Details

analyze2.0ms (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)

sample7.6s (25.2%)

Results

7.6s

8256×

body

256

valid

Bogosity

preprocess352.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

1944×	`rational.json-simplify-64`
1284×	`rational.json-simplify-54`
940×	`rational.json-simplify-45`
904×	`rational.json-simplify-1`
736×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	194	3216
1	394	3216
2	855	3216
3	1727	2288
4	2609	2288
5	3323	2288
6	5054	2288
7	7097	2288
0	6	6

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4
5

Outputs
0
1
2
3
4
5

Call 2

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

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

Compiler

Compiled 77 to 56 computations (27.3% saved)

simplify151.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1680×	`trig.json-simplify-41`
898×	`rational.json-simplify-2`
832×	`rational.json-simplify-64`
796×	`rational.json-simplify-44`
468×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	201
1	51	201
2	101	201
3	197	143
4	433	143
5	1013	143
6	1644	143
7	2676	143
8	4647	143

Stop Event

1×	node limit

Counts

1 → 9

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

eval13.0ms (0%)

Compiler: Compiled 496 to 320 computations (35.5% saved)

prune9.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	6	3	9
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	7	3	10

Error

0.2b

Counts

10 → 3

Alt Table

Click to see full alt table

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

Status

Error

Program

▶

0.3b

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

▶

0.3b

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

▶

0.3b

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

Compiler

Compiled 156 to 111 computations (28.8% saved)

localize511.0ms (1.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (*.f32 maxCos maxCos)))
✓	0.2b	(cos.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 256 to 150 computations (41.4% saved)

series14.0ms (0%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	yi	@	0	(.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) yi)
1.0ms	uy	@	0	(.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) yi)
1.0ms	maxCos	@	0	(.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (*.f32 maxCos maxCos)))
1.0ms	uy	@	inf	(.f32 uy (.f32 2 (PI.f32)))
1.0ms	uy	@	0	(.f32 uy (.f32 2 (PI.f32)))

rewrite120.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1268×	`rational.json-5`
1266×	`exponential.json-3`
1266×	`rational.json-1`
1266×	`rational.json-2`
1266×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	90
1	177	90
2	588	90
3	2409	90

Stop Event

1×	node limit

Counts

4 → 94

Calls

Call 1

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

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

simplify213.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

814×	`rational.json-simplify-41`
772×	`rational.json-simplify-54`
754×	`rational.json-simplify-46`
688×	`rational.json-simplify-1`
682×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	277	4398
1	624	4306
2	1462	4300
3	4328	4276

