.f32) uy)))))) 128)
(.f32 2 (.f32 uy (PI.f32)))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (.f32 (PI.f32) uy)))))) (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (.f32 (PI.f32) uy))))))) 256)
(.f32 2 (.f32 uy (PI.f32)))
(pow.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1)
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 0)
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 -1 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1))
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1) -1)
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 1 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -1))
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 0 (*.f32 (PI.f32) (+.f32 uy uy)))
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -1) 1)
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 2 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -2))
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (.f32 (PI.f32) uy) (.f32 (PI.f32) uy))
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 2) -2)
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -2) 2)
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 -2 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 2))
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 3 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -3))
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -3) 3)
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 3) -3)
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (.f32 (+.f32 2 (.f32 (PI.f32) (.f32 uy 4))) 1/4) (/.f32 (+.f32 (.f32 (PI.f32) (*.f32 uy 4)) -2) 4))
(+.f32 (.f32 (+.f32 2 (.f32 uy (.f32 (PI.f32) 4))) 1/4) (/.f32 (+.f32 -2 (.f32 uy (*.f32 (PI.f32) 4))) 4))
(+.f32 -3 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 3))
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (+.f32 -1 (.f32 (PI.f32) uy)) (+.f32 1 (.f32 (PI.f32) uy)))
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (+.f32 1 (.f32 (PI.f32) uy)) (+.f32 -1 (.f32 (PI.f32) uy)))
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (/.f32 (+.f32 (.f32 (PI.f32) (.f32 uy 4)) -2) 4) (.f32 (+.f32 2 (.f32 (PI.f32) (*.f32 uy 4))) 1/4))
(+.f32 (.f32 (+.f32 2 (.f32 uy (.f32 (PI.f32) 4))) 1/4) (/.f32 (+.f32 -2 (.f32 uy (*.f32 (PI.f32) 4))) 4))
(-.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 0)
(.f32 2 (.f32 uy (PI.f32)))
(-.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1) 1)
(.f32 2 (.f32 uy (PI.f32)))
(-.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -1) -1)
(.f32 2 (.f32 uy (PI.f32)))
(/.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1)
(.f32 2 (.f32 uy (PI.f32)))
(/.f32 (.f32 (PI.f32) (.f32 uy 4)) 2)
(.f32 2 (.f32 uy (PI.f32)))
(/.f32 (.f32 (PI.f32) (.f32 uy 8)) 4)
(.f32 2 (.f32 uy (PI.f32)))
(/.f32 (.f32 16 (.f32 (PI.f32) uy)) 8)
(.f32 2 (.f32 uy (PI.f32)))
(/.f32 (.f32 2 (.f32 16 (*.f32 (PI.f32) uy))) 16)
(.f32 2 (.f32 uy (PI.f32)))
(/.f32 (.f32 2 (.f32 2 (.f32 16 (.f32 (PI.f32) uy)))) 32)
(.f32 2 (.f32 uy (PI.f32)))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (*.f32 (PI.f32) uy))))) 64)
(.f32 2 (.f32 uy (PI.f32)))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (.f32 (PI.f32) uy)))))) 128)
(.f32 2 (.f32 uy (PI.f32)))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (.f32 (PI.f32) uy)))))) (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (.f32 (PI.f32) uy))))))) 256)
(.f32 2 (.f32 uy (PI.f32)))
(pow.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1)
(.f32 2 (.f32 uy (PI.f32)))

localize233.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos))
✓	0.4b	(*.f32 (PI.f32) (-.f32 (+.f32 uy uy) -2))
	0.4b	(*.f32 (PI.f32) yi)
✓	16.1b	(+.f32 (.f32 (PI.f32) -2) (.f32 (PI.f32) (-.f32 (+.f32 uy uy) -2)))

Compiler

Compiled 300 to 161 computations (46.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	uy	@	0	(+.f32 (.f32 (PI.f32) -2) (.f32 (PI.f32) (-.f32 (+.f32 uy uy) -2)))
0.0ms	uy	@	-inf	(+.f32 (.f32 (PI.f32) -2) (.f32 (PI.f32) (-.f32 (+.f32 uy uy) -2)))
0.0ms	uy	@	inf	(+.f32 (.f32 (PI.f32) -2) (.f32 (PI.f32) (-.f32 (+.f32 uy uy) -2)))
0.0ms	uy	@	0	(*.f32 (PI.f32) (-.f32 (+.f32 uy uy) -2))
0.0ms	uy	@	inf	(*.f32 (PI.f32) (-.f32 (+.f32 uy uy) -2))

rewrite146.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1552×	`rational.json-1`
1552×	`rational.json-2`
1552×	`rational.json-3`
1542×	`exponential.json-3`
1542×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	73	48
2	151	48
3	314	36
4	664	36
5	1548	36
6	3305	36
7	5277	36
8	6997	36
9	7982	36

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

Inputs
(+.f32 (.f32 (PI.f32) -2) (.f32 (PI.f32) (-.f32 (+.f32 uy uy) -2)))
(*.f32 (PI.f32) (-.f32 (+.f32 uy uy) -2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (PI.f32) (+.f32 uy uy))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 uy (*.f32 (PI.f32) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 (PI.f32) (+.f32 uy uy)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (PI.f32) uy))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (*.f32 (PI.f32) 1/4) (*.f32 uy 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 uy (*.f32 (PI.f32) 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 uy 4) (*.f32 (PI.f32) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 uy uy) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 1/2) (*.f32 uy 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 1/2) (+.f32 (+.f32 2 (+.f32 2 (*.f32 uy 4))) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 2) uy)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 2) (+.f32 (*.f32 (+.f32 uy (+.f32 uy 2)) 1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 2) (+.f32 -1 (*.f32 (+.f32 2 (+.f32 2 (*.f32 uy 4))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (*.f32 (PI.f32) (*.f32 uy 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (*.f32 (/.f32 uy 4) (*.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (*.f32 uy 8)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 uy 8) (*.f32 (PI.f32) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 4) (*.f32 uy 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 uy (*.f32 (PI.f32) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (+.f32 (*.f32 (PI.f32) -4) (*.f32 (+.f32 uy (+.f32 uy 2)) (*.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 8 (*.f32 (*.f32 uy 1/2) (*.f32 (PI.f32) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 8 (*.f32 (*.f32 (PI.f32) 1/4) uy))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 8 (*.f32 (/.f32 (PI.f32) 8) (+.f32 uy uy)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 8 (*.f32 (/.f32 uy 4) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 8 (*.f32 (*.f32 (PI.f32) 1/2) (*.f32 uy 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 8 (*.f32 uy (*.f32 (PI.f32) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 uy 8)) (*.f32 1/4 (*.f32 (PI.f32) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 uy 8)) (*.f32 1/8 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 uy 8)) (*.f32 1/2 (*.f32 (PI.f32) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 8) (*.f32 1/4 uy))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 8) (*.f32 1/8 (+.f32 uy uy)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 8) (*.f32 1/2 (*.f32 uy 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (PI.f32) (*.f32 uy 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) uy) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 uy 1/2) (*.f32 (PI.f32) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (*.f32 uy 1/2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (/.f32 (PI.f32) 8)) (*.f32 uy 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 uy (*.f32 (PI.f32) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 uy 8)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) (+.f32 uy (+.f32 uy 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (PI.f32) (+.f32 uy (+.f32 uy 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) (*.f32 (+.f32 uy (+.f32 uy 2)) 1/2)) (*.f32 (PI.f32) (*.f32 (+.f32 uy (+.f32 uy 2)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 (+.f32 2 (+.f32 2 (*.f32 uy 4))) 1/4) (PI.f32)) (*.f32 (*.f32 (+.f32 2 (+.f32 2 (*.f32 uy 4))) 1/4) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 (+.f32 uy (+.f32 uy 2)) 1/4) (*.f32 (PI.f32) 2)) (*.f32 (*.f32 (+.f32 uy (+.f32 uy 2)) 1/4) (*.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (PI.f32) (+.f32 uy (+.f32 uy 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (+.f32 uy (+.f32 uy 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 uy (+.f32 uy 2)) (*.f32 (PI.f32) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 uy (+.f32 uy 2)) (*.f32 (PI.f32) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (PI.f32) 8) (+.f32 uy (+.f32 uy 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (*.f32 (PI.f32) 8) (+.f32 uy (+.f32 uy 2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (PI.f32) 8) (+.f32 uy (+.f32 uy 2))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (PI.f32) 8) (+.f32 uy (+.f32 uy 2)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (PI.f32) 8) (+.f32 uy (+.f32 uy 2))))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (PI.f32) (+.f32 uy (+.f32 uy 2))) 1)))))

simplify405.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

3348×	`rational.json-simplify-41`
3112×	`rational.json-simplify-35`
2018×	`rational.json-simplify-2`
1502×	`rational.json-simplify-53`
1048×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	151	3343
1	385	2311
2	804	1831
3	2214	1477
4	4019	1477
5	4514	1477
6	4832	1477
7	4985	1477
8	5133	1477
9	5277	1477
10	6504	1477
11	6569	1477
12	6573	1477
13	6573	1477
14	6716	1477
15	6859	1477
16	7002	1477

