Details

analyze3.0ms (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)

sample4.9s (22.4%)

Results

4.8s

8256×

body

256

valid

Bogosity

preprocess72.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

1248×	`rational_best_oopsla_all_46_json_45_simplify-23`
1200×	`rational_best_oopsla_all_46_json_45_simplify-72`
908×	`rational_best_oopsla_all_46_json_45_simplify-89`
864×	`rational_best_oopsla_all_46_json_45_simplify-49`
686×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	194	3216
1	766	3216
2	3377	3216
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 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) ux))))) xi) (.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) ux)))) (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 (PI.f32) 2))) (.f32 xi (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 (-.f32 1 ux) maxCos))))))) (+.f32 (.f32 ux (.f32 zi (.f32 (-.f32 1 ux) maxCos))) (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 (-.f32 1 ux) maxCos))))) (.f32 yi (sin.f32 (.f32 uy (*.f32 (PI.f32) 2)))))))
(+.f32 (.f32 (cos.f32 (.f32 uy (.f32 (PI.f32) 2))) (.f32 xi (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.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 yi (sin.f32 (.f32 uy (.f32 (PI.f32) 2))))) (.f32 ux (.f32 zi (*.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) 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 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) ux))))) yi) (.f32 xi (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) ux)))) (sin.f32 (.f32 (*.f32 uy 2) (PI.f32)))))))
(+.f32 (.f32 ux (.f32 zi (.f32 (-.f32 1 ux) maxCos))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 (PI.f32) 2))) (.f32 yi (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 (-.f32 1 ux) maxCos))))))) (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 (-.f32 1 ux) maxCos))))) (.f32 xi (sin.f32 (.f32 uy (*.f32 (PI.f32) 2)))))))
(+.f32 (.f32 ux (.f32 zi (.f32 (-.f32 1 ux) maxCos))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 (PI.f32) 2))) (.f32 yi (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))))) (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 xi (sin.f32 (.f32 uy (*.f32 (PI.f32) 2)))))))
(+.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 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) ux)))) (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 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) ux))))) zi)) (.f32 (.f32 ux (*.f32 (-.f32 1 ux) maxCos)) xi))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 (-.f32 1 ux) maxCos))))) (.f32 yi (sin.f32 (.f32 uy (.f32 (PI.f32) 2))))) (+.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 xi ux)) (.f32 (cos.f32 (.f32 uy (.f32 (PI.f32) 2))) (.f32 zi (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (*.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 yi (sin.f32 (.f32 uy (.f32 (PI.f32) 2))))) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 zi (cos.f32 (.f32 uy (.f32 (PI.f32) 2))))) (.f32 ux (.f32 xi (*.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 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 xi (.f32 maxCos (-.f32 1 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 xi (.f32 maxCos (-.f32 1 xi))) (.f32 xi (.f32 maxCos (-.f32 1 xi))))))))) (.f32 zi (.f32 xi (*.f32 maxCos (-.f32 1 xi)))))
(+.f32 (.f32 (cos.f32 (.f32 uy (.f32 (PI.f32) 2))) (.f32 ux (sqrt.f32 (-.f32 1 (.f32 (.f32 maxCos (-.f32 1 xi)) (.f32 xi (.f32 maxCos (.f32 xi (-.f32 1 xi))))))))) (+.f32 (.f32 xi (.f32 zi (.f32 maxCos (-.f32 1 xi)))) (.f32 (sin.f32 (.f32 uy (.f32 (PI.f32) 2))) (.f32 yi (sqrt.f32 (-.f32 1 (.f32 (.f32 maxCos (-.f32 1 xi)) (.f32 xi (.f32 maxCos (*.f32 xi (-.f32 1 xi)))))))))))
(+.f32 (.f32 (cos.f32 (.f32 uy (.f32 (PI.f32) 2))) (.f32 ux (sqrt.f32 (-.f32 1 (.f32 (.f32 xi (.f32 maxCos (-.f32 1 xi))) (.f32 xi (.f32 maxCos (-.f32 1 xi)))))))) (+.f32 (.f32 (sin.f32 (.f32 uy (.f32 (PI.f32) 2))) (.f32 yi (sqrt.f32 (-.f32 1 (.f32 (.f32 xi (.f32 maxCos (-.f32 1 xi))) (.f32 xi (.f32 maxCos (-.f32 1 xi)))))))) (.f32 (.f32 maxCos (-.f32 1 xi)) (*.f32 zi 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 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) ux)))) (cos.f32 (.f32 (PI.f32) (.f32 2 xi))))) (.f32 yi (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) ux)))) (sin.f32 (.f32 (PI.f32) (*.f32 2 xi)))))))
(+.f32 (.f32 ux (.f32 zi (.f32 (-.f32 1 ux) maxCos))) (+.f32 (.f32 uy (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 (-.f32 1 ux) maxCos))))) (cos.f32 (.f32 2 (.f32 (PI.f32) xi))))) (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 (-.f32 1 ux) maxCos))))) (.f32 yi (sin.f32 (.f32 2 (*.f32 (PI.f32) xi)))))))
(+.f32 (.f32 ux (.f32 zi (.f32 (-.f32 1 ux) maxCos))) (+.f32 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) xi))) (.f32 uy (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))))) (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.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 (.f32 ux (.f32 (-.f32 1 ux) xi)) ux)))))) (.f32 yi (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) xi) (.f32 (.f32 ux (.f32 (-.f32 1 ux) xi)) ux))))))) (.f32 zi (.f32 ux (*.f32 (-.f32 1 ux) xi))))
(+.f32 (.f32 maxCos (.f32 (cos.f32 (.f32 uy (.f32 (PI.f32) 2))) (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) xi)) (.f32 ux (.f32 (-.f32 1 ux) xi))))))) (+.f32 (.f32 (.f32 (-.f32 1 ux) xi) (.f32 zi ux)) (.f32 (sin.f32 (.f32 uy (.f32 (PI.f32) 2))) (.f32 yi (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) xi)) (.f32 ux (*.f32 (-.f32 1 ux) xi)))))))))
(+.f32 (.f32 (cos.f32 (.f32 uy (.f32 (PI.f32) 2))) (.f32 maxCos (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) xi)) (.f32 ux (.f32 (-.f32 1 ux) xi))))))) (+.f32 (.f32 (sin.f32 (.f32 uy (.f32 (PI.f32) 2))) (.f32 yi (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) xi)) (.f32 ux (.f32 (-.f32 1 ux) xi))))))) (.f32 (.f32 (-.f32 1 ux) xi) (*.f32 zi ux))))
(+.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 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) ux))))) xi) (.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) ux)))) (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 (PI.f32) 2))) (.f32 xi (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 (-.f32 1 ux) maxCos))))))) (+.f32 (.f32 ux (.f32 yi (.f32 (-.f32 1 ux) maxCos))) (.f32 (sin.f32 (.f32 uy (.f32 (PI.f32) 2))) (.f32 zi (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (*.f32 (-.f32 1 ux) maxCos)))))))))
(+.f32 (.f32 (cos.f32 (.f32 uy (.f32 (PI.f32) 2))) (.f32 xi (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.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 zi (sin.f32 (.f32 uy (.f32 (PI.f32) 2))))) (.f32 ux (.f32 yi (*.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 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 (.f32 yi (.f32 maxCos (-.f32 1 yi))) yi)))))) (.f32 ux (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 maxCos (-.f32 1 yi)) (.f32 (.f32 yi (.f32 maxCos (-.f32 1 yi))) yi))))))) (.f32 zi (.f32 yi (*.f32 maxCos (-.f32 1 yi)))))
(+.f32 (.f32 (cos.f32 (.f32 uy (.f32 (PI.f32) 2))) (.f32 xi (sqrt.f32 (-.f32 1 (.f32 (.f32 maxCos (.f32 yi (-.f32 1 yi))) (.f32 maxCos (.f32 yi (-.f32 1 yi)))))))) (+.f32 (.f32 (.f32 maxCos (-.f32 1 yi)) (.f32 zi yi)) (.f32 ux (.f32 (sin.f32 (.f32 uy (.f32 (PI.f32) 2))) (sqrt.f32 (-.f32 1 (.f32 (.f32 maxCos (.f32 yi (-.f32 1 yi))) (.f32 maxCos (*.f32 yi (-.f32 1 yi))))))))))
(+.f32 (.f32 (cos.f32 (.f32 uy (.f32 (PI.f32) 2))) (.f32 xi (sqrt.f32 (-.f32 1 (.f32 (.f32 maxCos (.f32 yi (-.f32 1 yi))) (.f32 maxCos (.f32 yi (-.f32 1 yi)))))))) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 maxCos (.f32 yi (-.f32 1 yi))) (.f32 maxCos (.f32 yi (-.f32 1 yi)))))) (.f32 ux (sin.f32 (.f32 uy (.f32 (PI.f32) 2))))) (.f32 (.f32 maxCos (-.f32 1 yi)) (*.f32 zi yi))))
(+.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 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) ux)))) (cos.f32 (.f32 (PI.f32) (.f32 2 yi))))) (.f32 uy (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) ux)))) (sin.f32 (.f32 (PI.f32) (*.f32 2 yi)))))))
(+.f32 (.f32 ux (.f32 zi (.f32 (-.f32 1 ux) maxCos))) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 (-.f32 1 ux) maxCos))))) (.f32 xi (cos.f32 (.f32 (PI.f32) (.f32 2 yi))))) (.f32 uy (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 (-.f32 1 ux) maxCos))))) (sin.f32 (.f32 (PI.f32) (*.f32 2 yi)))))))
(+.f32 (.f32 ux (.f32 zi (.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 xi (cos.f32 (.f32 2 (.f32 (PI.f32) yi))))) (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) yi))) (.f32 uy (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (*.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) 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 (PI.f32) 2))) (.f32 xi (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (.f32 ux (.f32 (-.f32 1 ux) yi)) (.f32 (-.f32 1 ux) yi))))))) (+.f32 (.f32 ux (.f32 zi (.f32 (-.f32 1 ux) yi))) (.f32 maxCos (.f32 (sin.f32 (.f32 uy (.f32 (PI.f32) 2))) (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (.f32 ux (.f32 (-.f32 1 ux) yi)) (*.f32 (-.f32 1 ux) yi)))))))))
(+.f32 (.f32 xi (.f32 (cos.f32 (.f32 uy (.f32 (PI.f32) 2))) (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (.f32 ux (.f32 (-.f32 1 ux) yi)) (.f32 (-.f32 1 ux) yi))))))) (+.f32 (.f32 maxCos (.f32 (sin.f32 (.f32 uy (.f32 (PI.f32) 2))) (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (.f32 ux (.f32 (-.f32 1 ux) yi)) (.f32 (-.f32 1 ux) yi))))))) (.f32 (.f32 (-.f32 1 ux) yi) (*.f32 zi ux))))
(+.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 zi (.f32 maxCos (-.f32 1 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 zi (.f32 maxCos (-.f32 1 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 (PI.f32) 2))) (sqrt.f32 (-.f32 1 (.f32 (.f32 zi (.f32 maxCos (-.f32 1 zi))) (.f32 zi (.f32 maxCos (-.f32 1 zi)))))))) (+.f32 (.f32 (.f32 maxCos (-.f32 1 zi)) (.f32 ux zi)) (.f32 (sin.f32 (.f32 uy (.f32 (PI.f32) 2))) (.f32 yi (sqrt.f32 (-.f32 1 (.f32 (.f32 zi (.f32 maxCos (-.f32 1 zi))) (.f32 zi (*.f32 maxCos (-.f32 1 zi))))))))))
(+.f32 (.f32 (cos.f32 (.f32 uy (.f32 (PI.f32) 2))) (.f32 xi (sqrt.f32 (-.f32 1 (.f32 (.f32 maxCos (.f32 zi (-.f32 1 zi))) (.f32 maxCos (.f32 zi (-.f32 1 zi)))))))) (+.f32 (.f32 (sin.f32 (.f32 uy (.f32 (PI.f32) 2))) (.f32 yi (sqrt.f32 (-.f32 1 (.f32 (.f32 maxCos (.f32 zi (-.f32 1 zi))) (.f32 maxCos (.f32 zi (-.f32 1 zi)))))))) (.f32 (.f32 maxCos (-.f32 1 zi)) (*.f32 ux 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 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) ux)))) (cos.f32 (.f32 (PI.f32) (.f32 2 zi))))) (.f32 yi (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) ux)))) (sin.f32 (.f32 (PI.f32) (.f32 2 zi)))))) (.f32 uy (.f32 ux (*.f32 (-.f32 1 ux) maxCos))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 (-.f32 1 ux) maxCos))))) (.f32 xi (cos.f32 (.f32 2 (.f32 (PI.f32) zi))))) (+.f32 (.f32 uy (.f32 ux (.f32 (-.f32 1 ux) maxCos))) (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 (-.f32 1 ux) maxCos))))) (.f32 yi (sin.f32 (.f32 2 (*.f32 (PI.f32) zi)))))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 xi (cos.f32 (.f32 2 (.f32 (PI.f32) zi))))) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 yi (sin.f32 (.f32 2 (.f32 (PI.f32) zi))))) (.f32 uy (.f32 ux (*.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 (.f32 ux (.f32 (-.f32 1 ux) zi)) ux)))))) (.f32 yi (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) zi) (.f32 (.f32 ux (.f32 (-.f32 1 ux) zi)) ux))))))) (.f32 maxCos (.f32 ux (*.f32 (-.f32 1 ux) zi))))
(+.f32 (.f32 (cos.f32 (.f32 uy (.f32 (PI.f32) 2))) (.f32 xi (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) zi) (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) zi)))))))) (+.f32 (.f32 (.f32 (-.f32 1 ux) zi) (.f32 maxCos ux)) (.f32 (sin.f32 (.f32 uy (.f32 (PI.f32) 2))) (.f32 yi (sqrt.f32 (-.f32 1 (.f32 (.f32 (-.f32 1 ux) zi) (.f32 ux (.f32 ux (*.f32 (-.f32 1 ux) zi))))))))))
(+.f32 (.f32 (cos.f32 (.f32 uy (.f32 (PI.f32) 2))) (.f32 xi (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) zi)) (.f32 ux (.f32 (-.f32 1 ux) zi))))))) (+.f32 (.f32 (sin.f32 (.f32 uy (.f32 (PI.f32) 2))) (.f32 yi (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) zi)) (.f32 ux (.f32 (-.f32 1 ux) zi))))))) (.f32 (.f32 (-.f32 1 ux) zi) (*.f32 maxCos ux))))
(+.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 (.f32 uy (.f32 maxCos (-.f32 1 uy))) uy)))))) (.f32 yi (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 maxCos (-.f32 1 uy)) (.f32 (.f32 uy (.f32 maxCos (-.f32 1 uy))) 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 (PI.f32) ux))) (sqrt.f32 (-.f32 1 (.f32 uy (.f32 (.f32 uy (.f32 maxCos (-.f32 1 uy))) (.f32 maxCos (-.f32 1 uy)))))))) (+.f32 (.f32 uy (.f32 zi (.f32 maxCos (-.f32 1 uy)))) (.f32 yi (.f32 (sqrt.f32 (-.f32 1 (.f32 uy (.f32 (.f32 uy (.f32 maxCos (-.f32 1 uy))) (.f32 maxCos (-.f32 1 uy)))))) (sin.f32 (.f32 2 (*.f32 (PI.f32) ux)))))))
(+.f32 (.f32 xi (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) ux))) (sqrt.f32 (-.f32 1 (.f32 uy (.f32 (.f32 uy (.f32 maxCos (-.f32 1 uy))) (.f32 maxCos (-.f32 1 uy)))))))) (+.f32 (.f32 yi (.f32 (sqrt.f32 (-.f32 1 (.f32 uy (.f32 (.f32 uy (.f32 maxCos (-.f32 1 uy))) (.f32 maxCos (-.f32 1 uy)))))) (sin.f32 (.f32 2 (.f32 (PI.f32) ux))))) (.f32 uy (.f32 zi (*.f32 maxCos (-.f32 1 uy))))))
(+.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 ux (-.f32 1 maxCos)) (.f32 (.f32 maxCos (.f32 ux (-.f32 1 maxCos))) maxCos)))))) (.f32 yi (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 maxCos)) (.f32 (.f32 maxCos (.f32 ux (-.f32 1 maxCos))) maxCos))))))) (.f32 zi (.f32 maxCos (*.f32 ux (-.f32 1 maxCos)))))
(+.f32 (.f32 (cos.f32 (.f32 uy (.f32 (PI.f32) 2))) (.f32 xi (sqrt.f32 (-.f32 1 (.f32 maxCos (.f32 (.f32 ux (.f32 maxCos (-.f32 1 maxCos))) (.f32 ux (-.f32 1 maxCos)))))))) (+.f32 (.f32 (.f32 ux (-.f32 1 maxCos)) (.f32 zi maxCos)) (.f32 (sin.f32 (.f32 uy (.f32 (PI.f32) 2))) (.f32 yi (sqrt.f32 (-.f32 1 (.f32 maxCos (.f32 (.f32 ux (.f32 maxCos (-.f32 1 maxCos))) (*.f32 ux (-.f32 1 maxCos))))))))))
(+.f32 (.f32 (cos.f32 (.f32 uy (.f32 (PI.f32) 2))) (.f32 xi (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 maxCos (-.f32 1 maxCos))) (.f32 ux (.f32 maxCos (-.f32 1 maxCos)))))))) (+.f32 (.f32 (sin.f32 (.f32 uy (.f32 (PI.f32) 2))) (.f32 yi (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 maxCos (-.f32 1 maxCos))) (.f32 ux (.f32 maxCos (-.f32 1 maxCos)))))))) (.f32 (.f32 ux (-.f32 1 maxCos)) (*.f32 zi maxCos))))
(+.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 ux (.f32 uy (-.f32 1 ux))) (.f32 ux (.f32 uy (-.f32 1 ux)))))))) (.f32 yi (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 uy (-.f32 1 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 uy (.f32 ux (-.f32 1 ux))) (.f32 uy (-.f32 1 ux)))))))) (+.f32 (.f32 ux (.f32 zi (.f32 uy (-.f32 1 ux)))) (.f32 yi (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (.f32 uy (.f32 ux (-.f32 1 ux))) (.f32 uy (-.f32 1 ux)))))) (sin.f32 (.f32 (PI.f32) (*.f32 2 maxCos)))))))
(+.f32 (.f32 xi (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) maxCos))) (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (.f32 uy (.f32 ux (-.f32 1 ux))) (.f32 uy (-.f32 1 ux)))))))) (+.f32 (.f32 yi (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (.f32 uy (.f32 ux (-.f32 1 ux))) (.f32 uy (-.f32 1 ux)))))) (sin.f32 (.f32 2 (.f32 (PI.f32) maxCos))))) (.f32 ux (.f32 zi (*.f32 uy (-.f32 1 ux))))))

Compiler

Compiled 77 to 56 computations (27.3% saved)

simplify138.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1034×	`rational_best_oopsla_all_46_json_45_simplify-23`
908×	`rational_best_oopsla_all_46_json_45_simplify-72`
796×	`rational_best_oopsla_all_46_json_45_simplify-10`
736×	`rational_best_oopsla_all_46_json_45_simplify-30`
720×	`rational_best_oopsla_all_46_json_45_simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	201
1	83	201
2	343	201
3	1891	143
4	5645	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 (cos.f32 (.f32 2 (.f32 (PI.f32) uy))) (.f32 xi (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))))) (+.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 zi ux)) (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 yi (sin.f32 (.f32 2 (*.f32 (PI.f32) uy)))))))
(+.f32 (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 maxCos (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (-.f32 1 ux)))))) xi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 maxCos (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (-.f32 1 ux)))))) (.f32 (sin.f32 (.f32 (.f32 uy 2) (PI.f32))) yi)) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 zi maxCos)))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 ux (-.f32 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 (-.f32 1 ux) (.f32 zi (*.f32 ux maxCos))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 ux (-.f32 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 (-.f32 1 ux) (.f32 zi (*.f32 ux maxCos))))

eval4.0ms (0%)

Compiler: Compiled 358 to 222 computations (38% saved)

prune5.0ms (0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Error

0.4b

Counts

7 → 4

Alt Table

Click to see full alt table

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

Compiler

Compiled 265 to 181 computations (31.7% saved)

localize209.0ms (1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 296 to 177 computations (40.2% saved)

series12.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

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

rewrite64.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1626×	`rational_best_oopsla_all_46_json_45_simplify-23`
1268×	`rational_best_oopsla_all_46_json-2`
1268×	`rational_best_oopsla_all_46_json-1`
1268×	`rational_best_oopsla_all_46_json-4`
1268×	`rational_best_oopsla_all_46_json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	96
1	129	96
2	506	96
3	2793	96

Stop Event

1×	node limit

Counts

4 → 60

Calls

Call 1

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

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

simplify128.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1314×	`rational_best_oopsla_all_46_json_45_simplify-10`
1276×	`rational_best_oopsla_all_46_json_45_simplify-30`
896×	`rational_best_oopsla_all_46_json_45_simplify-23`
714×	`rational_best_oopsla_all_46_json_45_simplify-72`
606×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	190	4166
1	654	4000
2	2818	3910
3	7013	3910

Stop Event

1×	node limit

Counts

144 → 114

Calls

Call 1

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

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

localize245.0ms (1.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 327 to 205 computations (37.3% saved)

series3.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite104.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1366×	`rational_best_oopsla_all_46_json-2`
1366×	`rational_best_oopsla_all_46_json-1`
1366×	`rational_best_oopsla_all_46_json-4`
1366×	`rational_best_oopsla_all_46_json-3`
908×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	71
1	134	71
2	555	71
3	3153	71

Stop Event

1×	node limit

Counts

3 → 53

Calls

Call 1

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 uy (*.f32 2 (PI.f32))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 uy (*.f32 2 (PI.f32))) (*.f32 0 (*.f32 (PI.f32) (/.f32 uy uy))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 uy (*.f32 2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (*.f32 (PI.f32) (/.f32 uy uy))) (*.f32 uy (*.f32 2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 uy (*.f32 2 (PI.f32))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 0 (*.f32 -2 uy)) (*.f32 (*.f32 -2 uy) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 0 (neg.f32 (PI.f32))) (*.f32 (neg.f32 (PI.f32)) (+.f32 uy uy)))))) (#(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 2 (PI.f32))) (/.f32 uy uy))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 uy (*.f32 2 (PI.f32))) (/.f32 (PI.f32) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 uy (*.f32 2 (PI.f32))) (/.f32 (*.f32 uy (*.f32 2 (PI.f32))) (*.f32 uy (*.f32 2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 uy (*.f32 2 (PI.f32))) (/.f32 (*.f32 (PI.f32) (/.f32 uy uy)) (*.f32 (PI.f32) (/.f32 uy uy))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))) (*.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))) (neg.f32 ux)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))) (+.f32 (*.f32 0 (neg.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))))) (*.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))) (neg.f32 ux))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))) (+.f32 (*.f32 0 (*.f32 (-.f32 1 ux) (/.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))) (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos)))))) (*.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))) (neg.f32 ux))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 ux maxCos) (*.f32 (+.f32 ux -1) (+.f32 ux -1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 ux maxCos) (*.f32 (+.f32 ux -1) (+.f32 ux -1))) (*.f32 0 (neg.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))))))))) (#(struct:change #<rule 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maxCos)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (*.f32 ux maxCos)) (*.f32 (*.f32 ux maxCos) (*.f32 (+.f32 ux -1) (+.f32 ux -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (neg.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))))) (*.f32 (*.f32 ux maxCos) (*.f32 (+.f32 ux -1) (+.f32 ux -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (*.f32 (-.f32 1 ux) (*.f32 maxCos (/.f32 ux ux)))) (*.f32 (*.f32 ux maxCos) (*.f32 (+.f32 ux -1) (+.f32 ux -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (*.f32 (-.f32 1 ux) (/.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))) (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos)))))) (*.f32 (*.f32 ux maxCos) (*.f32 (+.f32 ux -1) (+.f32 ux -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))) (*.f32 (-.f32 1 ux) (*.f32 ux (*.f32 ux maxCos))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (*.f32 ux maxCos) (*.f32 (+.f32 ux -1) (+.f32 ux -1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))) (+.f32 ux -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))) (neg.f32 ux)) (neg.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))) (neg.f32 ux)) (-.f32 (*.f32 0 (neg.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))))) (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 0 (+.f32 ux -1)) (*.f32 (+.f32 ux -1) (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 0 (neg.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))))) (*.f32 (neg.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos)))) (-.f32 1 ux)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 ux maxCos) (*.f32 (+.f32 ux -1) (+.f32 ux -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 ux maxCos) (*.f32 (+.f32 ux -1) (+.f32 ux -1))) (/.f32 ux ux))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 ux maxCos) (*.f32 (+.f32 ux -1) (+.f32 ux -1))) (/.f32 (+.f32 ux -1) (+.f32 ux -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 ux maxCos) (*.f32 (+.f32 ux -1) (+.f32 ux -1))) (/.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))) (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 ux maxCos) (*.f32 (+.f32 ux -1) (+.f32 ux -1))) (/.f32 (-.f32 maxCos (*.f32 ux maxCos)) (-.f32 maxCos (*.f32 ux maxCos))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 ux maxCos) (*.f32 (+.f32 ux -1) (+.f32 ux -1))) (/.f32 (*.f32 (*.f32 ux maxCos) (*.f32 (+.f32 ux -1) (+.f32 ux -1))) (*.f32 (*.f32 ux maxCos) (*.f32 (+.f32 ux -1) (+.f32 ux -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 ux maxCos) (*.f32 (+.f32 ux -1) (+.f32 ux -1))) (/.f32 (*.f32 (-.f32 1 ux) (/.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))) (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))))) (*.f32 (-.f32 1 ux) (/.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))) (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos)))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))) (+.f32 ux -1)))))))

((#(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) (*.f32 0 (*.f32 yi (/.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (sin.f32 (*.f32 uy (*.f32 2 (PI.f32))))))))))) (#(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 0 (*.f32 yi (/.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (sin.f32 (*.f32 uy (*.f32 2 (PI.f32))))))) (*.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)))) yi) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 0 (neg.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))))) (*.f32 (neg.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32))))) yi))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 0 (neg.f32 yi)) (*.f32 (neg.f32 yi) (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)))) yi) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))) yi) (/.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.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)))) yi) (/.f32 yi yi))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))) yi) (/.f32 (*.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))) yi) (*.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)))) yi) (/.f32 (*.f32 yi (/.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))))) (*.f32 yi (/.f32 (sin.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (sin.f32 (*.f32 uy (*.f32 2 (PI.f32))))))))))))

simplify118.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1190×	`rational_best_oopsla_all_46_json_45_simplify-10`
1144×	`rational_best_oopsla_all_46_json_45_simplify-30`
706×	`rational_best_oopsla_all_46_json_45_simplify-23`
542×	`rational_best_oopsla_all_46_json_45_simplify-89`
510×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	174	3895
1	610	3673
2	2588	3205
3	6716	3205

Stop Event

1×	node limit

Counts

113 → 99

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 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 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 (.f32 uy (.f32 2 (PI.f32))) 0)
(+.f32 (.f32 uy (.f32 2 (PI.f32))) (.f32 0 (.f32 (PI.f32) (/.f32 uy uy))))
(+.f32 0 (.f32 uy (.f32 2 (PI.f32))))
(+.f32 (.f32 0 (.f32 (PI.f32) (/.f32 uy uy))) (.f32 uy (.f32 2 (PI.f32))))
(-.f32 (.f32 uy (.f32 2 (PI.f32))) 0)
(-.f32 (.f32 0 (.f32 -2 uy)) (.f32 (.f32 -2 uy) (PI.f32)))
(-.f32 (.f32 0 (neg.f32 (PI.f32))) (.f32 (neg.f32 (PI.f32)) (+.f32 uy uy)))
(/.f32 (.f32 uy (.f32 2 (PI.f32))) 1)
(/.f32 (.f32 uy (.f32 2 (PI.f32))) (/.f32 uy uy))
(/.f32 (.f32 uy (.f32 2 (PI.f32))) (/.f32 (PI.f32) (PI.f32)))
(/.f32 (.f32 uy (.f32 2 (PI.f32))) (/.f32 (.f32 uy (.f32 2 (PI.f32))) (.f32 uy (.f32 2 (PI.f32)))))
(/.f32 (.f32 uy (.f32 2 (PI.f32))) (/.f32 (.f32 (PI.f32) (/.f32 uy uy)) (.f32 (PI.f32) (/.f32 uy uy))))
(+.f32 (.f32 ux (-.f32 maxCos (.f32 ux maxCos))) (.f32 (.f32 ux (-.f32 maxCos (*.f32 ux maxCos))) (neg.f32 ux)))
(+.f32 (.f32 ux (-.f32 maxCos (.f32 ux maxCos))) (+.f32 (.f32 0 (neg.f32 (.f32 ux (-.f32 maxCos (.f32 ux maxCos))))) (.f32 (.f32 ux (-.f32 maxCos (.f32 ux maxCos))) (neg.f32 ux))))
(+.f32 (.f32 ux (-.f32 maxCos (.f32 ux maxCos))) (+.f32 (.f32 0 (.f32 (-.f32 1 ux) (/.f32 (.f32 ux (-.f32 maxCos (.f32 ux maxCos))) (.f32 ux (-.f32 maxCos (.f32 ux maxCos)))))) (.f32 (.f32 ux (-.f32 maxCos (*.f32 ux maxCos))) (neg.f32 ux))))
(+.f32 (.f32 (.f32 ux maxCos) (*.f32 (+.f32 ux -1) (+.f32 ux -1))) 0)
(+.f32 (.f32 (.f32 ux maxCos) (.f32 (+.f32 ux -1) (+.f32 ux -1))) (.f32 0 (neg.f32 (.f32 ux (-.f32 maxCos (.f32 ux maxCos))))))
(+.f32 (.f32 (.f32 ux maxCos) (.f32 (+.f32 ux -1) (+.f32 ux -1))) (.f32 0 (.f32 (-.f32 1 ux) (/.f32 (.f32 ux (-.f32 maxCos (.f32 ux maxCos))) (.f32 ux (-.f32 maxCos (*.f32 ux maxCos)))))))
(+.f32 0 (.f32 (.f32 ux maxCos) (*.f32 (+.f32 ux -1) (+.f32 ux -1))))
(+.f32 (.f32 (.f32 ux (-.f32 maxCos (.f32 ux maxCos))) (neg.f32 ux)) (.f32 ux (-.f32 maxCos (*.f32 ux maxCos))))
(+.f32 (.f32 (.f32 ux (-.f32 maxCos (.f32 ux maxCos))) (neg.f32 ux)) (+.f32 (.f32 0 (neg.f32 (.f32 ux (-.f32 maxCos (.f32 ux maxCos))))) (.f32 ux (-.f32 maxCos (.f32 ux maxCos)))))
(+.f32 (.f32 (.f32 ux (-.f32 maxCos (.f32 ux maxCos))) (neg.f32 ux)) (+.f32 (.f32 0 (.f32 (-.f32 1 ux) (/.f32 (.f32 ux (-.f32 maxCos (.f32 ux maxCos))) (.f32 ux (-.f32 maxCos (.f32 ux maxCos)))))) (.f32 ux (-.f32 maxCos (*.f32 ux maxCos)))))
(+.f32 (.f32 0 (.f32 ux maxCos)) (.f32 (.f32 ux maxCos) (*.f32 (+.f32 ux -1) (+.f32 ux -1))))
(+.f32 (.f32 0 (neg.f32 (.f32 ux (-.f32 maxCos (.f32 ux maxCos))))) (.f32 (.f32 ux maxCos) (.f32 (+.f32 ux -1) (+.f32 ux -1))))
(+.f32 (.f32 0 (.f32 (-.f32 1 ux) (.f32 maxCos (/.f32 ux ux)))) (.f32 (.f32 ux maxCos) (.f32 (+.f32 ux -1) (+.f32 ux -1))))
(+.f32 (.f32 0 (.f32 (-.f32 1 ux) (/.f32 (.f32 ux (-.f32 maxCos (.f32 ux maxCos))) (.f32 ux (-.f32 maxCos (.f32 ux maxCos)))))) (.f32 (.f32 ux maxCos) (*.f32 (+.f32 ux -1) (+.f32 ux -1))))
(-.f32 (.f32 ux (-.f32 maxCos (.f32 ux maxCos))) (.f32 (-.f32 1 ux) (.f32 ux (*.f32 ux maxCos))))
(-.f32 (.f32 (.f32 ux maxCos) (*.f32 (+.f32 ux -1) (+.f32 ux -1))) 0)
(-.f32 0 (.f32 (.f32 ux (-.f32 maxCos (*.f32 ux maxCos))) (+.f32 ux -1)))
(-.f32 (.f32 (.f32 ux (-.f32 maxCos (.f32 ux maxCos))) (neg.f32 ux)) (neg.f32 (.f32 ux (-.f32 maxCos (*.f32 ux maxCos)))))
(-.f32 (.f32 (.f32 ux (-.f32 maxCos (.f32 ux maxCos))) (neg.f32 ux)) (-.f32 (.f32 0 (neg.f32 (.f32 ux (-.f32 maxCos (.f32 ux maxCos))))) (.f32 ux (-.f32 maxCos (.f32 ux maxCos)))))
(-.f32 (.f32 0 (+.f32 ux -1)) (.f32 (+.f32 ux -1) (.f32 ux (-.f32 maxCos (.f32 ux maxCos)))))
(-.f32 (.f32 0 (neg.f32 (.f32 ux (-.f32 maxCos (.f32 ux maxCos))))) (.f32 (neg.f32 (.f32 ux (-.f32 maxCos (.f32 ux maxCos)))) (-.f32 1 ux)))
(/.f32 (.f32 (.f32 ux maxCos) (*.f32 (+.f32 ux -1) (+.f32 ux -1))) 1)
(/.f32 (.f32 (.f32 ux maxCos) (*.f32 (+.f32 ux -1) (+.f32 ux -1))) (/.f32 ux ux))
(/.f32 (.f32 (.f32 ux maxCos) (*.f32 (+.f32 ux -1) (+.f32 ux -1))) (/.f32 (+.f32 ux -1) (+.f32 ux -1)))
(/.f32 (.f32 (.f32 ux maxCos) (.f32 (+.f32 ux -1) (+.f32 ux -1))) (/.f32 (.f32 ux (-.f32 maxCos (.f32 ux maxCos))) (.f32 ux (-.f32 maxCos (*.f32 ux maxCos)))))
(/.f32 (.f32 (.f32 ux maxCos) (.f32 (+.f32 ux -1) (+.f32 ux -1))) (/.f32 (-.f32 maxCos (.f32 ux maxCos)) (-.f32 maxCos (*.f32 ux maxCos))))
(/.f32 (.f32 (.f32 ux maxCos) (.f32 (+.f32 ux -1) (+.f32 ux -1))) (/.f32 (.f32 (.f32 ux maxCos) (.f32 (+.f32 ux -1) (+.f32 ux -1))) (.f32 (.f32 ux maxCos) (*.f32 (+.f32 ux -1) (+.f32 ux -1)))))
(/.f32 (.f32 (.f32 ux maxCos) (.f32 (+.f32 ux -1) (+.f32 ux -1))) (/.f32 (.f32 (-.f32 1 ux) (/.f32 (.f32 ux (-.f32 maxCos (.f32 ux maxCos))) (.f32 ux (-.f32 maxCos (.f32 ux maxCos))))) (.f32 (-.f32 1 ux) (/.f32 (.f32 ux (-.f32 maxCos (.f32 ux maxCos))) (.f32 ux (-.f32 maxCos (*.f32 ux maxCos)))))))
(neg.f32 (.f32 (.f32 ux (-.f32 maxCos (*.f32 ux maxCos))) (+.f32 ux -1)))
(+.f32 (.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) yi) 0)
(+.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi) (.f32 0 (.f32 yi (/.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) (sin.f32 (.f32 uy (*.f32 2 (PI.f32))))))))
(+.f32 0 (.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) yi))
(+.f32 (.f32 0 (.f32 yi (/.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) (sin.f32 (.f32 uy (.f32 2 (PI.f32))))))) (.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) yi))
(-.f32 (.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) yi) 0)
(-.f32 (.f32 0 (neg.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))))) (.f32 (neg.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32))))) yi))
(-.f32 (.f32 0 (neg.f32 yi)) (.f32 (neg.f32 yi) (sin.f32 (.f32 uy (.f32 2 (PI.f32))))))
(/.f32 (.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) yi) 1)
(/.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi) (/.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) (sin.f32 (.f32 uy (*.f32 2 (PI.f32))))))
(/.f32 (.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) yi) (/.f32 yi yi))
(/.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi) (/.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi) (.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) yi)))
(/.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi) (/.f32 (.f32 yi (/.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) (sin.f32 (.f32 uy (.f32 2 (PI.f32)))))) (.f32 yi (/.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) (sin.f32 (.f32 uy (*.f32 2 (PI.f32))))))))

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

localize159.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 245 to 93 computations (62% saved)

series4.0ms (0%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	maxCos	@	-inf	(.f32 ux (-.f32 maxCos (.f32 ux maxCos)))
1.0ms	maxCos	@	inf	(.f32 ux (-.f32 maxCos (.f32 ux maxCos)))
0.0ms	ux	@	-inf	(.f32 ux (-.f32 maxCos (.f32 ux maxCos)))
0.0ms	ux	@	inf	(.f32 ux (-.f32 maxCos (.f32 ux maxCos)))
0.0ms	ux	@	0	(.f32 ux (-.f32 maxCos (.f32 ux maxCos)))

rewrite168.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1046×	`rational_best_oopsla_all_46_json_45_simplify-13`
1002×	`rational_best_oopsla_all_46_json_45_simplify-23`
932×	`rational_best_oopsla_all_46_json_45_simplify-37`
914×	`rational_best_oopsla_all_46_json-2`
914×	`rational_best_oopsla_all_46_json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	78
1	116	78
2	431	78
3	2052	78

Stop Event

1×	node limit

Counts

4 → 170

Calls

Call 1

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

Outputs
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((x +.f32 (.f32 2 (.f32 uy (PI.f32))) (.f32 (neg.f32 (neg.f32 uy)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 2 (.f32 uy (PI.f32))))))) (#(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 0 (.f32 uy (/.f32 (PI.f32) (PI.f32)))) (.f32 2 (.f32 uy (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 0 (neg.f32 (neg.f32 uy))) (.f32 2 (.f32 uy (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 0 (+.f32 uy uy)) (.f32 2 (.f32 uy (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 0 (.f32 uy (/.f32 (.f32 2 (PI.f32)) uy))) (.f32 2 (.f32 uy (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 0 (.f32 (/.f32 uy uy) (.f32 (PI.f32) (.f32 2 (/.f32 uy uy))))) (.f32 2 (.f32 uy (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 0 (/.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32)))) (.f32 2 (.f32 uy (PI.f32))))))) (#(struct:change 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(2) ((x -.f32 (.f32 0 (neg.f32 (neg.f32 uy))) (.f32 uy (.f32 (PI.f32) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 0 (/.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32)))) (.f32 (/.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32))) (.f32 uy (.f32 (PI.f32) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 uy (PI.f32))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 uy (PI.f32))) (/.f32 uy uy))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 uy (PI.f32))) (/.f32 (PI.f32) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 uy (PI.f32))) (/.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 uy (PI.f32))) (/.f32 (/.f32 uy uy) (/.f32 uy uy)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 uy (PI.f32))) (/.f32 (.f32 (PI.f32) (.f32 2 (/.f32 uy uy))) (.f32 (PI.f32) (.f32 2 (/.f32 uy uy)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 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simplify138.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1522×	`rational_best_oopsla_all_46_json_45_simplify-13`
1208×	`rational_best_oopsla_all_46_json_45_simplify-89`
1184×	`rational_best_oopsla_all_46_json_45_simplify-7`
1036×	`rational_best_oopsla_all_46_json_45_simplify-24`
916×	`rational_best_oopsla_all_46_json_45_simplify-74`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	401	7342
1	1468	7208
2	5706	7204