Stop Event

1×	node limit

Counts

166 → 155

Calls

Call 1

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

Outputs
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 (PI.f32) 2))
(.f32 (PI.f32) (.f32 uy 2))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 (PI.f32) 2))
(.f32 (PI.f32) (.f32 uy 2))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 (PI.f32) 2))
(.f32 (PI.f32) (.f32 uy 2))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 (PI.f32) 2))
(.f32 (PI.f32) (.f32 uy 2))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 (PI.f32) 2))
(.f32 (PI.f32) (.f32 uy 2))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 (PI.f32) 2))
(.f32 (PI.f32) (.f32 uy 2))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 (PI.f32) 2))
(.f32 (PI.f32) (.f32 uy 2))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 (PI.f32) 2))
(.f32 (PI.f32) (.f32 uy 2))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 (PI.f32) 2))
(.f32 (PI.f32) (.f32 uy 2))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 (PI.f32) 2))
(.f32 (PI.f32) (.f32 uy 2))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 (PI.f32) 2))
(.f32 (PI.f32) (.f32 uy 2))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 uy (.f32 (PI.f32) 2))
(.f32 (PI.f32) (.f32 uy 2))
(.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 2 (.f32 (PI.f32) (*.f32 uy yi)))
(+.f32 (.f32 -4/3 (.f32 (pow.f32 uy 3) (.f32 yi (pow.f32 (PI.f32) 3)))) (.f32 2 (.f32 uy (.f32 yi (PI.f32)))))
(+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 -4/3 (.f32 yi (.f32 (pow.f32 (PI.f32) 3) (pow.f32 uy 3)))))
(+.f32 (.f32 2 (.f32 (PI.f32) (.f32 yi uy))) (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3)))
(+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 yi (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3))))
(.f32 yi (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (.f32 2 (*.f32 uy (PI.f32)))))
(+.f32 (.f32 4/15 (.f32 (pow.f32 uy 5) (.f32 yi (pow.f32 (PI.f32) 5)))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 uy 3) (.f32 yi (pow.f32 (PI.f32) 3)))) (.f32 2 (.f32 uy (*.f32 yi (PI.f32))))))
(+.f32 (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 -4/3 (.f32 yi (.f32 (pow.f32 (PI.f32) 3) (pow.f32 uy 3))))) (.f32 4/15 (.f32 (pow.f32 uy 5) (*.f32 yi (pow.f32 (PI.f32) 5)))))
(+.f32 (.f32 2 (.f32 (PI.f32) (.f32 yi uy))) (+.f32 (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 5) 4/15)) (.f32 yi (.f32 (pow.f32 (*.f32 uy (PI.f32)) 3) -4/3))))
(+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (+.f32 (.f32 yi (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3))) (.f32 4/15 (.f32 yi (pow.f32 (*.f32 uy (PI.f32)) 5)))))
(+.f32 (.f32 yi (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (.f32 2 (.f32 uy (PI.f32))))) (.f32 (pow.f32 (.f32 uy (PI.f32)) 5) (.f32 4/15 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 (PI.f32) 3) (pow.f32 uy 3)))) (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 -8/315 (.f32 yi (.f32 (pow.f32 (PI.f32) 7) (pow.f32 uy 7)))))))
(+.f32 (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 5) 4/15)) (+.f32 (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3)) (+.f32 (.f32 2 (.f32 (PI.f32) (.f32 yi uy))) (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 7) -8/315)))))
(+.f32 (.f32 4/15 (.f32 yi (pow.f32 (.f32 uy (PI.f32)) 5))) (+.f32 (.f32 yi (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3))) (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 yi (.f32 -8/315 (pow.f32 (.f32 uy (PI.f32)) 7))))))
(+.f32 (.f32 yi (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (.f32 2 (.f32 uy (PI.f32))))) (.f32 yi (+.f32 (.f32 -8/315 (pow.f32 (.f32 uy (PI.f32)) 7)) (.f32 4/15 (pow.f32 (.f32 uy (PI.f32)) 5)))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 uy (*.f32 (PI.f32) 2))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 uy 2))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 uy (*.f32 (PI.f32) 2))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 uy 2))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 uy (*.f32 (PI.f32) 2))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 uy 2))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 uy (*.f32 (PI.f32) 2))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 uy 2))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 uy (*.f32 (PI.f32) 2))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 uy 2))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 uy (*.f32 (PI.f32) 2))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 uy 2))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 uy (*.f32 (PI.f32) 2))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 uy 2))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 uy (*.f32 (PI.f32) 2))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 uy 2))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 uy (*.f32 (PI.f32) 2))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 uy 2))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 uy (*.f32 (PI.f32) 2))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 uy 2))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 uy (*.f32 (PI.f32) 2))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 uy 2))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 uy (*.f32 (PI.f32) 2))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 uy 2))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 uy (*.f32 (PI.f32) 2))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 uy 2))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 uy (*.f32 (PI.f32) 2))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 uy 2))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 uy (*.f32 (PI.f32) 2))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 uy 2))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 uy (*.f32 (PI.f32) 2))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 uy 2))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 uy (*.f32 (PI.f32) 2))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 uy 2))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 uy (*.f32 (PI.f32) 2))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 uy 2))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 uy (*.f32 (PI.f32) 2))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 uy 2))))
(.f32 yi (sin.f32 (.f32 2 (*.f32 uy (PI.f32)))))
(.f32 yi (sin.f32 (.f32 uy (*.f32 (PI.f32) 2))))
(.f32 yi (sin.f32 (.f32 (PI.f32) (*.f32 uy 2))))
1
(+.f32 1 (.f32 -2 (.f32 (pow.f32 uy 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (.f32 -2 (pow.f32 (.f32 uy (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 1 (+.f32 (.f32 -2 (pow.f32 (.f32 uy (PI.f32)) 2)) (.f32 2/3 (pow.f32 (.f32 uy (PI.f32)) 4))))
(+.f32 (.f32 -2 (pow.f32 (.f32 uy (PI.f32)) 2)) (+.f32 1 (.f32 2/3 (pow.f32 (.f32 uy (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 (+.f32 1 (+.f32 (.f32 -2 (pow.f32 (.f32 uy (PI.f32)) 2)) (.f32 2/3 (pow.f32 (.f32 uy (PI.f32)) 4)))) (.f32 -4/45 (pow.f32 (.f32 uy (PI.f32)) 6)))
(+.f32 1 (+.f32 (+.f32 (.f32 -2 (pow.f32 (.f32 uy (PI.f32)) 2)) (.f32 2/3 (pow.f32 (.f32 uy (PI.f32)) 4))) (.f32 -4/45 (pow.f32 (.f32 uy (PI.f32)) 6))))
(+.f32 1 (+.f32 (.f32 2/3 (pow.f32 (.f32 uy (PI.f32)) 4)) (+.f32 (.f32 -2 (pow.f32 (.f32 uy (PI.f32)) 2)) (.f32 -4/45 (pow.f32 (.f32 uy (PI.f32)) 6)))))
(cos.f32 (.f32 2 (.f32 uy (PI.f32))))
(cos.f32 (.f32 uy (.f32 (PI.f32) 2)))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(cos.f32 (.f32 2 (.f32 uy (PI.f32))))
(cos.f32 (.f32 uy (.f32 (PI.f32) 2)))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(cos.f32 (.f32 2 (.f32 uy (PI.f32))))
(cos.f32 (.f32 uy (.f32 (PI.f32) 2)))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(cos.f32 (.f32 2 (.f32 uy (PI.f32))))
(cos.f32 (.f32 uy (.f32 (PI.f32) 2)))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(cos.f32 (.f32 2 (.f32 uy (PI.f32))))
(cos.f32 (.f32 uy (.f32 (PI.f32) 2)))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(cos.f32 (.f32 2 (.f32 uy (PI.f32))))
(cos.f32 (.f32 uy (.f32 (PI.f32) 2)))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(cos.f32 (.f32 2 (.f32 uy (PI.f32))))
(cos.f32 (.f32 uy (.f32 (PI.f32) 2)))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(cos.f32 (.f32 2 (.f32 uy (PI.f32))))
(cos.f32 (.f32 uy (.f32 (PI.f32) 2)))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(pow.f32 maxCos 2)
(+.f32 (pow.f32 maxCos 2) (.f32 -2 (.f32 (pow.f32 maxCos 2) ux)))
(+.f32 (pow.f32 maxCos 2) (+.f32 (.f32 -2 (.f32 (pow.f32 maxCos 2) ux)) (*.f32 (pow.f32 maxCos 2) (pow.f32 ux 2))))
(+.f32 (pow.f32 maxCos 2) (+.f32 (.f32 -2 (.f32 (pow.f32 maxCos 2) ux)) (pow.f32 (*.f32 maxCos ux) 2)))
(+.f32 (pow.f32 maxCos 2) (.f32 (pow.f32 maxCos 2) (+.f32 (pow.f32 ux 2) (.f32 -2 ux))))
(+.f32 (pow.f32 maxCos 2) (+.f32 (.f32 -2 (.f32 (pow.f32 maxCos 2) ux)) (*.f32 (pow.f32 maxCos 2) (pow.f32 ux 2))))
(+.f32 (pow.f32 maxCos 2) (+.f32 (.f32 -2 (.f32 (pow.f32 maxCos 2) ux)) (pow.f32 (*.f32 maxCos ux) 2)))
(+.f32 (pow.f32 maxCos 2) (.f32 (pow.f32 maxCos 2) (+.f32 (pow.f32 ux 2) (.f32 -2 ux))))
(*.f32 (pow.f32 maxCos 2) (pow.f32 ux 2))
(pow.f32 (*.f32 maxCos ux) 2)
(+.f32 (.f32 -2 (.f32 (pow.f32 maxCos 2) ux)) (*.f32 (pow.f32 maxCos 2) (pow.f32 ux 2)))
(+.f32 (.f32 -2 (.f32 (pow.f32 maxCos 2) ux)) (pow.f32 (*.f32 maxCos ux) 2))
(.f32 (pow.f32 maxCos 2) (+.f32 (pow.f32 ux 2) (.f32 -2 ux)))
(+.f32 (pow.f32 maxCos 2) (+.f32 (.f32 -2 (.f32 (pow.f32 maxCos 2) ux)) (*.f32 (pow.f32 maxCos 2) (pow.f32 ux 2))))
(+.f32 (pow.f32 maxCos 2) (+.f32 (.f32 -2 (.f32 (pow.f32 maxCos 2) ux)) (pow.f32 (*.f32 maxCos ux) 2)))
(+.f32 (pow.f32 maxCos 2) (.f32 (pow.f32 maxCos 2) (+.f32 (pow.f32 ux 2) (.f32 -2 ux))))
(+.f32 (pow.f32 maxCos 2) (+.f32 (.f32 -2 (.f32 (pow.f32 maxCos 2) ux)) (*.f32 (pow.f32 maxCos 2) (pow.f32 ux 2))))
(+.f32 (pow.f32 maxCos 2) (+.f32 (.f32 -2 (.f32 (pow.f32 maxCos 2) ux)) (pow.f32 (*.f32 maxCos ux) 2)))
(+.f32 (pow.f32 maxCos 2) (.f32 (pow.f32 maxCos 2) (+.f32 (pow.f32 ux 2) (.f32 -2 ux))))
(*.f32 (pow.f32 maxCos 2) (pow.f32 ux 2))
(pow.f32 (*.f32 maxCos ux) 2)
(+.f32 (.f32 -2 (.f32 (pow.f32 maxCos 2) ux)) (*.f32 (pow.f32 maxCos 2) (pow.f32 ux 2)))
(+.f32 (.f32 -2 (.f32 (pow.f32 maxCos 2) ux)) (pow.f32 (*.f32 maxCos ux) 2))
(.f32 (pow.f32 maxCos 2) (+.f32 (pow.f32 ux 2) (.f32 -2 ux)))
(+.f32 (pow.f32 maxCos 2) (+.f32 (.f32 -2 (.f32 (pow.f32 maxCos 2) ux)) (*.f32 (pow.f32 maxCos 2) (pow.f32 ux 2))))
(+.f32 (pow.f32 maxCos 2) (+.f32 (.f32 -2 (.f32 (pow.f32 maxCos 2) ux)) (pow.f32 (*.f32 maxCos ux) 2)))
(+.f32 (pow.f32 maxCos 2) (.f32 (pow.f32 maxCos 2) (+.f32 (pow.f32 ux 2) (.f32 -2 ux))))
(+.f32 (pow.f32 maxCos 2) (+.f32 (.f32 -2 (.f32 (pow.f32 maxCos 2) ux)) (*.f32 (pow.f32 maxCos 2) (pow.f32 ux 2))))
(+.f32 (pow.f32 maxCos 2) (+.f32 (.f32 -2 (.f32 (pow.f32 maxCos 2) ux)) (pow.f32 (*.f32 maxCos ux) 2)))
(+.f32 (pow.f32 maxCos 2) (.f32 (pow.f32 maxCos 2) (+.f32 (pow.f32 ux 2) (.f32 -2 ux))))
(*.f32 (pow.f32 (-.f32 1 ux) 2) (pow.f32 maxCos 2))
(pow.f32 (*.f32 maxCos (-.f32 1 ux)) 2)
(*.f32 (pow.f32 (-.f32 1 ux) 2) (pow.f32 maxCos 2))
(pow.f32 (*.f32 maxCos (-.f32 1 ux)) 2)
(*.f32 (pow.f32 (-.f32 1 ux) 2) (pow.f32 maxCos 2))
(pow.f32 (*.f32 maxCos (-.f32 1 ux)) 2)
(*.f32 (pow.f32 (-.f32 1 ux) 2) (pow.f32 maxCos 2))
(pow.f32 (*.f32 maxCos (-.f32 1 ux)) 2)
(*.f32 (pow.f32 (-.f32 1 ux) 2) (pow.f32 maxCos 2))
(pow.f32 (*.f32 maxCos (-.f32 1 ux)) 2)
(*.f32 (pow.f32 (-.f32 1 ux) 2) (pow.f32 maxCos 2))
(pow.f32 (*.f32 maxCos (-.f32 1 ux)) 2)
(*.f32 (pow.f32 (-.f32 1 ux) 2) (pow.f32 maxCos 2))
(pow.f32 (*.f32 maxCos (-.f32 1 ux)) 2)
(*.f32 (pow.f32 (-.f32 1 ux) 2) (pow.f32 maxCos 2))
(pow.f32 (*.f32 maxCos (-.f32 1 ux)) 2)
(*.f32 (pow.f32 (-.f32 1 ux) 2) (pow.f32 maxCos 2))
(pow.f32 (*.f32 maxCos (-.f32 1 ux)) 2)
(*.f32 (pow.f32 (-.f32 1 ux) 2) (pow.f32 maxCos 2))
(pow.f32 (*.f32 maxCos (-.f32 1 ux)) 2)
(*.f32 (pow.f32 (-.f32 1 ux) 2) (pow.f32 maxCos 2))
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(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 maxCos (-.f32 1 ux))))
(.f32 maxCos (.f32 maxCos (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 maxCos (-.f32 1 ux))))
(fabs.f32 (.f32 (.f32 (-.f32 1 ux) (*.f32 maxCos maxCos)) (/.f32 (-.f32 1 ux) (fabs.f32 (/.f32 (-.f32 1 ux) (-.f32 1 ux))))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 maxCos (-.f32 1 ux))))
(.f32 maxCos (.f32 maxCos (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 maxCos (-.f32 1 ux))))
(fabs.f32 (.f32 (neg.f32 (.f32 (-.f32 1 ux) (*.f32 maxCos maxCos))) (-.f32 1 ux)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 maxCos (-.f32 1 ux))))
(.f32 maxCos (.f32 maxCos (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 maxCos (-.f32 1 ux))))
(fabs.f32 (.f32 (neg.f32 (.f32 (-.f32 1 ux) (*.f32 maxCos maxCos))) (+.f32 ux -1)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 maxCos (-.f32 1 ux))))
(.f32 maxCos (.f32 maxCos (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 maxCos (-.f32 1 ux))))
(fabs.f32 (.f32 (neg.f32 (.f32 (-.f32 1 ux) (*.f32 maxCos maxCos))) (fabs.f32 (-.f32 1 ux))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 maxCos (-.f32 1 ux))))
(.f32 maxCos (.f32 maxCos (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 maxCos (-.f32 1 ux))))
(fabs.f32 (.f32 (neg.f32 (.f32 (-.f32 1 ux) (*.f32 maxCos maxCos))) (/.f32 (-.f32 1 ux) (fabs.f32 (/.f32 (-.f32 1 ux) (-.f32 1 ux))))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 maxCos (-.f32 1 ux))))
(.f32 maxCos (.f32 maxCos (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 maxCos (-.f32 1 ux))))
(fabs.f32 (.f32 (.f32 (*.f32 maxCos maxCos) (fabs.f32 (-.f32 1 ux))) (-.f32 1 ux)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 maxCos (-.f32 1 ux))))
(.f32 maxCos (.f32 maxCos (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 maxCos (-.f32 1 ux))))
(fabs.f32 (.f32 (.f32 (*.f32 maxCos maxCos) (fabs.f32 (-.f32 1 ux))) (+.f32 ux -1)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 maxCos (-.f32 1 ux))))
(.f32 maxCos (.f32 maxCos (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 maxCos (-.f32 1 ux))))
(fabs.f32 (.f32 (.f32 (*.f32 maxCos maxCos) (fabs.f32 (-.f32 1 ux))) (/.f32 (-.f32 1 ux) (fabs.f32 (/.f32 (-.f32 1 ux) (-.f32 1 ux))))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 maxCos (-.f32 1 ux))))
(.f32 maxCos (.f32 maxCos (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 maxCos (-.f32 1 ux))))
(fabs.f32 (.f32 (/.f32 (.f32 (-.f32 1 ux) (.f32 maxCos maxCos)) (fabs.f32 (/.f32 (.f32 (-.f32 1 ux) (.f32 maxCos maxCos)) (.f32 (-.f32 1 ux) (*.f32 maxCos maxCos))))) (-.f32 1 ux)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 maxCos (-.f32 1 ux))))
(.f32 maxCos (.f32 maxCos (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 maxCos (-.f32 1 ux))))
(fabs.f32 (.f32 (/.f32 (.f32 (-.f32 1 ux) (.f32 maxCos maxCos)) (fabs.f32 (/.f32 (.f32 (-.f32 1 ux) (.f32 maxCos maxCos)) (.f32 (-.f32 1 ux) (*.f32 maxCos maxCos))))) (+.f32 ux -1)))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 maxCos (-.f32 1 ux))))
(.f32 maxCos (.f32 maxCos (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 maxCos (-.f32 1 ux))))
(fabs.f32 (.f32 (/.f32 (.f32 (-.f32 1 ux) (.f32 maxCos maxCos)) (fabs.f32 (/.f32 (.f32 (-.f32 1 ux) (.f32 maxCos maxCos)) (.f32 (-.f32 1 ux) (*.f32 maxCos maxCos))))) (fabs.f32 (-.f32 1 ux))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 maxCos (-.f32 1 ux))))
(.f32 maxCos (.f32 maxCos (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 maxCos (-.f32 1 ux))))
(fabs.f32 (.f32 (/.f32 (.f32 (-.f32 1 ux) (.f32 maxCos maxCos)) (fabs.f32 (/.f32 (.f32 (-.f32 1 ux) (.f32 maxCos maxCos)) (.f32 (-.f32 1 ux) (*.f32 maxCos maxCos))))) (/.f32 (-.f32 1 ux) (fabs.f32 (/.f32 (-.f32 1 ux) (-.f32 1 ux))))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 maxCos (-.f32 1 ux))))
(.f32 maxCos (.f32 maxCos (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 maxCos (-.f32 1 ux))))
(fabs.f32 (.f32 (-.f32 1 ux) (neg.f32 (.f32 (-.f32 1 ux) (*.f32 maxCos maxCos)))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 maxCos (-.f32 1 ux))))
(.f32 maxCos (.f32 maxCos (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 maxCos (-.f32 1 ux))))
(fabs.f32 (.f32 (-.f32 1 ux) (.f32 (*.f32 maxCos maxCos) (fabs.f32 (-.f32 1 ux)))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 maxCos (-.f32 1 ux))))
(.f32 maxCos (.f32 maxCos (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 maxCos (-.f32 1 ux))))
(fabs.f32 (.f32 (-.f32 1 ux) (/.f32 (.f32 (-.f32 1 ux) (.f32 maxCos maxCos)) (fabs.f32 (/.f32 (.f32 (-.f32 1 ux) (.f32 maxCos maxCos)) (.f32 (-.f32 1 ux) (*.f32 maxCos maxCos)))))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 maxCos (-.f32 1 ux))))
(.f32 maxCos (.f32 maxCos (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 maxCos (-.f32 1 ux))))
(fabs.f32 (.f32 (+.f32 ux -1) (.f32 (-.f32 1 ux) (*.f32 maxCos maxCos))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 maxCos (-.f32 1 ux))))
(.f32 maxCos (.f32 maxCos (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 maxCos (-.f32 1 ux))))
(fabs.f32 (.f32 (+.f32 ux -1) (neg.f32 (.f32 (-.f32 1 ux) (*.f32 maxCos maxCos)))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 maxCos (-.f32 1 ux))))
(.f32 maxCos (.f32 maxCos (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 maxCos (-.f32 1 ux))))
(fabs.f32 (.f32 (+.f32 ux -1) (.f32 (*.f32 maxCos maxCos) (fabs.f32 (-.f32 1 ux)))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 maxCos (-.f32 1 ux))))
(.f32 maxCos (.f32 maxCos (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 maxCos (-.f32 1 ux))))
(fabs.f32 (.f32 (+.f32 ux -1) (/.f32 (.f32 (-.f32 1 ux) (.f32 maxCos maxCos)) (fabs.f32 (/.f32 (.f32 (-.f32 1 ux) (.f32 maxCos maxCos)) (.f32 (-.f32 1 ux) (*.f32 maxCos maxCos)))))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 maxCos (-.f32 1 ux))))
(.f32 maxCos (.f32 maxCos (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 maxCos (-.f32 1 ux))))
(fabs.f32 (.f32 (fabs.f32 (-.f32 1 ux)) (.f32 (-.f32 1 ux) (*.f32 maxCos maxCos))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 maxCos (-.f32 1 ux))))
(.f32 maxCos (.f32 maxCos (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 maxCos (-.f32 1 ux))))
(fabs.f32 (.f32 (fabs.f32 (-.f32 1 ux)) (neg.f32 (.f32 (-.f32 1 ux) (*.f32 maxCos maxCos)))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 maxCos (-.f32 1 ux))))
(.f32 maxCos (.f32 maxCos (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 maxCos (-.f32 1 ux))))
(fabs.f32 (.f32 (fabs.f32 (-.f32 1 ux)) (/.f32 (.f32 (-.f32 1 ux) (.f32 maxCos maxCos)) (fabs.f32 (/.f32 (.f32 (-.f32 1 ux) (.f32 maxCos maxCos)) (.f32 (-.f32 1 ux) (*.f32 maxCos maxCos)))))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 maxCos (-.f32 1 ux))))
(.f32 maxCos (.f32 maxCos (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 maxCos (-.f32 1 ux))))
(fabs.f32 (.f32 (/.f32 (-.f32 1 ux) (fabs.f32 (/.f32 (-.f32 1 ux) (-.f32 1 ux)))) (.f32 (-.f32 1 ux) (*.f32 maxCos maxCos))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 maxCos (-.f32 1 ux))))
(.f32 maxCos (.f32 maxCos (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 maxCos (-.f32 1 ux))))
(fabs.f32 (.f32 (/.f32 (-.f32 1 ux) (fabs.f32 (/.f32 (-.f32 1 ux) (-.f32 1 ux)))) (neg.f32 (.f32 (-.f32 1 ux) (*.f32 maxCos maxCos)))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 maxCos (-.f32 1 ux))))
(.f32 maxCos (.f32 maxCos (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 maxCos (-.f32 1 ux))))
(fabs.f32 (.f32 (/.f32 (-.f32 1 ux) (fabs.f32 (/.f32 (-.f32 1 ux) (-.f32 1 ux)))) (.f32 (*.f32 maxCos maxCos) (fabs.f32 (-.f32 1 ux)))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 maxCos (-.f32 1 ux))))
(.f32 maxCos (.f32 maxCos (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 maxCos (-.f32 1 ux))))
(fabs.f32 (.f32 (/.f32 (-.f32 1 ux) (fabs.f32 (/.f32 (-.f32 1 ux) (-.f32 1 ux)))) (/.f32 (.f32 (-.f32 1 ux) (.f32 maxCos maxCos)) (fabs.f32 (/.f32 (.f32 (-.f32 1 ux) (.f32 maxCos maxCos)) (.f32 (-.f32 1 ux) (*.f32 maxCos maxCos)))))))
(.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 maxCos (-.f32 1 ux))))
(.f32 maxCos (.f32 maxCos (*.f32 (-.f32 1 ux) (-.f32 1 ux))))
(.f32 maxCos (.f32 (-.f32 1 ux) (*.f32 maxCos (-.f32 1 ux))))

localize605.0ms (2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (-.f32 1 ux) (.f32 maxCos maxCos))
	0.2b	(cos.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 248 to 143 computations (42.3% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	ux	@	0	(.f32 (-.f32 1 ux) (.f32 maxCos maxCos))
1.0ms	maxCos	@	inf	(.f32 (-.f32 1 ux) (.f32 maxCos maxCos))
1.0ms	ux	@	inf	(.f32 (-.f32 1 ux) (.f32 maxCos maxCos))
0.0ms	maxCos	@	0	(.f32 (-.f32 1 ux) (.f32 maxCos maxCos))
0.0ms	ux	@	-inf	(.f32 (-.f32 1 ux) (.f32 maxCos maxCos))

rewrite121.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1842×	`rational.json-5`
1840×	`exponential.json-3`
1840×	`rational.json-1`
1840×	`rational.json-2`
1840×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	70	19
2	232	19
3	853	19
4	3561	19