Stop Event

1×	node limit

Counts

87 → 81

Calls

Call 1

Inputs
(+.f32 (.f32 2 (PI.f32)) (.f32 -2 (PI.f32)))
(+.f32 (.f32 -2 (PI.f32)) (+.f32 (.f32 2 (PI.f32)) (.f32 2 (.f32 uy (PI.f32)))))
(+.f32 (.f32 -2 (PI.f32)) (+.f32 (.f32 2 (PI.f32)) (.f32 2 (.f32 uy (PI.f32)))))
(+.f32 (.f32 -2 (PI.f32)) (+.f32 (.f32 2 (PI.f32)) (.f32 2 (.f32 uy (PI.f32)))))
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (.f32 2 (PI.f32)) (+.f32 (.f32 -2 (PI.f32)) (.f32 2 (.f32 uy (PI.f32)))))
(+.f32 (.f32 2 (PI.f32)) (+.f32 (.f32 -2 (PI.f32)) (.f32 2 (.f32 uy (PI.f32)))))
(+.f32 (.f32 2 (PI.f32)) (+.f32 (.f32 -2 (PI.f32)) (.f32 2 (.f32 uy (PI.f32)))))
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (.f32 2 (PI.f32)) (+.f32 (.f32 -2 (PI.f32)) (.f32 2 (.f32 uy (PI.f32)))))
(+.f32 (.f32 2 (PI.f32)) (+.f32 (.f32 -2 (PI.f32)) (.f32 2 (.f32 uy (PI.f32)))))
(+.f32 (.f32 2 (PI.f32)) (+.f32 (.f32 -2 (PI.f32)) (.f32 2 (.f32 uy (PI.f32)))))
(*.f32 2 (PI.f32))
(+.f32 (.f32 2 (PI.f32)) (.f32 2 (*.f32 uy (PI.f32))))
(+.f32 (.f32 2 (PI.f32)) (.f32 2 (*.f32 uy (PI.f32))))
(+.f32 (.f32 2 (PI.f32)) (.f32 2 (*.f32 uy (PI.f32))))
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (.f32 2 (PI.f32)) (.f32 2 (*.f32 uy (PI.f32))))
(+.f32 (.f32 2 (PI.f32)) (.f32 2 (*.f32 uy (PI.f32))))
(+.f32 (.f32 2 (PI.f32)) (.f32 2 (*.f32 uy (PI.f32))))
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (.f32 2 (PI.f32)) (.f32 2 (*.f32 uy (PI.f32))))
(+.f32 (.f32 2 (PI.f32)) (.f32 2 (*.f32 uy (PI.f32))))
(+.f32 (.f32 2 (PI.f32)) (.f32 2 (*.f32 uy (PI.f32))))
(-.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 0)
(*.f32 (PI.f32) (+.f32 uy uy))
(.f32 uy (.f32 (PI.f32) 2))
(.f32 (.f32 (PI.f32) (+.f32 uy uy)) 1)
(.f32 1 (.f32 (PI.f32) (+.f32 uy uy)))
(.f32 2 (.f32 (PI.f32) uy))
(.f32 2 (.f32 (.f32 (PI.f32) 1/4) (.f32 uy 4)))
(.f32 (.f32 uy (*.f32 (PI.f32) 4)) 1/2)
(.f32 (.f32 uy 4) (*.f32 (PI.f32) 1/2))
(*.f32 (+.f32 uy uy) (PI.f32))
(.f32 (.f32 (PI.f32) 1/2) (*.f32 uy 4))
(.f32 (.f32 (PI.f32) 1/2) (+.f32 (+.f32 2 (+.f32 2 (*.f32 uy 4))) -4))
(.f32 (.f32 (PI.f32) 2) uy)
(.f32 (.f32 (PI.f32) 2) (+.f32 (*.f32 (+.f32 uy (+.f32 uy 2)) 1/2) -1))
(.f32 (.f32 (PI.f32) 2) (+.f32 -1 (.f32 (+.f32 2 (+.f32 2 (.f32 uy 4))) 1/4)))
(.f32 4 (.f32 (PI.f32) (*.f32 uy 1/2)))
(.f32 4 (.f32 (/.f32 uy 4) (*.f32 (PI.f32) 2)))
(.f32 (.f32 (PI.f32) (*.f32 uy 8)) 1/4)
(.f32 (.f32 uy 8) (*.f32 (PI.f32) 1/4))
(.f32 (.f32 (PI.f32) 4) (*.f32 uy 1/2))
(.f32 1/2 (.f32 uy (*.f32 (PI.f32) 4)))
(.f32 1/2 (+.f32 (.f32 (PI.f32) -4) (.f32 (+.f32 uy (+.f32 uy 2)) (.f32 (PI.f32) 2))))
(.f32 8 (.f32 (.f32 uy 1/2) (.f32 (PI.f32) 1/2)))
(.f32 8 (.f32 (*.f32 (PI.f32) 1/4) uy))
(.f32 8 (.f32 (/.f32 (PI.f32) 8) (+.f32 uy uy)))
(.f32 8 (.f32 (/.f32 uy 4) (PI.f32)))
(.f32 8 (.f32 (.f32 (PI.f32) 1/2) (.f32 uy 1/2)))
(.f32 8 (.f32 uy (*.f32 (PI.f32) 1/4)))
(.f32 (.f32 2 (.f32 uy 8)) (.f32 1/4 (*.f32 (PI.f32) 1/2)))
(.f32 (.f32 2 (.f32 uy 8)) (.f32 1/8 (PI.f32)))
(.f32 (.f32 2 (.f32 uy 8)) (.f32 1/2 (*.f32 (PI.f32) 1/4)))
(.f32 (.f32 (PI.f32) 8) (*.f32 1/4 uy))
(.f32 (.f32 (PI.f32) 8) (*.f32 1/8 (+.f32 uy uy)))
(.f32 (.f32 (PI.f32) 8) (.f32 1/2 (.f32 uy 1/2)))
(.f32 1/4 (.f32 (PI.f32) (*.f32 uy 8)))
(.f32 (.f32 (PI.f32) uy) 2)
(.f32 (.f32 uy 1/2) (*.f32 (PI.f32) 4))
(.f32 (.f32 (PI.f32) (*.f32 uy 1/2)) 4)
(.f32 (.f32 2 (/.f32 (PI.f32) 8)) (*.f32 uy 8))
(/.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1)
(/.f32 (.f32 uy (.f32 (PI.f32) 4)) 2)
(/.f32 (.f32 (PI.f32) (.f32 uy 8)) 4)
(/.f32 (.f32 (.f32 (PI.f32) (+.f32 uy uy)) 8) 8)
(/.f32 (.f32 2 (.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 8)) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 (PI.f32) (+.f32 uy uy)) 8))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 8)))) 64)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (PI.f32) (+.f32 uy uy)) 8))))) 128)
(pow.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1)
(+.f32 (*.f32 (PI.f32) (+.f32 uy (+.f32 uy 2))) 0)
(+.f32 0 (*.f32 (PI.f32) (+.f32 uy (+.f32 uy 2))))
(+.f32 (.f32 (PI.f32) (.f32 (+.f32 uy (+.f32 uy 2)) 1/2)) (.f32 (PI.f32) (.f32 (+.f32 uy (+.f32 uy 2)) 1/2)))
(+.f32 (.f32 (.f32 (+.f32 2 (+.f32 2 (.f32 uy 4))) 1/4) (PI.f32)) (.f32 (.f32 (+.f32 2 (+.f32 2 (.f32 uy 4))) 1/4) (PI.f32)))
(+.f32 (.f32 (.f32 (+.f32 uy (+.f32 uy 2)) 1/4) (.f32 (PI.f32) 2)) (.f32 (.f32 (+.f32 uy (+.f32 uy 2)) 1/4) (.f32 (PI.f32) 2)))
(-.f32 (*.f32 (PI.f32) (+.f32 uy (+.f32 uy 2))) 0)
(/.f32 (*.f32 (PI.f32) (+.f32 uy (+.f32 uy 2))) 1)
(/.f32 (.f32 (+.f32 uy (+.f32 uy 2)) (.f32 (PI.f32) 2)) 2)
(/.f32 (.f32 (+.f32 uy (+.f32 uy 2)) (.f32 (PI.f32) 4)) 4)
(/.f32 (.f32 (.f32 (PI.f32) 8) (+.f32 uy (+.f32 uy 2))) 8)
(/.f32 (.f32 2 (.f32 (*.f32 (PI.f32) 8) (+.f32 uy (+.f32 uy 2)))) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 (PI.f32) 8) (+.f32 uy (+.f32 uy 2))))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (*.f32 (PI.f32) 8) (+.f32 uy (+.f32 uy 2)))))) 64)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (PI.f32) 8) (+.f32 uy (+.f32 uy 2))))))) 128)
(pow.f32 (*.f32 (PI.f32) (+.f32 uy (+.f32 uy 2))) 1)