Stop Event

1×	node limit

Counts

242 → 260

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 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))
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(-.f32 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) yi) (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) yi) (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) yi)) 0))
(-.f32 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) yi) (.f32 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (sin.f32 (.f32 2 (.f32 uy (PI.f32))))) (.f32 yi (/.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (sin.f32 (.f32 2 (.f32 uy (PI.f32))))))) 0))
(-.f32 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) yi) (.f32 (.f32 (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))) (/.f32 yi yi)) 0))
(-.f32 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) yi) (.f32 (.f32 (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))) yi) 0))
(-.f32 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) yi) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (/.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))) 0))
(-.f32 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) yi) (.f32 (neg.f32 (.f32 yi (/.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (sin.f32 (.f32 2 (*.f32 uy (PI.f32))))))) 0))
(-.f32 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) yi) (.f32 (neg.f32 (neg.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))))) 0))
(-.f32 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) yi) (.f32 (neg.f32 (neg.f32 yi)) 0))
(-.f32 0 (.f32 (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))) (neg.f32 yi)))
(-.f32 0 (.f32 1 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (neg.f32 yi))))
(-.f32 0 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (sin.f32 (.f32 2 (.f32 uy (PI.f32))))) (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (neg.f32 yi))))
(-.f32 0 (.f32 -1 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) yi)))
(-.f32 0 (.f32 (neg.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32))))) (.f32 yi (/.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (sin.f32 (.f32 2 (.f32 uy (PI.f32))))))))
(-.f32 0 (.f32 (neg.f32 (.f32 yi (/.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 (.f32 0 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) yi) (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) yi))) (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) yi) (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) yi)) (.f32 (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))) (neg.f32 yi))))
(/.f32 (.f32 (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))) yi) 1)
(/.f32 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) yi) (/.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (sin.f32 (.f32 2 (*.f32 uy (PI.f32))))))
(/.f32 (.f32 (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))) yi) (/.f32 yi yi))
(/.f32 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) yi) (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) yi) (.f32 (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))) yi)))
(/.f32 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) yi) (/.f32 (/.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (sin.f32 (.f32 2 (.f32 uy (PI.f32))))) (/.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))))
(/.f32 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) yi) (/.f32 (.f32 yi (/.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (sin.f32 (.f32 2 (.f32 uy (PI.f32)))))) (.f32 yi (/.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (sin.f32 (.f32 2 (*.f32 uy (PI.f32))))))))
(/.f32 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) yi) (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (/.f32 yi (sin.f32 (.f32 2 (.f32 uy (PI.f32)))))) (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (/.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32))))))))
(/.f32 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) yi) (/.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) yi) (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) yi)) (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) yi) (.f32 (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))) yi))))
(/.f32 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) yi) (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (/.f32 yi yi)) (.f32 (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))) (/.f32 yi yi))))
(/.f32 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) yi) (/.f32 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (sin.f32 (.f32 2 (.f32 uy (PI.f32))))) (.f32 yi (/.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (sin.f32 (.f32 2 (.f32 uy (PI.f32))))))) (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (sin.f32 (.f32 2 (.f32 uy (PI.f32))))) (.f32 yi (/.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))))))
(/.f32 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) yi) (/.f32 (neg.f32 (neg.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))))) (neg.f32 (neg.f32 (sin.f32 (.f32 2 (*.f32 uy (PI.f32))))))))
(/.f32 (.f32 (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))) yi) (/.f32 (neg.f32 (neg.f32 yi)) (neg.f32 (neg.f32 yi))))
(+.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) 0)
(+.f32 0 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))))
(-.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) 0)
(-.f32 0 (neg.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32))))))
(-.f32 0 (.f32 (neg.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32))))) (/.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))))
(.f32 (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))) 1)
(.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (/.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (sin.f32 (.f32 2 (*.f32 uy (PI.f32))))))
(.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (/.f32 1 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))))))
(.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (sin.f32 (.f32 2 (.f32 uy (PI.f32))))) (/.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (sin.f32 (.f32 2 (.f32 uy (PI.f32)))))))
(.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (/.f32 (/.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 1 (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 (/.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 (/.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (sin.f32 (.f32 2 (.f32 uy (PI.f32))))) (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (/.f32 1 (/.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (sin.f32 (.f32 2 (.f32 uy (PI.f32))))))))
(.f32 (/.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (sin.f32 (.f32 2 (.f32 uy (PI.f32))))) (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (/.f32 (/.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (sin.f32 (.f32 2 (.f32 uy (PI.f32))))) (/.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (sin.f32 (.f32 2 (.f32 uy (PI.f32))))))))
(.f32 -1 (neg.f32 (sin.f32 (.f32 2 (*.f32 uy (PI.f32))))))
(.f32 (neg.f32 (sin.f32 (.f32 2 (*.f32 uy (PI.f32))))) -1)
(.f32 (neg.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32))))) (neg.f32 (/.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (/.f32 1 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))))) (sin.f32 (.f32 2 (.f32 uy (PI.f32)))))
(.f32 (neg.f32 (/.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (sin.f32 (.f32 2 (.f32 uy (PI.f32)))))) (neg.f32 (sin.f32 (.f32 2 (*.f32 uy (PI.f32))))))
(.f32 (neg.f32 (neg.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))))) (/.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (sin.f32 (.f32 2 (*.f32 uy (PI.f32))))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (sin.f32 (.f32 2 (.f32 uy (PI.f32))))) (/.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 2 (.f32 uy (PI.f32)))) 1)
(/.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (/.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (sin.f32 (.f32 2 (.f32 uy (PI.f32))))))
(/.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (/.f32 (/.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (sin.f32 (.f32 2 (.f32 uy (PI.f32))))) (/.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (sin.f32 (.f32 2 (.f32 uy (PI.f32)))))))

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

localize220.0ms (1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 333 to 218 computations (34.5% saved)

series14.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	uy	@	0	(.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)
2.0ms	maxCos	@	0	(.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)
1.0ms	yi	@	0	(.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)
1.0ms	uy	@	inf	(.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)
1.0ms	ux	@	inf	(.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)

rewrite71.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1600×	`rational_best_oopsla_all_46_json-2`
1600×	`rational_best_oopsla_all_46_json-1`
1600×	`rational_best_oopsla_all_46_json-4`
1600×	`rational_best_oopsla_all_46_json-3`
1226×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	145
1	148	145
2	585	145
3	3499	145

Stop Event

1×	node limit

Counts

3 → 46

Calls

Call 1

Inputs

(*.f32 (*.f32 (-.f32 1 ux) maxCos) ux)

(*.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) (*.f32 (*.f32 (-.f32 1 ux) maxCos) ux))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))) (*.f32 0 (*.f32 ux (/.f32 (-.f32 maxCos (*.f32 ux maxCos)) (-.f32 maxCos (*.f32 ux maxCos))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (*.f32 ux (/.f32 (-.f32 maxCos (*.f32 ux maxCos)) (-.f32 maxCos (*.f32 ux maxCos))))) (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 ux maxCos) (*.f32 ux (*.f32 ux maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 maxCos (*.f32 ux (/.f32 (-.f32 maxCos (*.f32 ux maxCos)) (-.f32 maxCos (*.f32 ux maxCos))))) (*.f32 (*.f32 ux (/.f32 (-.f32 maxCos (*.f32 ux maxCos)) (-.f32 maxCos (*.f32 ux maxCos)))) (*.f32 ux maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 0 (neg.f32 ux)) (*.f32 (neg.f32 ux) (-.f32 maxCos (*.f32 ux maxCos))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 0 (-.f32 (*.f32 ux maxCos) maxCos)) (*.f32 (-.f32 (*.f32 ux maxCos) maxCos) ux))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))) (/.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))) (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))) (/.f32 (-.f32 maxCos (*.f32 ux maxCos)) (-.f32 maxCos (*.f32 ux maxCos))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))) (/.f32 (-.f32 1 ux) (-.f32 1 ux)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))) (/.f32 maxCos maxCos))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))) (/.f32 ux ux))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))) (/.f32 (*.f32 ux (/.f32 (-.f32 maxCos (*.f32 ux maxCos)) (-.f32 maxCos (*.f32 ux maxCos)))) (*.f32 ux (/.f32 (-.f32 maxCos (*.f32 ux maxCos)) (-.f32 maxCos (*.f32 ux maxCos))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))) (/.f32 (/.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))) (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos)))) (/.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))) (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))))))))))

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

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (-.f32 1 ux) (*.f32 (*.f32 maxCos (*.f32 ux (*.f32 ux (-.f32 1 ux)))) maxCos)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (-.f32 1 ux) (*.f32 (*.f32 maxCos (*.f32 ux (*.f32 ux (-.f32 1 ux)))) maxCos)) (*.f32 0 (*.f32 maxCos (*.f32 ux (*.f32 ux (-.f32 1 ux))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (-.f32 1 ux) (*.f32 (*.f32 maxCos (*.f32 ux (*.f32 ux (-.f32 1 ux)))) maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (*.f32 maxCos (*.f32 ux (*.f32 ux (-.f32 1 ux))))) (*.f32 (-.f32 1 ux) (*.f32 (*.f32 maxCos (*.f32 ux (*.f32 ux (-.f32 1 ux)))) maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (-.f32 1 ux) (*.f32 (*.f32 maxCos (*.f32 ux (*.f32 ux (-.f32 1 ux)))) maxCos)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 maxCos (*.f32 maxCos (*.f32 ux (*.f32 ux (-.f32 1 ux))))) (*.f32 (*.f32 maxCos (*.f32 ux (*.f32 ux (-.f32 1 ux)))) (*.f32 ux maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 0 (neg.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))))) (neg.f32 (*.f32 (-.f32 1 ux) (*.f32 (*.f32 maxCos (*.f32 ux (*.f32 ux (-.f32 1 ux)))) maxCos))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 1 ux) (*.f32 (*.f32 maxCos (*.f32 ux (*.f32 ux (-.f32 1 ux)))) maxCos)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 1 ux) (*.f32 (*.f32 maxCos (*.f32 ux (*.f32 ux (-.f32 1 ux)))) maxCos)) (/.f32 (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos))) (*.f32 ux (-.f32 maxCos (*.f32 ux maxCos)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 1 ux) (*.f32 (*.f32 maxCos (*.f32 ux (*.f32 ux (-.f32 1 ux)))) maxCos)) (/.f32 (-.f32 maxCos (*.f32 ux maxCos)) (-.f32 maxCos (*.f32 ux maxCos))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 1 ux) (*.f32 (*.f32 maxCos (*.f32 ux (*.f32 ux (-.f32 1 ux)))) maxCos)) (/.f32 ux ux))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 1 ux) (*.f32 (*.f32 maxCos (*.f32 ux (*.f32 ux (-.f32 1 ux)))) maxCos)) (/.f32 (*.f32 maxCos (*.f32 ux (*.f32 ux (-.f32 1 ux)))) (*.f32 maxCos (*.f32 ux (*.f32 ux (-.f32 1 ux))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (*.f32 (-.f32 1 ux) (*.f32 (*.f32 maxCos (*.f32 ux (*.f32 ux (-.f32 1 ux)))) maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (neg.f32 (*.f32 (-.f32 1 ux) (*.f32 (*.f32 maxCos (*.f32 ux (*.f32 ux (-.f32 1 ux)))) maxCos))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (-.f32 0 (neg.f32 (*.f32 (-.f32 1 ux) (*.f32 (*.f32 maxCos (*.f32 ux (*.f32 ux (-.f32 1 ux)))) maxCos)))))))))

simplify149.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1190×	`rational_best_oopsla_all_46_json_45_simplify-89`
1066×	`rational_best_oopsla_all_46_json_45_simplify-49`
988×	`rational_best_oopsla_all_46_json_45_simplify-24`
964×	`rational_best_oopsla_all_46_json_45_simplify-7`
934×	`rational_best_oopsla_all_46_json_45_simplify-23`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	308	10944
1	1183	10730
2	4856	10634

Stop Event

1×	node limit

Counts

142 → 208

Calls

Call 1

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

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

eval1.4s (6.4%)

Compiler: Compiled 88784 to 51583 computations (41.9% saved)

prune731.0ms (3.4%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	1231	15	1246
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	1235	15	1250

Error

0.3b

Counts

1250 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	2.3b	(+.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 2 (.f32 (.f32 yi (.f32 uy (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (pow.f32 (-.f32 1 ux) 2) (.f32 (pow.f32 ux 2) (pow.f32 maxCos 2))))))) (.f32 -4/3 (.f32 (sqrt.f32 (-.f32 1 (.f32 (pow.f32 (-.f32 1 ux) 2) (.f32 (pow.f32 ux 2) (pow.f32 maxCos 2))))) (.f32 (pow.f32 uy 3) (.f32 yi (pow.f32 (PI.f32) 3))))))) (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) zi))
	0.4b	(+.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 ux maxCos) (.f32 ux (.f32 ux maxCos))) zi))
▶	0.4b	(+.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 ux (-.f32 maxCos (*.f32 maxCos ux))) zi))
▶	0.5b	(+.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 yi (sin.f32 (.f32 2 (.f32 uy (PI.f32)))))) (.f32 (.f32 (*.f32 (-.f32 1 ux) maxCos) ux) zi))
▶	0.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 (pow.f32 ux 2) (neg.f32 maxCos)))))) (+.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 zi (.f32 ux maxCos))))
	1.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 ux (-.f32 maxCos (.f32 ux maxCos))))))) (+.f32 (+.f32 (.f32 yi (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 (pow.f32 uy 3)))) (+.f32 (.f32 yi (.f32 4/15 (.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5)))) (+.f32 (.f32 2 (.f32 (PI.f32) (.f32 yi uy))) (.f32 (.f32 yi (pow.f32 (PI.f32) 7)) (.f32 -8/315 (pow.f32 uy 7)))))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 zi (.f32 ux maxCos))))
	2.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 ux (-.f32 maxCos (.f32 ux maxCos))))))) (+.f32 (+.f32 (.f32 2 (.f32 (PI.f32) (.f32 yi uy))) (.f32 yi (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 (pow.f32 uy 3))))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 zi (.f32 ux maxCos))))
▶	2.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 ux (-.f32 maxCos (.f32 ux maxCos))))))) (+.f32 (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 (pow.f32 uy 3) (.f32 -4/3 (.f32 yi (pow.f32 (PI.f32) 3))))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 zi (.f32 ux maxCos))))
	2.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 ux (-.f32 maxCos (.f32 ux maxCos))))))) (+.f32 (.f32 (+.f32 (.f32 uy (.f32 2 (PI.f32))) (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 (pow.f32 uy 3)))) yi) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 zi (*.f32 ux maxCos))))
	0.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 ux (-.f32 maxCos (.f32 ux maxCos))))))) (+.f32 (.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (/.f32 1 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))))) (sin.f32 (.f32 2 (.f32 uy (PI.f32))))) yi) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 zi (*.f32 ux maxCos))))
	3.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 ux (-.f32 maxCos (.f32 ux maxCos))))))) (+.f32 (.f32 2 (.f32 (PI.f32) (.f32 yi uy))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 zi (*.f32 ux maxCos))))
▶	3.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 ux (-.f32 maxCos (.f32 ux maxCos))))))) (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 zi (*.f32 ux maxCos))))
	0.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 maxCos ux))))) (+.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 zi (.f32 ux maxCos))))
	3.4b	(+.f32 (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 maxCos (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (-.f32 1 ux)))))) xi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 maxCos (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (-.f32 1 ux)))))) (.f32 2 (.f32 (PI.f32) (.f32 uy yi)))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 zi maxCos)))))
	3.4b	(+.f32 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) uy))) (.f32 xi (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))))) (+.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 zi ux)) (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 uy (.f32 (PI.f32) (*.f32 2 yi))))))

Compiler

Compiled 1952 to 1308 computations (33% saved)

localize239.0ms (1.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 348 to 212 computations (39.1% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite118.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

764×	`rational_best_oopsla_all_46_json_45_simplify-80`
740×	`rational_best_oopsla_all_46_json_45_simplify-35`
678×	`rational_best_oopsla_all_46_json_45_simplify-36`
658×	`rational_best_oopsla_all_46_json_45_simplify-89`
636×	`rational_best_oopsla_all_46_json_45_simplify-93`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	53	19
2	227	19
3	1108	19
4	5184	19

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 ux maxCos) (*.f32 ux (*.f32 ux (neg.f32 maxCos))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 ux (*.f32 maxCos (-.f32 1 ux))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 ux (*.f32 maxCos (-.f32 1 ux))) (*.f32 0 (/.f32 (*.f32 ux (*.f32 maxCos (-.f32 1 ux))) (*.f32 ux (*.f32 maxCos (-.f32 1 ux))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 ux (*.f32 maxCos (-.f32 1 ux))) (*.f32 0 (*.f32 ux (/.f32 (*.f32 maxCos (-.f32 1 ux)) (*.f32 maxCos (-.f32 1 ux))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 ux (*.f32 maxCos (-.f32 1 ux))) (*.f32 0 (*.f32 ux (/.f32 (*.f32 maxCos (-.f32 1 ux)) ux))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 ux (*.f32 maxCos (-.f32 1 ux))) (*.f32 0 (*.f32 (/.f32 ux ux) (*.f32 (*.f32 maxCos (-.f32 1 ux)) (/.f32 ux ux)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 ux (*.f32 maxCos (-.f32 1 ux))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 ux (*.f32 ux (neg.f32 maxCos))) (*.f32 ux maxCos))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 ux maxCos) (/.f32 ux ux)) (*.f32 (/.f32 ux ux) (*.f32 ux (*.f32 ux (neg.f32 maxCos)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 ux maxCos) (/.f32 (*.f32 ux (*.f32 maxCos (-.f32 1 ux))) (*.f32 ux (*.f32 maxCos (-.f32 1 ux))))) (*.f32 (/.f32 (*.f32 ux (*.f32 maxCos (-.f32 1 ux))) (*.f32 ux (*.f32 maxCos (-.f32 1 ux)))) (*.f32 ux (*.f32 ux (neg.f32 maxCos)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (/.f32 (*.f32 ux (*.f32 maxCos (-.f32 1 ux))) (*.f32 ux (*.f32 maxCos (-.f32 1 ux))))) (*.f32 ux (*.f32 maxCos (-.f32 1 ux))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 maxCos (*.f32 ux (/.f32 (*.f32 maxCos (-.f32 1 ux)) (*.f32 maxCos (-.f32 1 ux))))) (*.f32 (*.f32 ux (/.f32 (*.f32 maxCos (-.f32 1 ux)) (*.f32 maxCos (-.f32 1 ux)))) (*.f32 ux (neg.f32 maxCos))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (*.f32 ux (/.f32 (*.f32 maxCos (-.f32 1 ux)) (*.f32 maxCos (-.f32 1 ux))))) (*.f32 ux (*.f32 maxCos (-.f32 1 ux))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (*.f32 ux (/.f32 (*.f32 maxCos (-.f32 1 ux)) ux))) (*.f32 ux (*.f32 maxCos (-.f32 1 ux))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (*.f32 (/.f32 ux ux) (*.f32 (*.f32 maxCos (-.f32 1 ux)) (/.f32 ux ux)))) (*.f32 ux (*.f32 maxCos (-.f32 1 ux))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 ux ux) (*.f32 ux (*.f32 ux (neg.f32 maxCos)))) (*.f32 (*.f32 ux maxCos) (/.f32 ux ux)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (*.f32 ux (*.f32 maxCos (-.f32 1 ux))) (*.f32 ux (*.f32 maxCos (-.f32 1 ux)))) (*.f32 ux (*.f32 ux (neg.f32 maxCos)))) (*.f32 (*.f32 ux maxCos) (/.f32 (*.f32 ux (*.f32 maxCos (-.f32 1 ux))) (*.f32 ux (*.f32 maxCos (-.f32 1 ux))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 ux (/.f32 (*.f32 maxCos (-.f32 1 ux)) (*.f32 maxCos (-.f32 1 ux)))) (*.f32 ux (neg.f32 maxCos))) (*.f32 maxCos (*.f32 ux (/.f32 (*.f32 maxCos (-.f32 1 ux)) (*.f32 maxCos (-.f32 1 ux))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 ux maxCos) (*.f32 maxCos (*.f32 ux ux)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 ux (*.f32 maxCos (-.f32 1 ux))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 maxCos (-.f32 (*.f32 ux ux) ux)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 (/.f32 ux ux) (*.f32 maxCos (-.f32 (*.f32 ux ux) ux))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 -1 (*.f32 ux (*.f32 maxCos (-.f32 1 ux)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 (*.f32 (/.f32 ux ux) (-.f32 (*.f32 ux maxCos) maxCos)) ux))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (-.f32 (*.f32 (*.f32 ux maxCos) (neg.f32 (/.f32 ux ux))) (*.f32 (*.f32 maxCos (*.f32 ux ux)) (neg.f32 (/.f32 ux ux)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 ux (*.f32 ux (neg.f32 maxCos))) (*.f32 ux (neg.f32 maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (*.f32 ux maxCos) (/.f32 ux ux)) (*.f32 (/.f32 ux ux) (*.f32 maxCos (*.f32 ux ux))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (*.f32 maxCos (*.f32 ux ux)) (neg.f32 (/.f32 ux ux))) (*.f32 (*.f32 ux maxCos) (neg.f32 (/.f32 ux ux))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (*.f32 ux maxCos) (/.f32 (*.f32 ux (*.f32 maxCos (-.f32 1 ux))) (*.f32 ux (*.f32 maxCos (-.f32 1 ux))))) (*.f32 (/.f32 (*.f32 ux (*.f32 maxCos (-.f32 1 ux))) (*.f32 ux (*.f32 maxCos (-.f32 1 ux)))) (*.f32 maxCos (*.f32 ux ux))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 0 (/.f32 (*.f32 ux (*.f32 maxCos (-.f32 1 ux))) (*.f32 ux (*.f32 maxCos (-.f32 1 ux))))) (*.f32 (/.f32 (*.f32 ux (*.f32 maxCos (-.f32 1 ux))) (*.f32 ux (*.f32 maxCos (-.f32 1 ux)))) (*.f32 maxCos (-.f32 (*.f32 ux ux) ux))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (*.f32 maxCos (*.f32 ux ux)) (neg.f32 (/.f32 (*.f32 ux (*.f32 maxCos (-.f32 1 ux))) (*.f32 ux (*.f32 maxCos (-.f32 1 ux)))))) (*.f32 (/.f32 (*.f32 ux (*.f32 maxCos (-.f32 1 ux))) (*.f32 ux (*.f32 maxCos (-.f32 1 ux)))) (*.f32 ux (neg.f32 maxCos))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 maxCos (*.f32 ux (/.f32 (*.f32 maxCos (-.f32 1 ux)) (*.f32 maxCos (-.f32 1 ux))))) (*.f32 (*.f32 ux (/.f32 (*.f32 maxCos (-.f32 1 ux)) (*.f32 maxCos (-.f32 1 ux)))) (*.f32 ux maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 0 (*.f32 ux (/.f32 (*.f32 maxCos (-.f32 1 ux)) (*.f32 maxCos (-.f32 1 ux))))) (*.f32 (*.f32 ux (/.f32 (*.f32 maxCos (-.f32 1 ux)) (*.f32 maxCos (-.f32 1 ux)))) (-.f32 (*.f32 ux maxCos) maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (*.f32 ux (/.f32 maxCos maxCos)) (*.f32 ux (neg.f32 maxCos))) (*.f32 ux (neg.f32 maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 ux (*.f32 maxCos (-.f32 1 ux))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 ux (*.f32 maxCos (-.f32 1 ux))) (/.f32 maxCos maxCos))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 ux (*.f32 maxCos (-.f32 1 ux))) (/.f32 ux ux))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 ux (*.f32 maxCos (-.f32 1 ux))) (/.f32 (*.f32 ux maxCos) (*.f32 ux maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 ux (*.f32 maxCos (-.f32 1 ux))) (/.f32 (*.f32 maxCos (-.f32 1 ux)) (*.f32 maxCos (-.f32 1 ux))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 ux (*.f32 maxCos (-.f32 1 ux))) (/.f32 (*.f32 ux (*.f32 maxCos (-.f32 1 ux))) (*.f32 ux (*.f32 maxCos (-.f32 1 ux)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 ux (*.f32 maxCos (-.f32 1 ux))) (/.f32 (*.f32 (*.f32 maxCos (-.f32 1 ux)) (/.f32 ux ux)) (*.f32 (*.f32 maxCos (-.f32 1 ux)) (/.f32 ux ux))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 ux (*.f32 maxCos (-.f32 1 ux))) (/.f32 (/.f32 ux ux) (/.f32 ux ux)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 ux (*.f32 maxCos (-.f32 1 ux))) (/.f32 (*.f32 ux (/.f32 (*.f32 maxCos (-.f32 1 ux)) ux)) (*.f32 ux (/.f32 (*.f32 maxCos (-.f32 1 ux)) ux))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 ux (*.f32 maxCos (-.f32 1 ux))) (/.f32 (/.f32 (*.f32 ux (*.f32 maxCos (-.f32 1 ux))) (*.f32 ux (*.f32 maxCos (-.f32 1 ux)))) (/.f32 (*.f32 ux (*.f32 maxCos (-.f32 1 ux))) (*.f32 ux (*.f32 maxCos (-.f32 1 ux))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 ux (*.f32 maxCos (-.f32 1 ux))) (/.f32 (*.f32 (/.f32 ux ux) (*.f32 (*.f32 maxCos (-.f32 1 ux)) (/.f32 ux ux))) (*.f32 (/.f32 ux ux) (*.f32 (*.f32 maxCos (-.f32 1 ux)) (/.f32 ux ux)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 ux (*.f32 maxCos (-.f32 1 ux))) (/.f32 (*.f32 ux (/.f32 (*.f32 maxCos (-.f32 1 ux)) (*.f32 maxCos (-.f32 1 ux)))) (*.f32 ux (/.f32 (*.f32 maxCos (-.f32 1 ux)) (*.f32 maxCos (-.f32 1 ux))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 maxCos (-.f32 (*.f32 ux ux) ux)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 maxCos (-.f32 (*.f32 ux ux) ux)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (/.f32 ux ux) (*.f32 maxCos (-.f32 (*.f32 ux ux) ux))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 -1 (*.f32 ux (*.f32 maxCos (-.f32 1 ux)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (*.f32 (/.f32 ux ux) (-.f32 (*.f32 ux maxCos) maxCos)) ux))))))

simplify107.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

986×	`rational_best_oopsla_all_46_json_45_simplify-36`
814×	`rational_best_oopsla_all_46_json_45_simplify-10`
788×	`rational_best_oopsla_all_46_json_45_simplify-30`
752×	`rational_best_oopsla_all_46_json_45_simplify-23`
610×	`rational_best_oopsla_all_46_json_45_simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	126	1665
1	465	1607
2	2128	1577
3	6033	1577

Stop Event

1×	node limit

Counts

75 → 68

Calls

Call 1

Inputs
(*.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 maxCos (.f32 ux (+.f32 (*.f32 -1 ux) 1)))
(.f32 maxCos (.f32 ux (+.f32 (*.f32 -1 ux) 1)))
(.f32 maxCos (.f32 ux (+.f32 (*.f32 -1 ux) 1)))
(.f32 maxCos (.f32 ux (+.f32 (*.f32 -1 ux) 1)))
(+.f32 (.f32 ux maxCos) (.f32 ux (*.f32 ux (neg.f32 maxCos))))
(+.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) 0)
(+.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (.f32 0 (/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (.f32 ux (*.f32 maxCos (-.f32 1 ux))))))
(+.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (.f32 0 (.f32 ux (/.f32 (.f32 maxCos (-.f32 1 ux)) (.f32 maxCos (-.f32 1 ux))))))
(+.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (.f32 0 (.f32 ux (/.f32 (*.f32 maxCos (-.f32 1 ux)) ux))))
(+.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (.f32 0 (.f32 (/.f32 ux ux) (.f32 (.f32 maxCos (-.f32 1 ux)) (/.f32 ux ux)))))
(+.f32 0 (.f32 ux (.f32 maxCos (-.f32 1 ux))))
(+.f32 (.f32 ux (.f32 ux (neg.f32 maxCos))) (*.f32 ux maxCos))
(+.f32 (.f32 (.f32 ux maxCos) (/.f32 ux ux)) (.f32 (/.f32 ux ux) (.f32 ux (*.f32 ux (neg.f32 maxCos)))))
(+.f32 (.f32 (.f32 ux maxCos) (/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (.f32 ux (.f32 maxCos (-.f32 1 ux))))) (.f32 (/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (.f32 ux (.f32 maxCos (-.f32 1 ux)))) (.f32 ux (*.f32 ux (neg.f32 maxCos)))))
(+.f32 (.f32 0 (/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (.f32 ux (.f32 maxCos (-.f32 1 ux))))) (.f32 ux (*.f32 maxCos (-.f32 1 ux))))
(+.f32 (.f32 maxCos (.f32 ux (/.f32 (.f32 maxCos (-.f32 1 ux)) (.f32 maxCos (-.f32 1 ux))))) (.f32 (.f32 ux (/.f32 (.f32 maxCos (-.f32 1 ux)) (.f32 maxCos (-.f32 1 ux)))) (*.f32 ux (neg.f32 maxCos))))
(+.f32 (.f32 0 (.f32 ux (/.f32 (.f32 maxCos (-.f32 1 ux)) (.f32 maxCos (-.f32 1 ux))))) (.f32 ux (.f32 maxCos (-.f32 1 ux))))
(+.f32 (.f32 0 (.f32 ux (/.f32 (.f32 maxCos (-.f32 1 ux)) ux))) (.f32 ux (*.f32 maxCos (-.f32 1 ux))))
(+.f32 (.f32 0 (.f32 (/.f32 ux ux) (.f32 (.f32 maxCos (-.f32 1 ux)) (/.f32 ux ux)))) (.f32 ux (.f32 maxCos (-.f32 1 ux))))
(+.f32 (.f32 (/.f32 ux ux) (.f32 ux (.f32 ux (neg.f32 maxCos)))) (.f32 (*.f32 ux maxCos) (/.f32 ux ux)))
(+.f32 (.f32 (/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (.f32 ux (.f32 maxCos (-.f32 1 ux)))) (.f32 ux (.f32 ux (neg.f32 maxCos)))) (.f32 (.f32 ux maxCos) (/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (.f32 ux (*.f32 maxCos (-.f32 1 ux))))))
(+.f32 (.f32 (.f32 ux (/.f32 (.f32 maxCos (-.f32 1 ux)) (.f32 maxCos (-.f32 1 ux)))) (.f32 ux (neg.f32 maxCos))) (.f32 maxCos (.f32 ux (/.f32 (.f32 maxCos (-.f32 1 ux)) (*.f32 maxCos (-.f32 1 ux))))))
(-.f32 (.f32 ux maxCos) (.f32 maxCos (*.f32 ux ux)))
(-.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) 0)
(-.f32 0 (.f32 maxCos (-.f32 (.f32 ux ux) ux)))
(-.f32 0 (.f32 (/.f32 ux ux) (.f32 maxCos (-.f32 (*.f32 ux ux) ux))))
(-.f32 0 (.f32 -1 (.f32 ux (*.f32 maxCos (-.f32 1 ux)))))
(-.f32 0 (.f32 (.f32 (/.f32 ux ux) (-.f32 (*.f32 ux maxCos) maxCos)) ux))
(-.f32 0 (-.f32 (.f32 (.f32 ux maxCos) (neg.f32 (/.f32 ux ux))) (.f32 (.f32 maxCos (*.f32 ux ux)) (neg.f32 (/.f32 ux ux)))))
(-.f32 (.f32 ux (.f32 ux (neg.f32 maxCos))) (*.f32 ux (neg.f32 maxCos)))
(-.f32 (.f32 (.f32 ux maxCos) (/.f32 ux ux)) (.f32 (/.f32 ux ux) (.f32 maxCos (*.f32 ux ux))))
(-.f32 (.f32 (.f32 maxCos (.f32 ux ux)) (neg.f32 (/.f32 ux ux))) (.f32 (*.f32 ux maxCos) (neg.f32 (/.f32 ux ux))))
(-.f32 (.f32 (.f32 ux maxCos) (/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (.f32 ux (.f32 maxCos (-.f32 1 ux))))) (.f32 (/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (.f32 ux (.f32 maxCos (-.f32 1 ux)))) (.f32 maxCos (*.f32 ux ux))))
(-.f32 (.f32 0 (/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (.f32 ux (.f32 maxCos (-.f32 1 ux))))) (.f32 (/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (.f32 ux (.f32 maxCos (-.f32 1 ux)))) (.f32 maxCos (-.f32 (.f32 ux ux) ux))))
(-.f32 (.f32 (.f32 maxCos (.f32 ux ux)) (neg.f32 (/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (.f32 ux (.f32 maxCos (-.f32 1 ux)))))) (.f32 (/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (.f32 ux (.f32 maxCos (-.f32 1 ux)))) (*.f32 ux (neg.f32 maxCos))))
(-.f32 (.f32 maxCos (.f32 ux (/.f32 (.f32 maxCos (-.f32 1 ux)) (.f32 maxCos (-.f32 1 ux))))) (.f32 (.f32 ux (/.f32 (.f32 maxCos (-.f32 1 ux)) (.f32 maxCos (-.f32 1 ux)))) (*.f32 ux maxCos)))
(-.f32 (.f32 0 (.f32 ux (/.f32 (.f32 maxCos (-.f32 1 ux)) (.f32 maxCos (-.f32 1 ux))))) (.f32 (.f32 ux (/.f32 (.f32 maxCos (-.f32 1 ux)) (.f32 maxCos (-.f32 1 ux)))) (-.f32 (*.f32 ux maxCos) maxCos)))
(-.f32 (.f32 (.f32 ux (/.f32 maxCos maxCos)) (.f32 ux (neg.f32 maxCos))) (.f32 ux (neg.f32 maxCos)))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) 1)
(/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (/.f32 maxCos maxCos))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (/.f32 ux ux))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (/.f32 (.f32 ux maxCos) (.f32 ux maxCos)))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (/.f32 (.f32 maxCos (-.f32 1 ux)) (.f32 maxCos (-.f32 1 ux))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (.f32 ux (.f32 maxCos (-.f32 1 ux)))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (/.f32 (.f32 (.f32 maxCos (-.f32 1 ux)) (/.f32 ux ux)) (.f32 (.f32 maxCos (-.f32 1 ux)) (/.f32 ux ux))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (/.f32 (/.f32 ux ux) (/.f32 ux ux)))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (/.f32 (.f32 ux (/.f32 (.f32 maxCos (-.f32 1 ux)) ux)) (.f32 ux (/.f32 (.f32 maxCos (-.f32 1 ux)) ux))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (/.f32 (/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (.f32 ux (.f32 maxCos (-.f32 1 ux)))) (/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (.f32 ux (.f32 maxCos (-.f32 1 ux))))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (/.f32 (.f32 (/.f32 ux ux) (.f32 (.f32 maxCos (-.f32 1 ux)) (/.f32 ux ux))) (.f32 (/.f32 ux ux) (.f32 (.f32 maxCos (-.f32 1 ux)) (/.f32 ux ux)))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (/.f32 (.f32 ux (/.f32 (.f32 maxCos (-.f32 1 ux)) (.f32 maxCos (-.f32 1 ux)))) (.f32 ux (/.f32 (.f32 maxCos (-.f32 1 ux)) (.f32 maxCos (-.f32 1 ux))))))
(/.f32 (.f32 maxCos (-.f32 (.f32 ux ux) ux)) -1)
(neg.f32 (.f32 maxCos (-.f32 (.f32 ux ux) ux)))
(neg.f32 (.f32 (/.f32 ux ux) (.f32 maxCos (-.f32 (*.f32 ux ux) ux))))
(neg.f32 (.f32 -1 (.f32 ux (*.f32 maxCos (-.f32 1 ux)))))
(neg.f32 (.f32 (.f32 (/.f32 ux ux) (-.f32 (*.f32 ux maxCos) maxCos)) ux))

Outputs
(*.f32 maxCos ux)
(+.f32 (.f32 -1 (.f32 maxCos (pow.f32 ux 2))) (*.f32 maxCos ux))
(+.f32 (.f32 maxCos (.f32 -1 (pow.f32 ux 2))) (*.f32 maxCos ux))
(.f32 maxCos (+.f32 ux (.f32 -1 (pow.f32 ux 2))))
(*.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 (.f32 -1 (pow.f32 ux 2))) (*.f32 maxCos ux))
(.f32 maxCos (+.f32 ux (.f32 -1 (pow.f32 ux 2))))
(*.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 (.f32 -1 (pow.f32 ux 2))) (*.f32 maxCos ux))
(.f32 maxCos (+.f32 ux (.f32 -1 (pow.f32 ux 2))))
(*.f32 maxCos (+.f32 ux (neg.f32 (pow.f32 ux 2))))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(.f32 maxCos (.f32 -1 (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 (.f32 -1 (pow.f32 ux 2))) (*.f32 maxCos ux))
(.f32 maxCos (+.f32 ux (.f32 -1 (pow.f32 ux 2))))
(*.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 (.f32 -1 (pow.f32 ux 2))) (*.f32 maxCos ux))
(.f32 maxCos (+.f32 ux (.f32 -1 (pow.f32 ux 2))))
(*.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 (.f32 -1 (pow.f32 ux 2))) (*.f32 maxCos ux))
(.f32 maxCos (+.f32 ux (.f32 -1 (pow.f32 ux 2))))
(*.f32 maxCos (+.f32 ux (neg.f32 (pow.f32 ux 2))))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(.f32 maxCos (.f32 -1 (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 (.f32 -1 (pow.f32 ux 2))) (*.f32 maxCos ux))
(.f32 maxCos (+.f32 ux (.f32 -1 (pow.f32 ux 2))))
(*.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 (.f32 -1 (pow.f32 ux 2))) (*.f32 maxCos ux))
(.f32 maxCos (+.f32 ux (.f32 -1 (pow.f32 ux 2))))
(*.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 (.f32 -1 (pow.f32 ux 2))) (*.f32 maxCos ux))
(.f32 maxCos (+.f32 ux (.f32 -1 (pow.f32 ux 2))))
(*.f32 maxCos (+.f32 ux (neg.f32 (pow.f32 ux 2))))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(.f32 maxCos (.f32 ux (+.f32 (*.f32 -1 ux) 1)))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(.f32 maxCos (.f32 ux (+.f32 (*.f32 -1 ux) 1)))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(.f32 maxCos (.f32 ux (+.f32 (*.f32 -1 ux) 1)))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(.f32 maxCos (.f32 ux (+.f32 (*.f32 -1 ux) 1)))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(+.f32 (.f32 ux maxCos) (.f32 ux (*.f32 ux (neg.f32 maxCos))))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(+.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) 0)
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(+.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (.f32 0 (/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (.f32 ux (*.f32 maxCos (-.f32 1 ux))))))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(+.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (.f32 0 (.f32 ux (/.f32 (.f32 maxCos (-.f32 1 ux)) (.f32 maxCos (-.f32 1 ux))))))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(+.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (.f32 0 (.f32 ux (/.f32 (*.f32 maxCos (-.f32 1 ux)) ux))))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(+.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (.f32 0 (.f32 (/.f32 ux ux) (.f32 (.f32 maxCos (-.f32 1 ux)) (/.f32 ux ux)))))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(+.f32 0 (.f32 ux (.f32 maxCos (-.f32 1 ux))))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(+.f32 (.f32 ux (.f32 ux (neg.f32 maxCos))) (*.f32 ux maxCos))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(+.f32 (.f32 (.f32 ux maxCos) (/.f32 ux ux)) (.f32 (/.f32 ux ux) (.f32 ux (*.f32 ux (neg.f32 maxCos)))))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(+.f32 (.f32 (.f32 ux maxCos) (/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (.f32 ux (.f32 maxCos (-.f32 1 ux))))) (.f32 (/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (.f32 ux (.f32 maxCos (-.f32 1 ux)))) (.f32 ux (*.f32 ux (neg.f32 maxCos)))))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(+.f32 (.f32 0 (/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (.f32 ux (.f32 maxCos (-.f32 1 ux))))) (.f32 ux (*.f32 maxCos (-.f32 1 ux))))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(+.f32 (.f32 maxCos (.f32 ux (/.f32 (.f32 maxCos (-.f32 1 ux)) (.f32 maxCos (-.f32 1 ux))))) (.f32 (.f32 ux (/.f32 (.f32 maxCos (-.f32 1 ux)) (.f32 maxCos (-.f32 1 ux)))) (*.f32 ux (neg.f32 maxCos))))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(+.f32 (.f32 0 (.f32 ux (/.f32 (.f32 maxCos (-.f32 1 ux)) (.f32 maxCos (-.f32 1 ux))))) (.f32 ux (.f32 maxCos (-.f32 1 ux))))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(+.f32 (.f32 0 (.f32 ux (/.f32 (.f32 maxCos (-.f32 1 ux)) ux))) (.f32 ux (*.f32 maxCos (-.f32 1 ux))))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(+.f32 (.f32 0 (.f32 (/.f32 ux ux) (.f32 (.f32 maxCos (-.f32 1 ux)) (/.f32 ux ux)))) (.f32 ux (.f32 maxCos (-.f32 1 ux))))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(+.f32 (.f32 (/.f32 ux ux) (.f32 ux (.f32 ux (neg.f32 maxCos)))) (.f32 (*.f32 ux maxCos) (/.f32 ux ux)))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(+.f32 (.f32 (/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (.f32 ux (.f32 maxCos (-.f32 1 ux)))) (.f32 ux (.f32 ux (neg.f32 maxCos)))) (.f32 (.f32 ux maxCos) (/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (.f32 ux (*.f32 maxCos (-.f32 1 ux))))))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(+.f32 (.f32 (.f32 ux (/.f32 (.f32 maxCos (-.f32 1 ux)) (.f32 maxCos (-.f32 1 ux)))) (.f32 ux (neg.f32 maxCos))) (.f32 maxCos (.f32 ux (/.f32 (.f32 maxCos (-.f32 1 ux)) (*.f32 maxCos (-.f32 1 ux))))))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(-.f32 (.f32 ux maxCos) (.f32 maxCos (*.f32 ux ux)))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(-.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) 0)
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(-.f32 0 (.f32 maxCos (-.f32 (.f32 ux ux) ux)))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(-.f32 0 (.f32 (/.f32 ux ux) (.f32 maxCos (-.f32 (*.f32 ux ux) ux))))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(-.f32 0 (.f32 -1 (.f32 ux (*.f32 maxCos (-.f32 1 ux)))))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(-.f32 0 (.f32 (.f32 (/.f32 ux ux) (-.f32 (*.f32 ux maxCos) maxCos)) ux))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(-.f32 0 (-.f32 (.f32 (.f32 ux maxCos) (neg.f32 (/.f32 ux ux))) (.f32 (.f32 maxCos (*.f32 ux ux)) (neg.f32 (/.f32 ux ux)))))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(-.f32 (.f32 ux (.f32 ux (neg.f32 maxCos))) (*.f32 ux (neg.f32 maxCos)))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(-.f32 (.f32 (.f32 ux maxCos) (/.f32 ux ux)) (.f32 (/.f32 ux ux) (.f32 maxCos (*.f32 ux ux))))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(-.f32 (.f32 (.f32 maxCos (.f32 ux ux)) (neg.f32 (/.f32 ux ux))) (.f32 (*.f32 ux maxCos) (neg.f32 (/.f32 ux ux))))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(-.f32 (.f32 (.f32 ux maxCos) (/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (.f32 ux (.f32 maxCos (-.f32 1 ux))))) (.f32 (/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (.f32 ux (.f32 maxCos (-.f32 1 ux)))) (.f32 maxCos (*.f32 ux ux))))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(-.f32 (.f32 0 (/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (.f32 ux (.f32 maxCos (-.f32 1 ux))))) (.f32 (/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (.f32 ux (.f32 maxCos (-.f32 1 ux)))) (.f32 maxCos (-.f32 (.f32 ux ux) ux))))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(-.f32 (.f32 (.f32 maxCos (.f32 ux ux)) (neg.f32 (/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (.f32 ux (.f32 maxCos (-.f32 1 ux)))))) (.f32 (/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (.f32 ux (.f32 maxCos (-.f32 1 ux)))) (*.f32 ux (neg.f32 maxCos))))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(-.f32 (.f32 maxCos (.f32 ux (/.f32 (.f32 maxCos (-.f32 1 ux)) (.f32 maxCos (-.f32 1 ux))))) (.f32 (.f32 ux (/.f32 (.f32 maxCos (-.f32 1 ux)) (.f32 maxCos (-.f32 1 ux)))) (*.f32 ux maxCos)))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(-.f32 (.f32 0 (.f32 ux (/.f32 (.f32 maxCos (-.f32 1 ux)) (.f32 maxCos (-.f32 1 ux))))) (.f32 (.f32 ux (/.f32 (.f32 maxCos (-.f32 1 ux)) (.f32 maxCos (-.f32 1 ux)))) (-.f32 (*.f32 ux maxCos) maxCos)))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(-.f32 (.f32 (.f32 ux (/.f32 maxCos maxCos)) (.f32 ux (neg.f32 maxCos))) (.f32 ux (neg.f32 maxCos)))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) 1)
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (/.f32 maxCos maxCos))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (/.f32 ux ux))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (/.f32 (.f32 ux maxCos) (.f32 ux maxCos)))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (/.f32 (.f32 maxCos (-.f32 1 ux)) (.f32 maxCos (-.f32 1 ux))))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (.f32 ux (.f32 maxCos (-.f32 1 ux)))))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (/.f32 (.f32 (.f32 maxCos (-.f32 1 ux)) (/.f32 ux ux)) (.f32 (.f32 maxCos (-.f32 1 ux)) (/.f32 ux ux))))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (/.f32 (/.f32 ux ux) (/.f32 ux ux)))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (/.f32 (.f32 ux (/.f32 (.f32 maxCos (-.f32 1 ux)) ux)) (.f32 ux (/.f32 (.f32 maxCos (-.f32 1 ux)) ux))))
(/.f32 (.f32 maxCos (.f32 ux (-.f32 1 ux))) (/.f32 (.f32 ux (/.f32 (.f32 maxCos (-.f32 1 ux)) ux)) (.f32 ux (/.f32 (.f32 maxCos (-.f32 1 ux)) ux))))
(/.f32 (.f32 maxCos (-.f32 ux (.f32 ux ux))) (/.f32 (.f32 ux (/.f32 (.f32 maxCos (-.f32 1 ux)) ux)) (.f32 ux (/.f32 (.f32 maxCos (-.f32 1 ux)) ux))))
(/.f32 (.f32 maxCos (-.f32 ux (.f32 ux ux))) (/.f32 (.f32 ux (/.f32 (-.f32 maxCos (.f32 maxCos ux)) ux)) (.f32 ux (/.f32 (-.f32 maxCos (.f32 maxCos ux)) ux))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (/.f32 (/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (.f32 ux (.f32 maxCos (-.f32 1 ux)))) (/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (.f32 ux (.f32 maxCos (-.f32 1 ux))))))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (/.f32 (.f32 (/.f32 ux ux) (.f32 (.f32 maxCos (-.f32 1 ux)) (/.f32 ux ux))) (.f32 (/.f32 ux ux) (.f32 (.f32 maxCos (-.f32 1 ux)) (/.f32 ux ux)))))
(/.f32 (.f32 maxCos (.f32 ux (-.f32 1 ux))) (/.f32 (.f32 (.f32 maxCos (-.f32 1 ux)) (.f32 (/.f32 ux ux) (/.f32 ux ux))) (.f32 (.f32 maxCos (-.f32 1 ux)) (.f32 (/.f32 ux ux) (/.f32 ux ux)))))
(/.f32 (.f32 maxCos (-.f32 ux (.f32 ux ux))) (/.f32 (.f32 (/.f32 ux ux) (.f32 maxCos (.f32 (/.f32 ux ux) (-.f32 1 ux)))) (.f32 (/.f32 ux ux) (.f32 maxCos (.f32 (/.f32 ux ux) (-.f32 1 ux))))))
(/.f32 (.f32 maxCos (-.f32 ux (.f32 ux ux))) (/.f32 (.f32 (/.f32 ux ux) (.f32 maxCos (-.f32 (/.f32 ux ux) ux))) (.f32 (/.f32 ux ux) (.f32 maxCos (-.f32 (/.f32 ux ux) ux)))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 1 ux))) (/.f32 (.f32 ux (/.f32 (.f32 maxCos (-.f32 1 ux)) (.f32 maxCos (-.f32 1 ux)))) (.f32 ux (/.f32 (.f32 maxCos (-.f32 1 ux)) (.f32 maxCos (-.f32 1 ux))))))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(/.f32 (.f32 maxCos (-.f32 (.f32 ux ux) ux)) -1)
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(neg.f32 (.f32 maxCos (-.f32 (.f32 ux ux) ux)))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(neg.f32 (.f32 (/.f32 ux ux) (.f32 maxCos (-.f32 (*.f32 ux ux) ux))))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(neg.f32 (.f32 -1 (.f32 ux (*.f32 maxCos (-.f32 1 ux)))))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))
(neg.f32 (.f32 (.f32 (/.f32 ux ux) (-.f32 (*.f32 ux maxCos) maxCos)) ux))
(.f32 (-.f32 1 ux) (.f32 maxCos ux))
(.f32 maxCos (-.f32 ux (.f32 ux ux)))

localize153.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 243 to 79 computations (67.5% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite87.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