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

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

Outputs

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

simplify207.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1448×	`rational.json-simplify-79`
948×	`rational.json-simplify-80`
856×	`rational.json-simplify-2`
812×	`rational.json-simplify-76`
786×	`rational.json-simplify-111`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	666
1	43	644
2	110	644
3	334	644
4	1373	644
5	3188	644
6	4789	644
7	6301	644

Stop Event

1×	node limit

Counts

30 → 16

Calls

Call 1

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

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

localize333.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(sin.f32 (.f32 uy (.f32 2 (PI.f32))))
	0.2b	(cos.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 237 to 137 computations (42.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite130.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

946×	`rational.json-simplify-54`
842×	`rational.json-simplify-47`
662×	`rational.json-simplify-58`
590×	`rational.json-simplify-50`
542×	`rational.json-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	87	19
2	298	19
3	1157	19
4	4789	19

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

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

simplify155.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1328×	`rational.json-simplify-49`
940×	`rational.json-simplify-2`
778×	`rational.json-simplify-42`
768×	`rational.json-simplify-41`
746×	`rational.json-simplify-45`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	104	1016
1	222	1010
2	442	1010
3	1069	1010
4	3245	1010

Stop Event

1×	node limit

Counts

42 → 49

Calls

Call 1

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

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

eval1.2s (3.9%)

Compiler: Compiled 26118 to 15507 computations (40.6% saved)

prune391.0ms (1.3%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	468	22	490
Fresh	0	0	0
Picked	0	1	1
Done	2	0	2
Total	470	23	493

Error

0.1b

Counts

493 → 23

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 uy (.f32 (PI.f32) 4)))) 2) (/.f32 1 (cos.f32 (.f32 2 (.f32 uy (PI.f32)))))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (.f32 ux zi))))
	0.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (.f32 (.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 uy (.f32 (PI.f32) 4)))) 2) (/.f32 (+.f32 1 (cos.f32 (.f32 uy (.f32 (PI.f32) 4)))) 2)) (/.f32 (/.f32 1 (cos.f32 (.f32 2 (.f32 uy (PI.f32))))) (/.f32 (+.f32 1 (cos.f32 (.f32 uy (.f32 (PI.f32) 4)))) 2))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi))))
▶	0.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (sin.f32 (-.f32 (/.f32 (PI.f32) 2) (.f32 2 (.f32 uy (PI.f32))))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi))))
	0.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (sin.f32 (-.f32 (.f32 2 (.f32 uy (PI.f32))) (neg.f32 (/.f32 (PI.f32) 2)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi))))
	0.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (sin.f32 (-.f32 (neg.f32 (/.f32 (PI.f32) 2)) (.f32 (PI.f32) (+.f32 (+.f32 uy uy) -1)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (.f32 ux zi))))
	0.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (sin.f32 (-.f32 (PI.f32) (-.f32 (/.f32 (PI.f32) 2) (.f32 2 (.f32 uy (PI.f32)))))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi))))
▶	0.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (+.f32 -1 (+.f32 uy uy)) -1))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (.f32 ux zi))))
	1.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 yi (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (.f32 2 (.f32 uy (PI.f32))))) (.f32 (pow.f32 (.f32 uy (PI.f32)) 5) (.f32 4/15 yi))))) (.f32 (-.f32 1 ux) (.f32 maxCos (.f32 ux zi))))
	1.0b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 yi (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (.f32 2 (.f32 uy (PI.f32))))) (.f32 yi (+.f32 (.f32 -8/315 (pow.f32 (.f32 uy (PI.f32)) 7)) (.f32 4/15 (pow.f32 (.f32 uy (PI.f32)) 5))))))) (.f32 (-.f32 1 ux) (.f32 maxCos (.f32 ux zi))))
	1.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 2 (.f32 (PI.f32) (.f32 yi uy))) (+.f32 (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 5) 4/15)) (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3)))))) (.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi))))
	1.8b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 2 (.f32 (PI.f32) (.f32 yi uy))) (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3))))) (.f32 (-.f32 1 ux) (.f32 maxCos (.f32 ux zi))))
▶	1.8b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 yi (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)))))) (.f32 (-.f32 1 ux) (.f32 maxCos (.f32 ux zi))))
	5.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (/.f32 (+.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) (sin.f32 (.f32 (PI.f32) (-.f32 (+.f32 uy uy) 2)))) 2) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (.f32 ux zi))))
	4.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (-.f32 (-.f32 0 (-.f32 -1 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))))) 1) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi))))
	1.0b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (+.f32 (+.f32 (.f32 uy (.f32 2 (PI.f32))) (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3))) (+.f32 (.f32 4/15 (pow.f32 (.f32 uy (PI.f32)) 5)) (.f32 -8/315 (pow.f32 (.f32 uy (PI.f32)) 7)))) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi))))
	4.2b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (+.f32 (-.f32 -1 (neg.f32 (.f32 2 (.f32 uy (PI.f32))))) 1)) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi))))
	0.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 (.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32))) (/.f32 2 (.f32 uy (PI.f32))))) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (.f32 ux zi))))
	4.8b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 (PI.f32) (-.f32 (+.f32 -1 (+.f32 uy uy)) -1))) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (.f32 ux zi))))
✓	0.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos 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 maxCos (*.f32 ux zi))))
	3.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi))))
	3.1b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 (-.f32 1 ux) (.f32 ux (*.f32 maxCos zi))))
	3.1b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 (-.f32 1 ux) (.f32 ux (*.f32 maxCos zi))))
▶	3.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))

Compiler

Compiled 2736 to 1943 computations (29% saved)

localize430.0ms (1.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) yi)
✓	0.4b	(*.f32 uy (PI.f32))
	0.4b	(.f32 uy (.f32 2 (PI.f32)))
✓	0.5b	(-.f32 (/.f32 (PI.f32) 2) (.f32 2 (.f32 uy (PI.f32))))

Compiler

Compiled 277 to 157 computations (43.3% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite256.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2048×	`rational.json-5`
2046×	`rational.json-1`
2046×	`rational.json-2`
2046×	`rational.json-4`
2046×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	85	38
2	282	38
3	1025	38
4	3984	38

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

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

simplify262.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1280×	`rational.json-simplify-58`
992×	`rational.json-simplify-1`
930×	`rational.json-simplify-47`
696×	`rational.json-simplify-49`
682×	`rational.json-simplify-111`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	818
1	91	818
2	260	746
3	1059	746
4	3861	746
5	6563	746

Stop Event

1×	node limit

Counts

34 → 33

Calls

Call 1

Inputs
(*.f32 1/2 (PI.f32))
(+.f32 (.f32 -2 (.f32 uy (PI.f32))) (*.f32 1/2 (PI.f32)))
(+.f32 (.f32 -2 (.f32 uy (PI.f32))) (*.f32 1/2 (PI.f32)))
(+.f32 (.f32 -2 (.f32 uy (PI.f32))) (*.f32 1/2 (PI.f32)))
(.f32 -2 (.f32 uy (PI.f32)))
(+.f32 (.f32 -2 (.f32 uy (PI.f32))) (*.f32 1/2 (PI.f32)))
(+.f32 (.f32 -2 (.f32 uy (PI.f32))) (*.f32 1/2 (PI.f32)))
(+.f32 (.f32 -2 (.f32 uy (PI.f32))) (*.f32 1/2 (PI.f32)))
(.f32 -2 (.f32 uy (PI.f32)))
(+.f32 (.f32 -2 (.f32 uy (PI.f32))) (*.f32 1/2 (PI.f32)))
(+.f32 (.f32 -2 (.f32 uy (PI.f32))) (*.f32 1/2 (PI.f32)))
(+.f32 (.f32 -2 (.f32 uy (PI.f32))) (*.f32 1/2 (PI.f32)))
(+.f32 (-.f32 (/.f32 (PI.f32) 2) (*.f32 (PI.f32) (+.f32 uy uy))) 0)
(+.f32 0 (-.f32 (/.f32 (PI.f32) 2) (*.f32 (PI.f32) (+.f32 uy uy))))
(+.f32 (-.f32 -1 (-.f32 (*.f32 (PI.f32) (+.f32 uy uy)) (/.f32 (PI.f32) 2))) 1)
(.f32 (-.f32 (/.f32 (PI.f32) 2) (.f32 (PI.f32) (+.f32 uy uy))) 1)
(.f32 (-.f32 (/.f32 (PI.f32) 2) (.f32 (PI.f32) (+.f32 uy uy))) (/.f32 (-.f32 (/.f32 (PI.f32) 2) (.f32 (PI.f32) (+.f32 uy uy))) (-.f32 (/.f32 (PI.f32) 2) (.f32 (PI.f32) (+.f32 uy uy)))))
(.f32 1 (-.f32 (/.f32 (PI.f32) 2) (.f32 (PI.f32) (+.f32 uy uy))))
(.f32 (-.f32 (.f32 (PI.f32) (+.f32 uy uy)) (/.f32 (PI.f32) 2)) -1)
(.f32 (.f32 (-.f32 (/.f32 (PI.f32) 2) (.f32 (PI.f32) (+.f32 uy uy))) (-.f32 (/.f32 (PI.f32) 2) (.f32 (PI.f32) (+.f32 uy uy)))) (/.f32 1 (-.f32 (/.f32 (PI.f32) 2) (*.f32 (PI.f32) (+.f32 uy uy)))))
(.f32 (.f32 (-.f32 (/.f32 (PI.f32) 2) (.f32 (PI.f32) (+.f32 uy uy))) (-.f32 (/.f32 (PI.f32) 2) (.f32 (PI.f32) (+.f32 uy uy)))) (.f32 (/.f32 1 (-.f32 (/.f32 (PI.f32) 2) (.f32 (PI.f32) (+.f32 uy uy)))) 1))
(.f32 (/.f32 1 (-.f32 (/.f32 (PI.f32) 2) (.f32 (PI.f32) (+.f32 uy uy)))) (.f32 (-.f32 (/.f32 (PI.f32) 2) (.f32 (PI.f32) (+.f32 uy uy))) (-.f32 (/.f32 (PI.f32) 2) (*.f32 (PI.f32) (+.f32 uy uy)))))
(.f32 (.f32 (-.f32 (/.f32 (PI.f32) 2) (.f32 (PI.f32) (+.f32 uy uy))) (.f32 (-.f32 (/.f32 (PI.f32) 2) (.f32 (PI.f32) (+.f32 uy uy))) (.f32 (-.f32 (/.f32 (PI.f32) 2) (.f32 (PI.f32) (+.f32 uy uy))) (-.f32 (/.f32 (PI.f32) 2) (.f32 (PI.f32) (+.f32 uy uy)))))) (/.f32 (/.f32 1 (-.f32 (/.f32 (PI.f32) 2) (.f32 (PI.f32) (+.f32 uy uy)))) (.f32 (-.f32 (/.f32 (PI.f32) 2) (.f32 (PI.f32) (+.f32 uy uy))) (-.f32 (/.f32 (PI.f32) 2) (.f32 (PI.f32) (+.f32 uy uy))))))
(/.f32 (-.f32 (/.f32 (PI.f32) 2) (*.f32 (PI.f32) (+.f32 uy uy))) 1)
(/.f32 (-.f32 (/.f32 (PI.f32) 2) (.f32 (PI.f32) (+.f32 uy uy))) (/.f32 (-.f32 (/.f32 (PI.f32) 2) (.f32 (PI.f32) (+.f32 uy uy))) (-.f32 (/.f32 (PI.f32) 2) (*.f32 (PI.f32) (+.f32 uy uy)))))
(/.f32 (-.f32 (*.f32 (PI.f32) (+.f32 uy uy)) (/.f32 (PI.f32) 2)) -1)
(pow.f32 (-.f32 (/.f32 (PI.f32) 2) (*.f32 (PI.f32) (+.f32 uy uy))) 1)
(neg.f32 (-.f32 (*.f32 (PI.f32) (+.f32 uy uy)) (/.f32 (PI.f32) 2)))
(+.f32 (*.f32 (PI.f32) uy) 0)
(+.f32 0 (*.f32 (PI.f32) uy))
(-.f32 (*.f32 (PI.f32) uy) 0)
(/.f32 (*.f32 (PI.f32) uy) 1)
(/.f32 (.f32 (PI.f32) uy) (/.f32 (.f32 (PI.f32) uy) (*.f32 (PI.f32) uy)))
(pow.f32 (*.f32 (PI.f32) uy) 1)