Outputs
(+.f32 (.f32 2 (PI.f32)) (.f32 -2 (PI.f32)))
(+.f32 (.f32 (PI.f32) -2) (.f32 2 (PI.f32)))
(*.f32 (PI.f32) 0)
0
(+.f32 (.f32 -2 (PI.f32)) (+.f32 (.f32 2 (PI.f32)) (.f32 2 (.f32 uy (PI.f32)))))
(+.f32 (.f32 (PI.f32) -2) (+.f32 (.f32 (PI.f32) (.f32 uy 2)) (.f32 2 (PI.f32))))
(+.f32 (.f32 2 (.f32 (PI.f32) uy)) (*.f32 (PI.f32) 0))
(+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 0)
(*.f32 (PI.f32) (+.f32 uy uy))
(+.f32 (.f32 -2 (PI.f32)) (+.f32 (.f32 2 (PI.f32)) (.f32 2 (.f32 uy (PI.f32)))))
(+.f32 (.f32 (PI.f32) -2) (+.f32 (.f32 (PI.f32) (.f32 uy 2)) (.f32 2 (PI.f32))))
(+.f32 (.f32 2 (.f32 (PI.f32) uy)) (*.f32 (PI.f32) 0))
(+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 0)
(*.f32 (PI.f32) (+.f32 uy uy))
(+.f32 (.f32 -2 (PI.f32)) (+.f32 (.f32 2 (PI.f32)) (.f32 2 (.f32 uy (PI.f32)))))
(+.f32 (.f32 (PI.f32) -2) (+.f32 (.f32 (PI.f32) (.f32 uy 2)) (.f32 2 (PI.f32))))
(+.f32 (.f32 2 (.f32 (PI.f32) uy)) (*.f32 (PI.f32) 0))
(+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 0)
(*.f32 (PI.f32) (+.f32 uy uy))
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (.f32 (PI.f32) -2) (+.f32 (.f32 (PI.f32) (.f32 uy 2)) (.f32 2 (PI.f32))))
(+.f32 (.f32 2 (.f32 (PI.f32) uy)) (*.f32 (PI.f32) 0))
(+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 0)
(*.f32 (PI.f32) (+.f32 uy uy))
(+.f32 (.f32 2 (PI.f32)) (+.f32 (.f32 -2 (PI.f32)) (.f32 2 (.f32 uy (PI.f32)))))
(+.f32 (.f32 (PI.f32) -2) (+.f32 (.f32 (PI.f32) (.f32 uy 2)) (.f32 2 (PI.f32))))
(+.f32 (.f32 2 (.f32 (PI.f32) uy)) (*.f32 (PI.f32) 0))
(+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 0)
(*.f32 (PI.f32) (+.f32 uy uy))
(+.f32 (.f32 2 (PI.f32)) (+.f32 (.f32 -2 (PI.f32)) (.f32 2 (.f32 uy (PI.f32)))))
(+.f32 (.f32 (PI.f32) -2) (+.f32 (.f32 (PI.f32) (.f32 uy 2)) (.f32 2 (PI.f32))))
(+.f32 (.f32 2 (.f32 (PI.f32) uy)) (*.f32 (PI.f32) 0))
(+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 0)
(*.f32 (PI.f32) (+.f32 uy uy))
(+.f32 (.f32 2 (PI.f32)) (+.f32 (.f32 -2 (PI.f32)) (.f32 2 (.f32 uy (PI.f32)))))
(+.f32 (.f32 (PI.f32) -2) (+.f32 (.f32 (PI.f32) (.f32 uy 2)) (.f32 2 (PI.f32))))
(+.f32 (.f32 2 (.f32 (PI.f32) uy)) (*.f32 (PI.f32) 0))
(+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 0)
(*.f32 (PI.f32) (+.f32 uy uy))
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (.f32 (PI.f32) -2) (+.f32 (.f32 (PI.f32) (.f32 uy 2)) (.f32 2 (PI.f32))))
(+.f32 (.f32 2 (.f32 (PI.f32) uy)) (*.f32 (PI.f32) 0))
(+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 0)
(*.f32 (PI.f32) (+.f32 uy uy))
(+.f32 (.f32 2 (PI.f32)) (+.f32 (.f32 -2 (PI.f32)) (.f32 2 (.f32 uy (PI.f32)))))
(+.f32 (.f32 (PI.f32) -2) (+.f32 (.f32 (PI.f32) (.f32 uy 2)) (.f32 2 (PI.f32))))
(+.f32 (.f32 2 (.f32 (PI.f32) uy)) (*.f32 (PI.f32) 0))
(+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 0)
(*.f32 (PI.f32) (+.f32 uy uy))
(+.f32 (.f32 2 (PI.f32)) (+.f32 (.f32 -2 (PI.f32)) (.f32 2 (.f32 uy (PI.f32)))))
(+.f32 (.f32 (PI.f32) -2) (+.f32 (.f32 (PI.f32) (.f32 uy 2)) (.f32 2 (PI.f32))))
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(*.f32 (PI.f32) (+.f32 uy uy))
(/.f32 (.f32 (.f32 (PI.f32) (+.f32 uy uy)) 8) 8)
(+.f32 (.f32 (PI.f32) -2) (+.f32 (.f32 (PI.f32) (.f32 uy 2)) (.f32 2 (PI.f32))))
(+.f32 (.f32 2 (.f32 (PI.f32) uy)) (*.f32 (PI.f32) 0))
(+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 0)
(*.f32 (PI.f32) (+.f32 uy uy))
(/.f32 (.f32 2 (.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 8)) 16)
(+.f32 (.f32 (PI.f32) -2) (+.f32 (.f32 (PI.f32) (.f32 uy 2)) (.f32 2 (PI.f32))))
(+.f32 (.f32 2 (.f32 (PI.f32) uy)) (*.f32 (PI.f32) 0))
(+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 0)
(*.f32 (PI.f32) (+.f32 uy uy))
(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 (PI.f32) (+.f32 uy uy)) 8))) 32)
(+.f32 (.f32 (PI.f32) -2) (+.f32 (.f32 (PI.f32) (.f32 uy 2)) (.f32 2 (PI.f32))))
(+.f32 (.f32 2 (.f32 (PI.f32) uy)) (*.f32 (PI.f32) 0))
(+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 0)
(*.f32 (PI.f32) (+.f32 uy uy))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 8)))) 64)
(+.f32 (.f32 (PI.f32) -2) (+.f32 (.f32 (PI.f32) (.f32 uy 2)) (.f32 2 (PI.f32))))
(+.f32 (.f32 2 (.f32 (PI.f32) uy)) (*.f32 (PI.f32) 0))
(+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 0)
(*.f32 (PI.f32) (+.f32 uy uy))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (PI.f32) (+.f32 uy uy)) 8))))) 128)
(+.f32 (.f32 (PI.f32) -2) (+.f32 (.f32 (PI.f32) (.f32 uy 2)) (.f32 2 (PI.f32))))
(+.f32 (.f32 2 (.f32 (PI.f32) uy)) (*.f32 (PI.f32) 0))
(+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 0)
(*.f32 (PI.f32) (+.f32 uy uy))
(pow.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1)
(+.f32 (.f32 (PI.f32) -2) (+.f32 (.f32 (PI.f32) (.f32 uy 2)) (.f32 2 (PI.f32))))
(+.f32 (.f32 2 (.f32 (PI.f32) uy)) (*.f32 (PI.f32) 0))
(+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 0)
(*.f32 (PI.f32) (+.f32 uy uy))
(+.f32 (*.f32 (PI.f32) (+.f32 uy (+.f32 uy 2))) 0)
(+.f32 (.f32 (PI.f32) (.f32 uy 2)) (*.f32 2 (PI.f32)))
(.f32 (PI.f32) (+.f32 2 (.f32 2 uy)))
(*.f32 (PI.f32) (+.f32 2 (+.f32 uy uy)))
(+.f32 0 (*.f32 (PI.f32) (+.f32 uy (+.f32 uy 2))))
(+.f32 (.f32 (PI.f32) (.f32 uy 2)) (*.f32 2 (PI.f32)))
(.f32 (PI.f32) (+.f32 2 (.f32 2 uy)))
(*.f32 (PI.f32) (+.f32 2 (+.f32 uy uy)))
(+.f32 (.f32 (PI.f32) (.f32 (+.f32 uy (+.f32 uy 2)) 1/2)) (.f32 (PI.f32) (.f32 (+.f32 uy (+.f32 uy 2)) 1/2)))
(+.f32 (.f32 (PI.f32) (.f32 uy 2)) (*.f32 2 (PI.f32)))
(.f32 (PI.f32) (+.f32 2 (.f32 2 uy)))
(*.f32 (PI.f32) (+.f32 2 (+.f32 uy uy)))
(+.f32 (.f32 (.f32 (+.f32 2 (+.f32 2 (.f32 uy 4))) 1/4) (PI.f32)) (.f32 (.f32 (+.f32 2 (+.f32 2 (.f32 uy 4))) 1/4) (PI.f32)))
(+.f32 (.f32 (PI.f32) (.f32 uy 2)) (*.f32 2 (PI.f32)))
(.f32 (PI.f32) (+.f32 2 (.f32 2 uy)))
(*.f32 (PI.f32) (+.f32 2 (+.f32 uy uy)))
(+.f32 (.f32 (.f32 (+.f32 uy (+.f32 uy 2)) 1/4) (.f32 (PI.f32) 2)) (.f32 (.f32 (+.f32 uy (+.f32 uy 2)) 1/4) (.f32 (PI.f32) 2)))
(+.f32 (.f32 (PI.f32) (.f32 uy 2)) (*.f32 2 (PI.f32)))
(.f32 (PI.f32) (+.f32 2 (.f32 2 uy)))
(*.f32 (PI.f32) (+.f32 2 (+.f32 uy uy)))
(-.f32 (*.f32 (PI.f32) (+.f32 uy (+.f32 uy 2))) 0)
(+.f32 (.f32 (PI.f32) (.f32 uy 2)) (*.f32 2 (PI.f32)))
(.f32 (PI.f32) (+.f32 2 (.f32 2 uy)))
(*.f32 (PI.f32) (+.f32 2 (+.f32 uy uy)))
(/.f32 (*.f32 (PI.f32) (+.f32 uy (+.f32 uy 2))) 1)
(+.f32 (.f32 (PI.f32) (.f32 uy 2)) (*.f32 2 (PI.f32)))
(.f32 (PI.f32) (+.f32 2 (.f32 2 uy)))
(*.f32 (PI.f32) (+.f32 2 (+.f32 uy uy)))
(/.f32 (.f32 (+.f32 uy (+.f32 uy 2)) (.f32 (PI.f32) 2)) 2)
(+.f32 (.f32 (PI.f32) (.f32 uy 2)) (*.f32 2 (PI.f32)))
(.f32 (PI.f32) (+.f32 2 (.f32 2 uy)))
(*.f32 (PI.f32) (+.f32 2 (+.f32 uy uy)))
(/.f32 (.f32 (+.f32 uy (+.f32 uy 2)) (.f32 (PI.f32) 4)) 4)
(+.f32 (.f32 (PI.f32) (.f32 uy 2)) (*.f32 2 (PI.f32)))
(.f32 (PI.f32) (+.f32 2 (.f32 2 uy)))
(*.f32 (PI.f32) (+.f32 2 (+.f32 uy uy)))
(/.f32 (.f32 (.f32 (PI.f32) 8) (+.f32 uy (+.f32 uy 2))) 8)
(+.f32 (.f32 (PI.f32) (.f32 uy 2)) (*.f32 2 (PI.f32)))
(.f32 (PI.f32) (+.f32 2 (.f32 2 uy)))
(*.f32 (PI.f32) (+.f32 2 (+.f32 uy uy)))
(/.f32 (.f32 2 (.f32 (*.f32 (PI.f32) 8) (+.f32 uy (+.f32 uy 2)))) 16)
(+.f32 (.f32 (PI.f32) (.f32 uy 2)) (*.f32 2 (PI.f32)))
(.f32 (PI.f32) (+.f32 2 (.f32 2 uy)))
(*.f32 (PI.f32) (+.f32 2 (+.f32 uy uy)))
(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 (PI.f32) 8) (+.f32 uy (+.f32 uy 2))))) 32)
(+.f32 (.f32 (PI.f32) (.f32 uy 2)) (*.f32 2 (PI.f32)))
(.f32 (PI.f32) (+.f32 2 (.f32 2 uy)))
(*.f32 (PI.f32) (+.f32 2 (+.f32 uy uy)))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (*.f32 (PI.f32) 8) (+.f32 uy (+.f32 uy 2)))))) 64)
(+.f32 (.f32 (PI.f32) (.f32 uy 2)) (*.f32 2 (PI.f32)))
(.f32 (PI.f32) (+.f32 2 (.f32 2 uy)))
(*.f32 (PI.f32) (+.f32 2 (+.f32 uy uy)))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (PI.f32) 8) (+.f32 uy (+.f32 uy 2))))))) 128)
(+.f32 (.f32 (PI.f32) (.f32 uy 2)) (*.f32 2 (PI.f32)))
(.f32 (PI.f32) (+.f32 2 (.f32 2 uy)))
(*.f32 (PI.f32) (+.f32 2 (+.f32 uy uy)))
(pow.f32 (*.f32 (PI.f32) (+.f32 uy (+.f32 uy 2))) 1)
(+.f32 (.f32 (PI.f32) (.f32 uy 2)) (*.f32 2 (PI.f32)))
(.f32 (PI.f32) (+.f32 2 (.f32 2 uy)))
(*.f32 (PI.f32) (+.f32 2 (+.f32 uy uy)))

localize234.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f32 uy (PI.f32))
✓	0.3b	(*.f32 -4/3 yi)
	0.4b	(*.f32 (PI.f32) yi)
	0.7b	(pow.f32 (*.f32 uy (PI.f32)) 3)

Compiler

Compiled 317 to 174 computations (45.1% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	yi	@	inf	(*.f32 -4/3 yi)
0.0ms	yi	@	0	(*.f32 -4/3 yi)
0.0ms	yi	@	-inf	(*.f32 -4/3 yi)

rewrite279.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

2432×	`rational.json-simplify-2`
2406×	`rational.json-simplify-35`
1514×	`rational.json-simplify-1`
1140×	`exponential.json-3`
1140×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	33	7
2	78	7
3	158	7
4	278	7
5	583	7
6	1338	7
7	2831	7
8	4400	7
9	4974	7
10	6058	7
11	6779	7
12	6787	7
13	6801	7
14	7918	7
15	7968	7

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

Inputs
(*.f32 -4/3 yi)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 -4/3 yi) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 -4/3 yi))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 yi -2/3) (*.f32 yi -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 -4/3 yi) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 -4/3 yi) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 yi -8/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 yi -16/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 yi -32/3) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 yi -32/3)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 yi -32/3))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 yi -32/3)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 yi -32/3))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 yi -32/3)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 yi -32/3))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 yi -32/3))))))) (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 yi -32/3)))))))) 1024)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 -4/3 yi) 1)))))

simplify454.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

3492×	`rational.json-simplify-51`
2910×	`rational.json-simplify-2`
2004×	`rational.json-simplify-35`
1168×	`rational.json-simplify-1`
686×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	112
1	122	112
2	214	112
3	537	112
4	1350	112
5	2641	112
6	3515	112
7	3685	112
8	3780	112
9	3853	112
10	3920	112
11	3986	112
12	4049	112
13	4112	112
14	4174	112
15	4236	112
16	4298	112
17	4360	112
18	4422	112
19	4484	112
20	7083	112
21	7228	112
22	7239	112
23	7244	112
24	7244	112

Stop Event

1×	node limit

Counts

16 → 17

Calls

Call 1

Inputs
(+.f32 (*.f32 -4/3 yi) 0)
(+.f32 0 (*.f32 -4/3 yi))
(+.f32 (.f32 yi -2/3) (.f32 yi -2/3))
(-.f32 (*.f32 -4/3 yi) 0)
(/.f32 (*.f32 -4/3 yi) 1)
(/.f32 (*.f32 yi -8/3) 2)
(/.f32 (*.f32 yi -16/3) 4)
(/.f32 (*.f32 yi -32/3) 8)
(/.f32 (.f32 2 (.f32 yi -32/3)) 16)
(/.f32 (.f32 2 (.f32 2 (*.f32 yi -32/3))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 yi -32/3)))) 64)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (*.f32 yi -32/3))))) 128)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 yi -32/3)))))) 256)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (*.f32 yi -32/3))))))) 512)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 yi -32/3))))))) (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 yi -32/3)))))))) 1024)
(pow.f32 (*.f32 -4/3 yi) 1)

Outputs
(+.f32 (*.f32 -4/3 yi) 0)
(*.f32 -4/3 yi)
(+.f32 0 (*.f32 -4/3 yi))
(*.f32 -4/3 yi)
(+.f32 (.f32 yi -2/3) (.f32 yi -2/3))
(*.f32 -4/3 yi)
(-.f32 (*.f32 -4/3 yi) 0)
(*.f32 -4/3 yi)
(/.f32 (*.f32 -4/3 yi) 1)
(*.f32 -4/3 yi)
(/.f32 (*.f32 yi -8/3) 2)
(*.f32 -4/3 yi)
(/.f32 (*.f32 yi -16/3) 4)
(*.f32 -4/3 yi)
(/.f32 (*.f32 yi -32/3) 8)
(*.f32 -4/3 yi)
(/.f32 (.f32 2 (.f32 yi -32/3)) 16)
(*.f32 -4/3 yi)
(/.f32 (.f32 2 (.f32 2 (*.f32 yi -32/3))) 32)
(*.f32 -4/3 yi)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 yi -32/3)))) 64)
(*.f32 -4/3 yi)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (*.f32 yi -32/3))))) 128)
(*.f32 -4/3 yi)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 yi -32/3)))))) 256)
(*.f32 -4/3 yi)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (*.f32 yi -32/3))))))) 512)
(*.f32 -4/3 yi)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 yi -32/3))))))) (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 yi -32/3)))))))) 1024)
(*.f32 -4/3 yi)
(pow.f32 (*.f32 -4/3 yi) 1)
(*.f32 -4/3 yi)

eval857.0ms (3%)