808×	`rational_best_oopsla_all_46_json_45_simplify-80`
724×	`rational_best_oopsla_all_46_json_45_simplify-35`
666×	`rational_best_oopsla_all_46_json_45_simplify-89`
544×	`rational_best_oopsla_all_46_json_45_simplify-13`
540×	`rational_best_oopsla_all_46_json_45_simplify-37`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	54	24
2	212	24
3	1085	24
4	5062	24

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 yi (*.f32 (PI.f32) uy)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 yi (*.f32 (PI.f32) uy)) (*.f32 0 (/.f32 (*.f32 yi (*.f32 (PI.f32) uy)) (*.f32 yi (*.f32 (PI.f32) uy)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 yi (*.f32 (PI.f32) uy)) (*.f32 0 (*.f32 yi (*.f32 uy (/.f32 (PI.f32) (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 yi (*.f32 (PI.f32) uy)) (*.f32 0 (*.f32 (PI.f32) uy)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 yi (*.f32 (PI.f32) uy)) (*.f32 0 (*.f32 uy (/.f32 (*.f32 (PI.f32) yi) uy))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 yi (*.f32 (PI.f32) uy)) (*.f32 0 (*.f32 uy (/.f32 (*.f32 (PI.f32) yi) (*.f32 (PI.f32) yi)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 yi (*.f32 (PI.f32) uy)) (*.f32 0 (*.f32 (/.f32 uy uy) (*.f32 (PI.f32) (*.f32 yi (/.f32 uy uy))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 yi (*.f32 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(#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 yi (*.f32 (PI.f32) uy)) (/.f32 (*.f32 yi (/.f32 (PI.f32) (PI.f32))) (*.f32 yi (/.f32 (PI.f32) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 yi (*.f32 (PI.f32) uy)) (/.f32 (*.f32 yi uy) (*.f32 yi uy)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 yi (*.f32 (PI.f32) uy)) (/.f32 (/.f32 (*.f32 yi (*.f32 (PI.f32) uy)) (*.f32 yi (*.f32 (PI.f32) uy))) (/.f32 (*.f32 yi (*.f32 (PI.f32) uy)) (*.f32 yi (*.f32 (PI.f32) uy)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 yi (*.f32 (PI.f32) uy)) (/.f32 (*.f32 yi (*.f32 uy (/.f32 (PI.f32) (PI.f32)))) (*.f32 yi (*.f32 uy (/.f32 (PI.f32) (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 yi (*.f32 (PI.f32) uy)) (/.f32 (*.f32 uy (/.f32 (*.f32 (PI.f32) yi) (*.f32 (PI.f32) yi))) (*.f32 uy (/.f32 (*.f32 (PI.f32) yi) (*.f32 (PI.f32) yi)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 yi (*.f32 (PI.f32) uy)) (/.f32 (*.f32 (PI.f32) uy) (*.f32 (PI.f32) uy)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 yi (*.f32 (PI.f32) uy)) (/.f32 (*.f32 uy (/.f32 (*.f32 (PI.f32) yi) uy)) (*.f32 uy (/.f32 (*.f32 (PI.f32) yi) uy))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 yi (*.f32 (PI.f32) uy)) (/.f32 (*.f32 (/.f32 uy uy) (*.f32 (PI.f32) (*.f32 yi (/.f32 uy uy)))) (*.f32 (/.f32 uy uy) (*.f32 (PI.f32) (*.f32 yi (/.f32 uy uy))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (*.f32 (PI.f32) yi) (neg.f32 uy)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 1 (*.f32 (*.f32 (PI.f32) yi) (neg.f32 uy))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (/.f32 uy uy) (*.f32 (*.f32 (PI.f32) yi) (neg.f32 uy))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (PI.f32) (*.f32 uy (neg.f32 yi))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 -1 (*.f32 yi (*.f32 (PI.f32) uy))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (*.f32 yi uy) (neg.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 yi (/.f32 uy uy))) (neg.f32 uy)))))))

simplify110.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1776×	`rational_best_oopsla_all_46_json_45_simplify-13`
1182×	`rational_best_oopsla_all_46_json_45_simplify-10`
806×	`rational_best_oopsla_all_46_json_45_simplify-23`
734×	`rational_best_oopsla_all_46_json_45_simplify-72`
478×	`rational_best_oopsla_all_46_json_45_simplify-30`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	172	2170
1	556	2170
2	2326	2162
3	6011	2146

Stop Event

1×	node limit

Counts

120 → 109

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 (.f32 (PI.f32) yi) (.f32 0 (*.f32 (PI.f32) (/.f32 yi (PI.f32)))))
(+.f32 (.f32 (PI.f32) yi) (.f32 0 (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 yi (/.f32 (PI.f32) (PI.f32))))))
(+.f32 (.f32 (PI.f32) yi) (.f32 0 (*.f32 (PI.f32) (/.f32 yi yi))))
(+.f32 (.f32 (PI.f32) yi) (+.f32 (.f32 0 (*.f32 (PI.f32) (/.f32 yi (PI.f32)))) 0))
(+.f32 (.f32 (PI.f32) yi) (+.f32 (.f32 0 (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 yi (/.f32 (PI.f32) (PI.f32))))) 0))
(+.f32 (.f32 (PI.f32) yi) (+.f32 (.f32 0 (*.f32 (PI.f32) (/.f32 yi yi))) 0))
(+.f32 0 (*.f32 (PI.f32) yi))
(+.f32 (.f32 0 (.f32 (PI.f32) (/.f32 yi (PI.f32)))) (*.f32 (PI.f32) yi))
(+.f32 (.f32 0 (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 yi (/.f32 (PI.f32) (PI.f32))))) (.f32 (PI.f32) yi))
(+.f32 (.f32 0 (.f32 (PI.f32) (/.f32 yi yi))) (*.f32 (PI.f32) yi))
(-.f32 (*.f32 (PI.f32) yi) 0)
(-.f32 0 (*.f32 (PI.f32) (neg.f32 yi)))
(-.f32 0 (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (neg.f32 yi))))
(-.f32 0 (.f32 (/.f32 (.f32 (PI.f32) yi) (.f32 (PI.f32) yi)) (.f32 (PI.f32) (neg.f32 yi))))
(-.f32 0 (.f32 (.f32 yi (neg.f32 (/.f32 (PI.f32) (PI.f32)))) (PI.f32)))
(/.f32 (*.f32 (PI.f32) yi) 1)
(/.f32 (*.f32 (PI.f32) yi) (/.f32 (PI.f32) (PI.f32)))
(/.f32 (.f32 (PI.f32) yi) (/.f32 (.f32 (PI.f32) yi) (*.f32 (PI.f32) yi)))
(/.f32 (*.f32 (PI.f32) yi) (/.f32 yi yi))
(/.f32 (.f32 (PI.f32) yi) (/.f32 (.f32 yi (/.f32 (PI.f32) (PI.f32))) (*.f32 yi (/.f32 (PI.f32) (PI.f32)))))
(/.f32 (*.f32 (PI.f32) yi) (/.f32 (/.f32 (PI.f32) (PI.f32)) (/.f32 (PI.f32) (PI.f32))))
(/.f32 (.f32 (PI.f32) yi) (/.f32 (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 yi (/.f32 (PI.f32) (PI.f32)))) (.f32 (/.f32 (PI.f32) (PI.f32)) (*.f32 yi (/.f32 (PI.f32) (PI.f32))))))
(/.f32 (.f32 (PI.f32) yi) (/.f32 (/.f32 (.f32 (PI.f32) yi) (.f32 (PI.f32) yi)) (/.f32 (.f32 (PI.f32) yi) (*.f32 (PI.f32) yi))))
(/.f32 (.f32 (PI.f32) yi) (/.f32 (.f32 (PI.f32) (/.f32 yi yi)) (*.f32 (PI.f32) (/.f32 yi yi))))
(/.f32 (.f32 (PI.f32) yi) (/.f32 (.f32 (PI.f32) (/.f32 yi (PI.f32))) (*.f32 (PI.f32) (/.f32 yi (PI.f32)))))
(/.f32 (*.f32 (PI.f32) (neg.f32 yi)) -1)
(neg.f32 (*.f32 (PI.f32) (neg.f32 yi)))
(neg.f32 (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (neg.f32 yi))))
(neg.f32 (.f32 (/.f32 (.f32 (PI.f32) yi) (.f32 (PI.f32) yi)) (.f32 (PI.f32) (neg.f32 yi))))
(neg.f32 (.f32 (.f32 yi (neg.f32 (/.f32 (PI.f32) (PI.f32)))) (PI.f32)))
(+.f32 (.f32 yi (.f32 (PI.f32) uy)) 0)
(+.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 0 (/.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 yi (*.f32 (PI.f32) uy)))))
(+.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 0 (.f32 yi (*.f32 uy (/.f32 (PI.f32) (PI.f32))))))
(+.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 0 (.f32 (PI.f32) uy)))
(+.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 0 (.f32 uy (/.f32 (*.f32 (PI.f32) yi) uy))))
(+.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 0 (.f32 uy (/.f32 (.f32 (PI.f32) yi) (.f32 (PI.f32) yi)))))
(+.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 0 (.f32 (/.f32 uy uy) (.f32 (PI.f32) (.f32 yi (/.f32 uy uy))))))
(+.f32 (.f32 yi (.f32 (PI.f32) uy)) (+.f32 (.f32 0 (.f32 yi (*.f32 uy (/.f32 (PI.f32) (PI.f32))))) 0))
(+.f32 (.f32 yi (.f32 (PI.f32) uy)) (+.f32 (.f32 0 (/.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 yi (*.f32 (PI.f32) uy)))) 0))
(+.f32 (.f32 yi (.f32 (PI.f32) uy)) (+.f32 (.f32 0 (.f32 (PI.f32) uy)) 0))
(+.f32 (.f32 yi (.f32 (PI.f32) uy)) (+.f32 (.f32 0 (.f32 uy (/.f32 (*.f32 (PI.f32) yi) uy))) 0))
(+.f32 (.f32 yi (.f32 (PI.f32) uy)) (+.f32 (.f32 0 (.f32 uy (/.f32 (.f32 (PI.f32) yi) (.f32 (PI.f32) yi)))) 0))
(+.f32 (.f32 yi (.f32 (PI.f32) uy)) (+.f32 (.f32 0 (.f32 (/.f32 uy uy) (.f32 (PI.f32) (.f32 yi (/.f32 uy uy))))) 0))
(+.f32 0 (.f32 yi (.f32 (PI.f32) uy)))
(+.f32 (.f32 0 (/.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 yi (.f32 (PI.f32) uy)))) (.f32 yi (*.f32 (PI.f32) uy)))
(+.f32 (.f32 0 (.f32 yi (.f32 uy (/.f32 (PI.f32) (PI.f32))))) (.f32 yi (*.f32 (PI.f32) uy)))
(+.f32 (.f32 0 (.f32 (PI.f32) uy)) (.f32 yi (.f32 (PI.f32) uy)))
(+.f32 (.f32 0 (.f32 uy (/.f32 (.f32 (PI.f32) yi) uy))) (.f32 yi (*.f32 (PI.f32) uy)))
(+.f32 (.f32 0 (.f32 uy (/.f32 (.f32 (PI.f32) yi) (.f32 (PI.f32) yi)))) (.f32 yi (.f32 (PI.f32) uy)))
(+.f32 (.f32 0 (.f32 (/.f32 uy uy) (.f32 (PI.f32) (.f32 yi (/.f32 uy uy))))) (.f32 yi (.f32 (PI.f32) uy)))
(-.f32 (.f32 yi (.f32 (PI.f32) uy)) 0)
(-.f32 0 (.f32 (.f32 (PI.f32) yi) (neg.f32 uy)))
(-.f32 0 (.f32 1 (.f32 (*.f32 (PI.f32) yi) (neg.f32 uy))))
(-.f32 0 (.f32 (/.f32 uy uy) (.f32 (*.f32 (PI.f32) yi) (neg.f32 uy))))
(-.f32 0 (.f32 (PI.f32) (.f32 uy (neg.f32 yi))))
(-.f32 0 (.f32 -1 (.f32 yi (*.f32 (PI.f32) uy))))
(-.f32 0 (.f32 (.f32 yi uy) (neg.f32 (PI.f32))))
(-.f32 0 (.f32 (.f32 (PI.f32) (*.f32 yi (/.f32 uy uy))) (neg.f32 uy)))
(-.f32 (.f32 0 (/.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 yi (.f32 (PI.f32) uy)))) (.f32 (/.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 yi (.f32 (PI.f32) uy))) (.f32 (.f32 (PI.f32) yi) (neg.f32 uy))))
(-.f32 (.f32 0 (.f32 uy (/.f32 (.f32 (PI.f32) yi) (.f32 (PI.f32) yi)))) (.f32 (.f32 uy (/.f32 (.f32 (PI.f32) yi) (.f32 (PI.f32) yi))) (*.f32 (PI.f32) (neg.f32 yi))))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) 1)
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (PI.f32) (PI.f32)))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 uy uy))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (.f32 (PI.f32) yi) (.f32 (PI.f32) yi)))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 yi yi))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 yi (.f32 (PI.f32) uy))))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (/.f32 uy uy) (/.f32 uy uy)))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (.f32 (PI.f32) (.f32 yi (/.f32 uy uy))) (.f32 (PI.f32) (.f32 yi (/.f32 uy uy)))))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (.f32 yi (/.f32 (PI.f32) (PI.f32))) (.f32 yi (/.f32 (PI.f32) (PI.f32)))))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (.f32 yi uy) (.f32 yi uy)))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (/.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 yi (.f32 (PI.f32) uy))) (/.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 yi (.f32 (PI.f32) uy)))))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (.f32 yi (.f32 uy (/.f32 (PI.f32) (PI.f32)))) (.f32 yi (.f32 uy (/.f32 (PI.f32) (PI.f32))))))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (.f32 uy (/.f32 (.f32 (PI.f32) yi) (.f32 (PI.f32) yi))) (.f32 uy (/.f32 (.f32 (PI.f32) yi) (.f32 (PI.f32) yi)))))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (.f32 (PI.f32) uy) (.f32 (PI.f32) uy)))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (.f32 uy (/.f32 (.f32 (PI.f32) yi) uy)) (.f32 uy (/.f32 (.f32 (PI.f32) yi) uy))))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (.f32 (/.f32 uy uy) (.f32 (PI.f32) (.f32 yi (/.f32 uy uy)))) (.f32 (/.f32 uy uy) (.f32 (PI.f32) (.f32 yi (/.f32 uy uy))))))
(neg.f32 (.f32 (.f32 (PI.f32) yi) (neg.f32 uy)))
(neg.f32 (.f32 1 (.f32 (*.f32 (PI.f32) yi) (neg.f32 uy))))
(neg.f32 (.f32 (/.f32 uy uy) (.f32 (*.f32 (PI.f32) yi) (neg.f32 uy))))
(neg.f32 (.f32 (PI.f32) (.f32 uy (neg.f32 yi))))
(neg.f32 (.f32 -1 (.f32 yi (*.f32 (PI.f32) uy))))
(neg.f32 (.f32 (.f32 yi uy) (neg.f32 (PI.f32))))
(neg.f32 (.f32 (.f32 (PI.f32) (*.f32 yi (/.f32 uy uy))) (neg.f32 uy)))

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 yi uy))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 yi uy))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 yi uy))
(+.f32 (*.f32 (PI.f32) yi) 0)
(*.f32 yi (PI.f32))
(+.f32 (.f32 (PI.f32) yi) (.f32 0 (*.f32 (PI.f32) (/.f32 yi (PI.f32)))))
(*.f32 yi (PI.f32))
(+.f32 (.f32 (PI.f32) yi) (.f32 0 (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 yi (/.f32 (PI.f32) (PI.f32))))))
(*.f32 yi (PI.f32))
(+.f32 (.f32 (PI.f32) yi) (.f32 0 (*.f32 (PI.f32) (/.f32 yi yi))))
(*.f32 yi (PI.f32))
(+.f32 (.f32 (PI.f32) yi) (+.f32 (.f32 0 (*.f32 (PI.f32) (/.f32 yi (PI.f32)))) 0))
(*.f32 yi (PI.f32))
(+.f32 (.f32 (PI.f32) yi) (+.f32 (.f32 0 (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 yi (/.f32 (PI.f32) (PI.f32))))) 0))
(*.f32 yi (PI.f32))
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(/.f32 (.f32 (PI.f32) (.f32 yi uy)) (/.f32 (.f32 (PI.f32) (.f32 yi (.f32 (/.f32 uy uy) (/.f32 uy uy)))) (.f32 (PI.f32) (.f32 yi (.f32 (/.f32 uy uy) (/.f32 uy uy))))))
(/.f32 (.f32 (PI.f32) (.f32 yi uy)) (/.f32 (.f32 (.f32 yi (/.f32 uy uy)) (.f32 (PI.f32) (/.f32 uy uy))) (.f32 (.f32 yi (/.f32 uy uy)) (.f32 (PI.f32) (/.f32 uy uy)))))
(neg.f32 (.f32 (.f32 (PI.f32) yi) (neg.f32 uy)))
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(neg.f32 (.f32 1 (.f32 (*.f32 (PI.f32) yi) (neg.f32 uy))))
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(neg.f32 (.f32 (/.f32 uy uy) (.f32 (*.f32 (PI.f32) yi) (neg.f32 uy))))
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(.f32 (PI.f32) (.f32 yi uy))
(neg.f32 (.f32 (PI.f32) (.f32 uy (neg.f32 yi))))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 yi uy))
(neg.f32 (.f32 -1 (.f32 yi (*.f32 (PI.f32) uy))))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 yi uy))
(neg.f32 (.f32 (.f32 yi uy) (neg.f32 (PI.f32))))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 yi uy))
(neg.f32 (.f32 (.f32 (PI.f32) (*.f32 yi (/.f32 uy uy))) (neg.f32 uy)))
(.f32 yi (.f32 (PI.f32) uy))
(.f32 (PI.f32) (.f32 yi uy))

localize167.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 259 to 161 computations (37.8% saved)

series1.0ms (0%)

Counts

2 → 4

Calls

9 calls:

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

rewrite84.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

920×	`rational_best_oopsla_all_46_json_45_simplify-80`
818×	`rational_best_oopsla_all_46_json_45_simplify-35`
624×	`rational_best_oopsla_all_46_json_45_simplify-89`
598×	`rational_best_oopsla_all_46_json_45_simplify-23`
536×	`rational_best_oopsla_all_46_json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	76	34
2	254	34
3	1159	34
4	5326	34

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))) (*.f32 0 (*.f32 yi (/.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))) yi))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))) (*.f32 0 (*.f32 (/.f32 yi yi) (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))) (/.f32 yi yi)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))) (*.f32 0 (*.f32 yi (/.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))) (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))) (*.f32 0 (/.f32 (*.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))) (*.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (*.f32 yi (/.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))) yi))) (*.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (*.f32 (/.f32 yi yi) (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))) (/.f32 yi yi)))) (*.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (*.f32 yi (/.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))) (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))))) (*.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (/.f32 (*.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))) (*.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))))) (*.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))) (neg.f32 yi)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 1 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))) (neg.f32 yi))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 (/.f32 yi yi) (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))) (neg.f32 yi))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 -1 (*.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))) (neg.f32 (/.f32 yi yi))) yi))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 0 (/.f32 (*.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))) (*.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))))) (*.f32 (/.f32 (*.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))) (*.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))) (neg.f32 yi))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))) (/.f32 yi yi))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))) (/.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))) (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))) (/.f32 (*.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))) (*.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))) (/.f32 (/.f32 yi yi) (/.f32 yi yi)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))) (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))) (/.f32 yi yi)) (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))) (/.f32 yi yi))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))) (/.f32 (*.f32 yi (/.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))) (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))))) (*.f32 yi (/.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))) (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))) (/.f32 (/.f32 (*.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))) (*.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))))) (/.f32 (*.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))) (*.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))) (/.f32 (*.f32 yi (/.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))) yi)) (*.f32 yi (/.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))) yi))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))) (/.f32 (*.f32 (/.f32 yi yi) (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))) (/.f32 yi yi))) (*.f32 (/.f32 yi yi) (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))) (/.f32 yi yi)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))) (neg.f32 yi)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 1 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))) (neg.f32 yi))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (/.f32 yi yi) (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))) (neg.f32 yi))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 -1 (*.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))) (neg.f32 (/.f32 yi yi))) yi))))))

simplify98.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1596×	`rational_best_oopsla_all_46_json_45_simplify-13`
1230×	`rational_best_oopsla_all_46_json_45_simplify-10`
1206×	`rational_best_oopsla_all_46_json_45_simplify-30`
518×	`rational_best_oopsla_all_46_json_45_simplify-23`
500×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	156	2068
1	525	2068
2	2193	2052
3	5271	2052

Stop Event

1×	node limit

Counts

64 → 83

Calls

Call 1

Inputs
(.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 (*.f32 uy (PI.f32)) 0)
(+.f32 (.f32 uy (PI.f32)) (.f32 0 (/.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32)))))
(+.f32 (.f32 uy (PI.f32)) (.f32 0 (*.f32 uy (/.f32 (PI.f32) uy))))
(+.f32 (.f32 uy (PI.f32)) (.f32 0 (.f32 (/.f32 uy uy) (.f32 (PI.f32) (/.f32 uy uy)))))
(+.f32 (.f32 uy (PI.f32)) (.f32 0 (*.f32 uy (/.f32 (PI.f32) (PI.f32)))))
(+.f32 0 (*.f32 uy (PI.f32)))
(+.f32 (.f32 0 (/.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32)))) (.f32 uy (PI.f32)))
(+.f32 (.f32 0 (.f32 uy (/.f32 (PI.f32) uy))) (*.f32 uy (PI.f32)))
(+.f32 (.f32 0 (.f32 (/.f32 uy uy) (.f32 (PI.f32) (/.f32 uy uy)))) (.f32 uy (PI.f32)))
(+.f32 (.f32 0 (.f32 uy (/.f32 (PI.f32) (PI.f32)))) (*.f32 uy (PI.f32)))
(-.f32 (*.f32 uy (PI.f32)) 0)
(-.f32 0 (*.f32 uy (neg.f32 (PI.f32))))
(-.f32 0 (.f32 (/.f32 uy uy) (.f32 uy (neg.f32 (PI.f32)))))
(-.f32 0 (.f32 (.f32 (PI.f32) (neg.f32 (/.f32 uy uy))) uy))
(-.f32 (.f32 0 (/.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32)))) (.f32 (/.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32))) (*.f32 uy (neg.f32 (PI.f32)))))
(/.f32 (*.f32 uy (PI.f32)) 1)
(/.f32 (*.f32 uy (PI.f32)) (/.f32 uy uy))
(/.f32 (*.f32 uy (PI.f32)) (/.f32 (PI.f32) (PI.f32)))
(/.f32 (.f32 uy (PI.f32)) (/.f32 (.f32 uy (PI.f32)) (*.f32 uy (PI.f32))))
(/.f32 (*.f32 uy (PI.f32)) (/.f32 (/.f32 uy uy) (/.f32 uy uy)))
(/.f32 (.f32 uy (PI.f32)) (/.f32 (.f32 (PI.f32) (/.f32 uy uy)) (*.f32 (PI.f32) (/.f32 uy uy))))
(/.f32 (.f32 uy (PI.f32)) (/.f32 (.f32 uy (/.f32 (PI.f32) uy)) (*.f32 uy (/.f32 (PI.f32) uy))))
(/.f32 (.f32 uy (PI.f32)) (/.f32 (.f32 (/.f32 uy uy) (.f32 (PI.f32) (/.f32 uy uy))) (.f32 (/.f32 uy uy) (*.f32 (PI.f32) (/.f32 uy uy)))))
(/.f32 (.f32 uy (PI.f32)) (/.f32 (/.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32))) (/.f32 (.f32 uy (PI.f32)) (*.f32 uy (PI.f32)))))
(/.f32 (.f32 uy (PI.f32)) (/.f32 (.f32 uy (/.f32 (PI.f32) (PI.f32))) (*.f32 uy (/.f32 (PI.f32) (PI.f32)))))
(neg.f32 (*.f32 uy (neg.f32 (PI.f32))))
(neg.f32 (.f32 (/.f32 uy uy) (.f32 uy (neg.f32 (PI.f32)))))
(neg.f32 (.f32 (.f32 (PI.f32) (neg.f32 (/.f32 uy uy))) uy))
(+.f32 (.f32 yi (sin.f32 (.f32 (PI.f32) (+.f32 uy uy)))) 0)
(+.f32 (.f32 yi (sin.f32 (.f32 (PI.f32) (+.f32 uy uy)))) (.f32 0 (.f32 yi (/.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))) yi))))
(+.f32 (.f32 yi (sin.f32 (.f32 (PI.f32) (+.f32 uy uy)))) (.f32 0 (.f32 (/.f32 yi yi) (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (/.f32 yi yi)))))
(+.f32 (.f32 yi (sin.f32 (.f32 (PI.f32) (+.f32 uy uy)))) (.f32 0 (.f32 yi (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (sin.f32 (.f32 (PI.f32) (+.f32 uy uy)))))))
(+.f32 (.f32 yi (sin.f32 (.f32 (PI.f32) (+.f32 uy uy)))) (.f32 0 (/.f32 (.f32 yi (sin.f32 (.f32 (PI.f32) (+.f32 uy uy)))) (.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))))))
(+.f32 0 (.f32 yi (sin.f32 (.f32 (PI.f32) (+.f32 uy uy)))))
(+.f32 (.f32 0 (.f32 yi (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) yi))) (.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))))
(+.f32 (.f32 0 (.f32 (/.f32 yi yi) (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (/.f32 yi yi)))) (.f32 yi (sin.f32 (.f32 (PI.f32) (+.f32 uy uy)))))
(+.f32 (.f32 0 (.f32 yi (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (sin.f32 (.f32 (PI.f32) (+.f32 uy uy)))))) (.f32 yi (sin.f32 (.f32 (PI.f32) (+.f32 uy uy)))))
(+.f32 (.f32 0 (/.f32 (.f32 yi (sin.f32 (.f32 (PI.f32) (+.f32 uy uy)))) (.f32 yi (sin.f32 (.f32 (PI.f32) (+.f32 uy uy)))))) (.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy)))))
(-.f32 (.f32 yi (sin.f32 (.f32 (PI.f32) (+.f32 uy uy)))) 0)
(-.f32 0 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (neg.f32 yi)))
(-.f32 0 (.f32 1 (.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))) (neg.f32 yi))))
(-.f32 0 (.f32 (/.f32 yi yi) (.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))) (neg.f32 yi))))
(-.f32 0 (.f32 -1 (.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))))))
(-.f32 0 (.f32 (.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))) (neg.f32 (/.f32 yi yi))) yi))
(-.f32 (.f32 0 (/.f32 (.f32 yi (sin.f32 (.f32 (PI.f32) (+.f32 uy uy)))) (.f32 yi (sin.f32 (.f32 (PI.f32) (+.f32 uy uy)))))) (.f32 (/.f32 (.f32 yi (sin.f32 (.f32 (PI.f32) (+.f32 uy uy)))) (.f32 yi (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))))) (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (neg.f32 yi))))
(/.f32 (.f32 yi (sin.f32 (.f32 (PI.f32) (+.f32 uy uy)))) 1)
(/.f32 (.f32 yi (sin.f32 (.f32 (PI.f32) (+.f32 uy uy)))) (/.f32 yi yi))
(/.f32 (.f32 yi (sin.f32 (.f32 (PI.f32) (+.f32 uy uy)))) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (sin.f32 (.f32 (PI.f32) (+.f32 uy uy)))))
(/.f32 (.f32 yi (sin.f32 (.f32 (PI.f32) (+.f32 uy uy)))) (/.f32 (.f32 yi (sin.f32 (.f32 (PI.f32) (+.f32 uy uy)))) (.f32 yi (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))))))
(/.f32 (.f32 yi (sin.f32 (.f32 (PI.f32) (+.f32 uy uy)))) (/.f32 (/.f32 yi yi) (/.f32 yi yi)))
(/.f32 (.f32 yi (sin.f32 (.f32 (PI.f32) (+.f32 uy uy)))) (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (/.f32 yi yi)) (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (/.f32 yi yi))))
(/.f32 (.f32 yi (sin.f32 (.f32 (PI.f32) (+.f32 uy uy)))) (/.f32 (.f32 yi (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))))) (.f32 yi (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (sin.f32 (.f32 (PI.f32) (+.f32 uy uy)))))))
(/.f32 (.f32 yi (sin.f32 (.f32 (PI.f32) (+.f32 uy uy)))) (/.f32 (/.f32 (.f32 yi (sin.f32 (.f32 (PI.f32) (+.f32 uy uy)))) (.f32 yi (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))))) (/.f32 (.f32 yi (sin.f32 (.f32 (PI.f32) (+.f32 uy uy)))) (.f32 yi (sin.f32 (.f32 (PI.f32) (+.f32 uy uy)))))))
(/.f32 (.f32 yi (sin.f32 (.f32 (PI.f32) (+.f32 uy uy)))) (/.f32 (.f32 yi (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) yi)) (.f32 yi (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) yi))))
(/.f32 (.f32 yi (sin.f32 (.f32 (PI.f32) (+.f32 uy uy)))) (/.f32 (.f32 (/.f32 yi yi) (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (/.f32 yi yi))) (.f32 (/.f32 yi yi) (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (/.f32 yi yi)))))
(neg.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (neg.f32 yi)))
(neg.f32 (.f32 1 (.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))) (neg.f32 yi))))
(neg.f32 (.f32 (/.f32 yi yi) (.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))) (neg.f32 yi))))
(neg.f32 (.f32 -1 (.f32 yi (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))))))
(neg.f32 (.f32 (.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 uy uy))) (neg.f32 (/.f32 yi yi))) yi))

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

localize186.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
	0.2b	(.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) yi)
✓	0.2b	(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
	0.4b	(.f32 uy (.f32 2 (PI.f32)))

Compiler

Compiled 243 to 125 computations (48.6% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	ux	@	inf	(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
0.0ms	ux	@	0	(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
0.0ms	maxCos	@	0	(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
0.0ms	maxCos	@	inf	(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
0.0ms	ux	@	-inf	(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))

rewrite73.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1648×	`rational_best_oopsla_all_46_json-2`
1648×	`rational_best_oopsla_all_46_json-1`
1648×	`rational_best_oopsla_all_46_json-4`
1648×	`rational_best_oopsla_all_46_json-3`
964×	`rational_best_oopsla_all_46_json_45_simplify-7`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	56	17
2	168	17
3	713	17
4	3355	17

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

Inputs
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (*.f32 0 (*.f32 (pow.f32 ux 2) (/.f32 maxCos maxCos))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (*.f32 0 (/.f32 (*.f32 (pow.f32 ux 2) maxCos) (*.f32 (pow.f32 ux 2) maxCos))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (*.f32 0 (*.f32 (pow.f32 ux 2) (/.f32 (neg.f32 maxCos) (pow.f32 ux 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (*.f32 0 (*.f32 maxCos (*.f32 (/.f32 (pow.f32 ux 2) (pow.f32 ux 2)) (neg.f32 (/.f32 (pow.f32 ux 2) (pow.f32 ux 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (*.f32 (pow.f32 ux 2) (/.f32 maxCos maxCos))) (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (/.f32 (*.f32 (pow.f32 ux 2) maxCos) (*.f32 (pow.f32 ux 2) maxCos))) (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (*.f32 (pow.f32 ux 2) (/.f32 (neg.f32 maxCos) (pow.f32 ux 2)))) (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (*.f32 maxCos (*.f32 (/.f32 (pow.f32 ux 2) (pow.f32 ux 2)) (neg.f32 (/.f32 (pow.f32 ux 2) (pow.f32 ux 2)))))) (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (-.f32 0 (*.f32 0 (*.f32 (pow.f32 ux 2) (/.f32 maxCos maxCos)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 (pow.f32 ux 2) maxCos))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 0 (*.f32 (pow.f32 ux 2) (/.f32 maxCos maxCos))) (*.f32 (pow.f32 ux 2) maxCos))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 0 (/.f32 (*.f32 (pow.f32 ux 2) maxCos) (*.f32 (pow.f32 ux 2) maxCos))) (*.f32 (/.f32 (*.f32 (pow.f32 ux 2) maxCos) (*.f32 (pow.f32 ux 2) maxCos)) (*.f32 (pow.f32 ux 2) maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (/.f32 (pow.f32 ux 2) (pow.f32 ux 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (/.f32 maxCos maxCos))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (/.f32 (*.f32 (pow.f32 ux 2) maxCos) (*.f32 (pow.f32 ux 2) maxCos)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (/.f32 (/.f32 (pow.f32 ux 2) (pow.f32 ux 2)) (/.f32 (pow.f32 ux 2) (pow.f32 ux 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (/.f32 (*.f32 maxCos (/.f32 (pow.f32 ux 2) (pow.f32 ux 2))) (*.f32 maxCos (/.f32 (pow.f32 ux 2) (pow.f32 ux 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (/.f32 (/.f32 (*.f32 (pow.f32 ux 2) maxCos) (*.f32 (pow.f32 ux 2) maxCos)) (/.f32 (*.f32 (pow.f32 ux 2) maxCos) (*.f32 (pow.f32 ux 2) maxCos))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (/.f32 (*.f32 (pow.f32 ux 2) (/.f32 (neg.f32 maxCos) (pow.f32 ux 2))) (*.f32 (pow.f32 ux 2) (/.f32 (neg.f32 maxCos) (pow.f32 ux 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (/.f32 (*.f32 (/.f32 (pow.f32 ux 2) (pow.f32 ux 2)) (*.f32 maxCos (/.f32 (pow.f32 ux 2) (pow.f32 ux 2)))) (*.f32 (/.f32 (pow.f32 ux 2) (pow.f32 ux 2)) (*.f32 maxCos (/.f32 (pow.f32 ux 2) (pow.f32 ux 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (/.f32 (*.f32 (pow.f32 ux 2) (/.f32 maxCos maxCos)) (*.f32 (pow.f32 ux 2) (/.f32 maxCos maxCos))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 ux 2) maxCos) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (pow.f32 ux 2) maxCos))))))

simplify147.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1392×	`rational_best_oopsla_all_46_json_45_simplify-10`
1168×	`rational_best_oopsla_all_46_json_45_simplify-49`
1156×	`rational_best_oopsla_all_46_json_45_simplify-7`
738×	`rational_best_oopsla_all_46_json_45_simplify-89`
550×	`rational_best_oopsla_all_46_json_45_simplify-74`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	975
1	203	975
2	828	975
3	3816	975
4	7631	975