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

localize518.0ms (1.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 230 to 134 computations (41.7% saved)

localize688.0ms (2.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f32 (sin.f32 (.f32 uy (*.f32 2 (PI.f32)))) yi)
✓	0.4b	(*.f32 (PI.f32) (-.f32 (+.f32 -1 (+.f32 uy uy)) -1))
	0.4b	(.f32 uy (.f32 2 (PI.f32)))
✓	13.9b	(-.f32 (+.f32 -1 (+.f32 uy uy)) -1)

Compiler

Compiled 282 to 160 computations (43.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite119.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1882×	`rational.json-5`
1880×	`exponential.json-3`
1880×	`rational.json-1`
1880×	`rational.json-2`
1880×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	46
1	86	22
2	283	22
3	957	22
4	3805	22

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

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

Outputs

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

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

simplify189.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1562×	`rational.json-simplify-47`
1134×	`rational.json-simplify-54`
764×	`rational.json-simplify-50`
688×	`rational.json-simplify-111`
580×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	508
1	110	508
2	267	508
3	947	508
4	3009	508
5	7228	508

Stop Event

1×	node limit

Counts

52 → 30

Calls

Call 1

Inputs
(*.f32 2 uy)
(*.f32 2 uy)
(*.f32 2 uy)
(*.f32 2 uy)
(*.f32 2 uy)
(*.f32 2 uy)
(*.f32 2 uy)
(*.f32 2 uy)
(*.f32 2 uy)
(*.f32 2 uy)
(*.f32 2 uy)
(*.f32 2 uy)
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 -1 (+.f32 uy (+.f32 uy 1)))
(+.f32 uy uy)
(+.f32 (+.f32 uy uy) 0)
(+.f32 (+.f32 -1 (+.f32 uy uy)) 1)
(+.f32 0 (+.f32 uy uy))
(+.f32 1 (+.f32 -1 (+.f32 uy uy)))
(+.f32 (+.f32 -1 uy) (+.f32 uy 1))
(+.f32 (+.f32 uy (+.f32 uy 1)) -1)
(+.f32 (+.f32 uy 1) (+.f32 -1 uy))
(*.f32 uy 2)
(*.f32 (+.f32 uy uy) 1)
(*.f32 (+.f32 uy uy) (/.f32 uy uy))
(*.f32 1 (+.f32 uy uy))
(.f32 (.f32 4 (*.f32 uy uy)) (/.f32 1 (+.f32 uy uy)))
(.f32 (.f32 4 (.f32 uy uy)) (.f32 (/.f32 1 (+.f32 uy uy)) 1))
(.f32 (.f32 uy uy) (/.f32 2 uy))
(*.f32 2 uy)
(.f32 (/.f32 1 (+.f32 uy uy)) (.f32 4 (*.f32 uy uy)))
(.f32 (.f32 (.f32 4 (.f32 uy uy)) (.f32 4 (.f32 uy uy))) (/.f32 (/.f32 1 (+.f32 uy uy)) (.f32 4 (.f32 uy uy))))
(/.f32 (+.f32 uy uy) 1)
(/.f32 (+.f32 uy uy) (/.f32 uy uy))
(pow.f32 (+.f32 uy uy) 1)
(+.f32 (.f32 uy (.f32 (PI.f32) 2)) 0)
(+.f32 0 (.f32 uy (.f32 (PI.f32) 2)))
(-.f32 (.f32 uy (.f32 (PI.f32) 2)) 0)
(/.f32 (.f32 uy (.f32 (PI.f32) 2)) 1)
(/.f32 (.f32 uy (.f32 (PI.f32) 2)) (/.f32 (.f32 uy (.f32 (PI.f32) 2)) (.f32 uy (.f32 (PI.f32) 2))))
(pow.f32 (.f32 uy (.f32 (PI.f32) 2)) 1)

Outputs
(*.f32 2 uy)
(+.f32 uy uy)
(*.f32 2 uy)
(+.f32 uy uy)
(*.f32 2 uy)
(+.f32 uy uy)
(*.f32 2 uy)
(+.f32 uy uy)
(*.f32 2 uy)
(+.f32 uy uy)
(*.f32 2 uy)
(+.f32 uy uy)
(*.f32 2 uy)
(+.f32 uy uy)
(*.f32 2 uy)
(+.f32 uy uy)
(*.f32 2 uy)
(+.f32 uy uy)
(*.f32 2 uy)
(+.f32 uy uy)
(*.f32 2 uy)
(+.f32 uy uy)
(*.f32 2 uy)
(+.f32 uy uy)
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(+.f32 -1 (+.f32 uy (+.f32 uy 1)))
(*.f32 2 uy)
(+.f32 uy uy)
(+.f32 uy uy)
(*.f32 2 uy)
(+.f32 (+.f32 uy uy) 0)
(*.f32 2 uy)
(+.f32 uy uy)
(+.f32 (+.f32 -1 (+.f32 uy uy)) 1)
(*.f32 2 uy)
(+.f32 uy uy)
(+.f32 0 (+.f32 uy uy))
(*.f32 2 uy)
(+.f32 uy uy)
(+.f32 1 (+.f32 -1 (+.f32 uy uy)))
(*.f32 2 uy)
(+.f32 uy uy)
(+.f32 (+.f32 -1 uy) (+.f32 uy 1))
(*.f32 2 uy)
(+.f32 uy uy)
(+.f32 (+.f32 uy (+.f32 uy 1)) -1)
(*.f32 2 uy)
(+.f32 uy uy)
(+.f32 (+.f32 uy 1) (+.f32 -1 uy))
(*.f32 2 uy)
(+.f32 uy uy)
(*.f32 uy 2)
(*.f32 2 uy)
(+.f32 uy uy)
(*.f32 (+.f32 uy uy) 1)
(*.f32 2 uy)
(+.f32 uy uy)
(*.f32 (+.f32 uy uy) (/.f32 uy uy))
(*.f32 2 uy)
(+.f32 uy uy)
(*.f32 1 (+.f32 uy uy))
(*.f32 2 uy)
(+.f32 uy uy)
(.f32 (.f32 4 (*.f32 uy uy)) (/.f32 1 (+.f32 uy uy)))
(*.f32 2 uy)
(+.f32 uy uy)
(.f32 (.f32 4 (.f32 uy uy)) (.f32 (/.f32 1 (+.f32 uy uy)) 1))
(*.f32 2 uy)
(+.f32 uy uy)
(.f32 (.f32 uy uy) (/.f32 2 uy))
(*.f32 2 uy)
(+.f32 uy uy)
(*.f32 2 uy)
(+.f32 uy uy)
(.f32 (/.f32 1 (+.f32 uy uy)) (.f32 4 (*.f32 uy uy)))
(*.f32 2 uy)
(+.f32 uy uy)
(.f32 (.f32 (.f32 4 (.f32 uy uy)) (.f32 4 (.f32 uy uy))) (/.f32 (/.f32 1 (+.f32 uy uy)) (.f32 4 (.f32 uy uy))))
(*.f32 2 uy)
(+.f32 uy uy)
(/.f32 (+.f32 uy uy) 1)
(*.f32 2 uy)
(+.f32 uy uy)
(/.f32 (+.f32 uy uy) (/.f32 uy uy))
(*.f32 2 uy)
(+.f32 uy uy)
(pow.f32 (+.f32 uy uy) 1)
(*.f32 2 uy)
(+.f32 uy uy)
(+.f32 (.f32 uy (.f32 (PI.f32) 2)) 0)
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(+.f32 0 (.f32 uy (.f32 (PI.f32) 2)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(-.f32 (.f32 uy (.f32 (PI.f32) 2)) 0)
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(/.f32 (.f32 uy (.f32 (PI.f32) 2)) 1)
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(/.f32 (.f32 uy (.f32 (PI.f32) 2)) (/.f32 (.f32 uy (.f32 (PI.f32) 2)) (.f32 uy (.f32 (PI.f32) 2))))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(pow.f32 (.f32 uy (.f32 (PI.f32) 2)) 1)
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))

localize776.0ms (2.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(.f32 uy (.f32 2 (PI.f32)))
	0.4b	(*.f32 uy (PI.f32))
✓	0.4b	(.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3))
✓	0.8b	(pow.f32 (*.f32 uy (PI.f32)) 3)

Compiler

Compiled 308 to 163 computations (47.1% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite140.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2022×	`rational.json-5`
2020×	`rational.json-1`
2020×	`rational.json-2`
2020×	`rational.json-4`
2020×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	85	36
2	271	36
3	982	36
4	3942	36

Stop Event

1×	node limit

Counts

2 → 21

Calls

Call 1

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

Outputs

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

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

simplify194.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1430×	`rational.json-simplify-111`
978×	`rational.json-simplify-76`
852×	`rational.json-simplify-55`
778×	`rational.json-simplify-50`
756×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	817
1	94	817
2	268	817
3	1016	817
4	3561	817
5	6791	817

Stop Event

1×	node limit

Counts

45 → 28

Calls

Call 1

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

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

localize752.0ms (2.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 uy (.f32 (PI.f32) 4)))) 2) (/.f32 1 (cos.f32 (.f32 2 (*.f32 uy (PI.f32))))))
	0.4b	(.f32 uy (.f32 2 (PI.f32)))
	0.4b	(*.f32 uy (PI.f32))
✓	0.4b	(.f32 uy (.f32 (PI.f32) 4))

Compiler

Compiled 357 to 222 computations (37.8% saved)

series7.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	uy	@	0	(.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 uy (.f32 (PI.f32) 4)))) 2) (/.f32 1 (cos.f32 (.f32 2 (*.f32 uy (PI.f32))))))
2.0ms	uy	@	inf	(.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 uy (.f32 (PI.f32) 4)))) 2) (/.f32 1 (cos.f32 (.f32 2 (*.f32 uy (PI.f32))))))
2.0ms	uy	@	-inf	(.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 uy (.f32 (PI.f32) 4)))) 2) (/.f32 1 (cos.f32 (.f32 2 (*.f32 uy (PI.f32))))))
1.0ms	uy	@	0	(.f32 uy (.f32 (PI.f32) 4))
0.0ms	uy	@	-inf	(.f32 uy (.f32 (PI.f32) 4))

rewrite136.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1322×	`rational.json-5`
1320×	`exponential.json-3`
1320×	`rational.json-1`
1320×	`rational.json-2`
1320×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	76
1	172	76
2	567	34
3	2418	34

Stop Event

1×	node limit

Counts

2 → 31

Calls

Call 1

Inputs
(.f32 uy (.f32 (PI.f32) 4))
(.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 uy (.f32 (PI.f32) 4)))) 2) (/.f32 1 (cos.f32 (.f32 2 (*.f32 uy (PI.f32))))))

Outputs

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

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

simplify134.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1064×	`rational.json-simplify-2`
1056×	`rational.json-simplify-1`
836×	`rational.json-simplify-41`
754×	`rational.json-simplify-45`
708×	`rational.json-simplify-42`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	119	1957
1	251	1725
2	586	1609
3	1454	1577
4	5046	1569