Compiler: Compiled 33755 to 19618 computations (41.9% saved)

prune1.3s (4.6%)

Pruning

30 alts after pruning (28 fresh and 2 done)

	Pruned	Kept	Total
New	639	14	653
Fresh	7	14	21
Picked	0	1	1
Done	4	1	5
Total	650	30	680

Error

0.2b

Counts

680 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	1.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) xi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (+.f32 (.f32 2 (.f32 (PI.f32) (.f32 uy yi))) (.f32 yi (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3))))) (.f32 (-.f32 1 ux) (.f32 (.f32 ux maxCos) zi))))
	5.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) xi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (-.f32 (-.f32 1 (sin.f32 (.f32 (PI.f32) (neg.f32 (+.f32 uy uy))))) 1) yi)) (.f32 (-.f32 1 ux) (.f32 (.f32 ux maxCos) zi))))
▶	2.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) xi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 yi (.f32 2 (.f32 uy (PI.f32))))) (.f32 (-.f32 1 ux) (.f32 (*.f32 ux maxCos) zi))))
	2.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (+.f32 (+.f32 (.f32 (PI.f32) (+.f32 uy uy)) 3) -3)) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	2.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 (+.f32 uy uy) (PI.f32))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	6.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 -2 (+.f32 uy (-.f32 uy -2))))) xi) (.f32 (sin.f32 (.f32 (PI.f32) (-.f32 (.f32 2 (+.f32 uy -1)) -2))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	3.7b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 -2 2))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	1.0b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 yi (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (.f32 2 (.f32 uy (PI.f32))))) (.f32 yi (.f32 4/15 (pow.f32 (.f32 uy (PI.f32)) 5)))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	0.7b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3)) (+.f32 (+.f32 (.f32 yi (.f32 (PI.f32) (.f32 2 uy))) (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 7) -8/315))) (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 5) 4/15)))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	1.0b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 yi (.f32 (PI.f32) (.f32 2 uy))) (+.f32 (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 5) 4/15)) (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3)))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
✓	1.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 yi (.f32 (PI.f32) (.f32 2 uy))) (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
✓	1.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) (.f32 -4/3 yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	5.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (+.f32 (+.f32 (PI.f32) (.f32 (PI.f32) (+.f32 uy -1))) (.f32 uy (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	5.2b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (+.f32 1 (+.f32 (.f32 2 (.f32 (PI.f32) uy)) -1))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	1.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 yi (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (.f32 2 (.f32 uy (PI.f32))))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
▶	5.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	2.8b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 maxCos (pow.f32 ux 2)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	2.8b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (-.f32 (-.f32 (.f32 (PI.f32) (+.f32 uy uy)) -1) 1)) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	2.8b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (-.f32 (.f32 2 (.f32 (PI.f32) (+.f32 uy -1))) (.f32 (PI.f32) -2))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
▶	0.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (+.f32 (+.f32 (.f32 2 (.f32 (PI.f32) uy)) 2) -2)) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	2.8b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (+.f32 (.f32 (PI.f32) -2) (.f32 (PI.f32) (-.f32 (+.f32 uy uy) -2)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	2.8b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 2 (+.f32 uy -1)) -2))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
▶	2.8b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 -2 (+.f32 uy (-.f32 uy -2))))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	6.1b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (-.f32 (PI.f32) (.f32 2 (.f32 (PI.f32) (-.f32 1/2 uy))))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
▶	0.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	2.8b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	2.8b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 yi (.f32 (PI.f32) uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	2.8b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (+.f32 (.f32 maxCos zi) (.f32 maxCos (.f32 (*.f32 zi ux) -1)))))
	4.7b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 maxCos (*.f32 zi (neg.f32 ux)))))
	3.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 maxCos zi)))

Compiler

Compiled 3172 to 2204 computations (30.5% saved)

localize139.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f32 (-.f32 1 ux) (.f32 maxCos zi))
✓	0.2b	(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
	0.2b	(.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) yi)
	0.3b	(.f32 uy (.f32 2 (PI.f32)))

Compiler

Compiled 185 to 95 computations (48.6% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	uy	@	0	(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
0.0ms	uy	@	inf	(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
0.0ms	uy	@	-inf	(sin.f32 (.f32 uy (.f32 2 (PI.f32))))

rewrite92.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1926×	`rational.json-1`
1926×	`rational.json-2`
910×	`rational.json-simplify-45`
896×	`exponential.json-3`
896×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	68	19
2	151	19
3	305	19
4	601	19
5	1462	19
6	3554	19
7	7105	19

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

Inputs
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))) 1/2) (*.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 2 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (neg.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (neg.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (neg.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))))) (*.f32 2 (neg.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32))))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))) 8))) (*.f32 2 (*.f32 2 (*.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32))))))))))

simplify230.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1638×	`rational.json-simplify-26`
1512×	`rational.json-simplify-35`
1182×	`rational.json-simplify-2`
976×	`rational.json-simplify-42`
888×	`rational.json-simplify-45`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	976
1	185	976
2	452	976
3	1472	976
4	2464	976
5	3404	976
6	5372	976
7	6466	976
8	6969	976
9	7409	976
10	7854	976

Stop Event

1×	node limit

Counts

44 → 47

Calls

Call 1

Inputs
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (.f32 2 (.f32 uy (PI.f32))) (.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3))))
(+.f32 (.f32 2 (.f32 uy (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3))) (.f32 4/15 (.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (.f32 2 (.f32 uy (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 4/15 (.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5))) (.f32 -8/315 (.f32 (pow.f32 uy 7) (pow.f32 (PI.f32) 7))))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(+.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 0)
(+.f32 0 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))))
(+.f32 -1 (-.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) -1))
(+.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 1/2) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 1/2))
(+.f32 (-.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) -1) -1)
(-.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 0)
(-.f32 0 (neg.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32))))))
(-.f32 (-.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) -1) 1)
(.f32 2 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 1/2))
(.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) 1)
(.f32 1 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))))
(.f32 (.f32 2 (sin.f32 (.f32 uy (.f32 2 (PI.f32))))) 1/2)
(.f32 4 (/.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) 4))
(.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 4) 1/4)
(.f32 1/2 (.f32 2 (sin.f32 (.f32 uy (.f32 2 (PI.f32))))))
(.f32 -1 (neg.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32))))))
(.f32 1/4 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 4))
(.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 1/2) 2)
(.f32 (neg.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32))))) -1)
(.f32 (/.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) 4) 4)
(/.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 1)
(/.f32 (.f32 2 (sin.f32 (.f32 uy (*.f32 2 (PI.f32))))) 2)
(/.f32 (.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) 4) 4)
(/.f32 (.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) 8) 8)
(/.f32 (neg.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32))))) -1)
(/.f32 (.f32 2 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 8)) 16)
(/.f32 (.f32 2 (neg.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))))) -2)
(/.f32 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) 8))) 32)
(/.f32 (+.f32 (.f32 2 (neg.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))))) (.f32 2 (neg.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32))))))) -4)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 8))) (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 8)))) 64)
(pow.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 1)
(neg.f32 (neg.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32))))))

Outputs
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 2 (PI.f32)))
(+.f32 (.f32 2 (.f32 uy (PI.f32))) (.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3))))
(+.f32 (.f32 2 (.f32 uy (PI.f32))) (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)))
(+.f32 (.f32 uy (.f32 2 (PI.f32))) (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)))
(+.f32 (.f32 2 (.f32 uy (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3))) (.f32 4/15 (.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (.f32 2 (.f32 uy (PI.f32))) (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (.f32 4/15 (pow.f32 (.f32 uy (PI.f32)) 5))))
(+.f32 (.f32 uy (.f32 2 (PI.f32))) (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (.f32 4/15 (pow.f32 (.f32 uy (PI.f32)) 5))))
(+.f32 (.f32 2 (.f32 uy (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 4/15 (.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5))) (.f32 -8/315 (.f32 (pow.f32 uy 7) (pow.f32 (PI.f32) 7))))))
(+.f32 (.f32 2 (.f32 uy (PI.f32))) (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (+.f32 (.f32 4/15 (pow.f32 (.f32 uy (PI.f32)) 5)) (.f32 -8/315 (pow.f32 (.f32 uy (PI.f32)) 7)))))
(+.f32 (.f32 uy (.f32 2 (PI.f32))) (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (+.f32 (.f32 4/15 (pow.f32 (.f32 uy (PI.f32)) 5)) (.f32 -8/315 (pow.f32 (.f32 uy (PI.f32)) 7)))))
(+.f32 (.f32 4/15 (pow.f32 (.f32 uy (PI.f32)) 5)) (+.f32 (+.f32 (.f32 uy (.f32 2 (PI.f32))) (.f32 -8/315 (pow.f32 (.f32 uy (PI.f32)) 7))) (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3))))
(+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (+.f32 (.f32 2 (.f32 uy (PI.f32))) (+.f32 (.f32 4/15 (pow.f32 (.f32 uy (PI.f32)) 5)) (.f32 -8/315 (pow.f32 (.f32 uy (PI.f32)) 7)))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(+.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 0)
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(+.f32 0 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(+.f32 -1 (-.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) -1))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(+.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 1/2) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 1/2))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(+.f32 (-.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) -1) -1)
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(-.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 0)
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(-.f32 0 (neg.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32))))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(-.f32 (-.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) -1) 1)
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(.f32 2 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 1/2))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) 1)
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(.f32 1 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(.f32 (.f32 2 (sin.f32 (.f32 uy (.f32 2 (PI.f32))))) 1/2)
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(.f32 4 (/.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) 4))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 4) 1/4)
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(.f32 1/2 (.f32 2 (sin.f32 (.f32 uy (.f32 2 (PI.f32))))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(.f32 -1 (neg.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32))))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(.f32 1/4 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 4))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 1/2) 2)
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(.f32 (neg.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32))))) -1)
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) 4) 4)
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(/.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 1)
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(/.f32 (.f32 2 (sin.f32 (.f32 uy (*.f32 2 (PI.f32))))) 2)
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) 4) 4)
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) 8) 8)
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(/.f32 (neg.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32))))) -1)
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(/.f32 (.f32 2 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 8)) 16)
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(/.f32 (.f32 2 (neg.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))))) -2)
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(/.f32 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) 8))) 32)
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(/.f32 (+.f32 (.f32 2 (neg.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))))) (.f32 2 (neg.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32))))))) -4)
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 8))) (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 8)))) 64)
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(pow.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) 1)
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
(neg.f32 (neg.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32))))))
(sin.f32 (.f32 2 (.f32 uy (PI.f32))))
(sin.f32 (.f32 uy (.f32 2 (PI.f32))))

localize285.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f32 ux (.f32 (-.f32 1 ux) (*.f32 (-.f32 1 ux) maxCos)))
	0.2b	(.f32 uy (.f32 (PI.f32) yi))
	0.3b	(.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos))
	0.4b	(*.f32 (PI.f32) yi)

Compiler

Compiled 221 to 122 computations (44.8% saved)

localize203.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f32 (PI.f32) (+.f32 -2 (+.f32 uy (-.f32 uy -2))))
	0.4b	(+.f32 uy (-.f32 uy -2))
	0.4b	(*.f32 (PI.f32) yi)
	16.1b	(+.f32 -2 (+.f32 uy (-.f32 uy -2)))

Compiler

Compiled 220 to 108 computations (50.9% saved)

localize937.0ms (3.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) yi)
	0.3b	(*.f32 (PI.f32) uy)
	0.3b	(.f32 uy (.f32 2 (PI.f32)))
	14.7b	(+.f32 (+.f32 (.f32 2 (.f32 (PI.f32) uy)) 2) -2)

Compiler

Compiled 230 to 124 computations (46.1% saved)

localize948.0ms (3.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f32 ux (.f32 (-.f32 1 ux) maxCos))
✓	0.3b	(.f32 yi (.f32 2 (*.f32 uy (PI.f32))))
	0.3b	(*.f32 uy (PI.f32))
	0.3b	(.f32 (.f32 uy 2) (PI.f32))