Stop Event

1×	node limit

Counts

51 → 33

Calls

Call 1

Inputs
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(+.f32 (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)) 0)
(+.f32 (.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (.f32 0 (*.f32 (pow.f32 ux 2) (/.f32 maxCos maxCos))))
(+.f32 (.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (.f32 0 (/.f32 (.f32 (pow.f32 ux 2) maxCos) (.f32 (pow.f32 ux 2) maxCos))))
(+.f32 (.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (.f32 0 (*.f32 (pow.f32 ux 2) (/.f32 (neg.f32 maxCos) (pow.f32 ux 2)))))
(+.f32 (.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (.f32 0 (.f32 maxCos (.f32 (/.f32 (pow.f32 ux 2) (pow.f32 ux 2)) (neg.f32 (/.f32 (pow.f32 ux 2) (pow.f32 ux 2)))))))
(+.f32 0 (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)))
(+.f32 (.f32 0 (.f32 (pow.f32 ux 2) (/.f32 maxCos maxCos))) (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)))
(+.f32 (.f32 0 (/.f32 (.f32 (pow.f32 ux 2) maxCos) (.f32 (pow.f32 ux 2) maxCos))) (.f32 (pow.f32 ux 2) (neg.f32 maxCos)))
(+.f32 (.f32 0 (.f32 (pow.f32 ux 2) (/.f32 (neg.f32 maxCos) (pow.f32 ux 2)))) (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)))
(+.f32 (.f32 0 (.f32 maxCos (.f32 (/.f32 (pow.f32 ux 2) (pow.f32 ux 2)) (neg.f32 (/.f32 (pow.f32 ux 2) (pow.f32 ux 2)))))) (.f32 (pow.f32 ux 2) (neg.f32 maxCos)))
(-.f32 (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)) 0)
(-.f32 (.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (-.f32 0 (.f32 0 (*.f32 (pow.f32 ux 2) (/.f32 maxCos maxCos)))))
(-.f32 0 (*.f32 (pow.f32 ux 2) maxCos))
(-.f32 (.f32 0 (.f32 (pow.f32 ux 2) (/.f32 maxCos maxCos))) (*.f32 (pow.f32 ux 2) maxCos))
(-.f32 (.f32 0 (/.f32 (.f32 (pow.f32 ux 2) maxCos) (.f32 (pow.f32 ux 2) maxCos))) (.f32 (/.f32 (.f32 (pow.f32 ux 2) maxCos) (.f32 (pow.f32 ux 2) maxCos)) (*.f32 (pow.f32 ux 2) maxCos)))
(/.f32 (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)) 1)
(/.f32 (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (/.f32 (pow.f32 ux 2) (pow.f32 ux 2)))
(/.f32 (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (/.f32 maxCos maxCos))
(/.f32 (.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (/.f32 (.f32 (pow.f32 ux 2) maxCos) (*.f32 (pow.f32 ux 2) maxCos)))
(/.f32 (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (/.f32 (/.f32 (pow.f32 ux 2) (pow.f32 ux 2)) (/.f32 (pow.f32 ux 2) (pow.f32 ux 2))))
(/.f32 (.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (/.f32 (.f32 maxCos (/.f32 (pow.f32 ux 2) (pow.f32 ux 2))) (*.f32 maxCos (/.f32 (pow.f32 ux 2) (pow.f32 ux 2)))))
(/.f32 (.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (/.f32 (/.f32 (.f32 (pow.f32 ux 2) maxCos) (.f32 (pow.f32 ux 2) maxCos)) (/.f32 (.f32 (pow.f32 ux 2) maxCos) (*.f32 (pow.f32 ux 2) maxCos))))
(/.f32 (.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (/.f32 (.f32 (pow.f32 ux 2) (/.f32 (neg.f32 maxCos) (pow.f32 ux 2))) (*.f32 (pow.f32 ux 2) (/.f32 (neg.f32 maxCos) (pow.f32 ux 2)))))
(/.f32 (.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (/.f32 (.f32 (/.f32 (pow.f32 ux 2) (pow.f32 ux 2)) (.f32 maxCos (/.f32 (pow.f32 ux 2) (pow.f32 ux 2)))) (.f32 (/.f32 (pow.f32 ux 2) (pow.f32 ux 2)) (*.f32 maxCos (/.f32 (pow.f32 ux 2) (pow.f32 ux 2))))))
(/.f32 (.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (/.f32 (.f32 (pow.f32 ux 2) (/.f32 maxCos maxCos)) (*.f32 (pow.f32 ux 2) (/.f32 maxCos maxCos))))
(/.f32 (*.f32 (pow.f32 ux 2) maxCos) -1)
(neg.f32 (*.f32 (pow.f32 ux 2) maxCos))

Outputs
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(.f32 -1 (.f32 maxCos (pow.f32 ux 2)))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(+.f32 (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)) 0)
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(+.f32 (.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (.f32 0 (*.f32 (pow.f32 ux 2) (/.f32 maxCos maxCos))))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(+.f32 (.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (.f32 0 (/.f32 (.f32 (pow.f32 ux 2) maxCos) (.f32 (pow.f32 ux 2) maxCos))))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(+.f32 (.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (.f32 0 (*.f32 (pow.f32 ux 2) (/.f32 (neg.f32 maxCos) (pow.f32 ux 2)))))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(+.f32 (.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (.f32 0 (.f32 maxCos (.f32 (/.f32 (pow.f32 ux 2) (pow.f32 ux 2)) (neg.f32 (/.f32 (pow.f32 ux 2) (pow.f32 ux 2)))))))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(+.f32 0 (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(+.f32 (.f32 0 (.f32 (pow.f32 ux 2) (/.f32 maxCos maxCos))) (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(+.f32 (.f32 0 (/.f32 (.f32 (pow.f32 ux 2) maxCos) (.f32 (pow.f32 ux 2) maxCos))) (.f32 (pow.f32 ux 2) (neg.f32 maxCos)))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(+.f32 (.f32 0 (.f32 (pow.f32 ux 2) (/.f32 (neg.f32 maxCos) (pow.f32 ux 2)))) (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(+.f32 (.f32 0 (.f32 maxCos (.f32 (/.f32 (pow.f32 ux 2) (pow.f32 ux 2)) (neg.f32 (/.f32 (pow.f32 ux 2) (pow.f32 ux 2)))))) (.f32 (pow.f32 ux 2) (neg.f32 maxCos)))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(-.f32 (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)) 0)
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(-.f32 (.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (-.f32 0 (.f32 0 (*.f32 (pow.f32 ux 2) (/.f32 maxCos maxCos)))))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(-.f32 0 (*.f32 (pow.f32 ux 2) maxCos))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(-.f32 (.f32 0 (.f32 (pow.f32 ux 2) (/.f32 maxCos maxCos))) (*.f32 (pow.f32 ux 2) maxCos))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(-.f32 (.f32 0 (/.f32 (.f32 (pow.f32 ux 2) maxCos) (.f32 (pow.f32 ux 2) maxCos))) (.f32 (/.f32 (.f32 (pow.f32 ux 2) maxCos) (.f32 (pow.f32 ux 2) maxCos)) (*.f32 (pow.f32 ux 2) maxCos)))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(/.f32 (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)) 1)
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(/.f32 (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (/.f32 (pow.f32 ux 2) (pow.f32 ux 2)))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(/.f32 (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (/.f32 maxCos maxCos))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(/.f32 (.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (/.f32 (.f32 (pow.f32 ux 2) maxCos) (*.f32 (pow.f32 ux 2) maxCos)))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(/.f32 (*.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (/.f32 (/.f32 (pow.f32 ux 2) (pow.f32 ux 2)) (/.f32 (pow.f32 ux 2) (pow.f32 ux 2))))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(/.f32 (.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (/.f32 (.f32 maxCos (/.f32 (pow.f32 ux 2) (pow.f32 ux 2))) (*.f32 maxCos (/.f32 (pow.f32 ux 2) (pow.f32 ux 2)))))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(/.f32 (.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (/.f32 (/.f32 (.f32 (pow.f32 ux 2) maxCos) (.f32 (pow.f32 ux 2) maxCos)) (/.f32 (.f32 (pow.f32 ux 2) maxCos) (*.f32 (pow.f32 ux 2) maxCos))))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(/.f32 (.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (/.f32 (.f32 (pow.f32 ux 2) (/.f32 (neg.f32 maxCos) (pow.f32 ux 2))) (*.f32 (pow.f32 ux 2) (/.f32 (neg.f32 maxCos) (pow.f32 ux 2)))))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(/.f32 (.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (/.f32 (.f32 (/.f32 (pow.f32 ux 2) (pow.f32 ux 2)) (.f32 maxCos (/.f32 (pow.f32 ux 2) (pow.f32 ux 2)))) (.f32 (/.f32 (pow.f32 ux 2) (pow.f32 ux 2)) (*.f32 maxCos (/.f32 (pow.f32 ux 2) (pow.f32 ux 2))))))
(/.f32 (.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (/.f32 (.f32 maxCos (.f32 (/.f32 (pow.f32 ux 2) (pow.f32 ux 2)) (/.f32 (pow.f32 ux 2) (pow.f32 ux 2)))) (.f32 maxCos (*.f32 (/.f32 (pow.f32 ux 2) (pow.f32 ux 2)) (/.f32 (pow.f32 ux 2) (pow.f32 ux 2))))))
(/.f32 (.f32 maxCos (neg.f32 (pow.f32 ux 2))) (/.f32 (.f32 maxCos (.f32 (/.f32 (pow.f32 ux 2) (pow.f32 ux 2)) (/.f32 (pow.f32 ux 2) (pow.f32 ux 2)))) (.f32 maxCos (*.f32 (/.f32 (pow.f32 ux 2) (pow.f32 ux 2)) (/.f32 (pow.f32 ux 2) (pow.f32 ux 2))))))
(/.f32 (.f32 (pow.f32 ux 2) (neg.f32 maxCos)) (/.f32 (.f32 (pow.f32 ux 2) (/.f32 maxCos maxCos)) (*.f32 (pow.f32 ux 2) (/.f32 maxCos maxCos))))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(/.f32 (*.f32 (pow.f32 ux 2) maxCos) -1)
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))
(neg.f32 (*.f32 (pow.f32 ux 2) maxCos))
(neg.f32 (*.f32 maxCos (pow.f32 ux 2)))
(*.f32 (pow.f32 ux 2) (neg.f32 maxCos))
(*.f32 maxCos (neg.f32 (pow.f32 ux 2)))

localize480.0ms (2.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f32 -4/3 (.f32 yi (pow.f32 (PI.f32) 3)))
	0.4b	(.f32 uy (.f32 2 (PI.f32)))
	0.4b	(*.f32 (PI.f32) yi)
✓	1.0b	(pow.f32 (PI.f32) 3)

Compiler

Compiled 329 to 139 computations (57.8% saved)

series2.0ms (0%)

Counts

2 → 0

Calls

3 calls:

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

rewrite70.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1584×	`rational_best_oopsla_all_46_json-2`
1584×	`rational_best_oopsla_all_46_json-1`
1584×	`rational_best_oopsla_all_46_json-4`
1584×	`rational_best_oopsla_all_46_json-3`
1200×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	61	30
2	181	30
3	785	30
4	3515	30

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

Inputs
(pow.f32 (PI.f32) 3)
(.f32 -4/3 (.f32 yi (pow.f32 (PI.f32) 3)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (pow.f32 (PI.f32) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 (PI.f32) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (pow.f32 (PI.f32) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (PI.f32) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (PI.f32) 3) (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (PI.f32) 3) (*.f32 (pow.f32 (PI.f32) 3) (/.f32 1 (pow.f32 (PI.f32) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (PI.f32) 3) (*.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)) (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (PI.f32) 3) (*.f32 (pow.f32 (PI.f32) 3) (/.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)) (pow.f32 (PI.f32) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (PI.f32) 3) (*.f32 (*.f32 (pow.f32 (PI.f32) 3) (/.f32 1 (pow.f32 (PI.f32) 3))) (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (PI.f32) 3) (*.f32 (*.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)) (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3))) (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (PI.f32) 3) (*.f32 (pow.f32 (PI.f32) 3) (/.f32 (*.f32 (pow.f32 (PI.f32) 3) (/.f32 1 (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (PI.f32) 3) (*.f32 (pow.f32 (PI.f32) 3) (/.f32 (*.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)) (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (PI.f32) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)) (pow.f32 (PI.f32) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)) (*.f32 (pow.f32 (PI.f32) 3) (/.f32 1 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)) (*.f32 (pow.f32 (PI.f32) 3) (/.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)) (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)) (*.f32 (neg.f32 (pow.f32 (PI.f32) 3)) (/.f32 -1 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)) (*.f32 (neg.f32 (pow.f32 (PI.f32) 3)) (/.f32 (neg.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3))) (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (pow.f32 (PI.f32) 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (pow.f32 (PI.f32) 3)) (neg.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (neg.f32 (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (PI.f32) 3) (/.f32 1 (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)) (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3))) (neg.f32 (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (PI.f32) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (PI.f32) 3) (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (PI.f32) 3) (/.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)) (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (pow.f32 (PI.f32) 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (pow.f32 (PI.f32) 3)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)) (*.f32 0 (/.f32 (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)) (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)) (*.f32 0 (*.f32 -4/3 yi)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)) (*.f32 0 (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 (/.f32 yi yi)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)) (*.f32 0 (*.f32 -4/3 (/.f32 (*.f32 (pow.f32 (PI.f32) 3) yi) (*.f32 (pow.f32 (PI.f32) 3) yi)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (/.f32 (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)) (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)))) (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (*.f32 -4/3 yi)) (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 (/.f32 yi yi)))) (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (*.f32 -4/3 (/.f32 (*.f32 (pow.f32 (PI.f32) 3) yi) (*.f32 (pow.f32 (PI.f32) 3) yi)))) (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 yi (*.f32 (pow.f32 (PI.f32) 3) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 0 (/.f32 (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)) (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)))) (*.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)) (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi))) (*.f32 yi (*.f32 (pow.f32 (PI.f32) 3) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 0 (*.f32 -4/3 (/.f32 (*.f32 (pow.f32 (PI.f32) 3) yi) (*.f32 (pow.f32 (PI.f32) 3) yi)))) (*.f32 (*.f32 -4/3 (/.f32 (*.f32 (pow.f32 (PI.f32) 3) yi) (*.f32 (pow.f32 (PI.f32) 3) yi))) (*.f32 (pow.f32 (PI.f32) 3) (neg.f32 yi))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)) (/.f32 yi yi))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)) (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)) (/.f32 (*.f32 (pow.f32 (PI.f32) 3) yi) (*.f32 (pow.f32 (PI.f32) 3) yi)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)) (/.f32 (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)) (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)) (/.f32 (*.f32 (pow.f32 (PI.f32) 3) -4/3) (*.f32 (pow.f32 (PI.f32) 3) -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)) (/.f32 (*.f32 (pow.f32 (PI.f32) 3) (/.f32 yi yi)) (*.f32 (pow.f32 (PI.f32) 3) (/.f32 yi yi))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)) (/.f32 (*.f32 -4/3 yi) (*.f32 -4/3 yi)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)) (/.f32 (*.f32 -4/3 (/.f32 (*.f32 (pow.f32 (PI.f32) 3) yi) (*.f32 (pow.f32 (PI.f32) 3) yi))) (*.f32 -4/3 (/.f32 (*.f32 (pow.f32 (PI.f32) 3) yi) (*.f32 (pow.f32 (PI.f32) 3) yi)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)) (/.f32 (/.f32 (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)) (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi))) (/.f32 (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)) (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)) (/.f32 (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 (/.f32 yi yi))) (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 (/.f32 yi yi)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 yi (*.f32 (pow.f32 (PI.f32) 3) 4/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 yi (*.f32 (pow.f32 (PI.f32) 3) 4/3)))))))

simplify121.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

860×	`rational_best_oopsla_all_46_json_45_simplify-72`
794×	`rational_best_oopsla_all_46_json_45_simplify-10`
790×	`rational_best_oopsla_all_46_json_45_simplify-49`
758×	`rational_best_oopsla_all_46_json_45_simplify-30`
746×	`rational_best_oopsla_all_46_json_45_simplify-7`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	1217
1	411	1217
2	2276	1217
3	5232	1217

Stop Event

1×	node limit

Counts

57 → 62

Calls

Call 1

Inputs
(+.f32 (pow.f32 (PI.f32) 3) 0)
(+.f32 0 (pow.f32 (PI.f32) 3))
(-.f32 (pow.f32 (PI.f32) 3) 0)
(-.f32 0 (neg.f32 (pow.f32 (PI.f32) 3)))
(*.f32 (pow.f32 (PI.f32) 3) 1)
(*.f32 (pow.f32 (PI.f32) 3) (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)))
(.f32 (pow.f32 (PI.f32) 3) (.f32 (pow.f32 (PI.f32) 3) (/.f32 1 (pow.f32 (PI.f32) 3))))
(.f32 (pow.f32 (PI.f32) 3) (.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)) (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3))))
(.f32 (pow.f32 (PI.f32) 3) (.f32 (pow.f32 (PI.f32) 3) (/.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)) (pow.f32 (PI.f32) 3))))
(.f32 (pow.f32 (PI.f32) 3) (.f32 (*.f32 (pow.f32 (PI.f32) 3) (/.f32 1 (pow.f32 (PI.f32) 3))) (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3))))
(.f32 (pow.f32 (PI.f32) 3) (.f32 (*.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)) (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3))) (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3))))
(.f32 (pow.f32 (PI.f32) 3) (.f32 (pow.f32 (PI.f32) 3) (/.f32 (*.f32 (pow.f32 (PI.f32) 3) (/.f32 1 (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 3))))
(.f32 (pow.f32 (PI.f32) 3) (.f32 (pow.f32 (PI.f32) 3) (/.f32 (*.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)) (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 3))))
(*.f32 1 (pow.f32 (PI.f32) 3))
(*.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)) (pow.f32 (PI.f32) 3))
(.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)) (.f32 (pow.f32 (PI.f32) 3) (/.f32 1 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)))))
(.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)) (.f32 (pow.f32 (PI.f32) 3) (/.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)) (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)))))
(.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)) (.f32 (neg.f32 (pow.f32 (PI.f32) 3)) (/.f32 -1 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)))))
(.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)) (.f32 (neg.f32 (pow.f32 (PI.f32) 3)) (/.f32 (neg.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3))) (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)))))
(*.f32 (neg.f32 (pow.f32 (PI.f32) 3)) -1)
(*.f32 (neg.f32 (pow.f32 (PI.f32) 3)) (neg.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3))))
(*.f32 -1 (neg.f32 (pow.f32 (PI.f32) 3)))
(.f32 (.f32 (pow.f32 (PI.f32) 3) (/.f32 1 (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 3))
(.f32 (.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)) (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 3))
(*.f32 (neg.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3))) (neg.f32 (pow.f32 (PI.f32) 3)))
(/.f32 (pow.f32 (PI.f32) 3) 1)
(/.f32 (pow.f32 (PI.f32) 3) (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)))
(/.f32 (pow.f32 (PI.f32) 3) (/.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)) (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3))))
(/.f32 (neg.f32 (pow.f32 (PI.f32) 3)) -1)
(neg.f32 (neg.f32 (pow.f32 (PI.f32) 3)))
(+.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) 0)
(+.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (.f32 0 (/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)))))
(+.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (.f32 0 (.f32 -4/3 yi)))
(+.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (.f32 0 (.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 (/.f32 yi yi)))))
(+.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (.f32 0 (.f32 -4/3 (/.f32 (.f32 (pow.f32 (PI.f32) 3) yi) (.f32 (pow.f32 (PI.f32) 3) yi)))))
(+.f32 0 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)))
(+.f32 (.f32 0 (/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)))) (.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)))
(+.f32 (.f32 0 (.f32 -4/3 yi)) (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)))
(+.f32 (.f32 0 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 (/.f32 yi yi)))) (.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)))
(+.f32 (.f32 0 (.f32 -4/3 (/.f32 (.f32 (pow.f32 (PI.f32) 3) yi) (.f32 (pow.f32 (PI.f32) 3) yi)))) (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)))
(-.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) 0)
(-.f32 0 (.f32 yi (.f32 (pow.f32 (PI.f32) 3) 4/3)))
(-.f32 (.f32 0 (/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)))) (.f32 (/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi))) (.f32 yi (.f32 (pow.f32 (PI.f32) 3) 4/3))))
(-.f32 (.f32 0 (.f32 -4/3 (/.f32 (.f32 (pow.f32 (PI.f32) 3) yi) (.f32 (pow.f32 (PI.f32) 3) yi)))) (.f32 (.f32 -4/3 (/.f32 (.f32 (pow.f32 (PI.f32) 3) yi) (.f32 (pow.f32 (PI.f32) 3) yi))) (*.f32 (pow.f32 (PI.f32) 3) (neg.f32 yi))))
(/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) 1)
(/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (/.f32 yi yi))
(/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)))
(/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (/.f32 (.f32 (pow.f32 (PI.f32) 3) yi) (.f32 (pow.f32 (PI.f32) 3) yi)))
(/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi))))
(/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (/.f32 (.f32 (pow.f32 (PI.f32) 3) -4/3) (.f32 (pow.f32 (PI.f32) 3) -4/3)))
(/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (/.f32 (.f32 (pow.f32 (PI.f32) 3) (/.f32 yi yi)) (.f32 (pow.f32 (PI.f32) 3) (/.f32 yi yi))))
(/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (/.f32 (.f32 -4/3 yi) (.f32 -4/3 yi)))
(/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (/.f32 (.f32 -4/3 (/.f32 (.f32 (pow.f32 (PI.f32) 3) yi) (.f32 (pow.f32 (PI.f32) 3) yi))) (.f32 -4/3 (/.f32 (.f32 (pow.f32 (PI.f32) 3) yi) (.f32 (pow.f32 (PI.f32) 3) yi)))))
(/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (/.f32 (/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi))) (/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)))))
(/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 (/.f32 yi yi))) (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 (/.f32 yi yi)))))
(/.f32 (.f32 yi (.f32 (pow.f32 (PI.f32) 3) 4/3)) -1)
(neg.f32 (.f32 yi (.f32 (pow.f32 (PI.f32) 3) 4/3)))

Outputs
(+.f32 (pow.f32 (PI.f32) 3) 0)
(pow.f32 (PI.f32) 3)
(+.f32 0 (pow.f32 (PI.f32) 3))
(pow.f32 (PI.f32) 3)
(-.f32 (pow.f32 (PI.f32) 3) 0)
(pow.f32 (PI.f32) 3)
(-.f32 0 (neg.f32 (pow.f32 (PI.f32) 3)))
(pow.f32 (PI.f32) 3)
(*.f32 (pow.f32 (PI.f32) 3) 1)
(pow.f32 (PI.f32) 3)
(*.f32 (pow.f32 (PI.f32) 3) (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)))
(pow.f32 (PI.f32) 3)
(.f32 (pow.f32 (PI.f32) 3) (.f32 (pow.f32 (PI.f32) 3) (/.f32 1 (pow.f32 (PI.f32) 3))))
(pow.f32 (PI.f32) 3)
(.f32 (pow.f32 (PI.f32) 3) (.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)) (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3))))
(pow.f32 (PI.f32) 3)
(.f32 (pow.f32 (PI.f32) 3) (.f32 (pow.f32 (PI.f32) 3) (/.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)) (pow.f32 (PI.f32) 3))))
(pow.f32 (PI.f32) 3)
(.f32 (pow.f32 (PI.f32) 3) (.f32 (*.f32 (pow.f32 (PI.f32) 3) (/.f32 1 (pow.f32 (PI.f32) 3))) (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3))))
(pow.f32 (PI.f32) 3)
(.f32 (pow.f32 (PI.f32) 3) (.f32 (*.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)) (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3))) (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3))))
(pow.f32 (PI.f32) 3)
(.f32 (pow.f32 (PI.f32) 3) (.f32 (pow.f32 (PI.f32) 3) (/.f32 (*.f32 (pow.f32 (PI.f32) 3) (/.f32 1 (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 3))))
(pow.f32 (PI.f32) 3)
(.f32 (pow.f32 (PI.f32) 3) (.f32 (pow.f32 (PI.f32) 3) (/.f32 (*.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)) (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 3))))
(pow.f32 (PI.f32) 3)
(*.f32 1 (pow.f32 (PI.f32) 3))
(pow.f32 (PI.f32) 3)
(*.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)) (pow.f32 (PI.f32) 3))
(pow.f32 (PI.f32) 3)
(.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)) (.f32 (pow.f32 (PI.f32) 3) (/.f32 1 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)))))
(pow.f32 (PI.f32) 3)
(.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)) (.f32 (pow.f32 (PI.f32) 3) (/.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)) (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)))))
(pow.f32 (PI.f32) 3)
(.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)) (.f32 (neg.f32 (pow.f32 (PI.f32) 3)) (/.f32 -1 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)))))
(pow.f32 (PI.f32) 3)
(.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)) (.f32 (neg.f32 (pow.f32 (PI.f32) 3)) (/.f32 (neg.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3))) (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)))))
(pow.f32 (PI.f32) 3)
(*.f32 (neg.f32 (pow.f32 (PI.f32) 3)) -1)
(pow.f32 (PI.f32) 3)
(*.f32 (neg.f32 (pow.f32 (PI.f32) 3)) (neg.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3))))
(pow.f32 (PI.f32) 3)
(*.f32 -1 (neg.f32 (pow.f32 (PI.f32) 3)))
(pow.f32 (PI.f32) 3)
(.f32 (.f32 (pow.f32 (PI.f32) 3) (/.f32 1 (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 3))
(pow.f32 (PI.f32) 3)
(.f32 (.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)) (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3))) (pow.f32 (PI.f32) 3))
(pow.f32 (PI.f32) 3)
(*.f32 (neg.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3))) (neg.f32 (pow.f32 (PI.f32) 3)))
(pow.f32 (PI.f32) 3)
(/.f32 (pow.f32 (PI.f32) 3) 1)
(pow.f32 (PI.f32) 3)
(/.f32 (pow.f32 (PI.f32) 3) (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)))
(pow.f32 (PI.f32) 3)
(/.f32 (pow.f32 (PI.f32) 3) (/.f32 (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)) (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3))))
(pow.f32 (PI.f32) 3)
(/.f32 (neg.f32 (pow.f32 (PI.f32) 3)) -1)
(pow.f32 (PI.f32) 3)
(neg.f32 (neg.f32 (pow.f32 (PI.f32) 3)))
(pow.f32 (PI.f32) 3)
(+.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) 0)
(.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi))
(+.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (.f32 0 (/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)))))
(.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi))
(+.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (.f32 0 (.f32 -4/3 yi)))
(.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi))
(+.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (.f32 0 (.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 (/.f32 yi yi)))))
(.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi))
(+.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (.f32 0 (.f32 -4/3 (/.f32 (.f32 (pow.f32 (PI.f32) 3) yi) (.f32 (pow.f32 (PI.f32) 3) yi)))))
(.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi))
(+.f32 0 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)))
(.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi))
(+.f32 (.f32 0 (/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)))) (.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)))
(.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi))
(+.f32 (.f32 0 (.f32 -4/3 yi)) (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)))
(.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi))
(+.f32 (.f32 0 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 (/.f32 yi yi)))) (.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 yi)))
(.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi))
(+.f32 (.f32 0 (.f32 -4/3 (/.f32 (.f32 (pow.f32 (PI.f32) 3) yi) (.f32 (pow.f32 (PI.f32) 3) yi)))) (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)))
(.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi))
(-.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) 0)
(.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi))
(-.f32 0 (.f32 yi (.f32 (pow.f32 (PI.f32) 3) 4/3)))
(neg.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 yi 4/3)))
(-.f32 (.f32 0 (/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)))) (.f32 (/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi))) (.f32 yi (.f32 (pow.f32 (PI.f32) 3) 4/3))))
(.f32 (/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi))) (neg.f32 (.f32 (pow.f32 (PI.f32) 3) (*.f32 yi 4/3))))
(-.f32 (.f32 0 (.f32 -4/3 (/.f32 (.f32 (pow.f32 (PI.f32) 3) yi) (.f32 (pow.f32 (PI.f32) 3) yi)))) (.f32 (.f32 -4/3 (/.f32 (.f32 (pow.f32 (PI.f32) 3) yi) (.f32 (pow.f32 (PI.f32) 3) yi))) (*.f32 (pow.f32 (PI.f32) 3) (neg.f32 yi))))
(.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi))
(/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) 1)
(.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi))
(/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (/.f32 yi yi))
(.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi))
(/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (/.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 3)))
(.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi))
(/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (/.f32 (.f32 (pow.f32 (PI.f32) 3) yi) (.f32 (pow.f32 (PI.f32) 3) yi)))
(.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi))
(/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi))))
(/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (/.f32 (.f32 (pow.f32 (PI.f32) 3) -4/3) (.f32 (pow.f32 (PI.f32) 3) -4/3)))
(/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (/.f32 (.f32 (pow.f32 (PI.f32) 3) (/.f32 yi yi)) (.f32 (pow.f32 (PI.f32) 3) (/.f32 yi yi))))
(/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (/.f32 (.f32 -4/3 yi) (.f32 -4/3 yi)))
(.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi))
(/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (/.f32 (.f32 -4/3 (/.f32 (.f32 (pow.f32 (PI.f32) 3) yi) (.f32 (pow.f32 (PI.f32) 3) yi))) (.f32 -4/3 (/.f32 (.f32 (pow.f32 (PI.f32) 3) yi) (.f32 (pow.f32 (PI.f32) 3) yi)))))
(.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi))
(/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (/.f32 (/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi))) (/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)))))
(/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 (/.f32 yi yi))) (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 (/.f32 yi yi)))))
(/.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 yi)) (/.f32 (.f32 (/.f32 yi yi) (.f32 (pow.f32 (PI.f32) 3) -4/3)) (.f32 (/.f32 yi yi) (.f32 (pow.f32 (PI.f32) 3) -4/3))))
(/.f32 (.f32 yi (.f32 (pow.f32 (PI.f32) 3) 4/3)) -1)
(neg.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 yi 4/3)))
(neg.f32 (.f32 yi (.f32 (pow.f32 (PI.f32) 3) 4/3)))
(neg.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 yi 4/3)))

eval1.5s (6.7%)

Compiler: Compiled 81211 to 41484 computations (48.9% saved)

prune735.0ms (3.4%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	1242	8	1250
Fresh	3	7	10
Picked	0	1	1
Done	4	0	4
Total	1249	16	1265

Error

0.3b

Counts

1265 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	1.6b	(+.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 (pow.f32 uy 5) (.f32 4/15 (.f32 yi (pow.f32 (PI.f32) 5)))) (+.f32 (.f32 -4/3 (.f32 yi (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3)))) (+.f32 (.f32 -8/315 (.f32 (pow.f32 uy 7) (.f32 yi (pow.f32 (PI.f32) 7)))) (.f32 2 (.f32 uy (.f32 yi (PI.f32)))))))) (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) zi))
	2.3b	(+.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 2 (.f32 yi (.f32 uy (PI.f32)))) (.f32 (pow.f32 uy 3) (.f32 yi (.f32 -4/3 (pow.f32 (PI.f32) 3)))))) (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) zi))
▶	3.5b	(+.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 yi (PI.f32)) (.f32 2 uy))) (.f32 (.f32 (*.f32 (-.f32 1 ux) maxCos) ux) zi))
	0.5b	(+.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 yi (sin.f32 (.f32 2 (.f32 uy (PI.f32)))))) (.f32 (-.f32 (.f32 ux maxCos) (.f32 ux (.f32 ux maxCos))) zi))
▶	0.5b	(+.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 yi (sin.f32 (.f32 2 (.f32 uy (PI.f32)))))) (.f32 (.f32 ux (-.f32 maxCos (*.f32 maxCos ux))) zi))
	3.5b	(+.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 2 (.f32 yi (.f32 uy (PI.f32))))) (.f32 (.f32 (*.f32 (-.f32 1 ux) maxCos) ux) zi))
	3.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 (pow.f32 ux 2) (neg.f32 maxCos)))))) (+.f32 (.f32 2 (.f32 (PI.f32) (.f32 yi uy))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 zi (.f32 ux maxCos))))
	2.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 ux (-.f32 maxCos (.f32 ux maxCos))))))) (+.f32 (+.f32 (.f32 2 (.f32 (PI.f32) (.f32 yi uy))) (.f32 yi (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 (pow.f32 uy 3))))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 zi (.f32 ux maxCos))))
✓	2.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 ux (-.f32 maxCos (.f32 ux maxCos))))))) (+.f32 (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 (pow.f32 uy 3) (.f32 -4/3 (.f32 yi (pow.f32 (PI.f32) 3))))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 zi (.f32 ux maxCos))))
	2.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 ux (-.f32 maxCos (.f32 ux maxCos))))))) (+.f32 (.f32 (+.f32 (.f32 uy (.f32 2 (PI.f32))) (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 (pow.f32 uy 3)))) yi) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 zi (*.f32 ux maxCos))))
▶	0.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 ux (-.f32 maxCos (.f32 ux maxCos))))))) (+.f32 (.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (/.f32 1 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))))) (sin.f32 (.f32 2 (.f32 uy (PI.f32))))) yi) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 zi (*.f32 ux maxCos))))
	3.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 ux (-.f32 maxCos (.f32 ux maxCos))))))) (+.f32 (.f32 2 (.f32 (PI.f32) (.f32 yi uy))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 zi (*.f32 ux maxCos))))
	0.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 maxCos ux))))) (+.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 zi (.f32 ux maxCos))))
▶	3.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 maxCos ux))))) (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 zi (.f32 ux maxCos))))
▶	3.4b	(+.f32 (.f32 (cos.f32 (.f32 (.f32 uy 2) (PI.f32))) (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 maxCos (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (-.f32 1 ux)))))) xi)) (+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 maxCos (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (-.f32 1 ux)))))) (.f32 2 (.f32 (PI.f32) (.f32 uy yi)))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 zi maxCos)))))
	3.4b	(+.f32 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) uy))) (.f32 xi (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))))) (+.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 zi ux)) (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 uy (.f32 (PI.f32) (*.f32 2 yi))))))

Compiler

Compiled 1835 to 1238 computations (32.5% saved)

localize259.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f32 1 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))))
✓	0.3b	(.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (/.f32 1 (sin.f32 (.f32 2 (*.f32 uy (PI.f32))))))
	0.4b	(.f32 uy (.f32 2 (PI.f32)))
	0.4b	(*.f32 uy (PI.f32))

Compiler

Compiled 362 to 158 computations (56.4% saved)

series2.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite98.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1406×	`rational_best_oopsla_all_46_json_45_simplify-76`
844×	`rational_best_oopsla_all_46_json_45_simplify-35`
640×	`rational_best_oopsla_all_46_json_45_simplify-89`
612×	`rational_best_oopsla_all_46_json_45_simplify-23`
552×	`rational_best_oopsla_all_46_json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	74
1	82	74
2	264	74
3	1218	74
4	5593	74

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))) (/.f32 1 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))) (/.f32 1 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))))) (*.f32 0 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))) (/.f32 1 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))) (/.f32 1 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))) (/.f32 1 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))))) (*.f32 0 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))) (sin.f32 (*.f32 2 (*.f32 uy (PI.f32))))) (*.f32 (/.f32 1 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))) (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))) (/.f32 1 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))))) (*.f32 0 (*.f32 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))) (/.f32 (/.f32 1 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32))))) (sin.f32 (*.f32 2 (*.f32 uy (PI.f32))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))) (/.f32 1 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))))) (*.f32 0 (*.f32 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))) (/.f32 (/.f32 1 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32))))) (/.f32 1 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))) (/.f32 1 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))) (sin.f32 (*.f32 2 (*.f32 uy (PI.f32))))) (neg.f32 (/.f32 0 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))) (/.f32 1 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))) (/.f32 1 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))) (/.f32 1 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))) (sin.f32 (*.f32 2 (*.f32 uy (PI.f32))))) (*.f32 (/.f32 1 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))) (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))) (/.f32 1 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (*.f32 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))) (/.f32 (/.f32 1 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32))))) (sin.f32 (*.f32 2 (*.f32 uy (PI.f32))))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))) (/.f32 1 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (*.f32 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))) (/.f32 (/.f32 1 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32))))) (/.f32 1 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))) (/.f32 1 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (/.f32 0 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))) (sin.f32 (*.f32 2 (*.f32 uy (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))) (/.f32 1 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))) (/.f32 -1 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))) (sin.f32 (*.f32 2 (*.f32 uy (PI.f32))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))) (/.f32 -1 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 -1 (*.f32 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))) (/.f32 1 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 (*.f32 (/.f32 1 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32))))) (neg.f32 (/.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))) (sin.f32 (*.f32 2 (*.f32 uy (PI.f32))))) (/.f32 0 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))) (sin.f32 (*.f32 2 (*.f32 uy (PI.f32))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))) (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))))) (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 uy (PI.f32)))) (sin.f32 (*.f32 2 (*.f32 uy (PI.f32))))) (/.f32 0 (sin.f32 (*.f32 2 (*.f32 uy 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simplify92.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1670×	`rational_best_oopsla_all_46_json_45_simplify-37`
1364×	`rational_best_oopsla_all_46_json_45_simplify-13`
816×	`rational_best_oopsla_all_46_json_45_simplify-49`
732×	`rational_best_oopsla_all_46_json_45_simplify-72`
568×	`rational_best_oopsla_all_46_json_45_simplify-7`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	158	3763
1	536	3667
2	2343	3667

Stop Event

1×	node limit

Counts

75 → 92

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
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(neg.f32 (neg.f32 (/.f32 1 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))))))

Outputs
1
1
1
1
1
1
1
1
1
1
1
1
(/.f32 1/2 (*.f32 uy (PI.f32)))
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(.f32 (neg.f32 (/.f32 1 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))))) (neg.f32 (/.f32 (/.f32 1 (sin.f32 (.f32 2 (.f32 uy (PI.f32))))) (/.f32 1 (sin.f32 (.f32 2 (*.f32 uy (PI.f32))))))))
(/.f32 1 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))))
(/.f32 1 (sin.f32 (.f32 uy (.f32 (PI.f32) 2))))
(/.f32 1 (sin.f32 (.f32 (PI.f32) (.f32 2 uy))))
(.f32 -1 (neg.f32 (/.f32 1 (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))))
(/.f32 1 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))))
(/.f32 1 (sin.f32 (.f32 uy (.f32 (PI.f32) 2))))
(/.f32 1 (sin.f32 (.f32 (PI.f32) (.f32 2 uy))))
(.f32 (.f32 (/.f32 1 (sin.f32 (.f32 2 (.f32 uy (PI.f32))))) (/.f32 1 (/.f32 1 (sin.f32 (.f32 2 (.f32 uy (PI.f32))))))) (/.f32 1 (sin.f32 (.f32 2 (.f32 uy (PI.f32))))))
(/.f32 1 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))))
(/.f32 1 (sin.f32 (.f32 uy (.f32 (PI.f32) 2))))
(/.f32 1 (sin.f32 (.f32 (PI.f32) (.f32 2 uy))))
(.f32 (.f32 (/.f32 (/.f32 1 (sin.f32 (.f32 2 (.f32 uy (PI.f32))))) (/.f32 1 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))))) (/.f32 (/.f32 1 (sin.f32 (.f32 2 (.f32 uy (PI.f32))))) (/.f32 1 (sin.f32 (.f32 2 (.f32 uy (PI.f32))))))) (/.f32 1 (sin.f32 (.f32 2 (.f32 uy (PI.f32))))))
(/.f32 1 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))))
(/.f32 1 (sin.f32 (.f32 uy (.f32 (PI.f32) 2))))
(/.f32 1 (sin.f32 (.f32 (PI.f32) (.f32 2 uy))))
(.f32 (neg.f32 (/.f32 (/.f32 1 (sin.f32 (.f32 2 (.f32 uy (PI.f32))))) (/.f32 1 (sin.f32 (.f32 2 (.f32 uy (PI.f32))))))) (neg.f32 (/.f32 1 (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))))
(/.f32 1 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))))
(/.f32 1 (sin.f32 (.f32 uy (.f32 (PI.f32) 2))))
(/.f32 1 (sin.f32 (.f32 (PI.f32) (.f32 2 uy))))
(neg.f32 (neg.f32 (/.f32 1 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))))))
(/.f32 1 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))))
(/.f32 1 (sin.f32 (.f32 uy (.f32 (PI.f32) 2))))
(/.f32 1 (sin.f32 (.f32 (PI.f32) (.f32 2 uy))))

localize156.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 215 to 79 computations (63.3% saved)

series9.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	maxCos	@	0	(.f32 (-.f32 1 ux) (.f32 zi (*.f32 ux maxCos)))
1.0ms	zi	@	0	(.f32 (-.f32 1 ux) (.f32 zi (*.f32 ux maxCos)))
1.0ms	zi	@	inf	(.f32 (-.f32 1 ux) (.f32 zi (*.f32 ux maxCos)))
1.0ms	ux	@	0	(.f32 (-.f32 1 ux) (.f32 zi (*.f32 ux maxCos)))
0.0ms	maxCos	@	inf	(.f32 (-.f32 1 ux) (.f32 zi (*.f32 ux maxCos)))

rewrite102.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1230×	`rational_best_oopsla_all_46_json_45_simplify-89`
1222×	`rational_best_oopsla_all_46_json_45_simplify-13`
1078×	`rational_best_oopsla_all_46_json_45_simplify-37`
952×	`rational_best_oopsla_all_46_json_45_simplify-87`
894×	`rational_best_oopsla_all_46_json_45_simplify-74`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	70	25
2	305	25
3	1815	25