Stop Event

1×	node limit

Counts

55 → 63

Calls

Call 1

Inputs
(.f32 4 (.f32 uy (PI.f32)))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 4 (.f32 uy (PI.f32)))
1
(+.f32 1 (.f32 1/2 (.f32 (pow.f32 uy 2) (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (.f32 -4 (pow.f32 (PI.f32) 2))))))
(+.f32 (.f32 1/2 (.f32 (-.f32 (.f32 32/3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 -2 (.f32 (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (.f32 -4 (pow.f32 (PI.f32) 2))) (pow.f32 (PI.f32) 2))) (.f32 4/3 (pow.f32 (PI.f32) 4)))) (pow.f32 uy 4))) (+.f32 1 (.f32 1/2 (.f32 (pow.f32 uy 2) (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (.f32 -4 (pow.f32 (PI.f32) 2)))))))
(+.f32 (.f32 1/2 (.f32 (-.f32 (.f32 32/3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 -2 (.f32 (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (.f32 -4 (pow.f32 (PI.f32) 2))) (pow.f32 (PI.f32) 2))) (.f32 4/3 (pow.f32 (PI.f32) 4)))) (pow.f32 uy 4))) (+.f32 1 (+.f32 (.f32 1/2 (.f32 (pow.f32 uy 6) (-.f32 (.f32 -256/45 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -2 (.f32 (-.f32 (.f32 32/3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 -2 (.f32 (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (.f32 -4 (pow.f32 (PI.f32) 2))) (pow.f32 (PI.f32) 2))) (.f32 4/3 (pow.f32 (PI.f32) 4)))) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 -8/45 (pow.f32 (PI.f32) 6)) (.f32 2/3 (.f32 (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (.f32 -4 (pow.f32 (PI.f32) 2))) (pow.f32 (PI.f32) 4)))))))) (.f32 1/2 (.f32 (pow.f32 uy 2) (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (.f32 -4 (pow.f32 (PI.f32) 2))))))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 2 (*.f32 uy (PI.f32))))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 2 (*.f32 uy (PI.f32))))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 2 (*.f32 uy (PI.f32))))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 2 (*.f32 uy (PI.f32))))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 2 (*.f32 uy (PI.f32))))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 2 (*.f32 uy (PI.f32))))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 2 (*.f32 uy (PI.f32))))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 2 (*.f32 uy (PI.f32))))))
(+.f32 (.f32 uy (.f32 (PI.f32) 4)) 0)
(+.f32 (.f32 uy (PI.f32)) (+.f32 (.f32 uy (PI.f32)) (*.f32 (PI.f32) (+.f32 uy uy))))
(+.f32 (.f32 (PI.f32) (+.f32 uy uy)) (.f32 (PI.f32) (+.f32 uy uy)))
(+.f32 0 (.f32 uy (.f32 (PI.f32) 4)))
(-.f32 (.f32 uy (.f32 (PI.f32) 4)) 0)
(-.f32 (.f32 (PI.f32) (+.f32 uy uy)) (.f32 (*.f32 uy (PI.f32)) -2))
(-.f32 0 (.f32 (.f32 uy (PI.f32)) -4))
(-.f32 (-.f32 (.f32 (PI.f32) (+.f32 uy uy)) (-.f32 -1 (.f32 (PI.f32) (+.f32 uy uy)))) 1)
(-.f32 (-.f32 0 (-.f32 -1 (.f32 uy (.f32 (PI.f32) 4)))) 1)
(/.f32 (.f32 uy (.f32 (PI.f32) 4)) 1)
(/.f32 (.f32 uy (.f32 (PI.f32) 4)) (/.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32))))
(/.f32 (.f32 (.f32 uy (PI.f32)) -4) -1)
(pow.f32 (.f32 uy (.f32 (PI.f32) 4)) 1)
(neg.f32 (.f32 (.f32 uy (PI.f32)) -4))
(+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 uy uy))) 0)
(+.f32 (cos.f32 (.f32 (PI.f32) (+.f32 uy uy))) (.f32 0 (cos.f32 (-.f32 (/.f32 (PI.f32) 2) (*.f32 (PI.f32) (+.f32 uy uy))))))
(+.f32 (cos.f32 (.f32 (PI.f32) (+.f32 uy uy))) (+.f32 0 (.f32 0 (cos.f32 (-.f32 (/.f32 (PI.f32) 2) (*.f32 (PI.f32) (+.f32 uy uy)))))))
(+.f32 0 (cos.f32 (*.f32 (PI.f32) (+.f32 uy uy))))
(+.f32 (.f32 0 (cos.f32 (-.f32 (/.f32 (PI.f32) 2) (.f32 (PI.f32) (+.f32 uy uy))))) (cos.f32 (*.f32 (PI.f32) (+.f32 uy uy))))
(-.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 uy uy))) 0)
(/.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 uy uy))) 1)
(/.f32 (cos.f32 (.f32 (PI.f32) (+.f32 uy uy))) (/.f32 (cos.f32 (.f32 (PI.f32) (+.f32 uy uy))) (cos.f32 (*.f32 (PI.f32) (+.f32 uy uy)))))
(/.f32 (.f32 2 (cos.f32 (.f32 (PI.f32) (+.f32 uy uy)))) 2)
(pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 uy uy))) 1)
(cos.f32 (*.f32 (PI.f32) (+.f32 uy uy)))
(cos.f32 (.f32 (.f32 uy (PI.f32)) -2))
(sin.f32 (-.f32 (/.f32 (PI.f32) 2) (*.f32 (PI.f32) (+.f32 uy uy))))
(sin.f32 (-.f32 (PI.f32) (-.f32 (/.f32 (PI.f32) 2) (*.f32 (PI.f32) (+.f32 uy uy)))))
(sin.f32 (-.f32 (/.f32 (PI.f32) 2) (.f32 (.f32 uy (PI.f32)) -2)))
(sin.f32 (-.f32 (-.f32 (/.f32 (PI.f32) 2) (*.f32 (PI.f32) (+.f32 uy uy))) (-.f32 (PI.f32) (PI.f32))))
(sin.f32 (-.f32 (PI.f32) (-.f32 (/.f32 (PI.f32) 2) (.f32 (.f32 uy (PI.f32)) -2))))