Compiler

Compiled 287 to 168 computations (41.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	uy	@	0	(.f32 yi (.f32 2 (*.f32 uy (PI.f32))))
1.0ms	yi	@	0	(.f32 yi (.f32 2 (*.f32 uy (PI.f32))))
0.0ms	uy	@	inf	(.f32 yi (.f32 2 (*.f32 uy (PI.f32))))
0.0ms	uy	@	-inf	(.f32 yi (.f32 2 (*.f32 uy (PI.f32))))
0.0ms	yi	@	-inf	(.f32 yi (.f32 2 (*.f32 uy (PI.f32))))

rewrite134.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1832×	`rational.json-simplify-35`
1548×	`exponential.json-3`
1548×	`rational.json-1`
1548×	`rational.json-2`
1548×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	69	21
2	158	21
3	324	21
4	610	21
5	1479	21
6	3236	21
7	4733	21
8	5659	21
9	7195	21

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

Inputs
(.f32 yi (.f32 2 (*.f32 uy (PI.f32))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 yi (*.f32 uy (*.f32 2 (PI.f32)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 yi (*.f32 uy (*.f32 2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) (*.f32 yi uy)) (*.f32 (PI.f32) (*.f32 yi uy)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 (PI.f32) 1/2) (*.f32 yi uy)) (*.f32 (*.f32 uy (PI.f32)) (*.f32 yi 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 uy (PI.f32)) (*.f32 yi 3/2)) (*.f32 (*.f32 (PI.f32) 1/2) (*.f32 yi uy)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 yi (*.f32 uy (*.f32 2 (PI.f32)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 yi (*.f32 uy (*.f32 2 (PI.f32)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 uy (*.f32 (PI.f32) (*.f32 yi 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 yi (*.f32 (PI.f32) (*.f32 uy 8))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (PI.f32) (*.f32 uy 4)) (*.f32 yi 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (*.f32 (PI.f32) (*.f32 uy 4)) (*.f32 yi 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (PI.f32) (*.f32 uy 4)) (*.f32 yi 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (PI.f32) (*.f32 uy 4)) (*.f32 yi 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (PI.f32) (*.f32 uy 4)) (*.f32 yi 4)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (PI.f32) (*.f32 uy 4)) (*.f32 yi 4)))))) (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (PI.f32) (*.f32 uy 4)) (*.f32 yi 4))))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 yi (*.f32 uy (*.f32 2 (PI.f32)))) 1)))))

simplify485.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

3598×	`rational.json-simplify-35`
2412×	`rational.json-simplify-2`
1088×	`exponential.json-simplify-26`
1058×	`rational.json-simplify-53`
994×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	840
1	166	840
2	369	840
3	940	840
4	2310	840
5	4399	840
6	5068	840
7	5442	840
8	5660	840
9	5870	840
10	6640	840
11	7083	840
12	7088	840
13	7088	840
14	7295	840
15	7502	840
16	7709	840
17	7916	840

Stop Event

1×	node limit

Counts

40 → 21

Calls

Call 1

Inputs
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 uy (*.f32 yi (PI.f32))))
(.f32 2 (.f32 uy (*.f32 yi (PI.f32))))
(.f32 2 (.f32 uy (*.f32 yi (PI.f32))))
(.f32 2 (.f32 uy (*.f32 yi (PI.f32))))
(.f32 2 (.f32 uy (*.f32 yi (PI.f32))))
(.f32 2 (.f32 uy (*.f32 yi (PI.f32))))
(.f32 2 (.f32 uy (*.f32 yi (PI.f32))))
(.f32 2 (.f32 uy (*.f32 yi (PI.f32))))
(.f32 2 (.f32 uy (*.f32 yi (PI.f32))))
(.f32 2 (.f32 uy (*.f32 yi (PI.f32))))
(.f32 2 (.f32 uy (*.f32 yi (PI.f32))))
(.f32 2 (.f32 uy (*.f32 yi (PI.f32))))
(+.f32 (.f32 yi (.f32 uy (*.f32 2 (PI.f32)))) 0)
(+.f32 0 (.f32 yi (.f32 uy (*.f32 2 (PI.f32)))))
(+.f32 (.f32 (PI.f32) (.f32 yi uy)) (.f32 (PI.f32) (.f32 yi uy)))
(+.f32 (.f32 (.f32 (PI.f32) 1/2) (.f32 yi uy)) (.f32 (.f32 uy (PI.f32)) (.f32 yi 3/2)))
(+.f32 (.f32 (.f32 uy (PI.f32)) (.f32 yi 3/2)) (.f32 (.f32 (PI.f32) 1/2) (.f32 yi uy)))
(-.f32 (.f32 yi (.f32 uy (*.f32 2 (PI.f32)))) 0)
(/.f32 (.f32 yi (.f32 uy (*.f32 2 (PI.f32)))) 1)
(/.f32 (.f32 uy (.f32 (PI.f32) (*.f32 yi 4))) 2)
(/.f32 (.f32 yi (.f32 (PI.f32) (*.f32 uy 8))) 4)
(/.f32 (.f32 (.f32 (PI.f32) (.f32 uy 4)) (.f32 yi 4)) 8)
(/.f32 (.f32 2 (.f32 (.f32 (PI.f32) (.f32 uy 4)) (*.f32 yi 4))) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 (PI.f32) (.f32 uy 4)) (.f32 yi 4)))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (PI.f32) (.f32 uy 4)) (*.f32 yi 4))))) 64)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (PI.f32) (.f32 uy 4)) (.f32 yi 4)))))) 128)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (PI.f32) (.f32 uy 4)) (.f32 yi 4)))))) (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (PI.f32) (.f32 uy 4)) (.f32 yi 4))))))) 256)
(pow.f32 (.f32 yi (.f32 uy (*.f32 2 (PI.f32)))) 1)

Outputs
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(.f32 yi (.f32 2 (*.f32 uy (PI.f32))))
(.f32 (PI.f32) (.f32 2 (*.f32 yi uy)))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(.f32 yi (.f32 2 (*.f32 uy (PI.f32))))
(.f32 (PI.f32) (.f32 2 (*.f32 yi uy)))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(.f32 yi (.f32 2 (*.f32 uy (PI.f32))))
(.f32 (PI.f32) (.f32 2 (*.f32 yi uy)))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(.f32 yi (.f32 2 (*.f32 uy (PI.f32))))
(.f32 (PI.f32) (.f32 2 (*.f32 yi uy)))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(.f32 yi (.f32 2 (*.f32 uy (PI.f32))))
(.f32 (PI.f32) (.f32 2 (*.f32 yi uy)))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(.f32 yi (.f32 2 (*.f32 uy (PI.f32))))
(.f32 (PI.f32) (.f32 2 (*.f32 yi uy)))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(.f32 yi (.f32 2 (*.f32 uy (PI.f32))))
(.f32 (PI.f32) (.f32 2 (*.f32 yi uy)))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(.f32 yi (.f32 2 (*.f32 uy (PI.f32))))
(.f32 (PI.f32) (.f32 2 (*.f32 yi uy)))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(.f32 yi (.f32 2 (*.f32 uy (PI.f32))))
(.f32 (PI.f32) (.f32 2 (*.f32 yi uy)))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(.f32 yi (.f32 2 (*.f32 uy (PI.f32))))
(.f32 (PI.f32) (.f32 2 (*.f32 yi uy)))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(.f32 yi (.f32 2 (*.f32 uy (PI.f32))))
(.f32 (PI.f32) (.f32 2 (*.f32 yi uy)))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(.f32 yi (.f32 2 (*.f32 uy (PI.f32))))
(.f32 (PI.f32) (.f32 2 (*.f32 yi uy)))
(.f32 2 (.f32 uy (*.f32 yi (PI.f32))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(.f32 yi (.f32 2 (*.f32 uy (PI.f32))))
(.f32 (PI.f32) (.f32 2 (*.f32 yi uy)))
(.f32 2 (.f32 uy (*.f32 yi (PI.f32))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
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eval809.0ms (2.8%)

Compiler: Compiled 40492 to 23226 computations (42.6% saved)

prune736.0ms (2.6%)

Pruning

36 alts after pruning (33 fresh and 3 done)

	Pruned	Kept	Total
New	772	19	791
Fresh	9	14	23
Picked	1	0	1
Done	3	3	6
Total	785	36	821

Error

0.1b

Counts

821 → 36

Alt Table

Click to see full alt table

Status	Error	Program
	2.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) xi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (+.f32 (.f32 (.f32 (PI.f32) 1/2) (.f32 yi uy)) (.f32 (.f32 uy (PI.f32)) (.f32 yi 3/2)))) (.f32 (-.f32 1 ux) (.f32 (.f32 ux maxCos) zi))))
	1.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) xi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (+.f32 (.f32 2 (.f32 (PI.f32) (.f32 uy yi))) (.f32 yi (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3))))) (.f32 (-.f32 1 ux) (.f32 (.f32 ux maxCos) zi))))
	5.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) xi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (-.f32 (-.f32 1 (sin.f32 (.f32 (PI.f32) (neg.f32 (+.f32 uy uy))))) 1) yi)) (.f32 (-.f32 1 ux) (.f32 (.f32 ux maxCos) zi))))
	2.7b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) xi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 maxCos ux)))) (.f32 yi (.f32 2 (.f32 uy (PI.f32))))) (.f32 (-.f32 1 ux) (.f32 (.f32 ux maxCos) zi))))
	5.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (+.f32 maxCos (.f32 maxCos (.f32 ux -2))))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	2.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (+.f32 (+.f32 (.f32 (PI.f32) (+.f32 uy uy)) 3) -3)) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	2.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 (+.f32 uy uy) (PI.f32))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	6.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 -2 (+.f32 uy (-.f32 uy -2))))) xi) (.f32 (sin.f32 (.f32 (PI.f32) (-.f32 (.f32 2 (+.f32 uy -1)) -2))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	3.7b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 -2 2))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	5.2b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (+.f32 1 (+.f32 (.f32 2 (.f32 (PI.f32) uy)) -1))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	5.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	5.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 yi (.f32 (PI.f32) uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	2.8b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 maxCos (pow.f32 ux 2)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
✓	0.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (+.f32 (+.f32 (.f32 2 (.f32 (PI.f32) uy)) 2) -2)) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	2.8b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (+.f32 (+.f32 (.f32 2 (.f32 (PI.f32) uy)) 2) -2)) xi) (.f32 yi (.f32 (PI.f32) (.f32 2 uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	2.8b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (+.f32 (.f32 (PI.f32) -2) (.f32 (PI.f32) (-.f32 (+.f32 uy uy) -2)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	2.8b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 2 (+.f32 uy -1)) -2))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
✓	2.8b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 -2 (+.f32 uy (-.f32 uy -2))))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	2.8b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 -2 (.f32 1/2 (+.f32 uy (+.f32 4 (.f32 3 uy))))))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	1.1b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 yi (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (.f32 2 (.f32 uy (PI.f32))))) (.f32 yi (.f32 4/15 (pow.f32 (.f32 uy (PI.f32)) 5)))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	0.9b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3)) (+.f32 (+.f32 (.f32 yi (.f32 (PI.f32) (.f32 2 uy))) (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 7) -8/315))) (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 5) 4/15)))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	1.1b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 yi (.f32 (PI.f32) (.f32 2 uy))) (+.f32 (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 5) 4/15)) (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3)))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	1.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 yi (.f32 (PI.f32) (.f32 2 uy))) (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	1.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) (.f32 -4/3 yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	5.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (-.f32 (-.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) -1) 1) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	1.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (+.f32 (.f32 uy (.f32 2 (PI.f32))) (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	2.8b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (.f32 uy (.f32 2 (PI.f32))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	6.1b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (-.f32 (PI.f32) (.f32 2 (.f32 (PI.f32) (-.f32 1/2 uy))))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	5.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (+.f32 (+.f32 (PI.f32) (.f32 (PI.f32) (+.f32 uy -1))) (.f32 uy (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	0.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (+.f32 (.f32 maxCos zi) (.f32 maxCos (.f32 (*.f32 zi ux) -1)))))
✓	0.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	1.1b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 maxCos zi)))
	2.8b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (+.f32 (.f32 maxCos zi) (.f32 maxCos (.f32 (*.f32 zi ux) -1)))))
	4.7b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 maxCos (*.f32 zi (neg.f32 ux)))))
	3.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 maxCos zi)))
	5.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))