Stop Event

1×	node limit

Counts

1 → 91

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 ux (*.f32 zi maxCos)) (*.f32 ux (*.f32 zi (*.f32 ux (neg.f32 maxCos)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 ux (*.f32 zi maxCos)) (*.f32 1 (*.f32 ux (*.f32 zi (*.f32 ux (neg.f32 maxCos))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 ux (*.f32 zi maxCos)) (+.f32 0 (*.f32 ux (*.f32 zi (*.f32 ux (neg.f32 maxCos))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 ux (*.f32 maxCos (-.f32 zi (*.f32 ux zi)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 ux (*.f32 maxCos (-.f32 zi (*.f32 ux zi)))) (*.f32 (-.f32 zi (*.f32 ux zi)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 ux (*.f32 maxCos (-.f32 zi (*.f32 ux zi)))) (*.f32 (*.f32 (-.f32 1 ux) (/.f32 (*.f32 ux (*.f32 zi maxCos)) (*.f32 ux (*.f32 zi maxCos)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 ux (*.f32 maxCos (-.f32 zi (*.f32 ux zi)))) (*.f32 (*.f32 (-.f32 1 ux) (/.f32 (*.f32 ux (*.f32 zi maxCos)) (-.f32 1 ux))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 ux (*.f32 maxCos (-.f32 zi (*.f32 ux zi)))) (*.f32 (*.f32 (-.f32 1 ux) (*.f32 ux (*.f32 maxCos (/.f32 zi zi)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 ux (*.f32 maxCos (-.f32 zi (*.f32 ux zi)))) (*.f32 (*.f32 ux (*.f32 maxCos (-.f32 zi (*.f32 ux zi)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 ux (*.f32 maxCos (-.f32 zi (*.f32 ux zi)))) (*.f32 (*.f32 maxCos (-.f32 zi (*.f32 ux zi))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 ux (*.f32 maxCos (-.f32 zi (*.f32 ux zi)))) (*.f32 (/.f32 (*.f32 ux (*.f32 maxCos (-.f32 zi (*.f32 ux zi)))) (*.f32 ux (*.f32 maxCos (-.f32 zi (*.f32 ux zi))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 ux (*.f32 maxCos (-.f32 zi (*.f32 ux zi)))) (*.f32 (*.f32 (/.f32 (-.f32 1 ux) (-.f32 1 ux)) (*.f32 ux (*.f32 (*.f32 zi maxCos) (/.f32 (-.f32 1 ux) (-.f32 1 ux))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x 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#<rule egg-rr> (2) ((x -.f32 (*.f32 ux (*.f32 maxCos (-.f32 zi (*.f32 ux zi)))) (*.f32 (*.f32 ux (*.f32 maxCos (-.f32 zi (*.f32 ux zi)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 ux (*.f32 maxCos (-.f32 zi (*.f32 ux zi)))) (*.f32 (*.f32 maxCos (-.f32 zi (*.f32 ux zi))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 ux (*.f32 maxCos (-.f32 zi (*.f32 ux zi)))) (*.f32 (/.f32 (*.f32 ux (*.f32 maxCos (-.f32 zi (*.f32 ux zi)))) (*.f32 ux (*.f32 maxCos (-.f32 zi (*.f32 ux zi))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 ux (*.f32 maxCos (-.f32 zi (*.f32 ux zi)))) (*.f32 (*.f32 (/.f32 (-.f32 1 ux) (-.f32 1 ux)) (*.f32 ux (*.f32 (*.f32 zi maxCos) (/.f32 (-.f32 1 ux) (-.f32 1 ux))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 ux (*.f32 maxCos (-.f32 zi (*.f32 ux zi)))) (*.f32 (neg.f32 (*.f32 ux (*.f32 (*.f32 zi maxCos) (/.f32 (-.f32 1 ux) (-.f32 1 ux))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 ux (*.f32 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(#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (*.f32 ux (*.f32 ux (*.f32 zi maxCos))) -1) (*.f32 zi (*.f32 ux (neg.f32 maxCos))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 ux (neg.f32 (*.f32 ux (*.f32 (*.f32 zi maxCos) (/.f32 (-.f32 1 ux) (-.f32 1 ux)))))) (neg.f32 (*.f32 ux (*.f32 (*.f32 zi maxCos) (/.f32 (-.f32 1 ux) (-.f32 1 ux))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 1 (neg.f32 (*.f32 zi (*.f32 ux (neg.f32 maxCos))))) (*.f32 ux (*.f32 ux (*.f32 zi maxCos))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 0 (neg.f32 (*.f32 zi (*.f32 ux (neg.f32 maxCos))))) (*.f32 (*.f32 ux (*.f32 zi maxCos)) (+.f32 ux -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 0 (*.f32 (-.f32 1 ux) (/.f32 (*.f32 ux (*.f32 zi maxCos)) (*.f32 ux (*.f32 zi maxCos))))) (*.f32 (*.f32 (-.f32 1 ux) (/.f32 (*.f32 ux (*.f32 zi maxCos)) (*.f32 ux (*.f32 zi maxCos)))) (*.f32 zi (*.f32 ux (neg.f32 maxCos)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 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(*.f32 ux maxCos))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 ux (*.f32 maxCos (-.f32 zi (*.f32 ux zi)))) (/.f32 (*.f32 maxCos (-.f32 zi (*.f32 ux zi))) (*.f32 maxCos (-.f32 zi (*.f32 ux zi)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 ux (*.f32 maxCos (-.f32 zi (*.f32 ux zi)))) (/.f32 (-.f32 zi (*.f32 ux zi)) (-.f32 zi (*.f32 ux zi))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 ux (*.f32 maxCos (-.f32 zi (*.f32 ux zi)))) (/.f32 (*.f32 (-.f32 1 ux) (/.f32 (*.f32 ux (*.f32 zi maxCos)) (-.f32 1 ux))) (*.f32 (-.f32 1 ux) (/.f32 (*.f32 ux (*.f32 zi maxCos)) (-.f32 1 ux)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 ux (*.f32 maxCos (-.f32 zi (*.f32 ux zi)))) (/.f32 (*.f32 (-.f32 1 ux) (/.f32 (*.f32 ux (*.f32 zi maxCos)) (*.f32 ux (*.f32 zi maxCos)))) (*.f32 (-.f32 1 ux) (/.f32 (*.f32 ux (*.f32 zi maxCos)) (*.f32 ux (*.f32 zi maxCos))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 ux (*.f32 maxCos (-.f32 zi (*.f32 ux zi)))) (/.f32 (*.f32 (-.f32 1 ux) (*.f32 ux (*.f32 maxCos (/.f32 zi zi)))) (*.f32 (-.f32 1 ux) (*.f32 ux (*.f32 maxCos (/.f32 zi zi))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 ux (*.f32 maxCos (-.f32 zi (*.f32 ux zi)))) (/.f32 (*.f32 (/.f32 (-.f32 1 ux) (-.f32 1 ux)) (*.f32 ux (*.f32 (*.f32 zi maxCos) (/.f32 (-.f32 1 ux) (-.f32 1 ux))))) (*.f32 (/.f32 (-.f32 1 ux) (-.f32 1 ux)) (*.f32 ux (*.f32 (*.f32 zi maxCos) (/.f32 (-.f32 1 ux) (-.f32 1 ux)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 ux (*.f32 maxCos (-.f32 zi (*.f32 ux zi)))) (/.f32 (/.f32 (*.f32 ux (*.f32 maxCos (-.f32 zi (*.f32 ux zi)))) (*.f32 ux (*.f32 maxCos (-.f32 zi (*.f32 ux zi))))) (/.f32 (*.f32 ux (*.f32 maxCos (-.f32 zi (*.f32 ux zi)))) (*.f32 ux (*.f32 maxCos (-.f32 zi (*.f32 ux zi)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 ux (*.f32 maxCos (-.f32 zi (*.f32 ux zi)))) (/.f32 (neg.f32 (*.f32 zi (*.f32 ux (neg.f32 maxCos)))) (neg.f32 (*.f32 zi (*.f32 ux (neg.f32 maxCos))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (*.f32 ux (*.f32 zi maxCos)) (+.f32 ux -1)))))))

simplify157.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1144×	`rational_best_oopsla_all_46_json_45_simplify-23`
930×	`rational_best_oopsla_all_46_json_45_simplify-72`
716×	`rational_best_oopsla_all_46_json_45_simplify-7`
714×	`rational_best_oopsla_all_46_json_45_simplify-89`
702×	`rational_best_oopsla_all_46_json_45_simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	211	4403
1	812	4237
2	3365	4129

Stop Event

1×	node limit

Counts

127 → 138

Calls

Call 1

Inputs
(.f32 maxCos (.f32 ux zi))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 (pow.f32 ux 2) zi))) (.f32 maxCos (*.f32 ux zi)))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 (pow.f32 ux 2) zi))) (.f32 maxCos (*.f32 ux zi)))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 (pow.f32 ux 2) zi))) (.f32 maxCos (*.f32 ux zi)))
(.f32 -1 (.f32 maxCos (*.f32 (pow.f32 ux 2) zi)))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 (pow.f32 ux 2) zi))) (.f32 maxCos (*.f32 ux zi)))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 (pow.f32 ux 2) zi))) (.f32 maxCos (*.f32 ux zi)))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 (pow.f32 ux 2) zi))) (.f32 maxCos (*.f32 ux zi)))
(.f32 -1 (.f32 maxCos (*.f32 (pow.f32 ux 2) zi)))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 (pow.f32 ux 2) zi))) (.f32 maxCos (*.f32 ux zi)))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 (pow.f32 ux 2) zi))) (.f32 maxCos (*.f32 ux zi)))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 (pow.f32 ux 2) zi))) (.f32 maxCos (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(+.f32 (.f32 ux (.f32 zi maxCos)) (.f32 ux (.f32 zi (*.f32 ux (neg.f32 maxCos)))))
(+.f32 (.f32 ux (.f32 zi maxCos)) (.f32 1 (.f32 ux (.f32 zi (.f32 ux (neg.f32 maxCos))))))
(+.f32 (.f32 ux (.f32 zi maxCos)) (+.f32 0 (.f32 ux (.f32 zi (*.f32 ux (neg.f32 maxCos))))))
(+.f32 (.f32 ux (.f32 maxCos (-.f32 zi (*.f32 ux zi)))) 0)
(+.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 (-.f32 zi (*.f32 ux zi)) 0))
(+.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 (.f32 (-.f32 1 ux) (/.f32 (.f32 ux (.f32 zi maxCos)) (.f32 ux (*.f32 zi maxCos)))) 0))
(+.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 (.f32 (-.f32 1 ux) (/.f32 (.f32 ux (*.f32 zi maxCos)) (-.f32 1 ux))) 0))
(+.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 (.f32 (-.f32 1 ux) (.f32 ux (*.f32 maxCos (/.f32 zi zi)))) 0))
(+.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 (.f32 ux (.f32 maxCos (-.f32 zi (*.f32 ux zi)))) 0))
(+.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 (.f32 maxCos (-.f32 zi (.f32 ux zi))) 0))
(+.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 (/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi))))) 0))
(+.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 (.f32 (/.f32 (-.f32 1 ux) (-.f32 1 ux)) (.f32 ux (.f32 (.f32 zi maxCos) (/.f32 (-.f32 1 ux) (-.f32 1 ux))))) 0))
(+.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 (neg.f32 (.f32 ux (.f32 (*.f32 zi maxCos) (/.f32 (-.f32 1 ux) (-.f32 1 ux))))) 0))
(+.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 (.f32 (.f32 ux maxCos) (+.f32 ux -1)) 0))
(+.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 (neg.f32 (.f32 zi (.f32 ux (neg.f32 maxCos)))) 0))
(+.f32 0 (.f32 ux (.f32 maxCos (-.f32 zi (*.f32 ux zi)))))
(+.f32 (.f32 ux (.f32 (.f32 zi maxCos) (/.f32 (-.f32 1 ux) (-.f32 1 ux)))) (.f32 (/.f32 (-.f32 1 ux) (-.f32 1 ux)) (.f32 ux (.f32 zi (*.f32 ux (neg.f32 maxCos))))))
(+.f32 (.f32 ux (.f32 zi (.f32 ux (neg.f32 maxCos)))) (.f32 ux (*.f32 zi maxCos)))
(+.f32 (.f32 0 (-.f32 zi (.f32 ux zi))) (.f32 ux (.f32 maxCos (-.f32 zi (*.f32 ux zi)))))
(+.f32 (.f32 (.f32 ux (.f32 zi maxCos)) (/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))))) (.f32 (/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi))))) (.f32 ux (.f32 zi (*.f32 ux (neg.f32 maxCos))))))
(+.f32 (.f32 0 (/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))))) (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))))
(+.f32 (.f32 0 (.f32 (-.f32 1 ux) (/.f32 (.f32 ux (.f32 zi maxCos)) (-.f32 1 ux)))) (.f32 ux (.f32 maxCos (-.f32 zi (*.f32 ux zi)))))
(+.f32 (.f32 0 (.f32 (/.f32 (-.f32 1 ux) (-.f32 1 ux)) (.f32 ux (.f32 (.f32 zi maxCos) (/.f32 (-.f32 1 ux) (-.f32 1 ux)))))) (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))))
(+.f32 (.f32 ux (neg.f32 (.f32 ux (.f32 (.f32 zi maxCos) (/.f32 (-.f32 1 ux) (-.f32 1 ux)))))) (.f32 (neg.f32 (.f32 ux (.f32 (.f32 zi maxCos) (/.f32 (-.f32 1 ux) (-.f32 1 ux))))) -1))
(+.f32 (.f32 0 (neg.f32 (.f32 zi (.f32 ux (neg.f32 maxCos))))) (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))))
(+.f32 (.f32 0 (.f32 (-.f32 1 ux) (.f32 ux (.f32 maxCos (/.f32 zi zi))))) (.f32 ux (.f32 maxCos (-.f32 zi (*.f32 ux zi)))))
(+.f32 (.f32 0 (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))))
(+.f32 (.f32 0 (.f32 (-.f32 1 ux) (/.f32 (.f32 ux (.f32 zi maxCos)) (.f32 ux (.f32 zi maxCos))))) (.f32 ux (.f32 maxCos (-.f32 zi (*.f32 ux zi)))))
(-.f32 (.f32 ux (.f32 zi maxCos)) (.f32 ux (.f32 ux (*.f32 zi maxCos))))
(-.f32 (.f32 ux (.f32 zi maxCos)) (.f32 zi (.f32 ux (*.f32 ux maxCos))))
(-.f32 (.f32 ux (.f32 maxCos (-.f32 zi (*.f32 ux zi)))) 0)
(-.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 (-.f32 zi (*.f32 ux zi)) 0))
(-.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 (.f32 (-.f32 1 ux) (/.f32 (.f32 ux (.f32 zi maxCos)) (.f32 ux (*.f32 zi maxCos)))) 0))
(-.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 (.f32 (-.f32 1 ux) (/.f32 (.f32 ux (*.f32 zi maxCos)) (-.f32 1 ux))) 0))
(-.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 (.f32 (-.f32 1 ux) (.f32 ux (*.f32 maxCos (/.f32 zi zi)))) 0))
(-.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 (.f32 ux (.f32 maxCos (-.f32 zi (*.f32 ux zi)))) 0))
(-.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 (.f32 maxCos (-.f32 zi (.f32 ux zi))) 0))
(-.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 (/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi))))) 0))
(-.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 (.f32 (/.f32 (-.f32 1 ux) (-.f32 1 ux)) (.f32 ux (.f32 (.f32 zi maxCos) (/.f32 (-.f32 1 ux) (-.f32 1 ux))))) 0))
(-.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 (neg.f32 (.f32 ux (.f32 (*.f32 zi maxCos) (/.f32 (-.f32 1 ux) (-.f32 1 ux))))) 0))
(-.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 (.f32 (.f32 ux maxCos) (+.f32 ux -1)) 0))
(-.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 (neg.f32 (.f32 zi (.f32 ux (neg.f32 maxCos)))) 0))
(-.f32 0 (.f32 (.f32 ux (*.f32 zi maxCos)) (+.f32 ux -1)))
(-.f32 0 (.f32 1 (.f32 (.f32 ux (.f32 zi maxCos)) (+.f32 ux -1))))
(-.f32 0 (.f32 zi (.f32 (*.f32 ux maxCos) (+.f32 ux -1))))
(-.f32 0 (.f32 (/.f32 (-.f32 1 ux) (-.f32 1 ux)) (.f32 (.f32 ux (.f32 zi maxCos)) (+.f32 ux -1))))
(-.f32 0 (.f32 (neg.f32 zi) (.f32 (-.f32 1 ux) (*.f32 ux maxCos))))
(-.f32 0 (.f32 -1 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi))))))
(-.f32 0 (.f32 (.f32 (*.f32 ux maxCos) (+.f32 ux -1)) zi))
(-.f32 (.f32 ux (.f32 (.f32 zi maxCos) (/.f32 (-.f32 1 ux) (-.f32 1 ux)))) (.f32 ux (.f32 ux (.f32 (*.f32 zi maxCos) (/.f32 (-.f32 1 ux) (-.f32 1 ux))))))
(-.f32 (.f32 ux (.f32 (.f32 zi maxCos) (/.f32 (-.f32 1 ux) (-.f32 1 ux)))) (.f32 1 (.f32 ux (.f32 ux (.f32 (.f32 zi maxCos) (/.f32 (-.f32 1 ux) (-.f32 1 ux)))))))
(-.f32 (.f32 ux (.f32 (.f32 zi maxCos) (/.f32 (-.f32 1 ux) (-.f32 1 ux)))) (.f32 (/.f32 (-.f32 1 ux) (-.f32 1 ux)) (.f32 ux (.f32 ux (*.f32 zi maxCos)))))
(-.f32 (.f32 (-.f32 1 ux) (/.f32 (.f32 ux (.f32 zi maxCos)) (-.f32 1 ux))) (.f32 (.f32 (-.f32 1 ux) (/.f32 (.f32 ux (*.f32 zi maxCos)) (-.f32 1 ux))) ux))
(-.f32 (.f32 (/.f32 (-.f32 1 ux) (-.f32 1 ux)) (.f32 ux (.f32 (.f32 zi maxCos) (/.f32 (-.f32 1 ux) (-.f32 1 ux))))) (.f32 (/.f32 (-.f32 1 ux) (-.f32 1 ux)) (.f32 ux (.f32 ux (.f32 (*.f32 zi maxCos) (/.f32 (-.f32 1 ux) (-.f32 1 ux)))))))
(-.f32 (.f32 (/.f32 (-.f32 1 ux) (-.f32 1 ux)) (.f32 ux (.f32 (.f32 zi maxCos) (/.f32 (-.f32 1 ux) (-.f32 1 ux))))) (.f32 (.f32 (/.f32 (-.f32 1 ux) (-.f32 1 ux)) (.f32 ux (.f32 (*.f32 zi maxCos) (/.f32 (-.f32 1 ux) (-.f32 1 ux))))) ux))
(-.f32 (.f32 ux (.f32 zi (.f32 ux (neg.f32 maxCos)))) (.f32 zi (*.f32 ux (neg.f32 maxCos))))
(-.f32 (.f32 (.f32 ux (.f32 zi (.f32 ux (neg.f32 maxCos)))) (/.f32 (-.f32 1 ux) (-.f32 1 ux))) (.f32 (/.f32 (-.f32 1 ux) (-.f32 1 ux)) (.f32 zi (*.f32 ux (neg.f32 maxCos)))))
(-.f32 (.f32 0 (-.f32 zi (.f32 ux zi))) (.f32 (-.f32 zi (.f32 ux zi)) (*.f32 ux (neg.f32 maxCos))))
(-.f32 (.f32 (.f32 ux (.f32 zi maxCos)) (/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))))) (.f32 (/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi))))) (.f32 ux (.f32 ux (*.f32 zi maxCos)))))
(-.f32 (.f32 0 (/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))))) (.f32 (/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi))))) (.f32 (.f32 ux (*.f32 zi maxCos)) (+.f32 ux -1))))
(-.f32 (.f32 (.f32 ux (.f32 (.f32 zi maxCos) (/.f32 (-.f32 1 ux) (-.f32 1 ux)))) (/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))))) (.f32 (/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi))))) (.f32 ux (.f32 ux (.f32 (*.f32 zi maxCos) (/.f32 (-.f32 1 ux) (-.f32 1 ux)))))))
(-.f32 (.f32 (.f32 ux (.f32 zi (.f32 ux (neg.f32 maxCos)))) (/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))))) (.f32 (/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi))))) (.f32 zi (*.f32 ux (neg.f32 maxCos)))))
(-.f32 (.f32 0 (.f32 (-.f32 1 ux) (/.f32 (.f32 ux (.f32 zi maxCos)) (-.f32 1 ux)))) (.f32 (.f32 (-.f32 1 ux) (/.f32 (.f32 ux (.f32 zi maxCos)) (-.f32 1 ux))) (+.f32 ux -1)))
(-.f32 (.f32 0 (.f32 (/.f32 (-.f32 1 ux) (-.f32 1 ux)) (.f32 ux (.f32 (.f32 zi maxCos) (/.f32 (-.f32 1 ux) (-.f32 1 ux)))))) (.f32 (.f32 (/.f32 (-.f32 1 ux) (-.f32 1 ux)) (.f32 ux (.f32 (.f32 zi maxCos) (/.f32 (-.f32 1 ux) (-.f32 1 ux))))) (+.f32 ux -1)))
(-.f32 (.f32 (.f32 ux (.f32 ux (.f32 zi maxCos))) -1) (.f32 zi (.f32 ux (neg.f32 maxCos))))
(-.f32 (.f32 ux (neg.f32 (.f32 ux (.f32 (.f32 zi maxCos) (/.f32 (-.f32 1 ux) (-.f32 1 ux)))))) (neg.f32 (.f32 ux (.f32 (*.f32 zi maxCos) (/.f32 (-.f32 1 ux) (-.f32 1 ux))))))
(-.f32 (.f32 1 (neg.f32 (.f32 zi (.f32 ux (neg.f32 maxCos))))) (.f32 ux (.f32 ux (.f32 zi maxCos))))
(-.f32 (.f32 0 (neg.f32 (.f32 zi (.f32 ux (neg.f32 maxCos))))) (.f32 (.f32 ux (.f32 zi maxCos)) (+.f32 ux -1)))
(-.f32 (.f32 0 (.f32 (-.f32 1 ux) (/.f32 (.f32 ux (.f32 zi maxCos)) (.f32 ux (.f32 zi maxCos))))) (.f32 (.f32 (-.f32 1 ux) (/.f32 (.f32 ux (.f32 zi maxCos)) (.f32 ux (.f32 zi maxCos)))) (.f32 zi (.f32 ux (neg.f32 maxCos)))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (*.f32 ux zi)))) 1)
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (*.f32 ux zi)))) (/.f32 zi zi))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (*.f32 ux zi)))) (/.f32 (-.f32 1 ux) (-.f32 1 ux)))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (*.f32 ux zi)))) (/.f32 ux ux))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (/.f32 (.f32 ux maxCos) (*.f32 ux maxCos)))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (*.f32 ux zi)))) (/.f32 maxCos maxCos))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (/.f32 (.f32 ux (.f32 zi maxCos)) (.f32 ux (*.f32 zi maxCos))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 ux (.f32 maxCos (-.f32 zi (*.f32 ux zi))))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (/.f32 (.f32 zi maxCos) (*.f32 zi maxCos)))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (/.f32 (.f32 ux (.f32 maxCos (/.f32 zi zi))) (.f32 ux (*.f32 maxCos (/.f32 zi zi)))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (*.f32 ux zi)))) (/.f32 (/.f32 (-.f32 1 ux) (-.f32 1 ux)) (/.f32 (-.f32 1 ux) (-.f32 1 ux))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (/.f32 (.f32 ux (.f32 (.f32 zi maxCos) (/.f32 (-.f32 1 ux) (-.f32 1 ux)))) (.f32 ux (.f32 (*.f32 zi maxCos) (/.f32 (-.f32 1 ux) (-.f32 1 ux))))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (/.f32 (.f32 (-.f32 1 ux) (.f32 ux maxCos)) (.f32 (-.f32 1 ux) (*.f32 ux maxCos))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (/.f32 (.f32 maxCos (-.f32 zi (.f32 ux zi))) (.f32 maxCos (-.f32 zi (*.f32 ux zi)))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (/.f32 (-.f32 zi (.f32 ux zi)) (-.f32 zi (*.f32 ux zi))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (/.f32 (.f32 (-.f32 1 ux) (/.f32 (.f32 ux (.f32 zi maxCos)) (-.f32 1 ux))) (.f32 (-.f32 1 ux) (/.f32 (.f32 ux (*.f32 zi maxCos)) (-.f32 1 ux)))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (/.f32 (.f32 (-.f32 1 ux) (/.f32 (.f32 ux (.f32 zi maxCos)) (.f32 ux (.f32 zi maxCos)))) (.f32 (-.f32 1 ux) (/.f32 (.f32 ux (.f32 zi maxCos)) (.f32 ux (*.f32 zi maxCos))))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (/.f32 (.f32 (-.f32 1 ux) (.f32 ux (.f32 maxCos (/.f32 zi zi)))) (.f32 (-.f32 1 ux) (.f32 ux (*.f32 maxCos (/.f32 zi zi))))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (/.f32 (.f32 (/.f32 (-.f32 1 ux) (-.f32 1 ux)) (.f32 ux (.f32 (.f32 zi maxCos) (/.f32 (-.f32 1 ux) (-.f32 1 ux))))) (.f32 (/.f32 (-.f32 1 ux) (-.f32 1 ux)) (.f32 ux (.f32 (*.f32 zi maxCos) (/.f32 (-.f32 1 ux) (-.f32 1 ux)))))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (/.f32 (/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi))))) (/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 ux (.f32 maxCos (-.f32 zi (*.f32 ux zi)))))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (/.f32 (neg.f32 (.f32 zi (.f32 ux (neg.f32 maxCos)))) (neg.f32 (.f32 zi (*.f32 ux (neg.f32 maxCos))))))
(neg.f32 (.f32 (.f32 ux (*.f32 zi maxCos)) (+.f32 ux -1)))

Outputs
(.f32 maxCos (.f32 ux zi))
(.f32 ux (.f32 maxCos zi))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 (pow.f32 ux 2) zi))) (.f32 maxCos (*.f32 ux zi)))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 zi (pow.f32 ux 2)))) (.f32 ux (*.f32 maxCos zi)))
(.f32 maxCos (+.f32 (.f32 ux zi) (*.f32 (pow.f32 ux 2) (neg.f32 zi))))
(.f32 maxCos (.f32 zi (+.f32 ux (*.f32 -1 (pow.f32 ux 2)))))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 (pow.f32 ux 2) zi))) (.f32 maxCos (*.f32 ux zi)))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 zi (pow.f32 ux 2)))) (.f32 ux (*.f32 maxCos zi)))
(.f32 maxCos (+.f32 (.f32 ux zi) (*.f32 (pow.f32 ux 2) (neg.f32 zi))))
(.f32 maxCos (.f32 zi (+.f32 ux (*.f32 -1 (pow.f32 ux 2)))))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 (pow.f32 ux 2) zi))) (.f32 maxCos (*.f32 ux zi)))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 zi (pow.f32 ux 2)))) (.f32 ux (*.f32 maxCos zi)))
(.f32 maxCos (+.f32 (.f32 ux zi) (*.f32 (pow.f32 ux 2) (neg.f32 zi))))
(.f32 maxCos (.f32 zi (+.f32 ux (*.f32 -1 (pow.f32 ux 2)))))
(.f32 -1 (.f32 maxCos (*.f32 (pow.f32 ux 2) zi)))
(.f32 -1 (.f32 maxCos (*.f32 zi (pow.f32 ux 2))))
(.f32 maxCos (.f32 (pow.f32 ux 2) (neg.f32 zi)))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 (pow.f32 ux 2) zi))) (.f32 maxCos (*.f32 ux zi)))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 zi (pow.f32 ux 2)))) (.f32 ux (*.f32 maxCos zi)))
(.f32 maxCos (+.f32 (.f32 ux zi) (*.f32 (pow.f32 ux 2) (neg.f32 zi))))
(.f32 maxCos (.f32 zi (+.f32 ux (*.f32 -1 (pow.f32 ux 2)))))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 (pow.f32 ux 2) zi))) (.f32 maxCos (*.f32 ux zi)))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 zi (pow.f32 ux 2)))) (.f32 ux (*.f32 maxCos zi)))
(.f32 maxCos (+.f32 (.f32 ux zi) (*.f32 (pow.f32 ux 2) (neg.f32 zi))))
(.f32 maxCos (.f32 zi (+.f32 ux (*.f32 -1 (pow.f32 ux 2)))))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 (pow.f32 ux 2) zi))) (.f32 maxCos (*.f32 ux zi)))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 zi (pow.f32 ux 2)))) (.f32 ux (*.f32 maxCos zi)))
(.f32 maxCos (+.f32 (.f32 ux zi) (*.f32 (pow.f32 ux 2) (neg.f32 zi))))
(.f32 maxCos (.f32 zi (+.f32 ux (*.f32 -1 (pow.f32 ux 2)))))
(.f32 -1 (.f32 maxCos (*.f32 (pow.f32 ux 2) zi)))
(.f32 -1 (.f32 maxCos (*.f32 zi (pow.f32 ux 2))))
(.f32 maxCos (.f32 (pow.f32 ux 2) (neg.f32 zi)))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 (pow.f32 ux 2) zi))) (.f32 maxCos (*.f32 ux zi)))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 zi (pow.f32 ux 2)))) (.f32 ux (*.f32 maxCos zi)))
(.f32 maxCos (+.f32 (.f32 ux zi) (*.f32 (pow.f32 ux 2) (neg.f32 zi))))
(.f32 maxCos (.f32 zi (+.f32 ux (*.f32 -1 (pow.f32 ux 2)))))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 (pow.f32 ux 2) zi))) (.f32 maxCos (*.f32 ux zi)))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 zi (pow.f32 ux 2)))) (.f32 ux (*.f32 maxCos zi)))
(.f32 maxCos (+.f32 (.f32 ux zi) (*.f32 (pow.f32 ux 2) (neg.f32 zi))))
(.f32 maxCos (.f32 zi (+.f32 ux (*.f32 -1 (pow.f32 ux 2)))))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 (pow.f32 ux 2) zi))) (.f32 maxCos (*.f32 ux zi)))
(+.f32 (.f32 -1 (.f32 maxCos (.f32 zi (pow.f32 ux 2)))) (.f32 ux (*.f32 maxCos zi)))
(.f32 maxCos (+.f32 (.f32 ux zi) (*.f32 (pow.f32 ux 2) (neg.f32 zi))))
(.f32 maxCos (.f32 zi (+.f32 ux (*.f32 -1 (pow.f32 ux 2)))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(+.f32 (.f32 ux (.f32 zi maxCos)) (.f32 ux (.f32 zi (*.f32 ux (neg.f32 maxCos)))))
(+.f32 (.f32 ux (.f32 maxCos zi)) (.f32 ux (.f32 ux (*.f32 zi (neg.f32 maxCos)))))
(.f32 ux (+.f32 (.f32 maxCos zi) (.f32 ux (.f32 maxCos (neg.f32 zi)))))
(.f32 ux (.f32 zi (+.f32 maxCos (*.f32 ux (neg.f32 maxCos)))))
(+.f32 (.f32 ux (.f32 zi maxCos)) (.f32 1 (.f32 ux (.f32 zi (.f32 ux (neg.f32 maxCos))))))
(+.f32 (.f32 ux (.f32 maxCos zi)) (.f32 ux (.f32 ux (*.f32 zi (neg.f32 maxCos)))))
(.f32 ux (+.f32 (.f32 maxCos zi) (.f32 ux (.f32 maxCos (neg.f32 zi)))))
(.f32 ux (.f32 zi (+.f32 maxCos (*.f32 ux (neg.f32 maxCos)))))
(+.f32 (.f32 ux (.f32 zi maxCos)) (+.f32 0 (.f32 ux (.f32 zi (*.f32 ux (neg.f32 maxCos))))))
(+.f32 (.f32 ux (.f32 maxCos zi)) (.f32 ux (.f32 ux (*.f32 zi (neg.f32 maxCos)))))
(.f32 ux (+.f32 (.f32 maxCos zi) (.f32 ux (.f32 maxCos (neg.f32 zi)))))
(.f32 ux (.f32 zi (+.f32 maxCos (*.f32 ux (neg.f32 maxCos)))))
(+.f32 (.f32 ux (.f32 maxCos (-.f32 zi (*.f32 ux zi)))) 0)
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(+.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 (-.f32 zi (*.f32 ux zi)) 0))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(+.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 (.f32 (-.f32 1 ux) (/.f32 (.f32 ux (.f32 zi maxCos)) (.f32 ux (*.f32 zi maxCos)))) 0))
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(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(-.f32 (.f32 0 (-.f32 zi (.f32 ux zi))) (.f32 (-.f32 zi (.f32 ux zi)) (*.f32 ux (neg.f32 maxCos))))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(-.f32 (.f32 (.f32 ux (.f32 zi maxCos)) (/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))))) (.f32 (/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi))))) (.f32 ux (.f32 ux (*.f32 zi maxCos)))))
(.f32 (/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi))))) (-.f32 (.f32 ux (.f32 maxCos zi)) (.f32 ux (.f32 ux (.f32 maxCos zi)))))
(.f32 (.f32 maxCos (.f32 ux (-.f32 zi (.f32 ux zi)))) (/.f32 (.f32 maxCos (.f32 ux (-.f32 zi (.f32 ux zi)))) (.f32 maxCos (.f32 ux (-.f32 zi (.f32 ux zi))))))
(-.f32 (.f32 0 (/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))))) (.f32 (/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi))))) (.f32 (.f32 ux (*.f32 zi maxCos)) (+.f32 ux -1))))
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(-.f32 (.f32 (.f32 ux (.f32 zi (.f32 ux (neg.f32 maxCos)))) (/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))))) (.f32 (/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi))))) (.f32 zi (*.f32 ux (neg.f32 maxCos)))))
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(-.f32 (.f32 1 (neg.f32 (.f32 ux (.f32 zi (neg.f32 maxCos))))) (.f32 ux (.f32 ux (.f32 maxCos zi))))
(-.f32 (neg.f32 (.f32 ux (.f32 maxCos (neg.f32 zi)))) (.f32 ux (.f32 maxCos (*.f32 ux zi))))
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(-.f32 (.f32 0 (neg.f32 (.f32 zi (.f32 ux (neg.f32 maxCos))))) (.f32 (.f32 ux (.f32 zi maxCos)) (+.f32 ux -1)))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(-.f32 (.f32 0 (.f32 (-.f32 1 ux) (/.f32 (.f32 ux (.f32 zi maxCos)) (.f32 ux (.f32 zi maxCos))))) (.f32 (.f32 (-.f32 1 ux) (/.f32 (.f32 ux (.f32 zi maxCos)) (.f32 ux (.f32 zi maxCos)))) (.f32 zi (.f32 ux (neg.f32 maxCos)))))
(.f32 (.f32 (-.f32 1 ux) (/.f32 (.f32 ux (.f32 maxCos zi)) (.f32 ux (.f32 maxCos zi)))) (neg.f32 (.f32 ux (.f32 zi (neg.f32 maxCos)))))
(.f32 (.f32 (-.f32 1 ux) (/.f32 (.f32 maxCos (.f32 ux zi)) (.f32 maxCos (.f32 ux zi)))) (neg.f32 (.f32 ux (.f32 maxCos (neg.f32 zi)))))
(neg.f32 (.f32 (/.f32 (.f32 maxCos (.f32 ux zi)) (.f32 maxCos (.f32 ux zi))) (.f32 maxCos (.f32 (+.f32 ux -1) (.f32 ux zi)))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (*.f32 ux zi)))) 1)
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (*.f32 ux zi)))) (/.f32 zi zi))
(/.f32 (.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi)))) (/.f32 zi zi))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (*.f32 ux zi)))) (/.f32 (-.f32 1 ux) (-.f32 1 ux)))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (*.f32 ux zi)))) (/.f32 ux ux))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (/.f32 (.f32 ux maxCos) (*.f32 ux maxCos)))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (/.f32 (.f32 maxCos ux) (*.f32 maxCos ux)))
(/.f32 (.f32 maxCos (.f32 ux (-.f32 zi (.f32 ux zi)))) (/.f32 (.f32 maxCos ux) (*.f32 maxCos ux)))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (*.f32 ux zi)))) (/.f32 maxCos maxCos))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (/.f32 (.f32 ux (.f32 zi maxCos)) (.f32 ux (*.f32 zi maxCos))))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 ux (.f32 maxCos (-.f32 zi (*.f32 ux zi))))))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (/.f32 (.f32 zi maxCos) (*.f32 zi maxCos)))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (/.f32 (.f32 maxCos zi) (*.f32 maxCos zi)))
(/.f32 (.f32 maxCos (.f32 ux (-.f32 zi (.f32 ux zi)))) (/.f32 (.f32 maxCos zi) (*.f32 maxCos zi)))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (/.f32 (.f32 ux (.f32 maxCos (/.f32 zi zi))) (.f32 ux (*.f32 maxCos (/.f32 zi zi)))))
(/.f32 (.f32 maxCos (.f32 ux (-.f32 zi (.f32 ux zi)))) (/.f32 (.f32 maxCos (.f32 ux (/.f32 zi zi))) (.f32 maxCos (*.f32 ux (/.f32 zi zi)))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (*.f32 ux zi)))) (/.f32 (/.f32 (-.f32 1 ux) (-.f32 1 ux)) (/.f32 (-.f32 1 ux) (-.f32 1 ux))))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (/.f32 (.f32 ux (.f32 (.f32 zi maxCos) (/.f32 (-.f32 1 ux) (-.f32 1 ux)))) (.f32 ux (.f32 (*.f32 zi maxCos) (/.f32 (-.f32 1 ux) (-.f32 1 ux))))))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (/.f32 (.f32 (-.f32 1 ux) (.f32 ux maxCos)) (.f32 (-.f32 1 ux) (*.f32 ux maxCos))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (/.f32 (.f32 (-.f32 1 ux) (.f32 maxCos ux)) (.f32 (-.f32 1 ux) (*.f32 maxCos ux))))
(/.f32 (.f32 maxCos (.f32 ux (-.f32 zi (.f32 ux zi)))) (/.f32 (.f32 maxCos (.f32 (-.f32 1 ux) ux)) (.f32 maxCos (*.f32 (-.f32 1 ux) ux))))
(/.f32 (.f32 maxCos (.f32 ux (-.f32 zi (.f32 ux zi)))) (/.f32 (.f32 maxCos (.f32 (+.f32 ux -1) ux)) (.f32 maxCos (*.f32 (+.f32 ux -1) ux))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (/.f32 (.f32 maxCos (-.f32 zi (.f32 ux zi))) (.f32 maxCos (-.f32 zi (*.f32 ux zi)))))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (/.f32 (-.f32 zi (.f32 ux zi)) (-.f32 zi (*.f32 ux zi))))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (/.f32 (.f32 (-.f32 1 ux) (/.f32 (.f32 ux (.f32 zi maxCos)) (-.f32 1 ux))) (.f32 (-.f32 1 ux) (/.f32 (.f32 ux (*.f32 zi maxCos)) (-.f32 1 ux)))))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (/.f32 (.f32 (-.f32 1 ux) (/.f32 (.f32 ux (.f32 zi maxCos)) (.f32 ux (.f32 zi maxCos)))) (.f32 (-.f32 1 ux) (/.f32 (.f32 ux (.f32 zi maxCos)) (.f32 ux (*.f32 zi maxCos))))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (/.f32 (.f32 (-.f32 1 ux) (/.f32 (.f32 ux (.f32 maxCos zi)) (.f32 ux (.f32 maxCos zi)))) (.f32 (-.f32 1 ux) (/.f32 (.f32 ux (.f32 maxCos zi)) (.f32 ux (*.f32 maxCos zi))))))
(/.f32 (.f32 maxCos (.f32 ux (-.f32 zi (.f32 ux zi)))) (/.f32 (.f32 (-.f32 1 ux) (/.f32 (.f32 maxCos (.f32 ux zi)) (.f32 maxCos (.f32 ux zi)))) (.f32 (-.f32 1 ux) (/.f32 (.f32 maxCos (.f32 ux zi)) (.f32 maxCos (*.f32 ux zi))))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (/.f32 (.f32 (-.f32 1 ux) (.f32 ux (.f32 maxCos (/.f32 zi zi)))) (.f32 (-.f32 1 ux) (.f32 ux (*.f32 maxCos (/.f32 zi zi))))))
(/.f32 (.f32 maxCos (.f32 ux (-.f32 zi (.f32 ux zi)))) (/.f32 (.f32 (-.f32 1 ux) (.f32 maxCos (.f32 ux (/.f32 zi zi)))) (.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux (/.f32 zi zi))))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (/.f32 (.f32 (/.f32 (-.f32 1 ux) (-.f32 1 ux)) (.f32 ux (.f32 (.f32 zi maxCos) (/.f32 (-.f32 1 ux) (-.f32 1 ux))))) (.f32 (/.f32 (-.f32 1 ux) (-.f32 1 ux)) (.f32 ux (.f32 (*.f32 zi maxCos) (/.f32 (-.f32 1 ux) (-.f32 1 ux)))))))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (/.f32 (/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi))))) (/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (.f32 ux (.f32 maxCos (-.f32 zi (*.f32 ux zi)))))))
(/.f32 (.f32 maxCos (.f32 ux (-.f32 zi (.f32 ux zi)))) (/.f32 (/.f32 (.f32 maxCos (.f32 ux (-.f32 zi (.f32 ux zi)))) (.f32 maxCos (.f32 ux (-.f32 zi (.f32 ux zi))))) (/.f32 (.f32 maxCos (.f32 ux (-.f32 zi (.f32 ux zi)))) (.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi)))))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (/.f32 (neg.f32 (.f32 zi (.f32 ux (neg.f32 maxCos)))) (neg.f32 (.f32 zi (*.f32 ux (neg.f32 maxCos))))))
(/.f32 (.f32 ux (.f32 maxCos (-.f32 zi (.f32 ux zi)))) (/.f32 (neg.f32 (.f32 ux (.f32 zi (neg.f32 maxCos)))) (neg.f32 (.f32 ux (*.f32 zi (neg.f32 maxCos))))))
(/.f32 (.f32 maxCos (.f32 ux (-.f32 zi (.f32 ux zi)))) (/.f32 (neg.f32 (.f32 ux (.f32 maxCos (neg.f32 zi)))) (neg.f32 (.f32 ux (*.f32 maxCos (neg.f32 zi))))))
(/.f32 (.f32 maxCos (.f32 ux (-.f32 zi (.f32 ux zi)))) (/.f32 (.f32 ux (.f32 maxCos (neg.f32 zi))) (.f32 ux (*.f32 maxCos (neg.f32 zi)))))
(neg.f32 (.f32 (.f32 ux (*.f32 zi maxCos)) (+.f32 ux -1)))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 ux zi)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi)))
(.f32 maxCos (.f32 ux (-.f32 zi (*.f32 ux zi))))

localize305.0ms (1.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 248 to 155 computations (37.5% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

9 calls:

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

rewrite94.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`rational_best_oopsla_all_46_json_45_simplify-35`
836×	`rational_best_oopsla_all_46_json_45_simplify-89`
716×	`rational_best_oopsla_all_46_json_45_simplify-23`
706×	`rational_best_oopsla_all_46_json_45_simplify-13`
690×	`rational_best_oopsla_all_46_json_45_simplify-87`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	66	30
2	239	30
3	1288	30
4	6492	30