Outputs
(.f32 4 (.f32 uy (PI.f32)))
(.f32 uy (.f32 4 (PI.f32)))
(.f32 (PI.f32) (.f32 4 uy))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 uy (.f32 4 (PI.f32)))
(.f32 (PI.f32) (.f32 4 uy))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 uy (.f32 4 (PI.f32)))
(.f32 (PI.f32) (.f32 4 uy))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 uy (.f32 4 (PI.f32)))
(.f32 (PI.f32) (.f32 4 uy))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 uy (.f32 4 (PI.f32)))
(.f32 (PI.f32) (.f32 4 uy))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 uy (.f32 4 (PI.f32)))
(.f32 (PI.f32) (.f32 4 uy))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 uy (.f32 4 (PI.f32)))
(.f32 (PI.f32) (.f32 4 uy))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 uy (.f32 4 (PI.f32)))
(.f32 (PI.f32) (.f32 4 uy))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 uy (.f32 4 (PI.f32)))
(.f32 (PI.f32) (.f32 4 uy))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 uy (.f32 4 (PI.f32)))
(.f32 (PI.f32) (.f32 4 uy))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 uy (.f32 4 (PI.f32)))
(.f32 (PI.f32) (.f32 4 uy))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 uy (.f32 4 (PI.f32)))
(.f32 (PI.f32) (.f32 4 uy))
1
(+.f32 1 (.f32 1/2 (.f32 (pow.f32 uy 2) (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (.f32 -4 (pow.f32 (PI.f32) 2))))))
(+.f32 1 (.f32 1/2 (.f32 (pow.f32 uy 2) (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (.f32 (pow.f32 (PI.f32) 2) -4)))))
(+.f32 1 (.f32 1/2 (.f32 (pow.f32 uy 2) (*.f32 (pow.f32 (PI.f32) 2) -4))))
(+.f32 1 (.f32 (pow.f32 uy 2) (.f32 (pow.f32 (PI.f32) 2) -2)))
(+.f32 1 (.f32 -2 (pow.f32 (.f32 uy (PI.f32)) 2)))
(+.f32 (.f32 1/2 (.f32 (-.f32 (.f32 32/3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 -2 (.f32 (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (.f32 -4 (pow.f32 (PI.f32) 2))) (pow.f32 (PI.f32) 2))) (.f32 4/3 (pow.f32 (PI.f32) 4)))) (pow.f32 uy 4))) (+.f32 1 (.f32 1/2 (.f32 (pow.f32 uy 2) (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (.f32 -4 (pow.f32 (PI.f32) 2)))))))
(+.f32 (+.f32 1 (.f32 1/2 (.f32 (pow.f32 uy 2) (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (.f32 (pow.f32 (PI.f32) 2) -4))))) (.f32 1/2 (.f32 (-.f32 (.f32 32/3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (.f32 (pow.f32 (PI.f32) 2) -4)) (.f32 (pow.f32 (PI.f32) 2) -2)) (.f32 (pow.f32 (PI.f32) 4) 4/3))) (pow.f32 uy 4))))
(+.f32 1 (.f32 1/2 (+.f32 (.f32 (-.f32 (.f32 32/3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 (pow.f32 (PI.f32) 2) (.f32 -2 (.f32 (pow.f32 (PI.f32) 2) -4))) (.f32 (pow.f32 (PI.f32) 4) 4/3))) (pow.f32 uy 4)) (.f32 (pow.f32 uy 2) (*.f32 (pow.f32 (PI.f32) 2) -4)))))
(+.f32 1 (+.f32 (.f32 (pow.f32 uy 2) (.f32 (pow.f32 (PI.f32) 2) -2)) (.f32 1/2 (.f32 (-.f32 (.f32 (pow.f32 (PI.f32) 4) 28/3) (.f32 (pow.f32 (PI.f32) 2) (*.f32 (pow.f32 (PI.f32) 2) 8))) (pow.f32 uy 4)))))
(+.f32 1 (.f32 1/2 (+.f32 (.f32 -4 (pow.f32 (.f32 uy (PI.f32)) 2)) (.f32 (-.f32 (.f32 (pow.f32 (PI.f32) 4) 28/3) (.f32 (pow.f32 (PI.f32) 2) (*.f32 (pow.f32 (PI.f32) 2) 8))) (pow.f32 uy 4)))))
(+.f32 (.f32 1/2 (.f32 (-.f32 (.f32 32/3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 -2 (.f32 (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (.f32 -4 (pow.f32 (PI.f32) 2))) (pow.f32 (PI.f32) 2))) (.f32 4/3 (pow.f32 (PI.f32) 4)))) (pow.f32 uy 4))) (+.f32 1 (+.f32 (.f32 1/2 (.f32 (pow.f32 uy 6) (-.f32 (.f32 -256/45 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -2 (.f32 (-.f32 (.f32 32/3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 -2 (.f32 (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (.f32 -4 (pow.f32 (PI.f32) 2))) (pow.f32 (PI.f32) 2))) (.f32 4/3 (pow.f32 (PI.f32) 4)))) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 -8/45 (pow.f32 (PI.f32) 6)) (.f32 2/3 (.f32 (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (.f32 -4 (pow.f32 (PI.f32) 2))) (pow.f32 (PI.f32) 4)))))))) (.f32 1/2 (.f32 (pow.f32 uy 2) (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (.f32 -4 (pow.f32 (PI.f32) 2))))))))
(+.f32 (.f32 1/2 (.f32 (-.f32 (.f32 32/3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (.f32 (pow.f32 (PI.f32) 2) -4)) (.f32 (pow.f32 (PI.f32) 2) -2)) (.f32 (pow.f32 (PI.f32) 4) 4/3))) (pow.f32 uy 4))) (+.f32 (.f32 1/2 (.f32 (pow.f32 uy 6) (-.f32 (.f32 -256/45 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 (-.f32 (.f32 32/3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (.f32 (pow.f32 (PI.f32) 2) -4)) (.f32 (pow.f32 (PI.f32) 2) -2)) (.f32 (pow.f32 (PI.f32) 4) 4/3))) (.f32 (pow.f32 (PI.f32) 2) -2)) (+.f32 (.f32 (pow.f32 (PI.f32) 6) -8/45) (.f32 (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (.f32 (pow.f32 (PI.f32) 2) -4)) (.f32 (pow.f32 (PI.f32) 4) 2/3))))))) (+.f32 1 (.f32 1/2 (.f32 (pow.f32 uy 2) (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (.f32 (pow.f32 (PI.f32) 2) -4)))))))
(+.f32 (.f32 1/2 (.f32 (-.f32 (.f32 32/3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 (pow.f32 (PI.f32) 2) (.f32 -2 (.f32 (pow.f32 (PI.f32) 2) -4))) (.f32 (pow.f32 (PI.f32) 4) 4/3))) (pow.f32 uy 4))) (+.f32 1 (.f32 1/2 (+.f32 (.f32 (pow.f32 uy 6) (-.f32 (.f32 -256/45 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 (pow.f32 (PI.f32) 2) (.f32 (-.f32 (.f32 32/3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 (pow.f32 (PI.f32) 2) (.f32 -2 (.f32 (pow.f32 (PI.f32) 2) -4))) (.f32 (pow.f32 (PI.f32) 4) 4/3))) -2)) (+.f32 (.f32 (pow.f32 (PI.f32) 6) -8/45) (.f32 (.f32 (pow.f32 (PI.f32) 2) -4) (.f32 (pow.f32 (PI.f32) 4) 2/3)))))) (.f32 (pow.f32 uy 2) (*.f32 (pow.f32 (PI.f32) 2) -4))))))
(+.f32 1 (.f32 1/2 (+.f32 (.f32 (-.f32 (.f32 (pow.f32 (PI.f32) 4) 28/3) (.f32 (pow.f32 (PI.f32) 2) (.f32 (pow.f32 (PI.f32) 2) 8))) (pow.f32 uy 4)) (+.f32 (.f32 (pow.f32 (PI.f32) 2) (.f32 -4 (pow.f32 uy 2))) (.f32 (pow.f32 uy 6) (-.f32 (-.f32 (.f32 (pow.f32 (PI.f32) 6) -248/45) (.f32 (pow.f32 (PI.f32) 4) (.f32 (pow.f32 (PI.f32) 2) -8/3))) (.f32 (-.f32 (.f32 (pow.f32 (PI.f32) 4) 28/3) (.f32 (pow.f32 (PI.f32) 2) (.f32 (pow.f32 (PI.f32) 2) 8))) (.f32 (pow.f32 (PI.f32) 2) -2))))))))
(+.f32 1 (.f32 1/2 (+.f32 (+.f32 (.f32 -4 (pow.f32 (.f32 uy (PI.f32)) 2)) (.f32 (-.f32 (.f32 (pow.f32 (PI.f32) 4) 28/3) (.f32 (pow.f32 (PI.f32) 2) (.f32 (pow.f32 (PI.f32) 2) 8))) (pow.f32 uy 4))) (.f32 (pow.f32 uy 6) (-.f32 (.f32 (pow.f32 (PI.f32) 6) -248/45) (.f32 (pow.f32 (PI.f32) 2) (+.f32 (.f32 -2 (-.f32 (.f32 (pow.f32 (PI.f32) 4) 28/3) (.f32 (pow.f32 (PI.f32) 2) (.f32 (pow.f32 (PI.f32) 2) 8)))) (*.f32 (pow.f32 (PI.f32) 4) -8/3))))))))
(+.f32 (.f32 -2 (pow.f32 (.f32 uy (PI.f32)) 2)) (+.f32 1 (.f32 1/2 (+.f32 (.f32 (-.f32 (.f32 (pow.f32 (PI.f32) 4) 28/3) (.f32 (pow.f32 (PI.f32) 2) (.f32 (pow.f32 (PI.f32) 2) 8))) (pow.f32 uy 4)) (.f32 (pow.f32 uy 6) (-.f32 (.f32 (pow.f32 (PI.f32) 6) -248/45) (.f32 (pow.f32 (PI.f32) 2) (+.f32 (.f32 -2 (-.f32 (.f32 (pow.f32 (PI.f32) 4) 28/3) (.f32 (pow.f32 (PI.f32) 2) (.f32 (pow.f32 (PI.f32) 2) 8)))) (*.f32 (pow.f32 (PI.f32) 4) -8/3)))))))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 2 (*.f32 uy (PI.f32))))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 uy (*.f32 (PI.f32) 2)))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 uy (.f32 4 (PI.f32))))) (cos.f32 (.f32 uy (*.f32 (PI.f32) 2)))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 uy (*.f32 (PI.f32) 2)))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (*.f32 uy 2)))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 2 (*.f32 uy (PI.f32))))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 uy (*.f32 (PI.f32) 2)))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 uy (.f32 4 (PI.f32))))) (cos.f32 (.f32 uy (*.f32 (PI.f32) 2)))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 uy (*.f32 (PI.f32) 2)))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (*.f32 uy 2)))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 2 (*.f32 uy (PI.f32))))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 uy (*.f32 (PI.f32) 2)))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 uy (.f32 4 (PI.f32))))) (cos.f32 (.f32 uy (*.f32 (PI.f32) 2)))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 uy (*.f32 (PI.f32) 2)))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (*.f32 uy 2)))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 2 (*.f32 uy (PI.f32))))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 uy (*.f32 (PI.f32) 2)))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 uy (.f32 4 (PI.f32))))) (cos.f32 (.f32 uy (*.f32 (PI.f32) 2)))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 uy (*.f32 (PI.f32) 2)))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (*.f32 uy 2)))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 2 (*.f32 uy (PI.f32))))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 uy (*.f32 (PI.f32) 2)))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 uy (.f32 4 (PI.f32))))) (cos.f32 (.f32 uy (*.f32 (PI.f32) 2)))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 uy (*.f32 (PI.f32) 2)))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (*.f32 uy 2)))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 2 (*.f32 uy (PI.f32))))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 uy (*.f32 (PI.f32) 2)))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 uy (.f32 4 (PI.f32))))) (cos.f32 (.f32 uy (*.f32 (PI.f32) 2)))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 uy (*.f32 (PI.f32) 2)))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (*.f32 uy 2)))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 2 (*.f32 uy (PI.f32))))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 uy (*.f32 (PI.f32) 2)))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 uy (.f32 4 (PI.f32))))) (cos.f32 (.f32 uy (*.f32 (PI.f32) 2)))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 uy (*.f32 (PI.f32) 2)))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (*.f32 uy 2)))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 2 (*.f32 uy (PI.f32))))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 uy (*.f32 (PI.f32) 2)))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 uy (.f32 4 (PI.f32))))) (cos.f32 (.f32 uy (*.f32 (PI.f32) 2)))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 uy (*.f32 (PI.f32) 2)))))
(.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (*.f32 uy 2)))))
(+.f32 (.f32 uy (.f32 (PI.f32) 4)) 0)
(.f32 4 (.f32 uy (PI.f32)))
(.f32 uy (.f32 4 (PI.f32)))
(.f32 (PI.f32) (.f32 4 uy))
(+.f32 (.f32 uy (PI.f32)) (+.f32 (.f32 uy (PI.f32)) (*.f32 (PI.f32) (+.f32 uy uy))))
(*.f32 (+.f32 uy uy) (+.f32 (PI.f32) (PI.f32)))
(.f32 (.f32 uy (*.f32 (PI.f32) -2)) -2)
(+.f32 (.f32 (PI.f32) (+.f32 uy uy)) (.f32 (PI.f32) (+.f32 uy uy)))
(+.f32 (.f32 uy (PI.f32)) (+.f32 (.f32 uy (PI.f32)) (*.f32 (PI.f32) (+.f32 uy uy))))
(*.f32 (+.f32 uy uy) (+.f32 (PI.f32) (PI.f32)))
(.f32 (.f32 uy (*.f32 (PI.f32) -2)) -2)
(+.f32 0 (.f32 uy (.f32 (PI.f32) 4)))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 uy (.f32 4 (PI.f32)))
(.f32 (PI.f32) (.f32 4 uy))
(-.f32 (.f32 uy (.f32 (PI.f32) 4)) 0)
(.f32 4 (.f32 uy (PI.f32)))
(.f32 uy (.f32 4 (PI.f32)))
(.f32 (PI.f32) (.f32 4 uy))
(-.f32 (.f32 (PI.f32) (+.f32 uy uy)) (.f32 (*.f32 uy (PI.f32)) -2))
(+.f32 (.f32 uy (PI.f32)) (+.f32 (.f32 uy (PI.f32)) (*.f32 (PI.f32) (+.f32 uy uy))))
(*.f32 (+.f32 uy uy) (+.f32 (PI.f32) (PI.f32)))
(.f32 (.f32 uy (*.f32 (PI.f32) -2)) -2)
(-.f32 0 (.f32 (.f32 uy (PI.f32)) -4))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 uy (.f32 4 (PI.f32)))
(.f32 (PI.f32) (.f32 4 uy))
(-.f32 (-.f32 (.f32 (PI.f32) (+.f32 uy uy)) (-.f32 -1 (.f32 (PI.f32) (+.f32 uy uy)))) 1)
(+.f32 (.f32 uy (PI.f32)) (+.f32 (.f32 uy (PI.f32)) (*.f32 (PI.f32) (+.f32 uy uy))))
(*.f32 (+.f32 uy uy) (+.f32 (PI.f32) (PI.f32)))
(.f32 (.f32 uy (*.f32 (PI.f32) -2)) -2)
(-.f32 (-.f32 0 (-.f32 -1 (.f32 uy (.f32 (PI.f32) 4)))) 1)
(.f32 4 (.f32 uy (PI.f32)))
(.f32 uy (.f32 4 (PI.f32)))
(.f32 (PI.f32) (.f32 4 uy))
(/.f32 (.f32 uy (.f32 (PI.f32) 4)) 1)
(.f32 4 (.f32 uy (PI.f32)))
(.f32 uy (.f32 4 (PI.f32)))
(.f32 (PI.f32) (.f32 4 uy))
(/.f32 (.f32 uy (.f32 (PI.f32) 4)) (/.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32))))
(/.f32 (.f32 4 (.f32 uy (PI.f32))) (/.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32))))
(.f32 (.f32 uy (.f32 (PI.f32) (.f32 uy (PI.f32)))) (/.f32 4 (*.f32 uy (PI.f32))))
(.f32 (.f32 (PI.f32) (.f32 4 uy)) (/.f32 (.f32 uy (PI.f32)) (*.f32 uy (PI.f32))))
(/.f32 (.f32 (.f32 uy (PI.f32)) -4) -1)
(.f32 4 (.f32 uy (PI.f32)))
(.f32 uy (.f32 4 (PI.f32)))
(.f32 (PI.f32) (.f32 4 uy))
(pow.f32 (.f32 uy (.f32 (PI.f32) 4)) 1)
(.f32 4 (.f32 uy (PI.f32)))
(.f32 uy (.f32 4 (PI.f32)))
(.f32 (PI.f32) (.f32 4 uy))
(neg.f32 (.f32 (.f32 uy (PI.f32)) -4))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 uy (.f32 4 (PI.f32)))
(.f32 (PI.f32) (.f32 4 uy))
(+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 uy uy))) 0)
(cos.f32 (*.f32 (PI.f32) (+.f32 uy uy)))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(+.f32 (cos.f32 (.f32 (PI.f32) (+.f32 uy uy))) (.f32 0 (cos.f32 (-.f32 (/.f32 (PI.f32) 2) (*.f32 (PI.f32) (+.f32 uy uy))))))
(cos.f32 (*.f32 (PI.f32) (+.f32 uy uy)))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(+.f32 (cos.f32 (.f32 (PI.f32) (+.f32 uy uy))) (+.f32 0 (.f32 0 (cos.f32 (-.f32 (/.f32 (PI.f32) 2) (*.f32 (PI.f32) (+.f32 uy uy)))))))
(cos.f32 (*.f32 (PI.f32) (+.f32 uy uy)))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(+.f32 0 (cos.f32 (*.f32 (PI.f32) (+.f32 uy uy))))
(cos.f32 (*.f32 (PI.f32) (+.f32 uy uy)))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(+.f32 (.f32 0 (cos.f32 (-.f32 (/.f32 (PI.f32) 2) (.f32 (PI.f32) (+.f32 uy uy))))) (cos.f32 (*.f32 (PI.f32) (+.f32 uy uy))))
(cos.f32 (*.f32 (PI.f32) (+.f32 uy uy)))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(-.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 uy uy))) 0)
(cos.f32 (*.f32 (PI.f32) (+.f32 uy uy)))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(/.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 uy uy))) 1)
(cos.f32 (*.f32 (PI.f32) (+.f32 uy uy)))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(/.f32 (cos.f32 (.f32 (PI.f32) (+.f32 uy uy))) (/.f32 (cos.f32 (.f32 (PI.f32) (+.f32 uy uy))) (cos.f32 (*.f32 (PI.f32) (+.f32 uy uy)))))
(cos.f32 (*.f32 (PI.f32) (+.f32 uy uy)))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(/.f32 (.f32 2 (cos.f32 (.f32 (PI.f32) (+.f32 uy uy)))) 2)
(/.f32 (.f32 2 (cos.f32 (.f32 (PI.f32) (*.f32 uy 2)))) 2)
(pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 uy uy))) 1)
(cos.f32 (*.f32 (PI.f32) (+.f32 uy uy)))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(cos.f32 (*.f32 (PI.f32) (+.f32 uy uy)))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(cos.f32 (.f32 (.f32 uy (PI.f32)) -2))
(cos.f32 (*.f32 (PI.f32) (+.f32 uy uy)))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(sin.f32 (-.f32 (/.f32 (PI.f32) 2) (*.f32 (PI.f32) (+.f32 uy uy))))
(cos.f32 (*.f32 (PI.f32) (+.f32 uy uy)))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(sin.f32 (-.f32 (PI.f32) (-.f32 (/.f32 (PI.f32) 2) (*.f32 (PI.f32) (+.f32 uy uy)))))
(cos.f32 (*.f32 (PI.f32) (+.f32 uy uy)))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(sin.f32 (-.f32 (/.f32 (PI.f32) 2) (.f32 (.f32 uy (PI.f32)) -2)))
(cos.f32 (*.f32 (PI.f32) (+.f32 uy uy)))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(sin.f32 (-.f32 (-.f32 (/.f32 (PI.f32) 2) (*.f32 (PI.f32) (+.f32 uy uy))) (-.f32 (PI.f32) (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (+.f32 uy uy)))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))
(sin.f32 (-.f32 (PI.f32) (-.f32 (/.f32 (PI.f32) 2) (.f32 (.f32 uy (PI.f32)) -2))))
(cos.f32 (*.f32 (PI.f32) (+.f32 uy uy)))
(cos.f32 (.f32 (PI.f32) (.f32 uy 2)))

eval726.0ms (2.4%)

Compiler: Compiled 26254 to 15369 computations (41.5% saved)

prune359.0ms (1.2%)

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	452	18	470
Fresh	10	7	17
Picked	1	0	1
Done	2	3	5
Total	465	28	493