Compiler

Compiled 1891 to 1308 computations (30.8% saved)

regimes519.0ms (1.8%)

Counts

74 → 1

Calls

Call 1

Inputs
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (+.f32 maxCos (.f32 maxCos (.f32 ux -2))))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 yi (.f32 (PI.f32) uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 maxCos zi)))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 maxCos (*.f32 zi (neg.f32 ux)))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 yi (.f32 (PI.f32) uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (.f32 uy (.f32 2 (PI.f32))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (+.f32 (.f32 maxCos zi) (.f32 maxCos (.f32 (*.f32 zi ux) -1)))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 -2 (+.f32 uy (-.f32 uy -2))))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 2 (+.f32 uy -1)) -2))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (+.f32 (+.f32 (.f32 2 (.f32 (PI.f32) uy)) 2) -2)) xi) (.f32 yi (.f32 (PI.f32) (.f32 2 uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (-.f32 (-.f32 (.f32 (PI.f32) (+.f32 uy uy)) -1) 1)) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (+.f32 maxCos (.f32 maxCos (.f32 ux -2))))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 -2 (.f32 1/2 (+.f32 uy (+.f32 4 (.f32 3 uy))))))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 (PI.f32) (.f32 uy yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 yi (.f32 (PI.f32) (.f32 2 uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 (+.f32 uy uy) (PI.f32))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 -2 (+.f32 uy (-.f32 uy -2))))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 2 (+.f32 uy -1)) -2))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (+.f32 (+.f32 (.f32 (PI.f32) (+.f32 uy uy)) 3) -3)) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (-.f32 (-.f32 (.f32 (PI.f32) (+.f32 uy uy)) -1) 1)) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 maxCos zi)))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 maxCos (pow.f32 ux 2)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (+.f32 (.f32 maxCos zi) (.f32 maxCos (.f32 (*.f32 zi ux) -1)))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (-.f32 (-.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) -1) 1) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (+.f32 (+.f32 (.f32 2 (.f32 (PI.f32) uy)) 2) -2)) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (+.f32 (.f32 (PI.f32) -2) (.f32 (PI.f32) (-.f32 (+.f32 uy uy) -2)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (-.f32 (.f32 2 (.f32 (PI.f32) (+.f32 uy -1))) (.f32 (PI.f32) -2))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 -2 2))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (-.f32 (PI.f32) (.f32 2 (.f32 (PI.f32) (-.f32 1/2 uy))))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 (PI.f32) (-.f32 (.f32 2 (+.f32 uy -1)) -2))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (+.f32 1 (+.f32 (.f32 2 (.f32 (PI.f32) uy)) -1))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 -2 (+.f32 uy (-.f32 uy -2))))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 2 (+.f32 uy -1)) -2))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (+.f32 (+.f32 (.f32 2 (.f32 (PI.f32) uy)) 2) -2)) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (-.f32 (-.f32 (.f32 (PI.f32) (+.f32 uy uy)) -1) 1)) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (+.f32 (.f32 (PI.f32) -2) (.f32 (PI.f32) (-.f32 (+.f32 uy uy) -2)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (-.f32 (.f32 2 (.f32 (PI.f32) (+.f32 uy -1))) (.f32 (PI.f32) -2))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 -2 (+.f32 uy (-.f32 uy -2))))) xi) (.f32 (sin.f32 (.f32 (PI.f32) (-.f32 (.f32 2 (+.f32 uy -1)) -2))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) xi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 maxCos ux)))) (.f32 yi (.f32 2 (.f32 uy (PI.f32))))) (.f32 (-.f32 1 ux) (.f32 (.f32 ux maxCos) zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) xi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 yi (.f32 2 (.f32 uy (PI.f32))))) (.f32 (-.f32 1 ux) (.f32 (*.f32 ux maxCos) zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 maxCos (pow.f32 ux 3))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (-.f32 (PI.f32) (.f32 2 (.f32 (PI.f32) (-.f32 1/2 uy))))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (+.f32 (.f32 uy (.f32 2 (PI.f32))) (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) (.f32 -4/3 yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 yi (.f32 (PI.f32) (.f32 2 uy))) (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (-.f32 (PI.f32) (.f32 2 (.f32 (PI.f32) (-.f32 1/2 uy))))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (-.f32 (PI.f32) (.f32 2 (.f32 (PI.f32) (-.f32 1/2 uy))))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (+.f32 (.f32 (PI.f32) -2) (.f32 (PI.f32) (-.f32 (+.f32 uy uy) -2)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (-.f32 (.f32 2 (.f32 (PI.f32) (+.f32 uy -1))) (.f32 (PI.f32) -2))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 yi (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (.f32 2 (.f32 uy (PI.f32))))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) (.f32 -4/3 yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 yi (.f32 (PI.f32) (.f32 2 uy))) (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) xi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) yi)) (.f32 (-.f32 1 ux) (.f32 (*.f32 ux maxCos) zi))))
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) (.f32 (.f32 (-.f32 1 ux) maxCos) ux))))) xi) (.f32 (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) (.f32 (.f32 (-.f32 1 ux) maxCos) ux))))) yi)) (.f32 (.f32 (*.f32 (-.f32 1 ux) maxCos) ux) zi))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) xi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (-.f32 (-.f32 1 (sin.f32 (.f32 (PI.f32) (neg.f32 (+.f32 uy uy))))) 1) yi)) (.f32 (-.f32 1 ux) (.f32 (.f32 ux maxCos) zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) xi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (+.f32 (.f32 (.f32 (PI.f32) 1/2) (.f32 yi uy)) (.f32 (.f32 uy (PI.f32)) (.f32 yi 3/2)))) (.f32 (-.f32 1 ux) (.f32 (.f32 ux maxCos) zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (+.f32 (+.f32 (PI.f32) (.f32 (PI.f32) (+.f32 uy -1))) (.f32 uy (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (+.f32 (+.f32 (PI.f32) (.f32 (PI.f32) (+.f32 uy -1))) (.f32 uy (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) xi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (+.f32 (.f32 2 (.f32 (PI.f32) (.f32 uy yi))) (.f32 yi (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3))))) (.f32 (-.f32 1 ux) (.f32 (.f32 ux maxCos) zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 yi (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (.f32 2 (.f32 uy (PI.f32))))) (.f32 yi (.f32 4/15 (pow.f32 (.f32 uy (PI.f32)) 5)))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 yi (.f32 (PI.f32) (.f32 2 uy))) (+.f32 (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 5) 4/15)) (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3)))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 yi (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (.f32 2 (.f32 uy (PI.f32))))) (.f32 yi (.f32 4/15 (pow.f32 (.f32 uy (PI.f32)) 5)))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 yi (.f32 (PI.f32) (.f32 2 uy))) (+.f32 (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 5) 4/15)) (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3)))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3)) (+.f32 (+.f32 (.f32 yi (.f32 (PI.f32) (.f32 2 uy))) (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 7) -8/315))) (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 5) 4/15)))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3)) (+.f32 (+.f32 (.f32 yi (.f32 (PI.f32) (.f32 2 uy))) (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 7) -8/315))) (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 5) 4/15)))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))

Outputs

(+.f32 (*.f32 (sqrt.f32 (-.f32 1 (*.f32 (*.f32 ux maxCos) (*.f32 ux (*.f32 (-.f32 1 ux) (*.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (*.f32 (cos.f32 (-.f32 (PI.f32) (*.f32 2 (*.f32 (PI.f32) (-.f32 1/2 uy))))) xi) (*.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))) yi))) (*.f32 ux (*.f32 (-.f32 1 ux) (*.f32 maxCos zi))))

Calls

10 calls:

102.0ms	(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) (.f32 (.f32 (-.f32 1 ux) maxCos) ux))))) xi) (.f32 (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) (.f32 (.f32 (-.f32 1 ux) maxCos) ux))))) yi)) (.f32 (.f32 (*.f32 (-.f32 1 ux) maxCos) ux) zi))
76.0ms	maxCos
33.0ms	xi
32.0ms	zi
32.0ms	uy

Results

Error	Segments	Branch
0.3b	1	`xi`
0.3b	1	`yi`
0.3b	1	`zi`
0.3b	1	`ux`
0.3b	1	`uy`
0.3b	1	`maxCos`
0.3b	1	`(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) (.f32 (.f32 (-.f32 1 ux) maxCos) ux))))) xi) (.f32 (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) (.f32 (.f32 (-.f32 1 ux) maxCos) ux))))) yi)) (.f32 (.f32 (*.f32 (-.f32 1 ux) maxCos) ux) zi))`
0.3b	1	`(.f32 (.f32 uy 2) (PI.f32))`
0.3b	1	`(*.f32 uy 2)`
0.3b	1	`(.f32 (.f32 (-.f32 1 ux) maxCos) ux)`

Compiler

Compiled 3736 to 2155 computations (42.3% saved)

regimes209.0ms (0.7%)

Counts

55 → 1

Calls

Call 1

Inputs
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (+.f32 maxCos (.f32 maxCos (.f32 ux -2))))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 yi (.f32 (PI.f32) uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 maxCos zi)))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 maxCos (*.f32 zi (neg.f32 ux)))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 yi (.f32 (PI.f32) uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (.f32 uy (.f32 2 (PI.f32))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (+.f32 (.f32 maxCos zi) (.f32 maxCos (.f32 (*.f32 zi ux) -1)))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 -2 (+.f32 uy (-.f32 uy -2))))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 2 (+.f32 uy -1)) -2))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (+.f32 (+.f32 (.f32 2 (.f32 (PI.f32) uy)) 2) -2)) xi) (.f32 yi (.f32 (PI.f32) (.f32 2 uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (-.f32 (-.f32 (.f32 (PI.f32) (+.f32 uy uy)) -1) 1)) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (+.f32 maxCos (.f32 maxCos (.f32 ux -2))))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 -2 (.f32 1/2 (+.f32 uy (+.f32 4 (.f32 3 uy))))))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 (PI.f32) (.f32 uy yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 yi (.f32 (PI.f32) (.f32 2 uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 (+.f32 uy uy) (PI.f32))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 -2 (+.f32 uy (-.f32 uy -2))))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 2 (+.f32 uy -1)) -2))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (+.f32 (+.f32 (.f32 (PI.f32) (+.f32 uy uy)) 3) -3)) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (-.f32 (-.f32 (.f32 (PI.f32) (+.f32 uy uy)) -1) 1)) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 maxCos zi)))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 maxCos (pow.f32 ux 2)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (+.f32 (.f32 maxCos zi) (.f32 maxCos (.f32 (*.f32 zi ux) -1)))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (-.f32 (-.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) -1) 1) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (+.f32 (+.f32 (.f32 2 (.f32 (PI.f32) uy)) 2) -2)) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (+.f32 (.f32 (PI.f32) -2) (.f32 (PI.f32) (-.f32 (+.f32 uy uy) -2)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (-.f32 (.f32 2 (.f32 (PI.f32) (+.f32 uy -1))) (.f32 (PI.f32) -2))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 -2 2))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (-.f32 (PI.f32) (.f32 2 (.f32 (PI.f32) (-.f32 1/2 uy))))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 (PI.f32) (-.f32 (.f32 2 (+.f32 uy -1)) -2))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (+.f32 1 (+.f32 (.f32 2 (.f32 (PI.f32) uy)) -1))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 -2 (+.f32 uy (-.f32 uy -2))))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 2 (+.f32 uy -1)) -2))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (+.f32 (+.f32 (.f32 2 (.f32 (PI.f32) uy)) 2) -2)) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (-.f32 (-.f32 (.f32 (PI.f32) (+.f32 uy uy)) -1) 1)) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (+.f32 (.f32 (PI.f32) -2) (.f32 (PI.f32) (-.f32 (+.f32 uy uy) -2)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (-.f32 (.f32 2 (.f32 (PI.f32) (+.f32 uy -1))) (.f32 (PI.f32) -2))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 -2 (+.f32 uy (-.f32 uy -2))))) xi) (.f32 (sin.f32 (.f32 (PI.f32) (-.f32 (.f32 2 (+.f32 uy -1)) -2))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) xi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 maxCos ux)))) (.f32 yi (.f32 2 (.f32 uy (PI.f32))))) (.f32 (-.f32 1 ux) (.f32 (.f32 ux maxCos) zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) xi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 yi (.f32 2 (.f32 uy (PI.f32))))) (.f32 (-.f32 1 ux) (.f32 (*.f32 ux maxCos) zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 maxCos (pow.f32 ux 3))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (-.f32 (PI.f32) (.f32 2 (.f32 (PI.f32) (-.f32 1/2 uy))))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (+.f32 (.f32 uy (.f32 2 (PI.f32))) (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) (.f32 -4/3 yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 yi (.f32 (PI.f32) (.f32 2 uy))) (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (-.f32 (PI.f32) (.f32 2 (.f32 (PI.f32) (-.f32 1/2 uy))))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))