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) (*.f32 yi (+.f32 uy uy))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) (*.f32 yi (+.f32 uy uy))) (*.f32 0 (*.f32 (*.f32 yi (PI.f32)) (/.f32 uy uy))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) (*.f32 yi (+.f32 uy uy))) (*.f32 0 (*.f32 (PI.f32) (+.f32 uy uy))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) (*.f32 yi (+.f32 uy uy))) (*.f32 0 (*.f32 (PI.f32) (+.f32 yi yi))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) (*.f32 yi (+.f32 uy uy))) (*.f32 0 (*.f32 (PI.f32) (*.f32 (+.f32 uy uy) (/.f32 yi yi)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) (*.f32 yi (+.f32 uy uy))) (*.f32 0 (*.f32 yi (+.f32 uy uy))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) (*.f32 yi (+.f32 uy uy))) (*.f32 0 (/.f32 (*.f32 yi (*.f32 (PI.f32) uy)) (*.f32 yi (*.f32 (PI.f32) uy)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(*.f32 yi (PI.f32)) (/.f32 uy uy)) (*.f32 uy -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 0 (/.f32 (*.f32 yi (*.f32 (PI.f32) uy)) (*.f32 yi (*.f32 (PI.f32) uy)))) (*.f32 (/.f32 (*.f32 yi (*.f32 (PI.f32) uy)) (*.f32 yi (*.f32 (PI.f32) uy))) (*.f32 (*.f32 yi (PI.f32)) (*.f32 uy -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 0 (*.f32 (*.f32 yi (PI.f32)) (/.f32 (+.f32 uy uy) (*.f32 yi (PI.f32))))) (*.f32 (*.f32 (*.f32 yi (PI.f32)) (/.f32 (+.f32 uy uy) (*.f32 yi (PI.f32)))) (*.f32 (PI.f32) (neg.f32 yi))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 0 (*.f32 (/.f32 (*.f32 yi (PI.f32)) (*.f32 yi (PI.f32))) (*.f32 2 (*.f32 uy (/.f32 (*.f32 yi (PI.f32)) (*.f32 yi (PI.f32))))))) (*.f32 (*.f32 (/.f32 (*.f32 yi (PI.f32)) (*.f32 yi (PI.f32))) (*.f32 2 (*.f32 uy (/.f32 (*.f32 yi (PI.f32)) (*.f32 yi (PI.f32)))))) (*.f32 (PI.f32) (neg.f32 yi))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 yi (+.f32 uy uy))) 1)))) (#(struct:change 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uy))) (/.f32 (/.f32 (*.f32 yi (*.f32 (PI.f32) uy)) (*.f32 yi (*.f32 (PI.f32) uy))) (/.f32 (*.f32 yi (*.f32 (PI.f32) uy)) (*.f32 yi (*.f32 (PI.f32) uy)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 yi (+.f32 uy uy))) (/.f32 (*.f32 (*.f32 yi (PI.f32)) (/.f32 (+.f32 uy uy) (*.f32 yi (PI.f32)))) (*.f32 (*.f32 yi (PI.f32)) (/.f32 (+.f32 uy uy) (*.f32 yi (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 yi (+.f32 uy uy))) (/.f32 (*.f32 (/.f32 (*.f32 yi (PI.f32)) (*.f32 yi (PI.f32))) (*.f32 2 (*.f32 uy (/.f32 (*.f32 yi (PI.f32)) (*.f32 yi (PI.f32)))))) (*.f32 (/.f32 (*.f32 yi (PI.f32)) (*.f32 yi (PI.f32))) (*.f32 2 (*.f32 uy (/.f32 (*.f32 yi (PI.f32)) (*.f32 yi (PI.f32))))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (*.f32 yi (PI.f32)) (*.f32 uy -2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 2 (*.f32 (*.f32 yi (PI.f32)) (neg.f32 uy))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 1 (*.f32 (*.f32 yi (PI.f32)) (*.f32 uy -2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (/.f32 (*.f32 yi (PI.f32)) (*.f32 yi (PI.f32))) (*.f32 (*.f32 yi (PI.f32)) (*.f32 uy -2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (*.f32 2 (*.f32 uy (/.f32 (*.f32 yi (PI.f32)) (*.f32 yi (PI.f32))))) (*.f32 (PI.f32) (neg.f32 yi))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 -2 (*.f32 yi (*.f32 (PI.f32) uy))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 -1 (*.f32 (PI.f32) (*.f32 yi (+.f32 uy uy)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (*.f32 (/.f32 (*.f32 yi (PI.f32)) (*.f32 yi (PI.f32))) (*.f32 uy -2)) (*.f32 yi (PI.f32))))))))

simplify121.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1154×	`rational_best_oopsla_all_46_json_45_simplify-10`
1132×	`rational_best_oopsla_all_46_json_45_simplify-30`
936×	`rational_best_oopsla_all_46_json_45_simplify-23`
824×	`rational_best_oopsla_all_46_json_45_simplify-72`
610×	`rational_best_oopsla_all_46_json_45_simplify-7`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	176	2688
1	602	2688
2	2724	2676
3	7195	2664

Stop Event

1×	node limit

Counts

108 → 111

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 (PI.f32)) 0)
(+.f32 (.f32 yi (PI.f32)) (.f32 0 (*.f32 yi (/.f32 (PI.f32) yi))))
(+.f32 (.f32 yi (PI.f32)) (.f32 0 (.f32 (/.f32 yi yi) (.f32 (PI.f32) (/.f32 yi yi)))))
(+.f32 (.f32 yi (PI.f32)) (.f32 0 (*.f32 yi (/.f32 (PI.f32) (PI.f32)))))
(+.f32 0 (*.f32 yi (PI.f32)))
(+.f32 (.f32 0 (.f32 yi (/.f32 (PI.f32) yi))) (*.f32 yi (PI.f32)))
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(-.f32 (*.f32 yi (PI.f32)) 0)
(-.f32 0 (*.f32 (PI.f32) (neg.f32 yi)))
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(-.f32 0 (.f32 (/.f32 (.f32 yi (PI.f32)) (.f32 yi (PI.f32))) (.f32 (PI.f32) (neg.f32 yi))))
(-.f32 0 (.f32 (.f32 (PI.f32) (neg.f32 (/.f32 yi yi))) yi))
(/.f32 (*.f32 yi (PI.f32)) 1)
(/.f32 (*.f32 yi (PI.f32)) (/.f32 yi yi))
(/.f32 (.f32 yi (PI.f32)) (/.f32 (.f32 yi (PI.f32)) (*.f32 yi (PI.f32))))
(/.f32 (*.f32 yi (PI.f32)) (/.f32 (PI.f32) (PI.f32)))
(/.f32 (.f32 yi (PI.f32)) (/.f32 (.f32 (PI.f32) (/.f32 yi yi)) (*.f32 (PI.f32) (/.f32 yi yi))))
(/.f32 (*.f32 yi (PI.f32)) (/.f32 (/.f32 yi yi) (/.f32 yi yi)))
(/.f32 (.f32 yi (PI.f32)) (/.f32 (/.f32 (.f32 yi (PI.f32)) (.f32 yi (PI.f32))) (/.f32 (.f32 yi (PI.f32)) (*.f32 yi (PI.f32)))))
(/.f32 (.f32 yi (PI.f32)) (/.f32 (.f32 (/.f32 yi yi) (.f32 (PI.f32) (/.f32 yi yi))) (.f32 (/.f32 yi yi) (*.f32 (PI.f32) (/.f32 yi yi)))))
(/.f32 (.f32 yi (PI.f32)) (/.f32 (.f32 yi (/.f32 (PI.f32) (PI.f32))) (*.f32 yi (/.f32 (PI.f32) (PI.f32)))))
(/.f32 (.f32 yi (PI.f32)) (/.f32 (.f32 yi (/.f32 (PI.f32) yi)) (*.f32 yi (/.f32 (PI.f32) yi))))
(/.f32 (*.f32 (PI.f32) (neg.f32 yi)) -1)
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Outputs
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(+.f32 (.f32 0 (.f32 (PI.f32) (+.f32 uy uy))) (.f32 (PI.f32) (.f32 yi (+.f32 uy uy))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(+.f32 (.f32 0 (.f32 (PI.f32) (+.f32 yi yi))) (.f32 (PI.f32) (.f32 yi (+.f32 uy uy))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(+.f32 (.f32 0 (.f32 (PI.f32) (.f32 (+.f32 uy uy) (/.f32 yi yi)))) (.f32 (PI.f32) (*.f32 yi (+.f32 uy uy))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(+.f32 (.f32 0 (.f32 yi (+.f32 uy uy))) (.f32 (PI.f32) (.f32 yi (+.f32 uy uy))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(+.f32 (.f32 0 (/.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 yi (.f32 (PI.f32) uy)))) (.f32 (PI.f32) (*.f32 yi (+.f32 uy uy))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(+.f32 (.f32 0 (.f32 (.f32 yi (PI.f32)) (/.f32 (+.f32 uy uy) (.f32 yi (PI.f32))))) (.f32 (PI.f32) (.f32 yi (+.f32 uy uy))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(+.f32 (.f32 0 (.f32 (/.f32 (.f32 yi (PI.f32)) (.f32 yi (PI.f32))) (.f32 2 (.f32 uy (/.f32 (.f32 yi (PI.f32)) (.f32 yi (PI.f32))))))) (.f32 (PI.f32) (.f32 yi (+.f32 uy uy))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(-.f32 (.f32 (PI.f32) (.f32 yi (+.f32 uy uy))) 0)
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(-.f32 0 (.f32 (.f32 yi (PI.f32)) (*.f32 uy -2)))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(-.f32 0 (.f32 2 (.f32 (*.f32 yi (PI.f32)) (neg.f32 uy))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(-.f32 0 (.f32 1 (.f32 (.f32 yi (PI.f32)) (.f32 uy -2))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(-.f32 0 (.f32 (/.f32 (.f32 yi (PI.f32)) (.f32 yi (PI.f32))) (.f32 (.f32 yi (PI.f32)) (.f32 uy -2))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(-.f32 0 (.f32 (.f32 2 (.f32 uy (/.f32 (.f32 yi (PI.f32)) (.f32 yi (PI.f32))))) (.f32 (PI.f32) (neg.f32 yi))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(-.f32 0 (.f32 -2 (.f32 yi (*.f32 (PI.f32) uy))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(-.f32 0 (.f32 -1 (.f32 (PI.f32) (*.f32 yi (+.f32 uy uy)))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(-.f32 0 (.f32 (.f32 (/.f32 (.f32 yi (PI.f32)) (.f32 yi (PI.f32))) (.f32 uy -2)) (.f32 yi (PI.f32))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(-.f32 (.f32 0 (.f32 (.f32 yi (PI.f32)) (/.f32 uy uy))) (.f32 (.f32 (.f32 yi (PI.f32)) (/.f32 uy uy)) (*.f32 uy -2)))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(-.f32 (.f32 0 (/.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 yi (.f32 (PI.f32) uy)))) (.f32 (/.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 yi (.f32 (PI.f32) uy))) (.f32 (.f32 yi (PI.f32)) (*.f32 uy -2))))
(.f32 (/.f32 (.f32 yi (.f32 uy (PI.f32))) (.f32 yi (.f32 uy (PI.f32)))) (neg.f32 (.f32 (.f32 yi (PI.f32)) (.f32 uy -2))))
(.f32 (/.f32 (.f32 yi (.f32 uy (PI.f32))) (.f32 yi (.f32 uy (PI.f32)))) (neg.f32 (.f32 yi (.f32 (PI.f32) (.f32 uy -2)))))
(.f32 (.f32 2 (.f32 (PI.f32) (.f32 yi uy))) (/.f32 (.f32 (PI.f32) (.f32 yi uy)) (.f32 (PI.f32) (.f32 yi uy))))
(-.f32 (.f32 0 (.f32 (.f32 yi (PI.f32)) (/.f32 (+.f32 uy uy) (.f32 yi (PI.f32))))) (.f32 (.f32 (.f32 yi (PI.f32)) (/.f32 (+.f32 uy uy) (.f32 yi (PI.f32)))) (*.f32 (PI.f32) (neg.f32 yi))))
(.f32 (.f32 (.f32 yi (PI.f32)) (/.f32 (+.f32 uy uy) (.f32 yi (PI.f32)))) (neg.f32 (*.f32 (PI.f32) (neg.f32 yi))))
(.f32 (neg.f32 (.f32 (PI.f32) (neg.f32 yi))) (.f32 (.f32 yi (PI.f32)) (/.f32 (+.f32 uy uy) (*.f32 yi (PI.f32)))))
(.f32 (.f32 yi (PI.f32)) (.f32 (.f32 yi (PI.f32)) (/.f32 (+.f32 uy uy) (*.f32 yi (PI.f32)))))
(-.f32 (.f32 0 (.f32 (/.f32 (.f32 yi (PI.f32)) (.f32 yi (PI.f32))) (.f32 2 (.f32 uy (/.f32 (.f32 yi (PI.f32)) (.f32 yi (PI.f32))))))) (.f32 (.f32 (/.f32 (.f32 yi (PI.f32)) (.f32 yi (PI.f32))) (.f32 2 (.f32 uy (/.f32 (.f32 yi (PI.f32)) (.f32 yi (PI.f32)))))) (*.f32 (PI.f32) (neg.f32 yi))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(/.f32 (.f32 (PI.f32) (.f32 yi (+.f32 uy uy))) 1)
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(/.f32 (.f32 (PI.f32) (.f32 yi (+.f32 uy uy))) (/.f32 yi yi))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(/.f32 (.f32 (PI.f32) (.f32 yi (+.f32 uy uy))) (/.f32 (.f32 yi (PI.f32)) (.f32 yi (PI.f32))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(/.f32 (.f32 (PI.f32) (.f32 yi (+.f32 uy uy))) (/.f32 (PI.f32) (PI.f32)))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(/.f32 (.f32 (PI.f32) (.f32 yi (+.f32 uy uy))) (/.f32 uy uy))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(/.f32 (.f32 (PI.f32) (.f32 yi (+.f32 uy uy))) (/.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 yi (.f32 (PI.f32) uy))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(/.f32 (.f32 (PI.f32) (.f32 yi (+.f32 uy uy))) (/.f32 (.f32 (PI.f32) (/.f32 yi yi)) (.f32 (PI.f32) (/.f32 yi yi))))
(/.f32 (.f32 yi (.f32 (PI.f32) (+.f32 uy uy))) (/.f32 (.f32 (PI.f32) (/.f32 yi yi)) (.f32 (PI.f32) (/.f32 yi yi))))
(/.f32 (.f32 2 (.f32 (PI.f32) (.f32 yi uy))) (/.f32 (.f32 (PI.f32) (/.f32 yi yi)) (*.f32 (PI.f32) (/.f32 yi yi))))
(/.f32 (.f32 (PI.f32) (.f32 yi (+.f32 uy uy))) (/.f32 (/.f32 (.f32 yi (PI.f32)) (.f32 yi (PI.f32))) (/.f32 (.f32 yi (PI.f32)) (.f32 yi (PI.f32)))))
(/.f32 (.f32 yi (.f32 (PI.f32) (+.f32 uy uy))) (/.f32 (/.f32 (.f32 yi (PI.f32)) (.f32 yi (PI.f32))) (/.f32 (.f32 yi (PI.f32)) (.f32 yi (PI.f32)))))
(/.f32 (.f32 2 (.f32 (PI.f32) (.f32 yi uy))) (/.f32 (/.f32 (.f32 yi (PI.f32)) (.f32 yi (PI.f32))) (/.f32 (.f32 yi (PI.f32)) (*.f32 yi (PI.f32)))))
(/.f32 (.f32 (PI.f32) (.f32 yi (+.f32 uy uy))) (/.f32 (.f32 (/.f32 (.f32 yi (PI.f32)) (.f32 yi (PI.f32))) (.f32 uy -2)) (.f32 (/.f32 (.f32 yi (PI.f32)) (.f32 yi (PI.f32))) (.f32 uy -2))))
(/.f32 (.f32 yi (.f32 (PI.f32) (+.f32 uy uy))) (/.f32 (.f32 uy (.f32 (/.f32 (.f32 yi (PI.f32)) (.f32 yi (PI.f32))) -2)) (.f32 uy (.f32 (/.f32 (.f32 yi (PI.f32)) (.f32 yi (PI.f32))) -2))))
(/.f32 (.f32 yi (.f32 (PI.f32) (+.f32 uy uy))) (/.f32 (.f32 (/.f32 (.f32 yi (PI.f32)) (.f32 yi (PI.f32))) (.f32 uy -2)) (.f32 (/.f32 (.f32 yi (PI.f32)) (.f32 yi (PI.f32))) (.f32 uy -2))))
(/.f32 (.f32 2 (.f32 (PI.f32) (.f32 yi uy))) (/.f32 (.f32 (/.f32 (.f32 yi (PI.f32)) (.f32 yi (PI.f32))) (.f32 2 uy)) (.f32 (/.f32 (.f32 yi (PI.f32)) (.f32 yi (PI.f32))) (*.f32 2 uy))))
(/.f32 (.f32 (PI.f32) (.f32 yi (+.f32 uy uy))) (/.f32 (.f32 (PI.f32) (+.f32 uy uy)) (.f32 (PI.f32) (+.f32 uy uy))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(/.f32 (.f32 (PI.f32) (.f32 yi (+.f32 uy uy))) (/.f32 (.f32 (.f32 yi (PI.f32)) (/.f32 uy uy)) (.f32 (.f32 yi (PI.f32)) (/.f32 uy uy))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(/.f32 (.f32 (PI.f32) (.f32 yi (+.f32 uy uy))) (/.f32 (.f32 (PI.f32) (.f32 (+.f32 uy uy) (/.f32 yi yi))) (.f32 (PI.f32) (.f32 (+.f32 uy uy) (/.f32 yi yi)))))
(/.f32 (.f32 yi (.f32 (PI.f32) (+.f32 uy uy))) (/.f32 (.f32 (PI.f32) (.f32 (/.f32 yi yi) (+.f32 uy uy))) (.f32 (PI.f32) (.f32 (/.f32 yi yi) (+.f32 uy uy)))))
(/.f32 (.f32 2 (.f32 (PI.f32) (.f32 yi uy))) (/.f32 (.f32 (/.f32 yi yi) (.f32 (PI.f32) (+.f32 uy uy))) (.f32 (/.f32 yi yi) (*.f32 (PI.f32) (+.f32 uy uy)))))
(/.f32 (.f32 2 (.f32 (PI.f32) (.f32 yi uy))) (/.f32 (.f32 (.f32 uy (PI.f32)) (/.f32 yi yi)) (.f32 (*.f32 uy (PI.f32)) (/.f32 yi yi))))
(/.f32 (.f32 (PI.f32) (.f32 yi (+.f32 uy uy))) (/.f32 (.f32 yi (+.f32 uy uy)) (.f32 yi (+.f32 uy uy))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(/.f32 (.f32 (PI.f32) (.f32 yi (+.f32 uy uy))) (/.f32 (/.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 yi (.f32 (PI.f32) uy))) (/.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 yi (.f32 (PI.f32) uy)))))
(/.f32 (.f32 yi (.f32 (PI.f32) (+.f32 uy uy))) (/.f32 (/.f32 (.f32 yi (.f32 uy (PI.f32))) (.f32 yi (.f32 uy (PI.f32)))) (/.f32 (.f32 yi (.f32 uy (PI.f32))) (.f32 yi (.f32 uy (PI.f32))))))
(/.f32 (.f32 2 (.f32 (PI.f32) (.f32 yi uy))) (/.f32 (/.f32 (.f32 (PI.f32) (.f32 yi uy)) (.f32 (PI.f32) (.f32 yi uy))) (/.f32 (.f32 (PI.f32) (.f32 yi uy)) (.f32 (PI.f32) (*.f32 yi uy)))))
(/.f32 (.f32 (PI.f32) (.f32 yi (+.f32 uy uy))) (/.f32 (.f32 (.f32 yi (PI.f32)) (/.f32 (+.f32 uy uy) (.f32 yi (PI.f32)))) (.f32 (.f32 yi (PI.f32)) (/.f32 (+.f32 uy uy) (.f32 yi (PI.f32))))))
(/.f32 (.f32 yi (.f32 (PI.f32) (+.f32 uy uy))) (/.f32 (.f32 (.f32 yi (PI.f32)) (/.f32 (+.f32 uy uy) (.f32 yi (PI.f32)))) (.f32 (.f32 yi (PI.f32)) (/.f32 (+.f32 uy uy) (.f32 yi (PI.f32))))))
(/.f32 (.f32 2 (.f32 (PI.f32) (.f32 yi uy))) (/.f32 (.f32 (.f32 yi (PI.f32)) (/.f32 (+.f32 uy uy) (.f32 yi (PI.f32)))) (.f32 (.f32 yi (PI.f32)) (/.f32 (+.f32 uy uy) (*.f32 yi (PI.f32))))))
(/.f32 (.f32 (PI.f32) (.f32 yi (+.f32 uy uy))) (/.f32 (.f32 (/.f32 (.f32 yi (PI.f32)) (.f32 yi (PI.f32))) (.f32 2 (.f32 uy (/.f32 (.f32 yi (PI.f32)) (.f32 yi (PI.f32)))))) (.f32 (/.f32 (.f32 yi (PI.f32)) (.f32 yi (PI.f32))) (.f32 2 (.f32 uy (/.f32 (.f32 yi (PI.f32)) (.f32 yi (PI.f32))))))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(neg.f32 (.f32 (.f32 yi (PI.f32)) (*.f32 uy -2)))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(neg.f32 (.f32 2 (.f32 (*.f32 yi (PI.f32)) (neg.f32 uy))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(neg.f32 (.f32 1 (.f32 (.f32 yi (PI.f32)) (.f32 uy -2))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(neg.f32 (.f32 (/.f32 (.f32 yi (PI.f32)) (.f32 yi (PI.f32))) (.f32 (.f32 yi (PI.f32)) (.f32 uy -2))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(neg.f32 (.f32 (.f32 2 (.f32 uy (/.f32 (.f32 yi (PI.f32)) (.f32 yi (PI.f32))))) (.f32 (PI.f32) (neg.f32 yi))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(neg.f32 (.f32 -2 (.f32 yi (*.f32 (PI.f32) uy))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(neg.f32 (.f32 -1 (.f32 (PI.f32) (*.f32 yi (+.f32 uy uy)))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))
(neg.f32 (.f32 (.f32 (/.f32 (.f32 yi (PI.f32)) (.f32 yi (PI.f32))) (.f32 uy -2)) (.f32 yi (PI.f32))))
(.f32 2 (.f32 yi (*.f32 uy (PI.f32))))
(.f32 2 (.f32 (PI.f32) (*.f32 yi uy)))

localize204.0ms (0.9%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 274 to 155 computations (43.4% saved)

localize281.0ms (1.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 325 to 191 computations (41.2% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite192.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

808×	`rational_best_oopsla_all_46_json_45_simplify-80`
724×	`rational_best_oopsla_all_46_json_45_simplify-35`
666×	`rational_best_oopsla_all_46_json_45_simplify-89`
544×	`rational_best_oopsla_all_46_json_45_simplify-13`
542×	`rational_best_oopsla_all_46_json_45_simplify-87`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	54	15
2	212	15
3	1086	15
4	5087	15

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) (*.f32 uy yi)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) (*.f32 uy yi)) (*.f32 0 (*.f32 (PI.f32) (/.f32 (*.f32 uy yi) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) (*.f32 uy yi)) (*.f32 0 (*.f32 (PI.f32) (*.f32 yi (/.f32 uy uy)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) (*.f32 uy yi)) (*.f32 0 (*.f32 (PI.f32) uy)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) (*.f32 uy yi)) (*.f32 0 (*.f32 (/.f32 (PI.f32) (PI.f32)) (*.f32 uy (*.f32 yi (/.f32 (PI.f32) (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) (*.f32 uy yi)) (*.f32 0 (*.f32 (PI.f32) (/.f32 (*.f32 uy yi) (*.f32 uy yi)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) (*.f32 uy yi)) (*.f32 0 (/.f32 (*.f32 (PI.f32) (*.f32 uy yi)) (*.f32 (PI.f32) (*.f32 uy yi)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 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(#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 1 (*.f32 (PI.f32) (*.f32 uy (neg.f32 yi)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 (/.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 uy (neg.f32 yi)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 uy (*.f32 (PI.f32) (neg.f32 yi))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 -1 (*.f32 (PI.f32) (*.f32 uy yi))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 (*.f32 (PI.f32) yi) (neg.f32 uy)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 (*.f32 uy (*.f32 yi (/.f32 (PI.f32) (PI.f32)))) (neg.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 0 (*.f32 (PI.f32) (/.f32 (*.f32 uy yi) (*.f32 uy yi)))) (*.f32 (*.f32 (PI.f32) (/.f32 (*.f32 uy yi) (*.f32 uy yi))) (*.f32 uy (neg.f32 yi))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 0 (/.f32 (*.f32 (PI.f32) (*.f32 uy yi)) (*.f32 (PI.f32) (*.f32 uy yi)))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 uy yi)) (*.f32 (PI.f32) (*.f32 uy yi))) (*.f32 (PI.f32) (*.f32 uy (neg.f32 yi)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 uy yi)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 uy yi)) (/.f32 uy uy))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 uy yi)) (/.f32 (PI.f32) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 uy yi)) (/.f32 (*.f32 uy yi) (*.f32 uy yi)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 uy yi)) (/.f32 yi yi))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 uy yi)) (/.f32 (*.f32 (PI.f32) (*.f32 uy yi)) (*.f32 (PI.f32) (*.f32 uy yi))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 uy yi)) (/.f32 (/.f32 (PI.f32) (PI.f32)) (/.f32 (PI.f32) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 uy yi)) (/.f32 (*.f32 uy (*.f32 yi (/.f32 (PI.f32) (PI.f32)))) (*.f32 uy (*.f32 yi (/.f32 (PI.f32) (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 uy yi)) (/.f32 (*.f32 yi (/.f32 uy uy)) (*.f32 yi (/.f32 uy uy))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 uy yi)) (/.f32 (*.f32 (PI.f32) yi) (*.f32 (PI.f32) yi)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 uy yi)) (/.f32 (/.f32 (*.f32 (PI.f32) (*.f32 uy yi)) (*.f32 (PI.f32) (*.f32 uy yi))) (/.f32 (*.f32 (PI.f32) (*.f32 uy yi)) (*.f32 (PI.f32) (*.f32 uy yi)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 uy yi)) (/.f32 (*.f32 (PI.f32) (/.f32 (*.f32 uy yi) (PI.f32))) (*.f32 (PI.f32) (/.f32 (*.f32 uy yi) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 uy yi)) (/.f32 (*.f32 (PI.f32) (*.f32 yi (/.f32 uy uy))) (*.f32 (PI.f32) (*.f32 yi (/.f32 uy uy)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 uy yi)) (/.f32 (*.f32 (PI.f32) uy) (*.f32 (PI.f32) uy)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 uy yi)) (/.f32 (*.f32 (/.f32 (PI.f32) (PI.f32)) (*.f32 uy (*.f32 yi (/.f32 (PI.f32) (PI.f32))))) (*.f32 (/.f32 (PI.f32) (PI.f32)) (*.f32 uy (*.f32 yi (/.f32 (PI.f32) (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 uy yi)) (/.f32 (*.f32 (PI.f32) (/.f32 (*.f32 uy yi) (*.f32 uy yi))) (*.f32 (PI.f32) (/.f32 (*.f32 uy yi) (*.f32 uy yi)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (PI.f32) (*.f32 uy (neg.f32 yi))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 1 (*.f32 (PI.f32) (*.f32 uy (neg.f32 yi)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (/.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 uy (neg.f32 yi)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 uy (*.f32 (PI.f32) (neg.f32 yi))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 -1 (*.f32 (PI.f32) (*.f32 uy yi))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (*.f32 (PI.f32) yi) (neg.f32 uy)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (*.f32 uy (*.f32 yi (/.f32 (PI.f32) (PI.f32)))) (neg.f32 (PI.f32))))))))

simplify115.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1780×	`rational_best_oopsla_all_46_json_45_simplify-89`
1374×	`rational_best_oopsla_all_46_json_45_simplify-74`
1264×	`rational_best_oopsla_all_46_json_45_simplify-24`
942×	`rational_best_oopsla_all_46_json_45_simplify-10`
930×	`rational_best_oopsla_all_46_json_45_simplify-30`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	1311
1	404	1311
2	1742	1311
3	6902	1311

Stop Event

1×	node limit

Counts

77 → 60

Calls

Call 1

Inputs
(.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) (.f32 uy yi)) 0)
(+.f32 (.f32 (PI.f32) (.f32 uy yi)) (.f32 0 (.f32 (PI.f32) (/.f32 (*.f32 uy yi) (PI.f32)))))
(+.f32 (.f32 (PI.f32) (.f32 uy yi)) (.f32 0 (.f32 (PI.f32) (*.f32 yi (/.f32 uy uy)))))
(+.f32 (.f32 (PI.f32) (.f32 uy yi)) (.f32 0 (.f32 (PI.f32) uy)))
(+.f32 (.f32 (PI.f32) (.f32 uy yi)) (.f32 0 (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 uy (.f32 yi (/.f32 (PI.f32) (PI.f32)))))))
(+.f32 (.f32 (PI.f32) (.f32 uy yi)) (.f32 0 (.f32 (PI.f32) (/.f32 (.f32 uy yi) (.f32 uy yi)))))
(+.f32 (.f32 (PI.f32) (.f32 uy yi)) (.f32 0 (/.f32 (.f32 (PI.f32) (.f32 uy yi)) (.f32 (PI.f32) (*.f32 uy yi)))))
(+.f32 (.f32 (PI.f32) (.f32 uy yi)) (+.f32 (.f32 0 (.f32 (PI.f32) (/.f32 (*.f32 uy yi) (PI.f32)))) 0))
(+.f32 (.f32 (PI.f32) (.f32 uy yi)) (+.f32 (.f32 0 (.f32 (PI.f32) (*.f32 yi (/.f32 uy uy)))) 0))
(+.f32 (.f32 (PI.f32) (.f32 uy yi)) (+.f32 (.f32 0 (.f32 (PI.f32) uy)) 0))
(+.f32 (.f32 (PI.f32) (.f32 uy yi)) (+.f32 (.f32 0 (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 uy (.f32 yi (/.f32 (PI.f32) (PI.f32)))))) 0))
(+.f32 (.f32 (PI.f32) (.f32 uy yi)) (+.f32 (.f32 0 (.f32 (PI.f32) (/.f32 (.f32 uy yi) (.f32 uy yi)))) 0))
(+.f32 (.f32 (PI.f32) (.f32 uy yi)) (+.f32 (.f32 0 (/.f32 (.f32 (PI.f32) (.f32 uy yi)) (.f32 (PI.f32) (*.f32 uy yi)))) 0))
(+.f32 0 (.f32 (PI.f32) (.f32 uy yi)))
(+.f32 (.f32 0 (.f32 (PI.f32) (/.f32 (.f32 uy yi) (PI.f32)))) (.f32 (PI.f32) (*.f32 uy yi)))
(+.f32 (.f32 0 (.f32 (PI.f32) (.f32 yi (/.f32 uy uy)))) (.f32 (PI.f32) (*.f32 uy yi)))
(+.f32 (.f32 0 (.f32 (PI.f32) uy)) (.f32 (PI.f32) (.f32 uy yi)))
(+.f32 (.f32 0 (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 uy (.f32 yi (/.f32 (PI.f32) (PI.f32)))))) (.f32 (PI.f32) (.f32 uy yi)))
(+.f32 (.f32 0 (.f32 (PI.f32) (/.f32 (.f32 uy yi) (.f32 uy yi)))) (.f32 (PI.f32) (.f32 uy yi)))
(+.f32 (.f32 0 (/.f32 (.f32 (PI.f32) (.f32 uy yi)) (.f32 (PI.f32) (.f32 uy yi)))) (.f32 (PI.f32) (*.f32 uy yi)))
(-.f32 (.f32 (PI.f32) (.f32 uy yi)) 0)
(-.f32 0 (.f32 (PI.f32) (.f32 uy (neg.f32 yi))))
(-.f32 0 (.f32 1 (.f32 (PI.f32) (*.f32 uy (neg.f32 yi)))))
(-.f32 0 (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (*.f32 uy (neg.f32 yi)))))
(-.f32 0 (.f32 uy (.f32 (PI.f32) (neg.f32 yi))))
(-.f32 0 (.f32 -1 (.f32 (PI.f32) (*.f32 uy yi))))
(-.f32 0 (.f32 (.f32 (PI.f32) yi) (neg.f32 uy)))
(-.f32 0 (.f32 (.f32 uy (*.f32 yi (/.f32 (PI.f32) (PI.f32)))) (neg.f32 (PI.f32))))
(-.f32 (.f32 0 (.f32 (PI.f32) (/.f32 (.f32 uy yi) (.f32 uy yi)))) (.f32 (.f32 (PI.f32) (/.f32 (.f32 uy yi) (.f32 uy yi))) (*.f32 uy (neg.f32 yi))))
(-.f32 (.f32 0 (/.f32 (.f32 (PI.f32) (.f32 uy yi)) (.f32 (PI.f32) (.f32 uy yi)))) (.f32 (/.f32 (.f32 (PI.f32) (.f32 uy yi)) (.f32 (PI.f32) (.f32 uy yi))) (.f32 (PI.f32) (.f32 uy (neg.f32 yi)))))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) 1)
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 uy uy))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 (PI.f32) (PI.f32)))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 (.f32 uy yi) (.f32 uy yi)))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 yi yi))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 (.f32 (PI.f32) (.f32 uy yi)) (.f32 (PI.f32) (.f32 uy yi))))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 (/.f32 (PI.f32) (PI.f32)) (/.f32 (PI.f32) (PI.f32))))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 (.f32 uy (.f32 yi (/.f32 (PI.f32) (PI.f32)))) (.f32 uy (.f32 yi (/.f32 (PI.f32) (PI.f32))))))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 (.f32 yi (/.f32 uy uy)) (.f32 yi (/.f32 uy uy))))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 (.f32 (PI.f32) yi) (.f32 (PI.f32) yi)))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 (/.f32 (.f32 (PI.f32) (.f32 uy yi)) (.f32 (PI.f32) (.f32 uy yi))) (/.f32 (.f32 (PI.f32) (.f32 uy yi)) (.f32 (PI.f32) (.f32 uy yi)))))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 (.f32 (PI.f32) (/.f32 (.f32 uy yi) (PI.f32))) (.f32 (PI.f32) (/.f32 (.f32 uy yi) (PI.f32)))))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 (.f32 (PI.f32) (.f32 yi (/.f32 uy uy))) (.f32 (PI.f32) (.f32 yi (/.f32 uy uy)))))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 (.f32 (PI.f32) uy) (.f32 (PI.f32) uy)))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 uy (.f32 yi (/.f32 (PI.f32) (PI.f32))))) (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 uy (.f32 yi (/.f32 (PI.f32) (PI.f32)))))))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 (.f32 (PI.f32) (/.f32 (.f32 uy yi) (.f32 uy yi))) (.f32 (PI.f32) (/.f32 (.f32 uy yi) (.f32 uy yi)))))
(neg.f32 (.f32 (PI.f32) (.f32 uy (neg.f32 yi))))
(neg.f32 (.f32 1 (.f32 (PI.f32) (*.f32 uy (neg.f32 yi)))))
(neg.f32 (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (*.f32 uy (neg.f32 yi)))))
(neg.f32 (.f32 uy (.f32 (PI.f32) (neg.f32 yi))))
(neg.f32 (.f32 -1 (.f32 (PI.f32) (*.f32 uy yi))))
(neg.f32 (.f32 (.f32 (PI.f32) yi) (neg.f32 uy)))
(neg.f32 (.f32 (.f32 uy (*.f32 yi (/.f32 (PI.f32) (PI.f32)))) (neg.f32 (PI.f32))))

Outputs
(.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 yi (.f32 uy (PI.f32)))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 uy (PI.f32)))
(+.f32 (.f32 (PI.f32) (.f32 uy yi)) 0)
(.f32 yi (.f32 uy (PI.f32)))
(+.f32 (.f32 (PI.f32) (.f32 uy yi)) (.f32 0 (.f32 (PI.f32) (/.f32 (*.f32 uy yi) (PI.f32)))))
(.f32 yi (.f32 uy (PI.f32)))
(+.f32 (.f32 (PI.f32) (.f32 uy yi)) (.f32 0 (.f32 (PI.f32) (*.f32 yi (/.f32 uy uy)))))
(.f32 yi (.f32 uy (PI.f32)))
(+.f32 (.f32 (PI.f32) (.f32 uy yi)) (.f32 0 (.f32 (PI.f32) uy)))
(.f32 yi (.f32 uy (PI.f32)))
(+.f32 (.f32 (PI.f32) (.f32 uy yi)) (.f32 0 (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 uy (.f32 yi (/.f32 (PI.f32) (PI.f32)))))))
(.f32 yi (.f32 uy (PI.f32)))
(+.f32 (.f32 (PI.f32) (.f32 uy yi)) (.f32 0 (.f32 (PI.f32) (/.f32 (.f32 uy yi) (.f32 uy yi)))))
(.f32 yi (.f32 uy (PI.f32)))
(+.f32 (.f32 (PI.f32) (.f32 uy yi)) (.f32 0 (/.f32 (.f32 (PI.f32) (.f32 uy yi)) (.f32 (PI.f32) (*.f32 uy yi)))))
(.f32 yi (.f32 uy (PI.f32)))
(+.f32 (.f32 (PI.f32) (.f32 uy yi)) (+.f32 (.f32 0 (.f32 (PI.f32) (/.f32 (*.f32 uy yi) (PI.f32)))) 0))
(.f32 yi (.f32 uy (PI.f32)))
(+.f32 (.f32 (PI.f32) (.f32 uy yi)) (+.f32 (.f32 0 (.f32 (PI.f32) (*.f32 yi (/.f32 uy uy)))) 0))
(.f32 yi (.f32 uy (PI.f32)))
(+.f32 (.f32 (PI.f32) (.f32 uy yi)) (+.f32 (.f32 0 (.f32 (PI.f32) uy)) 0))
(.f32 yi (.f32 uy (PI.f32)))
(+.f32 (.f32 (PI.f32) (.f32 uy yi)) (+.f32 (.f32 0 (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 uy (.f32 yi (/.f32 (PI.f32) (PI.f32)))))) 0))
(.f32 yi (.f32 uy (PI.f32)))
(+.f32 (.f32 (PI.f32) (.f32 uy yi)) (+.f32 (.f32 0 (.f32 (PI.f32) (/.f32 (.f32 uy yi) (.f32 uy yi)))) 0))
(.f32 yi (.f32 uy (PI.f32)))
(+.f32 (.f32 (PI.f32) (.f32 uy yi)) (+.f32 (.f32 0 (/.f32 (.f32 (PI.f32) (.f32 uy yi)) (.f32 (PI.f32) (*.f32 uy yi)))) 0))
(.f32 yi (.f32 uy (PI.f32)))
(+.f32 0 (.f32 (PI.f32) (.f32 uy yi)))
(.f32 yi (.f32 uy (PI.f32)))
(+.f32 (.f32 0 (.f32 (PI.f32) (/.f32 (.f32 uy yi) (PI.f32)))) (.f32 (PI.f32) (*.f32 uy yi)))
(.f32 yi (.f32 uy (PI.f32)))
(+.f32 (.f32 0 (.f32 (PI.f32) (.f32 yi (/.f32 uy uy)))) (.f32 (PI.f32) (*.f32 uy yi)))
(.f32 yi (.f32 uy (PI.f32)))
(+.f32 (.f32 0 (.f32 (PI.f32) uy)) (.f32 (PI.f32) (.f32 uy yi)))
(.f32 yi (.f32 uy (PI.f32)))
(+.f32 (.f32 0 (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 uy (.f32 yi (/.f32 (PI.f32) (PI.f32)))))) (.f32 (PI.f32) (.f32 uy yi)))
(.f32 yi (.f32 uy (PI.f32)))
(+.f32 (.f32 0 (.f32 (PI.f32) (/.f32 (.f32 uy yi) (.f32 uy yi)))) (.f32 (PI.f32) (.f32 uy yi)))
(.f32 yi (.f32 uy (PI.f32)))
(+.f32 (.f32 0 (/.f32 (.f32 (PI.f32) (.f32 uy yi)) (.f32 (PI.f32) (.f32 uy yi)))) (.f32 (PI.f32) (*.f32 uy yi)))
(.f32 yi (.f32 uy (PI.f32)))
(-.f32 (.f32 (PI.f32) (.f32 uy yi)) 0)
(.f32 yi (.f32 uy (PI.f32)))
(-.f32 0 (.f32 (PI.f32) (.f32 uy (neg.f32 yi))))
(.f32 yi (.f32 uy (PI.f32)))
(-.f32 0 (.f32 1 (.f32 (PI.f32) (*.f32 uy (neg.f32 yi)))))
(.f32 yi (.f32 uy (PI.f32)))
(-.f32 0 (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (*.f32 uy (neg.f32 yi)))))
(.f32 yi (.f32 uy (PI.f32)))
(-.f32 0 (.f32 uy (.f32 (PI.f32) (neg.f32 yi))))
(.f32 yi (.f32 uy (PI.f32)))
(-.f32 0 (.f32 -1 (.f32 (PI.f32) (*.f32 uy yi))))
(.f32 yi (.f32 uy (PI.f32)))
(-.f32 0 (.f32 (.f32 (PI.f32) yi) (neg.f32 uy)))
(.f32 yi (.f32 uy (PI.f32)))
(-.f32 0 (.f32 (.f32 uy (*.f32 yi (/.f32 (PI.f32) (PI.f32)))) (neg.f32 (PI.f32))))
(.f32 yi (.f32 uy (PI.f32)))
(-.f32 (.f32 0 (.f32 (PI.f32) (/.f32 (.f32 uy yi) (.f32 uy yi)))) (.f32 (.f32 (PI.f32) (/.f32 (.f32 uy yi) (.f32 uy yi))) (*.f32 uy (neg.f32 yi))))
(.f32 yi (.f32 uy (PI.f32)))
(-.f32 (.f32 0 (/.f32 (.f32 (PI.f32) (.f32 uy yi)) (.f32 (PI.f32) (.f32 uy yi)))) (.f32 (/.f32 (.f32 (PI.f32) (.f32 uy yi)) (.f32 (PI.f32) (.f32 uy yi))) (.f32 (PI.f32) (.f32 uy (neg.f32 yi)))))
(.f32 yi (.f32 uy (PI.f32)))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) 1)
(.f32 yi (.f32 uy (PI.f32)))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 uy uy))
(.f32 yi (.f32 uy (PI.f32)))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 (PI.f32) (PI.f32)))
(.f32 yi (.f32 uy (PI.f32)))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 (.f32 uy yi) (.f32 uy yi)))
(.f32 yi (.f32 uy (PI.f32)))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 yi yi))
(.f32 yi (.f32 uy (PI.f32)))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 (.f32 (PI.f32) (.f32 uy yi)) (.f32 (PI.f32) (.f32 uy yi))))
(.f32 yi (.f32 uy (PI.f32)))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 (/.f32 (PI.f32) (PI.f32)) (/.f32 (PI.f32) (PI.f32))))
(/.f32 (.f32 yi (.f32 uy (PI.f32))) (/.f32 (/.f32 (PI.f32) (PI.f32)) (/.f32 (PI.f32) (PI.f32))))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 (.f32 uy (.f32 yi (/.f32 (PI.f32) (PI.f32)))) (.f32 uy (.f32 yi (/.f32 (PI.f32) (PI.f32))))))
(.f32 yi (.f32 uy (PI.f32)))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 (.f32 yi (/.f32 uy uy)) (.f32 yi (/.f32 uy uy))))
(/.f32 (.f32 yi (.f32 uy (PI.f32))) (/.f32 (.f32 yi (/.f32 uy uy)) (.f32 yi (/.f32 uy uy))))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 (.f32 (PI.f32) yi) (.f32 (PI.f32) yi)))
(.f32 yi (.f32 uy (PI.f32)))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 (/.f32 (.f32 (PI.f32) (.f32 uy yi)) (.f32 (PI.f32) (.f32 uy yi))) (/.f32 (.f32 (PI.f32) (.f32 uy yi)) (.f32 (PI.f32) (.f32 uy yi)))))
(.f32 yi (.f32 uy (PI.f32)))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 (.f32 (PI.f32) (/.f32 (.f32 uy yi) (PI.f32))) (.f32 (PI.f32) (/.f32 (.f32 uy yi) (PI.f32)))))
(.f32 yi (.f32 uy (PI.f32)))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 (.f32 (PI.f32) (.f32 yi (/.f32 uy uy))) (.f32 (PI.f32) (.f32 yi (/.f32 uy uy)))))
(.f32 yi (.f32 uy (PI.f32)))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 (.f32 (PI.f32) uy) (.f32 (PI.f32) uy)))
(.f32 yi (.f32 uy (PI.f32)))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 uy (.f32 yi (/.f32 (PI.f32) (PI.f32))))) (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 uy (.f32 yi (/.f32 (PI.f32) (PI.f32)))))))
(/.f32 (.f32 yi (.f32 uy (PI.f32))) (/.f32 (.f32 uy (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 yi (/.f32 (PI.f32) (PI.f32))))) (.f32 uy (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 yi (/.f32 (PI.f32) (PI.f32)))))))
(/.f32 (.f32 yi (.f32 uy (PI.f32))) (/.f32 (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 (.f32 yi uy) (/.f32 (PI.f32) (PI.f32)))) (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 (.f32 yi uy) (/.f32 (PI.f32) (PI.f32))))))
(/.f32 (.f32 yi (.f32 uy (PI.f32))) (/.f32 (.f32 yi (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 uy (/.f32 (PI.f32) (PI.f32))))) (.f32 yi (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 uy (/.f32 (PI.f32) (PI.f32)))))))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 (.f32 (PI.f32) (/.f32 (.f32 uy yi) (.f32 uy yi))) (.f32 (PI.f32) (/.f32 (.f32 uy yi) (.f32 uy yi)))))
(.f32 yi (.f32 uy (PI.f32)))
(neg.f32 (.f32 (PI.f32) (.f32 uy (neg.f32 yi))))
(.f32 yi (.f32 uy (PI.f32)))
(neg.f32 (.f32 1 (.f32 (PI.f32) (*.f32 uy (neg.f32 yi)))))
(.f32 yi (.f32 uy (PI.f32)))
(neg.f32 (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (*.f32 uy (neg.f32 yi)))))
(.f32 yi (.f32 uy (PI.f32)))
(neg.f32 (.f32 uy (.f32 (PI.f32) (neg.f32 yi))))
(.f32 yi (.f32 uy (PI.f32)))
(neg.f32 (.f32 -1 (.f32 (PI.f32) (*.f32 uy yi))))
(.f32 yi (.f32 uy (PI.f32)))
(neg.f32 (.f32 (.f32 (PI.f32) yi) (neg.f32 uy)))
(.f32 yi (.f32 uy (PI.f32)))
(neg.f32 (.f32 (.f32 uy (*.f32 yi (/.f32 (PI.f32) (PI.f32)))) (neg.f32 (PI.f32))))
(.f32 yi (.f32 uy (PI.f32)))

eval922.0ms (4.3%)