Error

0.1b

Counts

493 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	0.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (.f32 uy 2))))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (.f32 ux zi))))
✓	0.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (sin.f32 (-.f32 (/.f32 (PI.f32) 2) (.f32 2 (.f32 uy (PI.f32))))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi))))
	0.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (sin.f32 (-.f32 (PI.f32) (-.f32 (/.f32 (PI.f32) 2) (.f32 (PI.f32) (+.f32 uy uy))))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (.f32 ux zi))))
▶	0.2b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 -2 uy)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi))))
	3.2b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (+.f32 -1 (+.f32 uy uy)) -1))) xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 (-.f32 1 ux) (.f32 maxCos (.f32 ux zi))))
	0.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 (+.f32 uy (+.f32 uy 1)) -1))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (.f32 ux zi))))
	1.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 2 (.f32 (PI.f32) (.f32 yi uy))) (+.f32 (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 5) 4/15)) (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3)))))) (.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi))))
✓	1.8b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 yi (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)))))) (.f32 (-.f32 1 ux) (.f32 maxCos (.f32 ux zi))))
	5.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (/.f32 (+.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) (sin.f32 (.f32 (PI.f32) (-.f32 (+.f32 uy uy) 2)))) 2) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (.f32 ux zi))))
	4.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (-.f32 (-.f32 0 (-.f32 -1 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))))) 1) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi))))
	4.2b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (+.f32 (-.f32 -1 (neg.f32 (.f32 2 (.f32 uy (PI.f32))))) 1)) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi))))
	4.8b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 (PI.f32) (-.f32 (+.f32 -1 (+.f32 uy uy)) -1))) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (.f32 ux zi))))
✓	0.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos 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 maxCos (*.f32 ux zi))))
	3.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi))))
	3.1b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 (-.f32 1 ux) (.f32 ux (*.f32 maxCos zi))))
	4.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (+.f32 (.f32 yi (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (.f32 2 (.f32 uy (PI.f32))))) (.f32 (pow.f32 (.f32 uy (PI.f32)) 5) (.f32 4/15 yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	4.0b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (+.f32 (.f32 yi (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (.f32 2 (.f32 uy (PI.f32))))) (.f32 yi (+.f32 (.f32 -8/315 (pow.f32 (.f32 uy (PI.f32)) 7)) (.f32 4/15 (pow.f32 (.f32 uy (PI.f32)) 5))))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
▶	4.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (+.f32 (.f32 2 (.f32 (PI.f32) (.f32 yi uy))) (+.f32 (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 5) 4/15)) (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3)))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	4.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (+.f32 (.f32 2 (.f32 (PI.f32) (.f32 yi uy))) (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	4.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 yi (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	7.8b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (-.f32 (-.f32 0 (-.f32 -1 (.f32 2 (.f32 uy (PI.f32))))) 1)) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
▶	8.2b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 (+.f32 uy uy))))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	7.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (+.f32 (-.f32 -1 (neg.f32 (.f32 2 (.f32 uy (PI.f32))))) 1)) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
▶	3.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (.f32 (.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32))) (/.f32 2 (.f32 uy (PI.f32))))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	8.0b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (.f32 (PI.f32) (-.f32 (+.f32 -1 (+.f32 uy uy)) -1))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	4.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 yi (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (.f32 2 (.f32 uy (PI.f32))))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	5.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
▶	5.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))

Compiler

Compiled 2991 to 2128 computations (28.9% saved)

localize375.0ms (1.2%)

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)
✓	0.3b	(.f32 (PI.f32) (+.f32 1/2 (.f32 -2 uy)))
	0.4b	(.f32 uy (.f32 2 (PI.f32)))

Compiler

Compiled 264 to 160 computations (39.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite106.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1782×	`rational.json-5`
1780×	`exponential.json-3`
1780×	`rational.json-1`
1780×	`rational.json-2`
1780×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	83	21
2	249	21
3	898	21
4	3565	21

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

Outputs

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

simplify222.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1246×	`rational.json-simplify-49`
908×	`rational.json-simplify-47`
896×	`rational.json-simplify-2`
796×	`rational.json-simplify-1`
776×	`rational.json-simplify-111`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	474
1	42	474
2	94	354
3	246	354
4	961	354
5	2158	354
6	5465	354
7	7227	354

Stop Event

1×	node limit

Counts

18 → 15

Calls

Call 1

Inputs
(*.f32 1/2 (PI.f32))
(+.f32 (.f32 -2 (.f32 uy (PI.f32))) (*.f32 1/2 (PI.f32)))
(+.f32 (.f32 -2 (.f32 uy (PI.f32))) (*.f32 1/2 (PI.f32)))
(+.f32 (.f32 -2 (.f32 uy (PI.f32))) (*.f32 1/2 (PI.f32)))
(.f32 -2 (.f32 uy (PI.f32)))
(+.f32 (.f32 -2 (.f32 uy (PI.f32))) (*.f32 1/2 (PI.f32)))
(+.f32 (.f32 -2 (.f32 uy (PI.f32))) (*.f32 1/2 (PI.f32)))
(+.f32 (.f32 -2 (.f32 uy (PI.f32))) (*.f32 1/2 (PI.f32)))
(.f32 -2 (.f32 uy (PI.f32)))
(+.f32 (.f32 -2 (.f32 uy (PI.f32))) (*.f32 1/2 (PI.f32)))
(+.f32 (.f32 -2 (.f32 uy (PI.f32))) (*.f32 1/2 (PI.f32)))
(+.f32 (.f32 -2 (.f32 uy (PI.f32))) (*.f32 1/2 (PI.f32)))
(+.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 -2 uy))) 0)
(+.f32 0 (.f32 (PI.f32) (+.f32 1/2 (.f32 -2 uy))))
(-.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 -2 uy))) 0)
(/.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 -2 uy))) 1)
(/.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 -2 uy))) (/.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 -2 uy))) (.f32 (PI.f32) (+.f32 1/2 (.f32 -2 uy)))))
(pow.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 -2 uy))) 1)

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

localize285.0ms (0.9%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 220 to 115 computations (47.7% saved)

series10.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	uy	@	inf	(.f32 uy (.f32 (PI.f32) yi))
1.0ms	yi	@	inf	(.f32 uy (.f32 (PI.f32) yi))
1.0ms	uy	@	-inf	(.f32 uy (.f32 (PI.f32) yi))
1.0ms	yi	@	0	(.f32 uy (.f32 (PI.f32) yi))
0.0ms	yi	@	-inf	(.f32 uy (.f32 (PI.f32) yi))

rewrite111.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1976×	`rational.json-5`
1974×	`rational.json-1`
1974×	`rational.json-2`
1974×	`rational.json-4`
1974×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	70	24
2	245	24
3	916	24
4	3747	24

Stop Event

1×	node limit

Counts

2 → 12

Calls

Call 1

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

Outputs

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

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

simplify145.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1588×	`rational.json-simplify-47`
1328×	`rational.json-simplify-43`
954×	`rational.json-simplify-111`
914×	`rational.json-simplify-55`
912×	`rational.json-simplify-76`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	612
1	53	612
2	175	612
3	661	612
4	3381	612
5	6174	612

Stop Event

1×	node limit

Counts

48 → 17

Calls

Call 1

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

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

localize629.0ms (2.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (*.f32 maxCos maxCos)))
✓	0.2b	(.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 (+.f32 uy uy))))) yi)
✓	0.3b	(*.f32 (PI.f32) (-.f32 1 (+.f32 uy uy)))
✓	14.1b	(-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 (+.f32 uy uy))))

Compiler

Compiled 265 to 143 computations (46% saved)

series8.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	yi	@	0	(.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 (+.f32 uy uy))))) yi)
1.0ms	uy	@	-inf	(.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 (+.f32 uy uy))))) yi)
1.0ms	yi	@	inf	(.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 (+.f32 uy uy))))) yi)
1.0ms	uy	@	inf	(.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 (+.f32 uy uy))))) yi)
1.0ms	uy	@	0	(-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 (+.f32 uy uy))))

rewrite167.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`rational.json-simplify-47`
712×	`rational.json-simplify-1`
698×	`rational.json-5`
696×	`exponential.json-3`
696×	`rational.json-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	81
1	120	81
2	396	79
3	1534	61
4	6086	61

Stop Event

1×	node limit

Counts

3 → 73

Calls

Call 1

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

Outputs

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

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

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

simplify471.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1180×	`rational.json-simplify-2`
1014×	`rational.json-simplify-41`
748×	`rational.json-simplify-48`
652×	`rational.json-simplify-43`
624×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	192	2961
1	445	2925
2	1053	2925
3	2983	2631
4	6995	2631

Stop Event

1×	node limit

Counts

121 → 106

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)))
(PI.f32)
(+.f32 (.f32 -2 (.f32 uy (PI.f32))) (PI.f32))
(+.f32 (.f32 -2 (.f32 uy (PI.f32))) (PI.f32))
(+.f32 (.f32 -2 (.f32 uy (PI.f32))) (PI.f32))
(.f32 -2 (.f32 uy (PI.f32)))
(+.f32 (.f32 -2 (.f32 uy (PI.f32))) (PI.f32))
(+.f32 (.f32 -2 (.f32 uy (PI.f32))) (PI.f32))
(+.f32 (.f32 -2 (.f32 uy (PI.f32))) (PI.f32))
(.f32 -2 (.f32 uy (PI.f32)))
(+.f32 (.f32 -2 (.f32 uy (PI.f32))) (PI.f32))
(+.f32 (.f32 -2 (.f32 uy (PI.f32))) (PI.f32))
(+.f32 (.f32 -2 (.f32 uy (PI.f32))) (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 (PI.f32) (.f32 (-.f32 1 (*.f32 2 uy)) (PI.f32)))))
(.f32 yi (sin.f32 (-.f32 (PI.f32) (.f32 (-.f32 1 (*.f32 2 uy)) (PI.f32)))))
(.f32 yi (sin.f32 (-.f32 (PI.f32) (.f32 (-.f32 1 (*.f32 2 uy)) (PI.f32)))))
(.f32 yi (sin.f32 (-.f32 (PI.f32) (.f32 (-.f32 1 (*.f32 2 uy)) (PI.f32)))))
(.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (+.f32 1 (*.f32 -2 uy)) (PI.f32)))) yi)
(.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (+.f32 1 (*.f32 -2 uy)) (PI.f32)))) yi)
(.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (+.f32 1 (*.f32 -2 uy)) (PI.f32)))) yi)
(.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (+.f32 1 (*.f32 -2 uy)) (PI.f32)))) yi)
(.f32 yi (sin.f32 (-.f32 (PI.f32) (.f32 (-.f32 1 (*.f32 2 uy)) (PI.f32)))))
(.f32 yi (sin.f32 (-.f32 (PI.f32) (.f32 (-.f32 1 (*.f32 2 uy)) (PI.f32)))))
(.f32 yi (sin.f32 (-.f32 (PI.f32) (.f32 (-.f32 1 (*.f32 2 uy)) (PI.f32)))))
(.f32 yi (sin.f32 (-.f32 (PI.f32) (.f32 (-.f32 1 (*.f32 2 uy)) (PI.f32)))))
(.f32 yi (sin.f32 (-.f32 (PI.f32) (.f32 (-.f32 1 (*.f32 2 uy)) (PI.f32)))))
(.f32 yi (sin.f32 (-.f32 (PI.f32) (.f32 (-.f32 1 (*.f32 2 uy)) (PI.f32)))))
(.f32 yi (sin.f32 (-.f32 (PI.f32) (.f32 (-.f32 1 (*.f32 2 uy)) (PI.f32)))))
(.f32 yi (sin.f32 (-.f32 (PI.f32) (.f32 (-.f32 1 (*.f32 2 uy)) (PI.f32)))))
(.f32 yi (sin.f32 (-.f32 (PI.f32) (.f32 (-.f32 1 (*.f32 2 uy)) (PI.f32)))))
(.f32 yi (sin.f32 (-.f32 (PI.f32) (.f32 (-.f32 1 (*.f32 2 uy)) (PI.f32)))))
(.f32 yi (sin.f32 (-.f32 (PI.f32) (.f32 (-.f32 1 (*.f32 2 uy)) (PI.f32)))))
(.f32 yi (sin.f32 (-.f32 (PI.f32) (.f32 (-.f32 1 (*.f32 2 uy)) (PI.f32)))))
(+.f32 (PI.f32) (*.f32 (PI.f32) (+.f32 uy (+.f32 uy -1))))
(+.f32 1 (-.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1))
(+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 0)
(+.f32 0 (*.f32 (PI.f32) (+.f32 uy uy)))
(+.f32 (*.f32 (PI.f32) (+.f32 uy (+.f32 uy -1))) (PI.f32))
(+.f32 (-.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1) 1)
(+.f32 (-.f32 (*.f32 (PI.f32) (+.f32 uy (+.f32 uy -1))) 1) (-.f32 (PI.f32) -1))
(+.f32 (-.f32 (PI.f32) -1) (-.f32 (*.f32 (PI.f32) (+.f32 uy (+.f32 uy -1))) 1))
(*.f32 (PI.f32) (+.f32 uy uy))
(.f32 1 (.f32 (PI.f32) (+.f32 uy uy)))
(*.f32 (+.f32 uy uy) (PI.f32))
(.f32 (.f32 (PI.f32) (+.f32 uy uy)) 1)
(.f32 (.f32 (PI.f32) (+.f32 uy uy)) (/.f32 (.f32 (PI.f32) (.f32 uy 4)) (.f32 (PI.f32) (.f32 uy 4))))
(.f32 (.f32 (PI.f32) (-.f32 (neg.f32 uy) uy)) -1)
(.f32 (.f32 (PI.f32) (.f32 (+.f32 uy uy) (.f32 (PI.f32) (+.f32 uy uy)))) (/.f32 1 (*.f32 (PI.f32) (+.f32 uy uy))))
(.f32 (.f32 (PI.f32) (.f32 (+.f32 uy uy) (.f32 (PI.f32) (+.f32 uy uy)))) (.f32 (/.f32 1 (.f32 (PI.f32) (+.f32 uy uy))) 1))
(.f32 (/.f32 1 (.f32 (PI.f32) (+.f32 uy uy))) (.f32 (PI.f32) (.f32 (+.f32 uy uy) (*.f32 (PI.f32) (+.f32 uy uy)))))
(.f32 (.f32 (.f32 (PI.f32) (+.f32 uy uy)) (.f32 (.f32 (PI.f32) (+.f32 uy uy)) (.f32 (PI.f32) (.f32 (+.f32 uy uy) (.f32 (PI.f32) (+.f32 uy uy)))))) (/.f32 (/.f32 1 (.f32 (PI.f32) (+.f32 uy uy))) (.f32 (PI.f32) (.f32 (+.f32 uy uy) (.f32 (PI.f32) (+.f32 uy uy))))))
(/.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1)
(/.f32 (.f32 (PI.f32) (+.f32 uy uy)) (/.f32 (.f32 (PI.f32) (.f32 uy 4)) (.f32 (PI.f32) (*.f32 uy 4))))
(/.f32 (*.f32 (PI.f32) (-.f32 (neg.f32 uy) uy)) -1)
(pow.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1)
(neg.f32 (*.f32 (PI.f32) (-.f32 (neg.f32 uy) uy)))
(neg.f32 (+.f32 (*.f32 (PI.f32) (-.f32 1 (+.f32 uy uy))) (neg.f32 (PI.f32))))
(+.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 (neg.f32 uy) uy)))
(+.f32 1 (-.f32 -1 (*.f32 (PI.f32) (+.f32 uy (+.f32 uy -1)))))
(+.f32 (*.f32 (PI.f32) (-.f32 1 (+.f32 uy uy))) 0)
(+.f32 0 (*.f32 (PI.f32) (-.f32 1 (+.f32 uy uy))))
(+.f32 (*.f32 (PI.f32) (-.f32 (neg.f32 uy) uy)) (PI.f32))
(+.f32 (-.f32 -1 (*.f32 (PI.f32) (+.f32 uy (+.f32 uy -1)))) 1)
(+.f32 (-.f32 -1 (*.f32 (PI.f32) (+.f32 uy uy))) (-.f32 (PI.f32) -1))
(+.f32 (-.f32 (PI.f32) -1) (-.f32 -1 (*.f32 (PI.f32) (+.f32 uy uy))))
(-.f32 (PI.f32) (*.f32 (PI.f32) (+.f32 uy uy)))
(-.f32 (PI.f32) (+.f32 (*.f32 (PI.f32) (+.f32 1 (+.f32 uy uy))) (neg.f32 (PI.f32))))
(-.f32 (*.f32 (PI.f32) (-.f32 1 (+.f32 uy uy))) 0)
(-.f32 0 (*.f32 (PI.f32) (+.f32 uy (+.f32 uy -1))))
(-.f32 0 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) (neg.f32 (PI.f32))))
(-.f32 0 (+.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) (neg.f32 (PI.f32))) 0))
(-.f32 0 (+.f32 (PI.f32) (-.f32 (.f32 (PI.f32) (+.f32 uy uy)) (.f32 (PI.f32) 2))))
(-.f32 (*.f32 (PI.f32) (-.f32 (neg.f32 uy) uy)) (neg.f32 (PI.f32)))
(-.f32 (neg.f32 (PI.f32)) (-.f32 (.f32 (PI.f32) (+.f32 uy uy)) (.f32 (PI.f32) 2)))
(-.f32 (neg.f32 (PI.f32)) (+.f32 (*.f32 (PI.f32) (+.f32 uy (+.f32 uy -1))) (neg.f32 (PI.f32))))
(-.f32 (neg.f32 (PI.f32)) (+.f32 (-.f32 (.f32 (PI.f32) (+.f32 uy uy)) (.f32 (PI.f32) 2)) 0))
(-.f32 (neg.f32 (PI.f32)) (+.f32 0 (-.f32 (.f32 (PI.f32) (+.f32 uy uy)) (.f32 (PI.f32) 2))))
(-.f32 (*.f32 (PI.f32) (+.f32 1 (-.f32 1 (+.f32 uy uy)))) (PI.f32))
(-.f32 (*.f32 (PI.f32) (+.f32 1 (-.f32 1 (+.f32 uy uy)))) (-.f32 (-.f32 (PI.f32) (neg.f32 (PI.f32))) (PI.f32)))
(-.f32 (-.f32 (neg.f32 (PI.f32)) (.f32 (PI.f32) (+.f32 uy uy))) (.f32 (neg.f32 (PI.f32)) 2))
(-.f32 (-.f32 (neg.f32 (PI.f32)) (.f32 (PI.f32) (+.f32 uy uy))) (neg.f32 (.f32 (PI.f32) 2)))
(-.f32 (-.f32 (PI.f32) (neg.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 1 (+.f32 uy uy))))
(-.f32 (+.f32 (neg.f32 (PI.f32)) (*.f32 (PI.f32) (+.f32 1 (-.f32 1 (+.f32 uy uy))))) 0)
(-.f32 (+.f32 (*.f32 (PI.f32) (-.f32 1 (+.f32 uy uy))) (neg.f32 (PI.f32))) (neg.f32 (PI.f32)))
(-.f32 (+.f32 (.f32 (PI.f32) (-.f32 (neg.f32 uy) uy)) (neg.f32 (PI.f32))) (neg.f32 (.f32 (PI.f32) 2)))
(-.f32 (-.f32 0 (-.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1)) (-.f32 1 (PI.f32)))
(-.f32 (-.f32 0 (-.f32 (*.f32 (PI.f32) (+.f32 uy (+.f32 uy -1))) 1)) 1)
(-.f32 (-.f32 0 (-.f32 -1 (PI.f32))) (-.f32 (*.f32 (PI.f32) (+.f32 uy uy)) -1))
(-.f32 (-.f32 (PI.f32) (-.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1)) 1)
(-.f32 (-.f32 (PI.f32) (-.f32 (*.f32 (PI.f32) (+.f32 uy (+.f32 uy -1))) 1)) (-.f32 (PI.f32) -1))
(-.f32 (-.f32 (*.f32 (PI.f32) (-.f32 (neg.f32 uy) uy)) (-.f32 -1 (PI.f32))) 1)
(/.f32 (*.f32 (PI.f32) (-.f32 1 (+.f32 uy uy))) 1)
(/.f32 (.f32 (PI.f32) (-.f32 1 (+.f32 uy uy))) (/.f32 (.f32 (PI.f32) (+.f32 uy (+.f32 uy -1))) (*.f32 (PI.f32) (+.f32 uy (+.f32 uy -1)))))
(/.f32 (*.f32 (PI.f32) (+.f32 uy (+.f32 uy -1))) -1)
(pow.f32 (*.f32 (PI.f32) (-.f32 1 (+.f32 uy uy))) 1)
(neg.f32 (*.f32 (PI.f32) (+.f32 uy (+.f32 uy -1))))
(neg.f32 (+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) (neg.f32 (PI.f32))))
(+.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) yi) 0)
(+.f32 0 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) yi))
(-.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) yi) 0)
(-.f32 0 (neg.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) yi)))
(-.f32 (-.f32 0 (-.f32 -1 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) yi))) 1)
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) yi) 1)
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) yi) (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) yi) (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) yi)))
(pow.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) yi) 1)
(neg.f32 (neg.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) yi)))