Outputs

(+.f32 (*.f32 (sqrt.f32 (-.f32 1 (*.f32 (*.f32 ux maxCos) (*.f32 ux (*.f32 (-.f32 1 ux) (*.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (*.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) xi) (*.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))) yi))) (*.f32 ux (*.f32 (-.f32 1 ux) (*.f32 maxCos zi))))

Calls

6 calls:

30.0ms	zi
26.0ms	maxCos
24.0ms	xi
23.0ms	uy
23.0ms	ux

Results

Error	Segments	Branch
0.3b	1	`xi`
0.3b	1	`yi`
0.3b	1	`zi`
0.3b	1	`ux`
0.3b	1	`uy`
0.3b	1	`maxCos`

Compiler

Compiled 2491 to 1402 computations (43.7% saved)

regimes125.0ms (0.4%)

Counts

35 → 1

Calls

Call 1

Inputs
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (+.f32 maxCos (.f32 maxCos (.f32 ux -2))))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 yi (.f32 (PI.f32) uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 maxCos zi)))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 maxCos (*.f32 zi (neg.f32 ux)))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 yi (.f32 (PI.f32) uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (.f32 uy (.f32 2 (PI.f32))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (+.f32 (.f32 maxCos zi) (.f32 maxCos (.f32 (*.f32 zi ux) -1)))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 -2 (+.f32 uy (-.f32 uy -2))))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 2 (+.f32 uy -1)) -2))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (+.f32 (+.f32 (.f32 2 (.f32 (PI.f32) uy)) 2) -2)) xi) (.f32 yi (.f32 (PI.f32) (.f32 2 uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (-.f32 (-.f32 (.f32 (PI.f32) (+.f32 uy uy)) -1) 1)) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (+.f32 maxCos (.f32 maxCos (.f32 ux -2))))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 -2 (.f32 1/2 (+.f32 uy (+.f32 4 (.f32 3 uy))))))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 (PI.f32) (.f32 uy yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 yi (.f32 (PI.f32) (.f32 2 uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 (+.f32 uy uy) (PI.f32))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 -2 (+.f32 uy (-.f32 uy -2))))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 2 (+.f32 uy -1)) -2))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (+.f32 (+.f32 (.f32 (PI.f32) (+.f32 uy uy)) 3) -3)) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (-.f32 (-.f32 (.f32 (PI.f32) (+.f32 uy uy)) -1) 1)) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 maxCos zi)))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 maxCos (pow.f32 ux 2)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (+.f32 (.f32 maxCos zi) (.f32 maxCos (.f32 (*.f32 zi ux) -1)))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (-.f32 (-.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) -1) 1) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (+.f32 (+.f32 (.f32 2 (.f32 (PI.f32) uy)) 2) -2)) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (+.f32 (.f32 (PI.f32) -2) (.f32 (PI.f32) (-.f32 (+.f32 uy uy) -2)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (-.f32 (.f32 2 (.f32 (PI.f32) (+.f32 uy -1))) (.f32 (PI.f32) -2))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))

Outputs

(+.f32 (*.f32 (sqrt.f32 (-.f32 1 (*.f32 (*.f32 ux maxCos) (*.f32 ux maxCos)))) (+.f32 (*.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) xi) (*.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))) yi))) (*.f32 ux (*.f32 (-.f32 1 ux) (*.f32 maxCos zi))))

Calls

6 calls:

16.0ms	zi
16.0ms	maxCos
15.0ms	uy
15.0ms	xi
15.0ms	yi

Results

Error	Segments	Branch
0.5b	1	`xi`
0.5b	1	`yi`
0.5b	1	`zi`
0.5b	1	`ux`
0.5b	1	`uy`
0.5b	1	`maxCos`

Compiler

Compiled 1499 to 811 computations (45.9% saved)

regimes216.0ms (0.8%)

Counts

28 → 1

Calls

Call 1

Inputs
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (+.f32 maxCos (.f32 maxCos (.f32 ux -2))))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 yi (.f32 (PI.f32) uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 maxCos zi)))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 maxCos (*.f32 zi (neg.f32 ux)))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 yi (.f32 (PI.f32) uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (.f32 uy (.f32 2 (PI.f32))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (+.f32 (.f32 maxCos zi) (.f32 maxCos (.f32 (*.f32 zi ux) -1)))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 -2 (+.f32 uy (-.f32 uy -2))))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 2 (+.f32 uy -1)) -2))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (+.f32 (+.f32 (.f32 2 (.f32 (PI.f32) uy)) 2) -2)) xi) (.f32 yi (.f32 (PI.f32) (.f32 2 uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (-.f32 (-.f32 (.f32 (PI.f32) (+.f32 uy uy)) -1) 1)) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (+.f32 maxCos (.f32 maxCos (.f32 ux -2))))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 -2 (.f32 1/2 (+.f32 uy (+.f32 4 (.f32 3 uy))))))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 (PI.f32) (.f32 uy yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 yi (.f32 (PI.f32) (.f32 2 uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 (+.f32 uy uy) (PI.f32))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 -2 (+.f32 uy (-.f32 uy -2))))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 2 (+.f32 uy -1)) -2))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (+.f32 (+.f32 (.f32 (PI.f32) (+.f32 uy uy)) 3) -3)) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (-.f32 (-.f32 (.f32 (PI.f32) (+.f32 uy uy)) -1) 1)) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 maxCos zi)))

Outputs

(+.f32 (*.f32 (sqrt.f32 (-.f32 1 (*.f32 (*.f32 ux maxCos) (*.f32 ux maxCos)))) (+.f32 (*.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) xi) (*.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))) yi))) (*.f32 ux (*.f32 maxCos zi)))

Calls

6 calls:

78.0ms	uy
59.0ms	yi
14.0ms	xi
13.0ms	ux
13.0ms	zi

Results

Error	Segments	Branch
1.1b	1	`xi`
1.1b	1	`yi`
1.1b	1	`zi`
1.1b	1	`ux`
1.1b	1	`uy`
1.1b	1	`maxCos`

Compiler

Compiled 1208 to 659 computations (45.4% saved)

regimes113.0ms (0.4%)

Counts

27 → 1

Calls

Call 1

Inputs
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (+.f32 maxCos (.f32 maxCos (.f32 ux -2))))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 yi (.f32 (PI.f32) uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 maxCos zi)))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 maxCos (*.f32 zi (neg.f32 ux)))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 yi (.f32 (PI.f32) uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (.f32 uy (.f32 2 (PI.f32))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (+.f32 (.f32 maxCos zi) (.f32 maxCos (.f32 (*.f32 zi ux) -1)))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 -2 (+.f32 uy (-.f32 uy -2))))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 2 (+.f32 uy -1)) -2))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (+.f32 (+.f32 (.f32 2 (.f32 (PI.f32) uy)) 2) -2)) xi) (.f32 yi (.f32 (PI.f32) (.f32 2 uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (-.f32 (-.f32 (.f32 (PI.f32) (+.f32 uy uy)) -1) 1)) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (+.f32 maxCos (.f32 maxCos (.f32 ux -2))))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 -2 (.f32 1/2 (+.f32 uy (+.f32 4 (.f32 3 uy))))))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 (PI.f32) (.f32 uy yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 yi (.f32 (PI.f32) (.f32 2 uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 (+.f32 uy uy) (PI.f32))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 -2 (+.f32 uy (-.f32 uy -2))))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 2 (+.f32 uy -1)) -2))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (+.f32 (+.f32 (.f32 (PI.f32) (+.f32 uy uy)) 3) -3)) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (-.f32 (-.f32 (.f32 (PI.f32) (+.f32 uy uy)) -1) 1)) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))

Outputs

(+.f32 (*.f32 (sqrt.f32 (-.f32 1 (*.f32 (*.f32 ux maxCos) (*.f32 ux (*.f32 (-.f32 1 ux) (*.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (*.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) xi) (*.f32 yi (*.f32 (PI.f32) (*.f32 2 uy))))) (*.f32 ux (*.f32 (-.f32 1 ux) (*.f32 maxCos zi))))

Calls

6 calls:

18.0ms	yi
16.0ms	uy
13.0ms	zi
13.0ms	maxCos
13.0ms	ux

Results

Error	Segments	Branch
2.6b	1	`xi`
2.6b	1	`yi`
2.6b	1	`zi`
2.6b	1	`ux`
2.6b	1	`uy`
2.6b	1	`maxCos`

Compiler

Compiled 1174 to 643 computations (45.2% saved)

regimes96.0ms (0.3%)

Counts

21 → 1

Calls

Call 1

Inputs
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (+.f32 maxCos (.f32 maxCos (.f32 ux -2))))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 yi (.f32 (PI.f32) uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 maxCos zi)))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 maxCos (*.f32 zi (neg.f32 ux)))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 yi (.f32 (PI.f32) uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (.f32 uy (.f32 2 (PI.f32))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (+.f32 (.f32 maxCos zi) (.f32 maxCos (.f32 (*.f32 zi ux) -1)))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 -2 (+.f32 uy (-.f32 uy -2))))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 2 (+.f32 uy -1)) -2))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (+.f32 (+.f32 (.f32 2 (.f32 (PI.f32) uy)) 2) -2)) xi) (.f32 yi (.f32 (PI.f32) (.f32 2 uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (-.f32 (-.f32 (.f32 (PI.f32) (+.f32 uy uy)) -1) 1)) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (+.f32 maxCos (.f32 maxCos (.f32 ux -2))))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 -2 (.f32 1/2 (+.f32 uy (+.f32 4 (.f32 3 uy))))))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 (PI.f32) (.f32 uy yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))

Outputs

(+.f32 (*.f32 (sqrt.f32 (-.f32 1 (*.f32 (*.f32 ux maxCos) (*.f32 ux (*.f32 (-.f32 1 ux) (*.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (*.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) xi) (*.f32 2 (*.f32 uy (*.f32 (PI.f32) yi))))) (*.f32 ux (*.f32 (-.f32 1 ux) (*.f32 maxCos zi))))

Calls

6 calls:

14.0ms	xi
13.0ms	ux
12.0ms	maxCos
11.0ms	zi
11.0ms	uy

Results

Error	Segments	Branch
2.6b	1	`xi`
2.6b	1	`yi`
2.6b	1	`zi`
2.6b	1	`ux`
2.6b	1	`uy`
2.6b	1	`maxCos`

Compiler

Compiled 888 to 484 computations (45.5% saved)

regimes89.0ms (0.3%)