Compiler: Compiled 76291 to 36647 computations (52% saved)

prune494.0ms (2.3%)

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	1208	11	1219
Fresh	3	7	10
Picked	1	0	1
Done	2	3	5
Total	1214	21	1235

Error

0.3b

Counts

1235 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	1.6b	(+.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 (pow.f32 uy 5) (.f32 4/15 (.f32 yi (pow.f32 (PI.f32) 5)))) (+.f32 (.f32 -4/3 (.f32 yi (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3)))) (+.f32 (.f32 -8/315 (.f32 (pow.f32 uy 7) (.f32 yi (pow.f32 (PI.f32) 7)))) (.f32 2 (.f32 uy (.f32 yi (PI.f32)))))))) (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) zi))
	2.3b	(+.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 2 (.f32 yi (.f32 uy (PI.f32)))) (.f32 (pow.f32 uy 3) (.f32 yi (.f32 -4/3 (pow.f32 (PI.f32) 3)))))) (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) zi))
✓	3.5b	(+.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 yi (PI.f32)) (.f32 2 uy))) (.f32 (.f32 (*.f32 (-.f32 1 ux) maxCos) ux) zi))
	3.5b	(+.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 maxCos ux))))) xi) (.f32 (.f32 yi (PI.f32)) (.f32 2 uy))) (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) zi))
▶	2.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 ux (-.f32 maxCos (.f32 ux maxCos))))))) (+.f32 (+.f32 (.f32 2 (.f32 (PI.f32) (.f32 yi uy))) (.f32 yi (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 (pow.f32 uy 3))))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 zi (.f32 ux maxCos))))
✓	2.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 ux (-.f32 maxCos (.f32 ux maxCos))))))) (+.f32 (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 (pow.f32 uy 3) (.f32 -4/3 (.f32 yi (pow.f32 (PI.f32) 3))))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 zi (.f32 ux maxCos))))
	2.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 ux (-.f32 maxCos (.f32 ux maxCos))))))) (+.f32 (.f32 (+.f32 (.f32 uy (.f32 2 (PI.f32))) (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 (pow.f32 uy 3)))) yi) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 zi (*.f32 ux maxCos))))
✓	0.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 ux (-.f32 maxCos (.f32 ux maxCos))))))) (+.f32 (.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (/.f32 1 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))))) (sin.f32 (.f32 2 (.f32 uy (PI.f32))))) yi) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 zi (*.f32 ux maxCos))))
	3.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 ux (-.f32 maxCos (.f32 ux maxCos))))))) (+.f32 (.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (/.f32 1/2 (.f32 uy (PI.f32)))) (sin.f32 (.f32 2 (.f32 uy (PI.f32))))) yi) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 zi (.f32 ux maxCos))))
	2.1b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 ux (-.f32 maxCos (.f32 ux maxCos))))))) (+.f32 (.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (+.f32 (.f32 uy (.f32 1/3 (PI.f32))) (+.f32 (.f32 1/2 (/.f32 1 (.f32 uy (PI.f32)))) (.f32 -1 (.f32 (+.f32 (.f32 -2/9 (pow.f32 (PI.f32) 3)) (.f32 (pow.f32 (PI.f32) 3) 1/15)) (pow.f32 uy 3)))))) (sin.f32 (.f32 2 (.f32 uy (PI.f32))))) yi) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 zi (*.f32 ux maxCos))))
	3.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 ux (-.f32 maxCos (.f32 ux maxCos))))))) (+.f32 (.f32 2 (.f32 (PI.f32) (.f32 yi uy))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 zi (*.f32 ux maxCos))))
▶	0.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 maxCos ux))))) (+.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 zi (.f32 ux maxCos))))
	3.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 maxCos ux))))) (+.f32 (.f32 2 (.f32 (PI.f32) (.f32 yi uy))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 zi (.f32 ux maxCos))))
▶	3.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 maxCos ux))))) (+.f32 (.f32 2 (.f32 yi (.f32 (PI.f32) uy))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 zi (.f32 ux maxCos))))
	3.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 maxCos ux))))) (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 maxCos (.f32 ux zi))))
▶	3.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 maxCos ux))))) (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 ux (.f32 zi (+.f32 maxCos (.f32 ux (neg.f32 maxCos))))))
	4.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 maxCos ux))))) (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 ux (*.f32 maxCos zi)))
	3.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 maxCos ux))))) (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 maxCos (.f32 ux (-.f32 zi (.f32 ux zi)))))
▶	4.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 maxCos ux))))) (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 maxCos (*.f32 ux zi)))
	3.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 maxCos ux))))) (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (neg.f32 (.f32 (.f32 ux (.f32 zi maxCos)) (+.f32 ux -1))))
	3.4b	(+.f32 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) uy))) (.f32 xi (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))))) (+.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 zi ux)) (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 uy (.f32 (PI.f32) (*.f32 2 yi))))))

Compiler

Compiled 2214 to 1476 computations (33.3% saved)

localize151.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 217 to 93 computations (57.1% saved)

localize137.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(cos.f32 (.f32 uy (.f32 2 (PI.f32))))
	0.3b	(.f32 uy (.f32 (PI.f32) yi))
	0.4b	(.f32 uy (.f32 2 (PI.f32)))
	0.4b	(*.f32 (PI.f32) yi)

Compiler

Compiled 202 to 72 computations (64.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite67.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1558×	`rational_best_oopsla_all_46_json-2`
1558×	`rational_best_oopsla_all_46_json-1`
1558×	`rational_best_oopsla_all_46_json-4`
1558×	`rational_best_oopsla_all_46_json-3`
1168×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	61	19
2	186	19
3	794	19
4	3636	19

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (*.f32 0 (/.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (/.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))))) (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (/.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (cos.f32 (*.f32 uy (*.f32 2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (*.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (/.f32 1 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (*.f32 (/.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (cos.f32 (*.f32 uy (*.f32 2 (PI.f32))))) (/.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (*.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (/.f32 (/.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (cos.f32 (*.f32 uy (*.f32 2 (PI.f32))))) (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (*.f32 (*.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (/.f32 1 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))))) (/.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (*.f32 (*.f32 (/.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (cos.f32 (*.f32 uy (*.f32 2 (PI.f32))))) (/.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))))) (/.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (*.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (/.f32 (*.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (/.f32 1 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))))) (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (*.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (/.f32 (*.f32 (/.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (cos.f32 (*.f32 uy (*.f32 2 (PI.f32))))) (/.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))))) (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (cos.f32 (*.f32 uy (*.f32 2 (PI.f32))))) (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (cos.f32 (*.f32 uy (*.f32 2 (PI.f32))))) (*.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (/.f32 1 (/.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (cos.f32 (*.f32 uy (*.f32 2 (PI.f32))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (cos.f32 (*.f32 uy (*.f32 2 (PI.f32))))) (*.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (/.f32 (/.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (cos.f32 (*.f32 uy (*.f32 2 (PI.f32))))) (/.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (cos.f32 (*.f32 uy (*.f32 2 (PI.f32))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (cos.f32 (*.f32 uy (*.f32 2 (PI.f32))))) (*.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (/.f32 (*.f32 (/.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (cos.f32 (*.f32 uy (*.f32 2 (PI.f32))))) (/.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))))) (/.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (cos.f32 (*.f32 uy (*.f32 2 (PI.f32))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (neg.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (/.f32 1 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))))) (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32))))) (neg.f32 (/.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (cos.f32 (*.f32 uy (*.f32 2 (PI.f32))))) (/.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))))) (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (/.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))))) (neg.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (/.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (cos.f32 (*.f32 uy (*.f32 2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (/.f32 (/.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (cos.f32 (*.f32 uy (*.f32 2 (PI.f32))))) (/.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))) (cos.f32 (*.f32 uy (*.f32 2 (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (cos.f32 (*.f32 uy (*.f32 2 (PI.f32))))))))))

simplify179.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1580×	`rational_best_oopsla_all_46_json_45_simplify-37`
1270×	`rational_best_oopsla_all_46_json_45_simplify-89`
1084×	`rational_best_oopsla_all_46_json_45_simplify-74`
1068×	`rational_best_oopsla_all_46_json_45_simplify-13`
940×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	918
1	293	918
2	1474	918
3	7798	918

Stop Event

1×	node limit

Counts

42 → 43

Calls

Call 1

Inputs
1
(+.f32 1 (.f32 -2 (.f32 (pow.f32 uy 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (+.f32 (.f32 -2 (.f32 (pow.f32 uy 2) (pow.f32 (PI.f32) 2))) (.f32 2/3 (.f32 (pow.f32 uy 4) (pow.f32 (PI.f32) 4)))))
(+.f32 (.f32 -4/45 (.f32 (pow.f32 uy 6) (pow.f32 (PI.f32) 6))) (+.f32 1 (+.f32 (.f32 -2 (.f32 (pow.f32 uy 2) (pow.f32 (PI.f32) 2))) (.f32 2/3 (.f32 (pow.f32 uy 4) (pow.f32 (PI.f32) 4))))))
(cos.f32 (.f32 2 (.f32 uy (PI.f32))))
(cos.f32 (.f32 2 (.f32 uy (PI.f32))))
(cos.f32 (.f32 2 (.f32 uy (PI.f32))))
(cos.f32 (.f32 2 (.f32 uy (PI.f32))))
(cos.f32 (.f32 2 (.f32 uy (PI.f32))))
(cos.f32 (.f32 2 (.f32 uy (PI.f32))))
(cos.f32 (.f32 2 (.f32 uy (PI.f32))))
(cos.f32 (.f32 2 (.f32 uy (PI.f32))))
(+.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) 0)
(+.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 0 (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (*.f32 2 (PI.f32)))))))
(+.f32 0 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))))
(+.f32 (.f32 0 (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (.f32 2 (PI.f32)))))) (cos.f32 (.f32 uy (*.f32 2 (PI.f32)))))
(-.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) 0)
(-.f32 0 (neg.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32))))))
(.f32 (cos.f32 (.f32 uy (*.f32 2 (PI.f32)))) 1)
(.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (*.f32 2 (PI.f32))))))
(.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (/.f32 1 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))))))
(.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (.f32 2 (PI.f32))))) (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (.f32 2 (PI.f32)))))))
(.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (/.f32 (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (.f32 2 (PI.f32))))) (cos.f32 (.f32 uy (.f32 2 (PI.f32)))))))
(.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (/.f32 1 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))))) (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (*.f32 2 (PI.f32)))))))
(.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 (.f32 (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (.f32 2 (PI.f32))))) (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (.f32 2 (PI.f32)))))) (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (*.f32 2 (PI.f32)))))))
(.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (/.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (/.f32 1 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))))) (cos.f32 (.f32 uy (*.f32 2 (PI.f32)))))))
(.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (/.f32 (.f32 (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (.f32 2 (PI.f32))))) (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (.f32 2 (PI.f32)))))) (cos.f32 (.f32 uy (*.f32 2 (PI.f32)))))))
(.f32 1 (cos.f32 (.f32 uy (*.f32 2 (PI.f32)))))
(.f32 (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (.f32 2 (PI.f32))))) (cos.f32 (.f32 uy (*.f32 2 (PI.f32)))))
(.f32 (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (.f32 2 (PI.f32))))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (/.f32 1 (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (.f32 2 (PI.f32))))))))
(.f32 (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (.f32 2 (PI.f32))))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (/.f32 (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (.f32 2 (PI.f32))))) (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (.f32 2 (PI.f32))))))))
(.f32 (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (.f32 2 (PI.f32))))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (/.f32 (.f32 (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (.f32 2 (PI.f32))))) (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (.f32 2 (PI.f32)))))) (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (*.f32 2 (PI.f32))))))))
(.f32 -1 (neg.f32 (cos.f32 (.f32 uy (*.f32 2 (PI.f32))))))
(.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (/.f32 1 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))))) (cos.f32 (.f32 uy (.f32 2 (PI.f32)))))
(.f32 (neg.f32 (cos.f32 (.f32 uy (*.f32 2 (PI.f32))))) -1)
(.f32 (neg.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32))))) (neg.f32 (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (*.f32 2 (PI.f32)))))))
(.f32 (.f32 (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (.f32 2 (PI.f32))))) (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (.f32 2 (PI.f32)))))) (cos.f32 (.f32 uy (.f32 2 (PI.f32)))))
(.f32 (neg.f32 (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (.f32 2 (PI.f32)))))) (neg.f32 (cos.f32 (.f32 uy (*.f32 2 (PI.f32))))))
(/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) 1)
(/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (.f32 2 (PI.f32))))))
(/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (/.f32 (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (.f32 2 (PI.f32))))) (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (.f32 2 (PI.f32)))))))
(neg.f32 (neg.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32))))))

Outputs
1
(+.f32 1 (.f32 -2 (.f32 (pow.f32 uy 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (.f32 (pow.f32 uy 2) (.f32 -2 (pow.f32 (PI.f32) 2))))
(+.f32 1 (.f32 (pow.f32 (PI.f32) 2) (.f32 -2 (pow.f32 uy 2))))
(+.f32 1 (+.f32 (.f32 -2 (.f32 (pow.f32 uy 2) (pow.f32 (PI.f32) 2))) (.f32 2/3 (.f32 (pow.f32 uy 4) (pow.f32 (PI.f32) 4)))))
(+.f32 1 (+.f32 (.f32 (pow.f32 uy 2) (.f32 -2 (pow.f32 (PI.f32) 2))) (.f32 (pow.f32 (PI.f32) 4) (.f32 2/3 (pow.f32 uy 4)))))
(+.f32 1 (+.f32 (.f32 (pow.f32 (PI.f32) 2) (.f32 -2 (pow.f32 uy 2))) (.f32 (pow.f32 uy 4) (.f32 2/3 (pow.f32 (PI.f32) 4)))))
(+.f32 (.f32 -4/45 (.f32 (pow.f32 uy 6) (pow.f32 (PI.f32) 6))) (+.f32 1 (+.f32 (.f32 -2 (.f32 (pow.f32 uy 2) (pow.f32 (PI.f32) 2))) (.f32 2/3 (.f32 (pow.f32 uy 4) (pow.f32 (PI.f32) 4))))))
(+.f32 1 (+.f32 (.f32 -4/45 (.f32 (pow.f32 uy 6) (pow.f32 (PI.f32) 6))) (+.f32 (.f32 -2 (.f32 (pow.f32 uy 2) (pow.f32 (PI.f32) 2))) (.f32 2/3 (.f32 (pow.f32 uy 4) (pow.f32 (PI.f32) 4))))))
(+.f32 (.f32 (pow.f32 uy 2) (.f32 -2 (pow.f32 (PI.f32) 2))) (+.f32 (.f32 (pow.f32 (PI.f32) 6) (.f32 -4/45 (pow.f32 uy 6))) (+.f32 1 (.f32 (pow.f32 (PI.f32) 4) (.f32 2/3 (pow.f32 uy 4))))))
(+.f32 (.f32 (pow.f32 (PI.f32) 2) (.f32 -2 (pow.f32 uy 2))) (+.f32 (.f32 (pow.f32 uy 4) (.f32 2/3 (pow.f32 (PI.f32) 4))) (+.f32 1 (.f32 (pow.f32 (PI.f32) 6) (.f32 -4/45 (pow.f32 uy 6))))))
(cos.f32 (.f32 2 (.f32 uy (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(cos.f32 (.f32 2 (.f32 uy (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(cos.f32 (.f32 2 (.f32 uy (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(cos.f32 (.f32 2 (.f32 uy (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(cos.f32 (.f32 2 (.f32 uy (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(cos.f32 (.f32 2 (.f32 uy (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(cos.f32 (.f32 2 (.f32 uy (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(cos.f32 (.f32 2 (.f32 uy (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(+.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) 0)
(cos.f32 (.f32 2 (.f32 uy (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(+.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 0 (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (*.f32 2 (PI.f32)))))))
(cos.f32 (.f32 2 (.f32 uy (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(+.f32 0 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))))
(cos.f32 (.f32 2 (.f32 uy (PI.f32))))
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(+.f32 (.f32 0 (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (.f32 2 (PI.f32)))))) (cos.f32 (.f32 uy (*.f32 2 (PI.f32)))))
(cos.f32 (.f32 2 (.f32 uy (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(-.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) 0)
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(.f32 (cos.f32 (.f32 uy (*.f32 2 (PI.f32)))) 1)
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(.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (*.f32 2 (PI.f32))))))
(cos.f32 (.f32 2 (.f32 uy (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
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(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (.f32 2 (PI.f32))))) (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (.f32 2 (PI.f32)))))))
(cos.f32 (.f32 2 (.f32 uy (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (/.f32 (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (.f32 2 (PI.f32))))) (cos.f32 (.f32 uy (.f32 2 (PI.f32)))))))
(cos.f32 (.f32 2 (.f32 uy (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
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(cos.f32 (.f32 2 (.f32 uy (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 (.f32 (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (.f32 2 (PI.f32))))) (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (.f32 2 (PI.f32)))))) (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (*.f32 2 (PI.f32)))))))
(cos.f32 (.f32 2 (.f32 uy (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (/.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (/.f32 1 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))))) (cos.f32 (.f32 uy (*.f32 2 (PI.f32)))))))
(cos.f32 (.f32 2 (.f32 uy (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
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(.f32 1 (cos.f32 (.f32 uy (*.f32 2 (PI.f32)))))
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(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(.f32 (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (.f32 2 (PI.f32))))) (cos.f32 (.f32 uy (*.f32 2 (PI.f32)))))
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(/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) 1)
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(/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (.f32 2 (PI.f32))))))
(cos.f32 (.f32 2 (.f32 uy (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (/.f32 (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (.f32 2 (PI.f32))))) (/.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (cos.f32 (.f32 uy (.f32 2 (PI.f32)))))))
(cos.f32 (.f32 2 (.f32 uy (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(neg.f32 (neg.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32))))))
(cos.f32 (.f32 2 (.f32 uy (PI.f32))))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))

localize266.0ms (1.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 215 to 79 computations (63.3% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite85.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

808×	`rational_best_oopsla_all_46_json_45_simplify-80`
724×	`rational_best_oopsla_all_46_json_45_simplify-35`
670×	`rational_best_oopsla_all_46_json_45_simplify-89`
544×	`rational_best_oopsla_all_46_json_45_simplify-13`
542×	`rational_best_oopsla_all_46_json_45_simplify-87`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	54	15
2	212	15
3	1093	15
4	5089	15

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

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

Outputs

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(2) ((x /.f32 (*.f32 yi (*.f32 (PI.f32) uy)) (/.f32 (*.f32 yi (/.f32 (*.f32 (PI.f32) uy) (*.f32 (PI.f32) uy))) (*.f32 yi (/.f32 (*.f32 (PI.f32) uy) (*.f32 (PI.f32) uy)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 yi (*.f32 (PI.f32) uy)) (/.f32 (/.f32 (*.f32 yi (*.f32 (PI.f32) uy)) (*.f32 yi (*.f32 (PI.f32) uy))) (/.f32 (*.f32 yi (*.f32 (PI.f32) uy)) (*.f32 yi (*.f32 (PI.f32) uy)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (*.f32 (PI.f32) uy) (neg.f32 yi)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 1 (*.f32 (*.f32 (PI.f32) uy) (neg.f32 yi))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (/.f32 yi yi) (*.f32 (*.f32 (PI.f32) uy) (neg.f32 yi))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (PI.f32) (*.f32 yi (neg.f32 uy))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 -1 (*.f32 yi (*.f32 (PI.f32) uy))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (*.f32 yi uy) (neg.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 uy (/.f32 yi yi))) (neg.f32 yi)))))))

simplify106.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1668×	`rational_best_oopsla_all_46_json_45_simplify-89`
1270×	`rational_best_oopsla_all_46_json_45_simplify-74`
1202×	`rational_best_oopsla_all_46_json_45_simplify-24`
946×	`rational_best_oopsla_all_46_json_45_simplify-10`
934×	`rational_best_oopsla_all_46_json_45_simplify-30`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	1355
1	397	1355
2	1675	1355
3	6609	1355

Stop Event

1×	node limit

Counts

77 → 66

Calls

Call 1

Inputs
(.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 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 (.f32 yi (.f32 (PI.f32) uy)) 0)
(+.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 0 (.f32 (*.f32 yi uy) (/.f32 (PI.f32) (PI.f32)))))
(+.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 0 (.f32 yi (PI.f32))))
(+.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 0 (.f32 yi (/.f32 (*.f32 (PI.f32) uy) yi))))
(+.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 0 (.f32 (/.f32 yi yi) (.f32 (PI.f32) (.f32 uy (/.f32 yi yi))))))
(+.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 0 (.f32 yi (/.f32 (.f32 (PI.f32) uy) (.f32 (PI.f32) uy)))))
(+.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 0 (/.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 yi (*.f32 (PI.f32) uy)))))
(+.f32 (.f32 yi (.f32 (PI.f32) uy)) (+.f32 (.f32 0 (.f32 (*.f32 yi uy) (/.f32 (PI.f32) (PI.f32)))) 0))
(+.f32 (.f32 yi (.f32 (PI.f32) uy)) (+.f32 (.f32 0 (.f32 yi (PI.f32))) 0))
(+.f32 (.f32 yi (.f32 (PI.f32) uy)) (+.f32 (.f32 0 (.f32 yi (/.f32 (*.f32 (PI.f32) uy) yi))) 0))
(+.f32 (.f32 yi (.f32 (PI.f32) uy)) (+.f32 (.f32 0 (.f32 (/.f32 yi yi) (.f32 (PI.f32) (.f32 uy (/.f32 yi yi))))) 0))
(+.f32 (.f32 yi (.f32 (PI.f32) uy)) (+.f32 (.f32 0 (.f32 yi (/.f32 (.f32 (PI.f32) uy) (.f32 (PI.f32) uy)))) 0))
(+.f32 (.f32 yi (.f32 (PI.f32) uy)) (+.f32 (.f32 0 (/.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 yi (*.f32 (PI.f32) uy)))) 0))
(+.f32 0 (.f32 yi (.f32 (PI.f32) uy)))
(+.f32 (.f32 0 (.f32 (.f32 yi uy) (/.f32 (PI.f32) (PI.f32)))) (.f32 yi (*.f32 (PI.f32) uy)))
(+.f32 (.f32 0 (.f32 yi (PI.f32))) (.f32 yi (.f32 (PI.f32) uy)))
(+.f32 (.f32 0 (.f32 yi (/.f32 (.f32 (PI.f32) uy) yi))) (.f32 yi (*.f32 (PI.f32) uy)))
(+.f32 (.f32 0 (.f32 (/.f32 yi yi) (.f32 (PI.f32) (.f32 uy (/.f32 yi yi))))) (.f32 yi (.f32 (PI.f32) uy)))
(+.f32 (.f32 0 (.f32 yi (/.f32 (.f32 (PI.f32) uy) (.f32 (PI.f32) uy)))) (.f32 yi (.f32 (PI.f32) uy)))
(+.f32 (.f32 0 (/.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 yi (.f32 (PI.f32) uy)))) (.f32 yi (*.f32 (PI.f32) uy)))
(-.f32 (.f32 yi (.f32 (PI.f32) uy)) 0)
(-.f32 0 (.f32 (.f32 (PI.f32) uy) (neg.f32 yi)))
(-.f32 0 (.f32 1 (.f32 (*.f32 (PI.f32) uy) (neg.f32 yi))))
(-.f32 0 (.f32 (/.f32 yi yi) (.f32 (*.f32 (PI.f32) uy) (neg.f32 yi))))
(-.f32 0 (.f32 (PI.f32) (.f32 yi (neg.f32 uy))))
(-.f32 0 (.f32 -1 (.f32 yi (*.f32 (PI.f32) uy))))
(-.f32 0 (.f32 (.f32 yi uy) (neg.f32 (PI.f32))))
(-.f32 0 (.f32 (.f32 (PI.f32) (*.f32 uy (/.f32 yi yi))) (neg.f32 yi)))
(-.f32 (.f32 0 (.f32 yi (/.f32 (.f32 (PI.f32) uy) (.f32 (PI.f32) uy)))) (.f32 (.f32 yi (/.f32 (.f32 (PI.f32) uy) (.f32 (PI.f32) uy))) (*.f32 (PI.f32) (neg.f32 uy))))
(-.f32 (.f32 0 (/.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 yi (.f32 (PI.f32) uy)))) (.f32 (/.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 yi (.f32 (PI.f32) uy))) (.f32 (.f32 (PI.f32) uy) (neg.f32 yi))))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) 1)
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (PI.f32) (PI.f32)))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 yi yi))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (.f32 (PI.f32) uy) (.f32 (PI.f32) uy)))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 uy uy))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 yi (.f32 (PI.f32) uy))))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (/.f32 yi yi) (/.f32 yi yi)))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (.f32 (PI.f32) (.f32 uy (/.f32 yi yi))) (.f32 (PI.f32) (.f32 uy (/.f32 yi yi)))))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (.f32 uy (/.f32 (PI.f32) (PI.f32))) (.f32 uy (/.f32 (PI.f32) (PI.f32)))))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (.f32 yi uy) (.f32 yi uy)))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (.f32 (.f32 yi uy) (/.f32 (PI.f32) (PI.f32))) (.f32 (.f32 yi uy) (/.f32 (PI.f32) (PI.f32)))))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (.f32 yi (PI.f32)) (.f32 yi (PI.f32))))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (.f32 yi (/.f32 (.f32 (PI.f32) uy) yi)) (.f32 yi (/.f32 (.f32 (PI.f32) uy) yi))))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (.f32 (/.f32 yi yi) (.f32 (PI.f32) (.f32 uy (/.f32 yi yi)))) (.f32 (/.f32 yi yi) (.f32 (PI.f32) (.f32 uy (/.f32 yi yi))))))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (.f32 yi (/.f32 (.f32 (PI.f32) uy) (.f32 (PI.f32) uy))) (.f32 yi (/.f32 (.f32 (PI.f32) uy) (.f32 (PI.f32) uy)))))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (/.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 yi (.f32 (PI.f32) uy))) (/.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 yi (.f32 (PI.f32) uy)))))
(neg.f32 (.f32 (.f32 (PI.f32) uy) (neg.f32 yi)))
(neg.f32 (.f32 1 (.f32 (*.f32 (PI.f32) uy) (neg.f32 yi))))
(neg.f32 (.f32 (/.f32 yi yi) (.f32 (*.f32 (PI.f32) uy) (neg.f32 yi))))
(neg.f32 (.f32 (PI.f32) (.f32 yi (neg.f32 uy))))
(neg.f32 (.f32 -1 (.f32 yi (*.f32 (PI.f32) uy))))
(neg.f32 (.f32 (.f32 yi uy) (neg.f32 (PI.f32))))
(neg.f32 (.f32 (.f32 (PI.f32) (*.f32 uy (/.f32 yi yi))) (neg.f32 yi)))

Outputs
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(+.f32 (.f32 yi (.f32 (PI.f32) uy)) 0)
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(+.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 0 (.f32 (*.f32 yi uy) (/.f32 (PI.f32) (PI.f32)))))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(+.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 0 (.f32 yi (PI.f32))))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(+.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 0 (.f32 yi (/.f32 (*.f32 (PI.f32) uy) yi))))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(+.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 0 (.f32 (/.f32 yi yi) (.f32 (PI.f32) (.f32 uy (/.f32 yi yi))))))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(+.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 0 (.f32 yi (/.f32 (.f32 (PI.f32) uy) (.f32 (PI.f32) uy)))))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(+.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 0 (/.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 yi (*.f32 (PI.f32) uy)))))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(+.f32 (.f32 yi (.f32 (PI.f32) uy)) (+.f32 (.f32 0 (.f32 (*.f32 yi uy) (/.f32 (PI.f32) (PI.f32)))) 0))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(+.f32 (.f32 yi (.f32 (PI.f32) uy)) (+.f32 (.f32 0 (.f32 yi (PI.f32))) 0))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(+.f32 (.f32 yi (.f32 (PI.f32) uy)) (+.f32 (.f32 0 (.f32 yi (/.f32 (*.f32 (PI.f32) uy) yi))) 0))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(+.f32 (.f32 yi (.f32 (PI.f32) uy)) (+.f32 (.f32 0 (.f32 (/.f32 yi yi) (.f32 (PI.f32) (.f32 uy (/.f32 yi yi))))) 0))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(+.f32 (.f32 yi (.f32 (PI.f32) uy)) (+.f32 (.f32 0 (.f32 yi (/.f32 (.f32 (PI.f32) uy) (.f32 (PI.f32) uy)))) 0))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(+.f32 (.f32 yi (.f32 (PI.f32) uy)) (+.f32 (.f32 0 (/.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 yi (*.f32 (PI.f32) uy)))) 0))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(+.f32 0 (.f32 yi (.f32 (PI.f32) uy)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(+.f32 (.f32 0 (.f32 (.f32 yi uy) (/.f32 (PI.f32) (PI.f32)))) (.f32 yi (*.f32 (PI.f32) uy)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(+.f32 (.f32 0 (.f32 yi (PI.f32))) (.f32 yi (.f32 (PI.f32) uy)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(+.f32 (.f32 0 (.f32 yi (/.f32 (.f32 (PI.f32) uy) yi))) (.f32 yi (*.f32 (PI.f32) uy)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(+.f32 (.f32 0 (.f32 (/.f32 yi yi) (.f32 (PI.f32) (.f32 uy (/.f32 yi yi))))) (.f32 yi (.f32 (PI.f32) uy)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(+.f32 (.f32 0 (.f32 yi (/.f32 (.f32 (PI.f32) uy) (.f32 (PI.f32) uy)))) (.f32 yi (.f32 (PI.f32) uy)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(+.f32 (.f32 0 (/.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 yi (.f32 (PI.f32) uy)))) (.f32 yi (*.f32 (PI.f32) uy)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(-.f32 (.f32 yi (.f32 (PI.f32) uy)) 0)
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(-.f32 0 (.f32 (.f32 (PI.f32) uy) (neg.f32 yi)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(-.f32 0 (.f32 1 (.f32 (*.f32 (PI.f32) uy) (neg.f32 yi))))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(-.f32 0 (.f32 (/.f32 yi yi) (.f32 (*.f32 (PI.f32) uy) (neg.f32 yi))))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(-.f32 0 (.f32 (PI.f32) (.f32 yi (neg.f32 uy))))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(-.f32 0 (.f32 -1 (.f32 yi (*.f32 (PI.f32) uy))))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(-.f32 0 (.f32 (.f32 yi uy) (neg.f32 (PI.f32))))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(-.f32 0 (.f32 (.f32 (PI.f32) (*.f32 uy (/.f32 yi yi))) (neg.f32 yi)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(-.f32 (.f32 0 (.f32 yi (/.f32 (.f32 (PI.f32) uy) (.f32 (PI.f32) uy)))) (.f32 (.f32 yi (/.f32 (.f32 (PI.f32) uy) (.f32 (PI.f32) uy))) (*.f32 (PI.f32) (neg.f32 uy))))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(-.f32 (.f32 0 (/.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 yi (.f32 (PI.f32) uy)))) (.f32 (/.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 yi (.f32 (PI.f32) uy))) (.f32 (.f32 (PI.f32) uy) (neg.f32 yi))))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) 1)
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (PI.f32) (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 yi yi))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (.f32 (PI.f32) uy) (.f32 (PI.f32) uy)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 uy uy))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 yi (.f32 (PI.f32) uy))))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (/.f32 yi yi) (/.f32 yi yi)))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 (/.f32 yi yi) (/.f32 yi yi)))
(/.f32 (.f32 uy (.f32 yi (PI.f32))) (/.f32 (/.f32 yi yi) (/.f32 yi yi)))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (.f32 (PI.f32) (.f32 uy (/.f32 yi yi))) (.f32 (PI.f32) (.f32 uy (/.f32 yi yi)))))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (.f32 uy (/.f32 (PI.f32) (PI.f32))) (.f32 uy (/.f32 (PI.f32) (PI.f32)))))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 (.f32 uy (/.f32 (PI.f32) (PI.f32))) (.f32 uy (/.f32 (PI.f32) (PI.f32)))))
(/.f32 (.f32 uy (.f32 yi (PI.f32))) (/.f32 (.f32 uy (/.f32 (PI.f32) (PI.f32))) (.f32 uy (/.f32 (PI.f32) (PI.f32)))))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (.f32 yi uy) (.f32 yi uy)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (.f32 (.f32 yi uy) (/.f32 (PI.f32) (PI.f32))) (.f32 (.f32 yi uy) (/.f32 (PI.f32) (PI.f32)))))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 (.f32 (.f32 uy yi) (/.f32 (PI.f32) (PI.f32))) (.f32 (.f32 uy yi) (/.f32 (PI.f32) (PI.f32)))))
(/.f32 (.f32 uy (.f32 yi (PI.f32))) (/.f32 (.f32 uy (.f32 (/.f32 (PI.f32) (PI.f32)) yi)) (.f32 uy (.f32 (/.f32 (PI.f32) (PI.f32)) yi))))
(/.f32 (.f32 uy (.f32 yi (PI.f32))) (/.f32 (.f32 uy (.f32 yi (/.f32 (PI.f32) (PI.f32)))) (.f32 uy (.f32 yi (/.f32 (PI.f32) (PI.f32))))))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (.f32 yi (PI.f32)) (.f32 yi (PI.f32))))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (.f32 yi (/.f32 (.f32 (PI.f32) uy) yi)) (.f32 yi (/.f32 (.f32 (PI.f32) uy) yi))))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (.f32 (/.f32 yi yi) (.f32 (PI.f32) (.f32 uy (/.f32 yi yi)))) (.f32 (/.f32 yi yi) (.f32 (PI.f32) (.f32 uy (/.f32 yi yi))))))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 (.f32 (PI.f32) (.f32 (/.f32 yi yi) (.f32 uy (/.f32 yi yi)))) (.f32 (PI.f32) (.f32 (/.f32 yi yi) (.f32 uy (/.f32 yi yi))))))
(/.f32 (.f32 uy (.f32 yi (PI.f32))) (/.f32 (.f32 (PI.f32) (.f32 uy (.f32 (/.f32 yi yi) (/.f32 yi yi)))) (.f32 (PI.f32) (.f32 uy (.f32 (/.f32 yi yi) (/.f32 yi yi))))))
(/.f32 (.f32 uy (.f32 yi (PI.f32))) (/.f32 (.f32 (/.f32 yi yi) (.f32 (.f32 uy (PI.f32)) (/.f32 yi yi))) (.f32 (/.f32 yi yi) (.f32 (.f32 uy (PI.f32)) (/.f32 yi yi)))))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (.f32 yi (/.f32 (.f32 (PI.f32) uy) (.f32 (PI.f32) uy))) (.f32 yi (/.f32 (.f32 (PI.f32) uy) (.f32 (PI.f32) uy)))))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(/.f32 (.f32 yi (.f32 (PI.f32) uy)) (/.f32 (/.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 yi (.f32 (PI.f32) uy))) (/.f32 (.f32 yi (.f32 (PI.f32) uy)) (.f32 yi (.f32 (PI.f32) uy)))))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(neg.f32 (.f32 (.f32 (PI.f32) uy) (neg.f32 yi)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(neg.f32 (.f32 1 (.f32 (*.f32 (PI.f32) uy) (neg.f32 yi))))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(neg.f32 (.f32 (/.f32 yi yi) (.f32 (*.f32 (PI.f32) uy) (neg.f32 yi))))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(neg.f32 (.f32 (PI.f32) (.f32 yi (neg.f32 uy))))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(neg.f32 (.f32 -1 (.f32 yi (*.f32 (PI.f32) uy))))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(neg.f32 (.f32 (.f32 yi uy) (neg.f32 (PI.f32))))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(neg.f32 (.f32 (.f32 (PI.f32) (*.f32 uy (/.f32 yi yi))) (neg.f32 yi)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))

localize159.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(cos.f32 (.f32 uy (.f32 2 (PI.f32))))
	0.3b	(.f32 uy (.f32 (PI.f32) yi))
	0.4b	(.f32 uy (.f32 2 (PI.f32)))
	0.4b	(*.f32 (PI.f32) yi)

Compiler

Compiled 229 to 75 computations (67.2% saved)

localize381.0ms (1.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f32 (PI.f32) (.f32 yi uy))
	0.4b	(.f32 uy (.f32 2 (PI.f32)))
✓	0.4b	(*.f32 -4/3 (pow.f32 uy 3))
	1.0b	(pow.f32 (PI.f32) 3)

Compiler

Compiled 331 to 142 computations (57.1% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

9 calls:

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

rewrite86.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`rational_best_oopsla_all_46_json_45_simplify-80`
824×	`rational_best_oopsla_all_46_json_45_simplify-35`
722×	`rational_best_oopsla_all_46_json_45_simplify-89`
586×	`rational_best_oopsla_all_46_json_45_simplify-13`
580×	`rational_best_oopsla_all_46_json_45_simplify-87`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	76	28
2	254	28
3	1225	28
4	5576	28

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 -4/3 (pow.f32 uy 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 -4/3 (pow.f32 uy 3)) (*.f32 0 (/.f32 (*.f32 (pow.f32 uy 3) 4/3) (*.f32 (pow.f32 uy 3) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 -4/3 (pow.f32 uy 3)) (*.f32 0 (*.f32 -4/3 (/.f32 (pow.f32 uy 3) (pow.f32 uy 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 -4/3 (pow.f32 uy 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (/.f32 (*.f32 (pow.f32 uy 3) 4/3) (*.f32 (pow.f32 uy 3) 4/3))) (*.f32 -4/3 (pow.f32 uy 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (*.f32 -4/3 (/.f32 (pow.f32 uy 3) (pow.f32 uy 3)))) (*.f32 -4/3 (pow.f32 uy 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 -4/3 (pow.f32 uy 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 (pow.f32 uy 3) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 1 (*.f32 (pow.f32 uy 3) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 -1 (*.f32 -4/3 (pow.f32 uy 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 0 (/.f32 (*.f32 (pow.f32 uy 3) 4/3) (*.f32 (pow.f32 uy 3) 4/3))) (*.f32 (/.f32 (*.f32 (pow.f32 uy 3) 4/3) (*.f32 (pow.f32 uy 3) 4/3)) (*.f32 (pow.f32 uy 3) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 -4/3 (pow.f32 uy 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 -4/3 (pow.f32 uy 3)) (/.f32 (pow.f32 uy 3) (pow.f32 uy 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 -4/3 (pow.f32 uy 3)) (/.f32 (*.f32 (pow.f32 uy 3) 4/3) (*.f32 (pow.f32 uy 3) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 -4/3 (pow.f32 uy 3)) (/.f32 (*.f32 -4/3 (/.f32 (pow.f32 uy 3) (pow.f32 uy 3))) (*.f32 -4/3 (/.f32 (pow.f32 uy 3) (pow.f32 uy 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 -4/3 (pow.f32 uy 3)) (/.f32 (/.f32 (*.f32 (pow.f32 uy 3) 4/3) (*.f32 (pow.f32 uy 3) 4/3)) (/.f32 (*.f32 (pow.f32 uy 3) 4/3) (*.f32 (pow.f32 uy 3) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 uy 3) 4/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (pow.f32 uy 3) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 1 (*.f32 (pow.f32 uy 3) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 -1 (*.f32 -4/3 (pow.f32 uy 3))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 uy (*.f32 (PI.f32) yi)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 uy (*.f32 (PI.f32) yi)) (*.f32 0 (/.f32 (*.f32 uy (*.f32 (PI.f32) yi)) (*.f32 uy (*.f32 (PI.f32) yi)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 uy (*.f32 (PI.f32) yi)) (*.f32 0 (*.f32 (PI.f32) (/.f32 (*.f32 uy yi) (*.f32 uy yi)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 uy (*.f32 (PI.f32) yi)) (*.f32 0 (*.f32 (PI.f32) (/.f32 (*.f32 uy yi) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 uy (*.f32 (PI.f32) yi)) (*.f32 0 (*.f32 (PI.f32) yi)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 uy (*.f32 (PI.f32) yi)) (*.f32 0 (*.f32 (/.f32 (PI.f32) (PI.f32)) (*.f32 yi (*.f32 uy (/.f32 (PI.f32) (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 uy (*.f32 (PI.f32) yi)) (*.f32 0 (*.f32 uy (*.f32 (PI.f32) (/.f32 yi yi)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 uy (*.f32 (PI.f32) yi)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (/.f32 (*.f32 uy (*.f32 (PI.f32) yi)) (*.f32 uy (*.f32 (PI.f32) yi)))) (*.f32 uy (*.f32 (PI.f32) yi)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (*.f32 (PI.f32) (/.f32 (*.f32 uy yi) (*.f32 uy yi)))) (*.f32 uy (*.f32 (PI.f32) yi)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (*.f32 (PI.f32) (/.f32 (*.f32 uy yi) (PI.f32)))) (*.f32 uy (*.f32 (PI.f32) yi)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (*.f32 (PI.f32) yi)) (*.f32 uy (*.f32 (PI.f32) yi)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (*.f32 (/.f32 (PI.f32) (PI.f32)) (*.f32 yi (*.f32 uy (/.f32 (PI.f32) (PI.f32)))))) (*.f32 uy (*.f32 (PI.f32) yi)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (*.f32 uy (*.f32 (PI.f32) (/.f32 yi yi)))) (*.f32 uy (*.f32 (PI.f32) yi)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 uy (*.f32 (PI.f32) yi)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 (PI.f32) (*.f32 uy (neg.f32 yi))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 yi (*.f32 uy (neg.f32 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 1 (*.f32 (PI.f32) (*.f32 uy (neg.f32 yi)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 (/.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 uy (neg.f32 yi)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 (neg.f32 yi) (*.f32 uy (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 -1 (*.f32 uy (*.f32 (PI.f32) yi))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 (*.f32 (/.f32 (PI.f32) (PI.f32)) (*.f32 uy (neg.f32 yi))) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 (*.f32 uy (neg.f32 (PI.f32))) yi))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 0 (/.f32 (*.f32 uy (*.f32 (PI.f32) yi)) (*.f32 uy (*.f32 (PI.f32) yi)))) (*.f32 (/.f32 (*.f32 uy (*.f32 (PI.f32) yi)) (*.f32 uy (*.f32 (PI.f32) yi))) (*.f32 (PI.f32) (*.f32 uy (neg.f32 yi)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 0 (*.f32 (PI.f32) (/.f32 (*.f32 uy yi) (*.f32 uy yi)))) (*.f32 (*.f32 (PI.f32) (/.f32 (*.f32 uy yi) (*.f32 uy yi))) (*.f32 uy (neg.f32 yi))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 uy (*.f32 (PI.f32) yi)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 uy (*.f32 (PI.f32) yi)) (/.f32 yi yi))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 uy (*.f32 (PI.f32) yi)) (/.f32 (PI.f32) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 uy (*.f32 (PI.f32) yi)) (/.f32 (*.f32 uy yi) (*.f32 uy yi)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 uy (*.f32 (PI.f32) yi)) (/.f32 uy uy))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 uy (*.f32 (PI.f32) yi)) (/.f32 (*.f32 uy (*.f32 (PI.f32) yi)) (*.f32 uy (*.f32 (PI.f32) yi))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 uy (*.f32 (PI.f32) yi)) (/.f32 (*.f32 uy (/.f32 yi yi)) (*.f32 uy (/.f32 yi yi))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 uy (*.f32 (PI.f32) yi)) (/.f32 (*.f32 yi (*.f32 uy (/.f32 (PI.f32) (PI.f32)))) (*.f32 yi (*.f32 uy (/.f32 (PI.f32) (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 uy (*.f32 (PI.f32) yi)) (/.f32 (/.f32 (PI.f32) (PI.f32)) (/.f32 (PI.f32) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 uy (*.f32 (PI.f32) yi)) (/.f32 (*.f32 uy (PI.f32)) (*.f32 uy (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 uy (*.f32 (PI.f32) yi)) (/.f32 (/.f32 (*.f32 uy (*.f32 (PI.f32) yi)) (*.f32 uy (*.f32 (PI.f32) yi))) (/.f32 (*.f32 uy (*.f32 (PI.f32) yi)) (*.f32 uy (*.f32 (PI.f32) yi)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 uy (*.f32 (PI.f32) yi)) (/.f32 (*.f32 (PI.f32) yi) (*.f32 (PI.f32) yi)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 uy (*.f32 (PI.f32) yi)) (/.f32 (*.f32 (PI.f32) (/.f32 (*.f32 uy yi) (PI.f32))) (*.f32 (PI.f32) (/.f32 (*.f32 uy yi) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 uy (*.f32 (PI.f32) yi)) (/.f32 (*.f32 (/.f32 (PI.f32) (PI.f32)) (*.f32 yi (*.f32 uy (/.f32 (PI.f32) (PI.f32))))) (*.f32 (/.f32 (PI.f32) (PI.f32)) (*.f32 yi (*.f32 uy (/.f32 (PI.f32) (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 uy (*.f32 (PI.f32) yi)) (/.f32 (*.f32 uy (*.f32 (PI.f32) (/.f32 yi yi))) (*.f32 uy (*.f32 (PI.f32) (/.f32 yi yi)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 uy (*.f32 (PI.f32) yi)) (/.f32 (*.f32 (PI.f32) (/.f32 (*.f32 uy yi) (*.f32 uy yi))) (*.f32 (PI.f32) (/.f32 (*.f32 uy yi) (*.f32 uy yi)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (PI.f32) (*.f32 uy (neg.f32 yi))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 yi (*.f32 uy (neg.f32 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 1 (*.f32 (PI.f32) (*.f32 uy (neg.f32 yi)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (/.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 uy (neg.f32 yi)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (neg.f32 yi) (*.f32 uy (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 -1 (*.f32 uy (*.f32 (PI.f32) yi))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (*.f32 (/.f32 (PI.f32) (PI.f32)) (*.f32 uy (neg.f32 yi))) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (*.f32 uy (neg.f32 (PI.f32))) yi))))))

simplify92.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1114×	`rational_best_oopsla_all_46_json_45_simplify-10`
1094×	`rational_best_oopsla_all_46_json_45_simplify-30`
972×	`rational_best_oopsla_all_46_json_45_simplify-13`
726×	`rational_best_oopsla_all_46_json_45_simplify-23`
692×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	147	1923
1	490	1923
2	2107	1911
3	5241	1911

Stop Event

1×	node limit

Counts

93 → 93

Calls

Call 1

Inputs
(.f32 uy (.f32 yi (PI.f32)))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 uy (.f32 yi (PI.f32)))
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(.f32 uy (.f32 yi (PI.f32)))
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(.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 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 (*.f32 -4/3 (pow.f32 uy 3)) 0)
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(+.f32 (.f32 -4/3 (pow.f32 uy 3)) (.f32 0 (*.f32 -4/3 (/.f32 (pow.f32 uy 3) (pow.f32 uy 3)))))
(+.f32 0 (*.f32 -4/3 (pow.f32 uy 3)))
(+.f32 (.f32 0 (/.f32 (.f32 (pow.f32 uy 3) 4/3) (.f32 (pow.f32 uy 3) 4/3))) (.f32 -4/3 (pow.f32 uy 3)))
(+.f32 (.f32 0 (.f32 -4/3 (/.f32 (pow.f32 uy 3) (pow.f32 uy 3)))) (*.f32 -4/3 (pow.f32 uy 3)))
(-.f32 (*.f32 -4/3 (pow.f32 uy 3)) 0)
(-.f32 0 (*.f32 (pow.f32 uy 3) 4/3))
(-.f32 0 (.f32 1 (.f32 (pow.f32 uy 3) 4/3)))
(-.f32 0 (.f32 -1 (.f32 -4/3 (pow.f32 uy 3))))
(-.f32 (.f32 0 (/.f32 (.f32 (pow.f32 uy 3) 4/3) (.f32 (pow.f32 uy 3) 4/3))) (.f32 (/.f32 (.f32 (pow.f32 uy 3) 4/3) (.f32 (pow.f32 uy 3) 4/3)) (*.f32 (pow.f32 uy 3) 4/3)))
(/.f32 (*.f32 -4/3 (pow.f32 uy 3)) 1)
(/.f32 (*.f32 -4/3 (pow.f32 uy 3)) (/.f32 (pow.f32 uy 3) (pow.f32 uy 3)))
(/.f32 (.f32 -4/3 (pow.f32 uy 3)) (/.f32 (.f32 (pow.f32 uy 3) 4/3) (*.f32 (pow.f32 uy 3) 4/3)))
(/.f32 (.f32 -4/3 (pow.f32 uy 3)) (/.f32 (.f32 -4/3 (/.f32 (pow.f32 uy 3) (pow.f32 uy 3))) (*.f32 -4/3 (/.f32 (pow.f32 uy 3) (pow.f32 uy 3)))))
(/.f32 (.f32 -4/3 (pow.f32 uy 3)) (/.f32 (/.f32 (.f32 (pow.f32 uy 3) 4/3) (.f32 (pow.f32 uy 3) 4/3)) (/.f32 (.f32 (pow.f32 uy 3) 4/3) (*.f32 (pow.f32 uy 3) 4/3))))
(/.f32 (*.f32 (pow.f32 uy 3) 4/3) -1)
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(+.f32 (.f32 uy (.f32 (PI.f32) yi)) (.f32 0 (.f32 uy (*.f32 (PI.f32) (/.f32 yi yi)))))
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(+.f32 (.f32 0 (/.f32 (.f32 uy (.f32 (PI.f32) yi)) (.f32 uy (.f32 (PI.f32) yi)))) (.f32 uy (*.f32 (PI.f32) yi)))
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(+.f32 (.f32 0 (.f32 (PI.f32) (/.f32 (.f32 uy yi) (PI.f32)))) (.f32 uy (*.f32 (PI.f32) yi)))
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(+.f32 (.f32 0 (.f32 uy (.f32 (PI.f32) (/.f32 yi yi)))) (.f32 uy (*.f32 (PI.f32) yi)))
(-.f32 (.f32 uy (.f32 (PI.f32) yi)) 0)
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(-.f32 0 (.f32 -1 (.f32 uy (*.f32 (PI.f32) yi))))
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(-.f32 0 (.f32 (.f32 uy (neg.f32 (PI.f32))) yi))
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(-.f32 (.f32 0 (.f32 (PI.f32) (/.f32 (.f32 uy yi) (.f32 uy yi)))) (.f32 (.f32 (PI.f32) (/.f32 (.f32 uy yi) (.f32 uy yi))) (*.f32 uy (neg.f32 yi))))
(/.f32 (.f32 uy (.f32 (PI.f32) yi)) 1)
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(/.f32 (.f32 uy (.f32 (PI.f32) yi)) (/.f32 (.f32 yi (.f32 uy (/.f32 (PI.f32) (PI.f32)))) (.f32 yi (.f32 uy (/.f32 (PI.f32) (PI.f32))))))
(/.f32 (.f32 uy (.f32 (PI.f32) yi)) (/.f32 (/.f32 (PI.f32) (PI.f32)) (/.f32 (PI.f32) (PI.f32))))
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(/.f32 (.f32 uy (.f32 (PI.f32) yi)) (/.f32 (.f32 (PI.f32) yi) (.f32 (PI.f32) yi)))
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(/.f32 (.f32 uy (.f32 (PI.f32) yi)) (/.f32 (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 yi (.f32 uy (/.f32 (PI.f32) (PI.f32))))) (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 yi (.f32 uy (/.f32 (PI.f32) (PI.f32)))))))
(/.f32 (.f32 uy (.f32 (PI.f32) yi)) (/.f32 (.f32 uy (.f32 (PI.f32) (/.f32 yi yi))) (.f32 uy (.f32 (PI.f32) (/.f32 yi yi)))))
(/.f32 (.f32 uy (.f32 (PI.f32) yi)) (/.f32 (.f32 (PI.f32) (/.f32 (.f32 uy yi) (.f32 uy yi))) (.f32 (PI.f32) (/.f32 (.f32 uy yi) (.f32 uy yi)))))
(neg.f32 (.f32 (PI.f32) (.f32 uy (neg.f32 yi))))
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(neg.f32 (.f32 1 (.f32 (PI.f32) (*.f32 uy (neg.f32 yi)))))
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(neg.f32 (.f32 (.f32 uy (neg.f32 (PI.f32))) yi))

Outputs
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
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(.f32 (PI.f32) (.f32 uy yi))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(.f32 yi (.f32 uy (PI.f32)))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
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(.f32 (PI.f32) (.f32 uy yi))
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(.f32 (PI.f32) (.f32 uy yi))
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(.f32 (PI.f32) (.f32 uy yi))
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(.f32 (PI.f32) (.f32 uy yi))
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(.f32 (PI.f32) (.f32 uy yi))
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(*.f32 -4/3 (pow.f32 uy 3))
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(*.f32 -4/3 (pow.f32 uy 3))
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(/.f32 (*.f32 -4/3 (pow.f32 uy 3)) 1)
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(.f32 uy (.f32 yi (PI.f32)))
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(+.f32 (.f32 0 (.f32 (PI.f32) yi)) (.f32 uy (.f32 (PI.f32) yi)))
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(+.f32 (.f32 0 (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 yi (.f32 uy (/.f32 (PI.f32) (PI.f32)))))) (.f32 uy (.f32 (PI.f32) yi)))
(.f32 uy (.f32 yi (PI.f32)))
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(+.f32 (.f32 0 (.f32 uy (.f32 (PI.f32) (/.f32 yi yi)))) (.f32 uy (*.f32 (PI.f32) yi)))
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(-.f32 (.f32 uy (.f32 (PI.f32) yi)) 0)
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(-.f32 0 (.f32 (PI.f32) (.f32 uy (neg.f32 yi))))
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(-.f32 0 (.f32 yi (.f32 uy (neg.f32 (PI.f32)))))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(-.f32 0 (.f32 1 (.f32 (PI.f32) (*.f32 uy (neg.f32 yi)))))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(-.f32 0 (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (*.f32 uy (neg.f32 yi)))))
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(.f32 (PI.f32) (.f32 uy yi))
(-.f32 0 (.f32 -1 (.f32 uy (*.f32 (PI.f32) yi))))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(-.f32 0 (.f32 (.f32 (/.f32 (PI.f32) (PI.f32)) (*.f32 uy (neg.f32 yi))) (PI.f32)))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(-.f32 0 (.f32 (.f32 uy (neg.f32 (PI.f32))) yi))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(-.f32 (.f32 0 (/.f32 (.f32 uy (.f32 (PI.f32) yi)) (.f32 uy (.f32 (PI.f32) yi)))) (.f32 (/.f32 (.f32 uy (.f32 (PI.f32) yi)) (.f32 uy (.f32 (PI.f32) yi))) (.f32 (PI.f32) (.f32 uy (neg.f32 yi)))))
(.f32 (/.f32 (.f32 uy (.f32 yi (PI.f32))) (.f32 uy (.f32 yi (PI.f32)))) (neg.f32 (.f32 (PI.f32) (*.f32 uy (neg.f32 yi)))))
(.f32 (/.f32 (.f32 uy (.f32 yi (PI.f32))) (.f32 uy (.f32 yi (PI.f32)))) (neg.f32 (.f32 uy (*.f32 (PI.f32) (neg.f32 yi)))))
(.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 (.f32 (PI.f32) (.f32 uy yi)) (.f32 (PI.f32) (*.f32 uy yi))))
(-.f32 (.f32 0 (.f32 (PI.f32) (/.f32 (.f32 uy yi) (.f32 uy yi)))) (.f32 (.f32 (PI.f32) (/.f32 (.f32 uy yi) (.f32 uy yi))) (*.f32 uy (neg.f32 yi))))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(/.f32 (.f32 uy (.f32 (PI.f32) yi)) 1)
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(/.f32 (.f32 uy (.f32 (PI.f32) yi)) (/.f32 yi yi))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(/.f32 (.f32 uy (.f32 (PI.f32) yi)) (/.f32 (PI.f32) (PI.f32)))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(/.f32 (.f32 uy (.f32 (PI.f32) yi)) (/.f32 (.f32 uy yi) (.f32 uy yi)))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(/.f32 (.f32 uy (.f32 (PI.f32) yi)) (/.f32 uy uy))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(/.f32 (.f32 uy (.f32 (PI.f32) yi)) (/.f32 (.f32 uy (.f32 (PI.f32) yi)) (.f32 uy (.f32 (PI.f32) yi))))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(/.f32 (.f32 uy (.f32 (PI.f32) yi)) (/.f32 (.f32 uy (/.f32 yi yi)) (.f32 uy (/.f32 yi yi))))
(/.f32 (.f32 uy (.f32 yi (PI.f32))) (/.f32 (.f32 uy (/.f32 yi yi)) (.f32 uy (/.f32 yi yi))))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 (.f32 uy (/.f32 yi yi)) (.f32 uy (/.f32 yi yi))))
(/.f32 (.f32 uy (.f32 (PI.f32) yi)) (/.f32 (.f32 yi (.f32 uy (/.f32 (PI.f32) (PI.f32)))) (.f32 yi (.f32 uy (/.f32 (PI.f32) (PI.f32))))))
(/.f32 (.f32 uy (.f32 yi (PI.f32))) (/.f32 (.f32 yi (.f32 uy (/.f32 (PI.f32) (PI.f32)))) (.f32 yi (.f32 uy (/.f32 (PI.f32) (PI.f32))))))
(/.f32 (.f32 uy (.f32 yi (PI.f32))) (/.f32 (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 uy yi)) (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 uy yi))))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 uy yi)) (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 uy yi))))
(/.f32 (.f32 uy (.f32 (PI.f32) yi)) (/.f32 (/.f32 (PI.f32) (PI.f32)) (/.f32 (PI.f32) (PI.f32))))
(/.f32 (.f32 uy (.f32 yi (PI.f32))) (/.f32 (/.f32 (PI.f32) (PI.f32)) (/.f32 (PI.f32) (PI.f32))))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 (/.f32 (PI.f32) (PI.f32)) (/.f32 (PI.f32) (PI.f32))))
(/.f32 (.f32 uy (.f32 (PI.f32) yi)) (/.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32))))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(/.f32 (.f32 uy (.f32 (PI.f32) yi)) (/.f32 (/.f32 (.f32 uy (.f32 (PI.f32) yi)) (.f32 uy (.f32 (PI.f32) yi))) (/.f32 (.f32 uy (.f32 (PI.f32) yi)) (.f32 uy (.f32 (PI.f32) yi)))))
(/.f32 (.f32 uy (.f32 yi (PI.f32))) (/.f32 (/.f32 (.f32 uy (.f32 yi (PI.f32))) (.f32 uy (.f32 yi (PI.f32)))) (/.f32 (.f32 uy (.f32 yi (PI.f32))) (.f32 uy (.f32 yi (PI.f32))))))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 (/.f32 (.f32 (PI.f32) (.f32 uy yi)) (.f32 (PI.f32) (.f32 uy yi))) (/.f32 (.f32 (PI.f32) (.f32 uy yi)) (.f32 (PI.f32) (.f32 uy yi)))))
(/.f32 (.f32 uy (.f32 (PI.f32) yi)) (/.f32 (.f32 (PI.f32) yi) (.f32 (PI.f32) yi)))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(/.f32 (.f32 uy (.f32 (PI.f32) yi)) (/.f32 (.f32 (PI.f32) (/.f32 (.f32 uy yi) (PI.f32))) (.f32 (PI.f32) (/.f32 (.f32 uy yi) (PI.f32)))))
(/.f32 (.f32 uy (.f32 yi (PI.f32))) (/.f32 (.f32 (PI.f32) (/.f32 (.f32 uy yi) (PI.f32))) (.f32 (PI.f32) (/.f32 (.f32 uy yi) (PI.f32)))))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 (.f32 (PI.f32) (/.f32 (.f32 uy yi) (PI.f32))) (.f32 (PI.f32) (/.f32 (.f32 uy yi) (PI.f32)))))
(/.f32 (.f32 uy (.f32 (PI.f32) yi)) (/.f32 (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 yi (.f32 uy (/.f32 (PI.f32) (PI.f32))))) (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 yi (.f32 uy (/.f32 (PI.f32) (PI.f32)))))))
(/.f32 (.f32 uy (.f32 yi (PI.f32))) (/.f32 (.f32 yi (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 uy (/.f32 (PI.f32) (PI.f32))))) (.f32 yi (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 uy (/.f32 (PI.f32) (PI.f32)))))))
(/.f32 (.f32 (PI.f32) (.f32 uy yi)) (/.f32 (.f32 yi (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 uy (/.f32 (PI.f32) (PI.f32))))) (.f32 yi (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 uy (/.f32 (PI.f32) (PI.f32)))))))
(/.f32 (.f32 uy (.f32 (PI.f32) yi)) (/.f32 (.f32 uy (.f32 (PI.f32) (/.f32 yi yi))) (.f32 uy (.f32 (PI.f32) (/.f32 yi yi)))))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(/.f32 (.f32 uy (.f32 (PI.f32) yi)) (/.f32 (.f32 (PI.f32) (/.f32 (.f32 uy yi) (.f32 uy yi))) (.f32 (PI.f32) (/.f32 (.f32 uy yi) (.f32 uy yi)))))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(neg.f32 (.f32 (PI.f32) (.f32 uy (neg.f32 yi))))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(neg.f32 (.f32 yi (.f32 uy (neg.f32 (PI.f32)))))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(neg.f32 (.f32 1 (.f32 (PI.f32) (*.f32 uy (neg.f32 yi)))))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(neg.f32 (.f32 (/.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (*.f32 uy (neg.f32 yi)))))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(neg.f32 (.f32 (neg.f32 yi) (.f32 uy (PI.f32))))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(neg.f32 (.f32 -1 (.f32 uy (*.f32 (PI.f32) yi))))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(neg.f32 (.f32 (.f32 (/.f32 (PI.f32) (PI.f32)) (*.f32 uy (neg.f32 yi))) (PI.f32)))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))
(neg.f32 (.f32 (.f32 uy (neg.f32 (PI.f32))) yi))
(.f32 uy (.f32 yi (PI.f32)))
(.f32 (PI.f32) (.f32 uy yi))

eval801.0ms (3.7%)

Compiler: Compiled 70026 to 27443 computations (60.8% saved)

prune673.0ms (3.1%)

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	1268	15	1283
Fresh	7	6	13
Picked	1	0	1
Done	4	3	7
Total	1280	24	1304

Error

0.2b

Counts

1304 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	2.3b	(+.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 2 (.f32 yi (.f32 uy (PI.f32)))) (.f32 (pow.f32 uy 3) (.f32 yi (.f32 -4/3 (pow.f32 (PI.f32) 3)))))) (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) zi))
✓	3.5b	(+.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 yi (PI.f32)) (.f32 2 uy))) (.f32 (.f32 (*.f32 (-.f32 1 ux) maxCos) ux) zi))
	3.5b	(+.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 maxCos ux))))) xi) (.f32 (.f32 yi (PI.f32)) (.f32 2 uy))) (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) zi))
	3.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 ux (-.f32 maxCos (.f32 ux maxCos))))))) (+.f32 (.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (/.f32 1/2 (.f32 uy (PI.f32)))) (sin.f32 (.f32 2 (.f32 uy (PI.f32))))) yi) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 zi (.f32 ux maxCos))))
	2.1b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 ux (-.f32 maxCos (.f32 ux maxCos))))))) (+.f32 (.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (+.f32 (.f32 uy (.f32 1/3 (PI.f32))) (+.f32 (.f32 1/2 (/.f32 1 (.f32 uy (PI.f32)))) (.f32 -1 (.f32 (+.f32 (.f32 -2/9 (pow.f32 (PI.f32) 3)) (.f32 (pow.f32 (PI.f32) 3) 1/15)) (pow.f32 uy 3)))))) (sin.f32 (.f32 2 (.f32 uy (PI.f32))))) yi) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 zi (*.f32 ux maxCos))))
	3.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 ux (-.f32 maxCos (.f32 ux maxCos))))))) (+.f32 (.f32 2 (.f32 (PI.f32) (.f32 yi uy))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 zi (*.f32 ux maxCos))))
	1.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 maxCos ux))))) (+.f32 (+.f32 (.f32 yi (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 (pow.f32 uy 3)))) (+.f32 (.f32 yi (.f32 4/15 (.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5)))) (+.f32 (.f32 2 (.f32 (PI.f32) (.f32 yi uy))) (.f32 (.f32 yi (pow.f32 (PI.f32) 7)) (.f32 -8/315 (pow.f32 uy 7)))))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 zi (*.f32 ux maxCos))))
	2.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 maxCos ux))))) (+.f32 (+.f32 (.f32 2 (.f32 (PI.f32) (.f32 yi uy))) (.f32 yi (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 (pow.f32 uy 3))))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 zi (*.f32 ux maxCos))))
	2.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 maxCos ux))))) (+.f32 (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 (pow.f32 uy 3) (.f32 -4/3 (.f32 yi (pow.f32 (PI.f32) 3))))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 zi (*.f32 ux maxCos))))
	2.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 maxCos ux))))) (+.f32 (.f32 (+.f32 (.f32 uy (.f32 2 (PI.f32))) (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 (pow.f32 uy 3)))) yi) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 zi (.f32 ux maxCos))))
	0.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 maxCos ux))))) (+.f32 (.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (/.f32 1 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))))) (sin.f32 (.f32 2 (.f32 uy (PI.f32))))) yi) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 zi (.f32 ux maxCos))))
✓	0.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 maxCos ux))))) (+.f32 (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 zi (.f32 ux maxCos))))
	1.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 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 maxCos zi)))
	4.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 maxCos ux))))) (+.f32 (.f32 2 (.f32 (PI.f32) (.f32 yi uy))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 maxCos (*.f32 ux zi)))
	4.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 maxCos ux))))) (+.f32 (.f32 2 (.f32 yi (.f32 (PI.f32) uy))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 ux (*.f32 maxCos zi)))
	3.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 maxCos ux))))) (+.f32 (.f32 2 (.f32 yi (.f32 (PI.f32) uy))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 maxCos (.f32 ux (-.f32 zi (.f32 ux zi)))))
	3.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 maxCos ux))))) (+.f32 (.f32 2 (.f32 yi (.f32 (PI.f32) uy))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (neg.f32 (.f32 (.f32 ux (.f32 zi maxCos)) (+.f32 ux -1))))
	5.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 maxCos ux))))) (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 (+.f32 (.f32 (pow.f32 (PI.f32) 2) (.f32 -2 (pow.f32 uy 2))) (+.f32 (.f32 (pow.f32 uy 4) (.f32 2/3 (pow.f32 (PI.f32) 4))) (+.f32 1 (.f32 (pow.f32 (PI.f32) 6) (.f32 -4/45 (pow.f32 uy 6)))))) xi))) (.f32 maxCos (*.f32 ux zi)))
	6.2b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 maxCos ux))))) (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 (+.f32 1 (.f32 (pow.f32 (PI.f32) 2) (.f32 -2 (pow.f32 uy 2)))) xi))) (.f32 maxCos (*.f32 ux zi)))
	4.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 maxCos ux))))) (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 (.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) (/.f32 1 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))))) (cos.f32 (.f32 uy (.f32 2 (PI.f32))))) xi))) (.f32 maxCos (*.f32 ux zi)))
✓	3.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 maxCos ux))))) (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 ux (.f32 zi (+.f32 maxCos (.f32 ux (neg.f32 maxCos))))))
	6.7b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 maxCos ux))))) (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 1 xi))) (.f32 ux (.f32 zi (+.f32 maxCos (.f32 ux (neg.f32 maxCos))))))
	7.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 maxCos ux))))) (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 1 xi))) (.f32 maxCos (*.f32 ux zi)))
	3.4b	(+.f32 (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) uy))) (.f32 xi (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))))) (+.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) (.f32 zi ux)) (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (.f32 (-.f32 1 ux) maxCos)) (.f32 ux (.f32 (-.f32 1 ux) maxCos))))) (.f32 uy (.f32 (PI.f32) (*.f32 2 yi))))))

Compiler

Compiled 1337 to 908 computations (32.1% saved)

regimes294.0ms (1.4%)

Counts

53 → 1

Calls

Call 1

Inputs
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 maxCos ux))))) (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 1 xi))) (.f32 maxCos (*.f32 ux zi)))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 maxCos ux))))) (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 1 xi))) (.f32 ux (.f32 zi (+.f32 maxCos (.f32 ux (neg.f32 maxCos))))))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 maxCos ux))))) (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 maxCos (*.f32 ux zi)))
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(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 ux (-.f32 maxCos (.f32 ux maxCos))))))) (+.f32 (+.f32 (.f32 yi (.f32 (pow.f32 (PI.f32) 3) (.f32 -4/3 (pow.f32 uy 3)))) (+.f32 (.f32 yi (.f32 4/15 (.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5)))) (+.f32 (.f32 2 (.f32 (PI.f32) (.f32 yi uy))) (.f32 (.f32 yi (pow.f32 (PI.f32) 7)) (.f32 -8/315 (pow.f32 uy 7)))))) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 zi (.f32 ux maxCos))))
(+.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 (pow.f32 uy 5) (.f32 4/15 (.f32 yi (pow.f32 (PI.f32) 5)))) (+.f32 (.f32 -4/3 (.f32 yi (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3)))) (+.f32 (.f32 -8/315 (.f32 (pow.f32 uy 7) (.f32 yi (pow.f32 (PI.f32) 7)))) (.f32 2 (.f32 uy (.f32 yi (PI.f32)))))))) (.f32 (.f32 (.f32 (-.f32 1 ux) maxCos) ux) zi))
(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (-.f32 maxCos (.f32 ux maxCos)) (.f32 ux (-.f32 maxCos (.f32 ux maxCos))))))) (+.f32 (.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 uy (PI.f32)))) (+.f32 (.f32 uy (.f32 1/3 (PI.f32))) (+.f32 (.f32 1/2 (/.f32 1 (.f32 uy (PI.f32)))) (.f32 -1 (.f32 (+.f32 (.f32 -2/9 (pow.f32 (PI.f32) 3)) (.f32 (pow.f32 (PI.f32) 3) 1/15)) (pow.f32 uy 3)))))) (sin.f32 (.f32 2 (.f32 uy (PI.f32))))) yi) (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi))) (.f32 (-.f32 1 ux) (.f32 zi (*.f32 ux maxCos))))
(+.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 2 (.f32 (.f32 yi (.f32 uy (PI.f32))) (sqrt.f32 (-.f32 1 (.f32 (pow.f32 (-.f32 1 ux) 2) (.f32 (pow.f32 ux 2) (pow.f32 maxCos 2))))))) (.f32 -4/3 (.f32 (sqrt.f32 (-.f32 1 (.f32 (pow.f32 (-.f32 1 ux) 2) (.f32 (pow.f32 ux 2) (pow.f32 maxCos 2))))) (.f32 (pow.f32 uy 3) (.f32 yi (pow.f32 (PI.f32) 3))))))) (.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 ux (-.f32 maxCos (*.f32 maxCos ux))) zi))

Calls

10 calls:

24.0ms	(+.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))
24.0ms	(*.f32 uy 2)
23.0ms	zi
23.0ms	maxCos
23.0ms	uy

Results

Error	Segments	Branch
0.4b	1	`xi`
0.4b	1	`yi`
0.4b	1	`zi`
0.4b	1	`ux`
0.4b	1	`uy`
0.4b	1	`maxCos`
0.4b	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))`
0.4b	1	`(.f32 (.f32 uy 2) (PI.f32))`
0.4b	1	`(*.f32 uy 2)`
0.4b	1	`(.f32 (.f32 (-.f32 1 ux) maxCos) ux)`

Compiler

Compiled 2906 to 1535 computations (47.2% saved)

regimes168.0ms (0.8%)

Counts

33 → 1

Calls

Call 1

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

Outputs

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

Calls

9 calls:

17.0ms	maxCos
15.0ms	zi
15.0ms	(*.f32 uy 2)
15.0ms	(.f32 (.f32 (-.f32 1 ux) maxCos) ux)
15.0ms	uy

Results

Error	Segments	Branch
0.4b	1	`xi`
0.4b	1	`yi`
0.4b	1	`zi`
0.4b	1	`ux`
0.4b	1	`uy`
0.4b	1	`maxCos`
0.4b	1	`(.f32 (.f32 uy 2) (PI.f32))`
0.4b	1	`(*.f32 uy 2)`
0.4b	1	`(.f32 (.f32 (-.f32 1 ux) maxCos) ux)`

Compiler

Compiled 1546 to 787 computations (49.1% saved)

regimes131.0ms (0.6%)

Counts

32 → 1

Calls

Call 1

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

Outputs

(+.f32 (*.f32 (sqrt.f32 (-.f32 1 (*.f32 ux (*.f32 (-.f32 maxCos (*.f32 ux maxCos)) (*.f32 ux (-.f32 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 (-.f32 1 ux) (*.f32 zi (*.f32 ux maxCos))))

Calls

7 calls:

15.0ms	maxCos
15.0ms	(.f32 (.f32 (-.f32 1 ux) maxCos) ux)
14.0ms	yi
14.0ms	zi
14.0ms	ux

Results

Error	Segments	Branch
0.4b	1	`xi`
0.4b	1	`yi`
0.4b	1	`zi`
0.4b	1	`ux`
0.4b	1	`uy`
0.4b	1	`maxCos`
0.4b	1	`(.f32 (.f32 (-.f32 1 ux) maxCos) ux)`

Compiler

Compiled 1461 to 727 computations (50.2% saved)

regimes101.0ms (0.5%)

Counts

24 → 1

Calls

Call 1

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

Outputs

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

Calls

7 calls:

12.0ms	(.f32 (.f32 (-.f32 1 ux) maxCos) ux)
12.0ms	ux
12.0ms	yi
12.0ms	xi
12.0ms	uy

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`
0.5b	1	`(.f32 (.f32 (-.f32 1 ux) maxCos) ux)`

Compiler

Compiled 1037 to 479 computations (53.8% saved)

regimes93.0ms (0.4%)

Counts

22 → 1

Calls

Call 1

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

Outputs

(+.f32 (*.f32 (sqrt.f32 (-.f32 1 (*.f32 ux (*.f32 (-.f32 maxCos (*.f32 ux maxCos)) (*.f32 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 maxCos zi)))

Calls

7 calls:

11.0ms	maxCos
11.0ms	zi
11.0ms	yi
11.0ms	uy
11.0ms	(.f32 (.f32 (-.f32 1 ux) maxCos) ux)

Results

Error	Segments	Branch
1.4b	1	`xi`
1.4b	1	`yi`
1.4b	1	`zi`
1.4b	1	`ux`
1.4b	1	`uy`
1.4b	1	`maxCos`
1.4b	1	`(.f32 (.f32 (-.f32 1 ux) maxCos) ux)`

Compiler

Compiled 951 to 439 computations (53.8% saved)

regimes86.0ms (0.4%)

Counts

20 → 1

Calls

Call 1

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

Outputs

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

Calls

7 calls:

10.0ms	(.f32 (.f32 (-.f32 1 ux) maxCos) ux)
10.0ms	yi
10.0ms	uy
10.0ms	ux
10.0ms	zi

Results

Error	Segments	Branch
3.4b	1	`xi`
3.4b	1	`yi`
3.4b	1	`zi`
3.4b	1	`ux`
3.4b	1	`uy`
3.4b	1	`maxCos`
3.4b	1	`(.f32 (.f32 (-.f32 1 ux) maxCos) ux)`

Compiler

Compiled 871 to 405 computations (53.5% saved)

regimes67.0ms (0.3%)

Counts

17 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

9.0ms	yi
9.0ms	maxCos
9.0ms	ux
9.0ms	zi
8.0ms	xi

Results

Error	Segments	Branch
3.4b	1	`xi`
3.4b	1	`yi`
3.4b	1	`zi`
3.4b	1	`ux`
3.4b	1	`uy`
3.4b	1	`maxCos`

Compiler

Compiled 723 to 322 computations (55.5% saved)

regimes63.0ms (0.3%)

Counts

16 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

9.0ms	xi
9.0ms	zi
9.0ms	uy
8.0ms	yi
8.0ms	ux

Results

Error	Segments	Branch
3.5b	1	`xi`
3.5b	1	`yi`
3.5b	1	`zi`
3.5b	1	`ux`
3.5b	1	`uy`
3.5b	1	`maxCos`

Compiler

Compiled 678 to 303 computations (55.3% saved)

regimes42.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

6.0ms	maxCos
6.0ms	zi
6.0ms	xi
6.0ms	yi
6.0ms	uy

Results

Error	Segments	Branch
3.5b	1	`xi`
3.5b	1	`yi`
3.5b	1	`zi`
3.5b	1	`ux`
3.5b	1	`uy`
3.5b	1	`maxCos`

Compiler

Compiled 388 to 184 computations (52.6% saved)

regimes34.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

5.0ms	zi
5.0ms	xi
5.0ms	yi
5.0ms	maxCos
5.0ms	ux

Results

Error	Segments	Branch
4.4b	1	`xi`
4.4b	1	`yi`
4.4b	1	`zi`
4.4b	1	`ux`
4.4b	1	`uy`
4.4b	1	`maxCos`

Compiler

Compiled 265 to 135 computations (49.1% saved)

regimes28.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

4.0ms	maxCos
4.0ms	xi
4.0ms	yi
4.0ms	zi
4.0ms	uy

Results

Error	Segments	Branch
4.4b	1	`xi`
4.4b	1	`yi`
4.4b	1	`zi`
4.4b	1	`ux`
4.4b	1	`uy`
4.4b	1	`maxCos`

Compiler

Compiled 191 to 105 computations (45% saved)

regimes24.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Outputs

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

Calls

6 calls:

4.0ms	zi
3.0ms	yi
3.0ms	ux
3.0ms	xi
3.0ms	maxCos

Results

Error	Segments	Branch
4.4b	1	`xi`
4.4b	1	`yi`
4.4b	1	`zi`
4.4b	1	`ux`
4.4b	1	`uy`
4.4b	1	`maxCos`

Compiler

Compiled 154 to 90 computations (41.6% saved)

regimes21.0ms (0.1%)

Accuracy

Total -0.8b remaining (-12.2%)

Threshold costs -0.8b (-12.2%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Outputs

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

Calls

6 calls:

4.0ms	uy
3.0ms	ux
3.0ms	maxCos
3.0ms	xi
3.0ms	yi

Results

Error	Segments	Branch
6.7b	1	`xi`
6.7b	1	`yi`
6.7b	1	`zi`
6.7b	1	`ux`
6.7b	1	`uy`
6.7b	1	`maxCos`

Compiler

Compiled 117 to 77 computations (34.2% saved)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	1882

Stop Event

1×	fuel
1×	saturated

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

Compiler

Compiled 692 to 459 computations (33.7% saved)

soundness86.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1190×	`rational_best_oopsla_all_46_json_45_simplify-89`
1066×	`rational_best_oopsla_all_46_json_45_simplify-49`
988×	`rational_best_oopsla_all_46_json_45_simplify-24`
964×	`rational_best_oopsla_all_46_json_45_simplify-7`
934×	`rational_best_oopsla_all_46_json_45_simplify-23`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	308	10944
1	1183	10730
2	4856	10634

Stop Event

1×	node limit

Compiler

Compiled 203 to 132 computations (35% saved)

end170.0ms (0.8%)

Compiler: Compiled 614 to 289 computations (52.9% saved)