Counts

18 → 1

Calls

Call 1

Inputs
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (+.f32 maxCos (.f32 maxCos (.f32 ux -2))))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 yi (.f32 (PI.f32) uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 maxCos zi)))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 maxCos (*.f32 zi (neg.f32 ux)))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 yi (.f32 (PI.f32) uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (.f32 uy (.f32 2 (PI.f32))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (+.f32 (.f32 maxCos zi) (.f32 maxCos (.f32 (*.f32 zi ux) -1)))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 -2 (+.f32 uy (-.f32 uy -2))))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 2 (+.f32 uy -1)) -2))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (+.f32 (+.f32 (.f32 2 (.f32 (PI.f32) uy)) 2) -2)) xi) (.f32 yi (.f32 (PI.f32) (.f32 2 uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (-.f32 (-.f32 (.f32 (PI.f32) (+.f32 uy uy)) -1) 1)) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (+.f32 maxCos (.f32 maxCos (.f32 ux -2))))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 -2 (.f32 1/2 (+.f32 uy (+.f32 4 (.f32 3 uy))))))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))

Outputs

(+.f32 (*.f32 (sqrt.f32 (-.f32 1 (*.f32 (*.f32 ux maxCos) (*.f32 ux (+.f32 maxCos (*.f32 maxCos (*.f32 ux -2))))))) (+.f32 (*.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) xi) (*.f32 2 (*.f32 uy (*.f32 (PI.f32) yi))))) (*.f32 ux (*.f32 (-.f32 1 ux) (*.f32 maxCos zi))))

Calls

6 calls:

21.0ms	ux
10.0ms	yi
10.0ms	xi
10.0ms	uy
10.0ms	maxCos

Results

Error	Segments	Branch
2.7b	1	`xi`
2.7b	1	`yi`
2.7b	1	`zi`
2.7b	1	`ux`
2.7b	1	`uy`
2.7b	1	`maxCos`

Compiler

Compiled 753 to 407 computations (45.9% saved)

regimes69.0ms (0.2%)

Counts

16 → 1

Calls

Call 1

Inputs
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (+.f32 maxCos (.f32 maxCos (.f32 ux -2))))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 yi (.f32 (PI.f32) uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 maxCos zi)))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 maxCos (*.f32 zi (neg.f32 ux)))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 yi (.f32 (PI.f32) uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (.f32 uy (.f32 2 (PI.f32))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (+.f32 (.f32 maxCos zi) (.f32 maxCos (.f32 (*.f32 zi ux) -1)))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 -2 (+.f32 uy (-.f32 uy -2))))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 2 (+.f32 uy -1)) -2))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (+.f32 (+.f32 (.f32 2 (.f32 (PI.f32) uy)) 2) -2)) xi) (.f32 yi (.f32 (PI.f32) (.f32 2 uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (-.f32 (-.f32 (.f32 (PI.f32) (+.f32 uy uy)) -1) 1)) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))

Outputs

(+.f32 (*.f32 (sqrt.f32 (-.f32 1 (*.f32 (*.f32 ux maxCos) (*.f32 ux maxCos)))) (+.f32 (*.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) xi) (*.f32 2 (*.f32 yi (*.f32 (PI.f32) uy))))) (*.f32 ux (*.f32 (-.f32 1 ux) (*.f32 maxCos zi))))

Calls

6 calls:

9.0ms	ux
9.0ms	xi
9.0ms	uy
9.0ms	zi
9.0ms	yi

Results

Error	Segments	Branch
2.8b	1	`xi`
2.8b	1	`yi`
2.8b	1	`zi`
2.8b	1	`ux`
2.8b	1	`uy`
2.8b	1	`maxCos`

Compiler

Compiled 665 to 360 computations (45.9% saved)

regimes52.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

Inputs
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (+.f32 maxCos (.f32 maxCos (.f32 ux -2))))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 yi (.f32 (PI.f32) uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 maxCos zi)))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 maxCos (*.f32 zi (neg.f32 ux)))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))

Outputs

(+.f32 (*.f32 (sqrt.f32 (-.f32 1 (*.f32 (*.f32 ux maxCos) (*.f32 ux maxCos)))) (+.f32 (*.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) xi) (*.f32 2 (*.f32 uy (*.f32 (PI.f32) yi))))) (*.f32 ux (*.f32 (-.f32 1 ux) (*.f32 maxCos zi))))

Calls

6 calls:

14.0ms	zi
7.0ms	ux
7.0ms	yi
6.0ms	maxCos
5.0ms	uy

Results

Error	Segments	Branch
2.8b	1	`xi`
2.8b	1	`yi`
2.8b	1	`zi`
2.8b	1	`ux`
2.8b	1	`uy`
2.8b	1	`maxCos`

Compiler

Compiled 349 to 205 computations (41.3% saved)

regimes41.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (+.f32 maxCos (.f32 maxCos (.f32 ux -2))))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 yi (.f32 (PI.f32) uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 maxCos zi)))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 maxCos (*.f32 zi (neg.f32 ux)))))

Outputs

(+.f32 (*.f32 (sqrt.f32 (-.f32 1 (*.f32 (*.f32 ux maxCos) (*.f32 ux maxCos)))) (+.f32 (*.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) xi) (*.f32 2 (*.f32 uy (*.f32 (PI.f32) yi))))) (*.f32 ux (*.f32 maxCos zi)))

Calls

6 calls:

6.0ms	maxCos
6.0ms	ux
6.0ms	zi
5.0ms	xi
5.0ms	uy

Results

Error	Segments	Branch
3.3b	1	`xi`
3.3b	1	`yi`
3.3b	1	`zi`
3.3b	1	`ux`
3.3b	1	`uy`
3.3b	1	`maxCos`

Compiler

Compiled 312 to 188 computations (39.7% saved)

regimes34.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (+.f32 maxCos (.f32 maxCos (.f32 ux -2))))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 yi (.f32 (PI.f32) uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))

Outputs

(+.f32 (*.f32 (sqrt.f32 (-.f32 1 (*.f32 (*.f32 ux maxCos) (*.f32 ux (*.f32 (-.f32 1 ux) (*.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (*.f32 (cos.f32 0) xi) (*.f32 2 (*.f32 yi (*.f32 (PI.f32) uy))))) (*.f32 ux (*.f32 (-.f32 1 ux) (*.f32 maxCos zi))))

Calls

6 calls:

6.0ms	maxCos
5.0ms	ux
5.0ms	yi
4.0ms	zi
4.0ms	uy

Results

Error	Segments	Branch
5.4b	1	`xi`
5.4b	1	`yi`
5.4b	1	`zi`
5.4b	1	`ux`
5.4b	1	`uy`
5.4b	1	`maxCos`

Compiler

Compiled 243 to 157 computations (35.4% saved)

regimes26.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs

(+.f32 (*.f32 (sqrt.f32 (-.f32 1 (*.f32 (*.f32 ux maxCos) (*.f32 ux maxCos)))) (+.f32 (*.f32 (cos.f32 0) xi) (*.f32 2 (*.f32 uy (*.f32 (PI.f32) yi))))) (*.f32 ux (*.f32 (-.f32 1 ux) (*.f32 maxCos zi))))

(+.f32 (*.f32 (sqrt.f32 (-.f32 1 (*.f32 (*.f32 ux maxCos) (*.f32 ux (+.f32 maxCos (*.f32 maxCos (*.f32 ux -2))))))) (+.f32 (*.f32 (cos.f32 0) xi) (*.f32 2 (*.f32 uy (*.f32 (PI.f32) yi))))) (*.f32 ux (*.f32 (-.f32 1 ux) (*.f32 maxCos zi))))

(+.f32 (*.f32 (sqrt.f32 (-.f32 1 (*.f32 (*.f32 ux maxCos) (*.f32 ux (*.f32 (-.f32 1 ux) (*.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (*.f32 (cos.f32 0) xi) (*.f32 2 (*.f32 uy (*.f32 (PI.f32) yi))))) (*.f32 ux (*.f32 (-.f32 1 ux) (*.f32 maxCos zi))))

Outputs

(+.f32 (*.f32 (sqrt.f32 (-.f32 1 (*.f32 (*.f32 ux maxCos) (*.f32 ux (*.f32 (-.f32 1 ux) (*.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (*.f32 (cos.f32 0) xi) (*.f32 2 (*.f32 uy (*.f32 (PI.f32) yi))))) (*.f32 ux (*.f32 (-.f32 1 ux) (*.f32 maxCos zi))))

Calls

6 calls:

4.0ms	ux
4.0ms	yi
4.0ms	maxCos
3.0ms	uy
3.0ms	zi

Results

Error	Segments	Branch
5.4b	1	`xi`
5.4b	1	`yi`
5.4b	1	`zi`
5.4b	1	`ux`
5.4b	1	`uy`
5.4b	1	`maxCos`

Compiler

Compiled 161 to 107 computations (33.5% saved)

regimes24.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0.6%)

Threshold costs -0.0b (-0.6%)

Counts

2 → 1

Calls

Call 1

Inputs

(+.f32 (*.f32 (sqrt.f32 (-.f32 1 (*.f32 (*.f32 ux maxCos) (*.f32 ux maxCos)))) (+.f32 (*.f32 (cos.f32 0) xi) (*.f32 2 (*.f32 uy (*.f32 (PI.f32) yi))))) (*.f32 ux (*.f32 (-.f32 1 ux) (*.f32 maxCos zi))))

(+.f32 (*.f32 (sqrt.f32 (-.f32 1 (*.f32 (*.f32 ux maxCos) (*.f32 ux (+.f32 maxCos (*.f32 maxCos (*.f32 ux -2))))))) (+.f32 (*.f32 (cos.f32 0) xi) (*.f32 2 (*.f32 uy (*.f32 (PI.f32) yi))))) (*.f32 ux (*.f32 (-.f32 1 ux) (*.f32 maxCos zi))))

Outputs

(+.f32 (*.f32 (sqrt.f32 (-.f32 1 (*.f32 (*.f32 ux maxCos) (*.f32 ux (+.f32 maxCos (*.f32 maxCos (*.f32 ux -2))))))) (+.f32 (*.f32 (cos.f32 0) xi) (*.f32 2 (*.f32 uy (*.f32 (PI.f32) yi))))) (*.f32 ux (*.f32 (-.f32 1 ux) (*.f32 maxCos zi))))

Calls

6 calls:

4.0ms	maxCos
4.0ms	ux
4.0ms	xi
3.0ms	uy
3.0ms	zi

Results

Error	Segments	Branch
5.5b	1	`xi`
5.5b	1	`yi`
5.5b	1	`zi`
5.5b	1	`ux`
5.5b	1	`uy`
5.5b	1	`maxCos`

Compiler

Compiled 120 to 84 computations (30% saved)

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	1740

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (-.f32 (PI.f32) (.f32 2 (.f32 (PI.f32) (-.f32 1/2 uy))))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 maxCos zi)))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 yi (.f32 (PI.f32) (.f32 2 uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (+.f32 maxCos (.f32 maxCos (.f32 ux -2))))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 yi (.f32 (PI.f32) uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 maxCos zi)))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 yi (.f32 (PI.f32) uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (+.f32 maxCos (.f32 maxCos (.f32 ux -2))))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))

Outputs
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (-.f32 (PI.f32) (.f32 2 (.f32 (PI.f32) (-.f32 1/2 uy))))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 maxCos zi)))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 yi (.f32 (PI.f32) (.f32 2 uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (+.f32 maxCos (.f32 maxCos (.f32 ux -2))))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 yi (.f32 (PI.f32) uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 maxCos zi)))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 yi (.f32 (PI.f32) uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) maxCos)))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux (+.f32 maxCos (.f32 maxCos (.f32 ux -2))))))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux maxCos) (.f32 ux maxCos)))) (+.f32 (.f32 (cos.f32 0) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))

Compiler

Compiled 646 to 451 computations (30.2% saved)

soundness180.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1600×	`rational.json-simplify-54`
1540×	`rational.json-simplify-19`
1420×	`rational.json-simplify-51`
804×	`rational.json-simplify-2`
720×	`rational.json-simplify-40`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	201
1	48	201
2	96	201
3	227	143
4	1147	143
5	5614	143

Stop Event

1×	node limit

Compiler

Compiled 71 to 50 computations (29.6% saved)

end202.0ms (0.7%)

Compiler: Compiled 568 to 314 computations (44.7% saved)