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

localize547.0ms (1.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f32 2 (*.f32 uy (PI.f32)))
✓	0.3b	(.f32 (.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32))) (/.f32 2 (*.f32 uy (PI.f32))))
	0.4b	(*.f32 uy (PI.f32))
✓	0.5b	(.f32 (.f32 uy (PI.f32)) (*.f32 uy (PI.f32)))

Compiler

Compiled 290 to 136 computations (53.1% saved)

series4.0ms (0%)

Counts

3 → 24

Calls

9 calls:

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

rewrite276.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1208×	`rational.json-simplify-47`
872×	`rational.json-simplify-55`
824×	`rational.json-simplify-58`
808×	`rational.json-simplify-43`
528×	`rational.json-5`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	81
1	90	81
2	309	53
3	1195	53
4	5580	53

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

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

Outputs

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

simplify221.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1352×	`rational.json-simplify-47`
1190×	`rational.json-simplify-111`
1190×	`rational.json-simplify-54`
910×	`rational.json-simplify-43`
612×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	227	2484
1	535	2420
2	1076	2420
3	3160	2412

Stop Event

1×	node limit

Counts

120 → 109

Calls

Call 1

Inputs
(*.f32 (pow.f32 uy 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 uy 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 uy 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 uy 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 uy 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 uy 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 uy 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 uy 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 uy 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 uy 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 uy 2) (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 uy 2) (pow.f32 (PI.f32) 2))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(+.f32 (.f32 uy (.f32 uy (*.f32 (PI.f32) (PI.f32)))) 0)
(+.f32 0 (.f32 uy (.f32 uy (*.f32 (PI.f32) (PI.f32)))))
(-.f32 (.f32 uy (.f32 uy (*.f32 (PI.f32) (PI.f32)))) 0)
(-.f32 0 (neg.f32 (.f32 uy (.f32 uy (*.f32 (PI.f32) (PI.f32))))))
(-.f32 (-.f32 0 (-.f32 -1 (.f32 uy (.f32 uy (*.f32 (PI.f32) (PI.f32)))))) 1)
(/.f32 (.f32 uy (.f32 uy (*.f32 (PI.f32) (PI.f32)))) 1)
(/.f32 (.f32 uy (.f32 uy (.f32 (PI.f32) (PI.f32)))) (/.f32 (.f32 uy (PI.f32)) (*.f32 uy (PI.f32))))
(pow.f32 (.f32 uy (.f32 uy (*.f32 (PI.f32) (PI.f32)))) 1)
(neg.f32 (neg.f32 (.f32 uy (.f32 uy (*.f32 (PI.f32) (PI.f32))))))
(fabs.f32 (.f32 uy (.f32 uy (*.f32 (PI.f32) (PI.f32)))))
(fabs.f32 (neg.f32 (.f32 uy (.f32 uy (*.f32 (PI.f32) (PI.f32))))))
(fabs.f32 (/.f32 (.f32 uy (.f32 uy (.f32 (PI.f32) (PI.f32)))) (fabs.f32 (/.f32 (.f32 uy (PI.f32)) (*.f32 uy (PI.f32))))))
(fabs.f32 (/.f32 (.f32 uy (.f32 uy (.f32 (PI.f32) (PI.f32)))) (neg.f32 (/.f32 (.f32 uy (PI.f32)) (*.f32 uy (PI.f32))))))
(fabs.f32 (.f32 uy (.f32 (PI.f32) (*.f32 (PI.f32) (fabs.f32 uy)))))
(fabs.f32 (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (fabs.f32 uy))) uy))
(fabs.f32 (.f32 (fabs.f32 (.f32 uy (PI.f32))) (*.f32 uy (PI.f32))))
(fabs.f32 (.f32 (fabs.f32 uy) (.f32 uy (*.f32 (PI.f32) (PI.f32)))))
(fabs.f32 (.f32 (.f32 uy (PI.f32)) (fabs.f32 (*.f32 uy (PI.f32)))))
(fabs.f32 (neg.f32 (/.f32 (.f32 uy (.f32 uy (.f32 (PI.f32) (PI.f32)))) (fabs.f32 (/.f32 (.f32 uy (PI.f32)) (*.f32 uy (PI.f32)))))))
(fabs.f32 (.f32 uy (neg.f32 (.f32 uy (*.f32 (PI.f32) (PI.f32))))))
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Outputs
(*.f32 (pow.f32 uy 2) (pow.f32 (PI.f32) 2))
(pow.f32 (*.f32 uy (PI.f32)) 2)
(*.f32 (pow.f32 uy 2) (pow.f32 (PI.f32) 2))
(pow.f32 (*.f32 uy (PI.f32)) 2)
(*.f32 (pow.f32 uy 2) (pow.f32 (PI.f32) 2))
(pow.f32 (*.f32 uy (PI.f32)) 2)
(*.f32 (pow.f32 uy 2) (pow.f32 (PI.f32) 2))
(pow.f32 (*.f32 uy (PI.f32)) 2)
(*.f32 (pow.f32 uy 2) (pow.f32 (PI.f32) 2))
(pow.f32 (*.f32 uy (PI.f32)) 2)
(*.f32 (pow.f32 uy 2) (pow.f32 (PI.f32) 2))
(pow.f32 (*.f32 uy (PI.f32)) 2)
(*.f32 (pow.f32 uy 2) (pow.f32 (PI.f32) 2))
(pow.f32 (*.f32 uy (PI.f32)) 2)
(*.f32 (pow.f32 uy 2) (pow.f32 (PI.f32) 2))
(pow.f32 (*.f32 uy (PI.f32)) 2)
(*.f32 (pow.f32 uy 2) (pow.f32 (PI.f32) 2))
(pow.f32 (*.f32 uy (PI.f32)) 2)
(*.f32 (pow.f32 uy 2) (pow.f32 (PI.f32) 2))
(pow.f32 (*.f32 uy (PI.f32)) 2)
(*.f32 (pow.f32 uy 2) (pow.f32 (PI.f32) 2))
(pow.f32 (*.f32 uy (PI.f32)) 2)
(*.f32 (pow.f32 uy 2) (pow.f32 (PI.f32) 2))
(pow.f32 (*.f32 uy (PI.f32)) 2)
(.f32 2 (.f32 uy (PI.f32)))
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(.f32 uy (.f32 2 (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
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(-.f32 (.f32 uy (.f32 uy (*.f32 (PI.f32) (PI.f32)))) 0)
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(/.f32 (.f32 uy (.f32 uy (*.f32 (PI.f32) (PI.f32)))) 1)
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(/.f32 (.f32 uy (.f32 uy (.f32 (PI.f32) (PI.f32)))) (/.f32 (.f32 uy (PI.f32)) (*.f32 uy (PI.f32))))
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(pow.f32 (.f32 uy (.f32 uy (*.f32 (PI.f32) (PI.f32)))) 1)
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(/.f32 2 (*.f32 uy (PI.f32)))
(.f32 (.f32 (.f32 (/.f32 2 (.f32 uy (PI.f32))) (/.f32 2 (.f32 uy (PI.f32)))) (.f32 (/.f32 2 (.f32 uy (PI.f32))) (/.f32 2 (.f32 uy (PI.f32))))) (/.f32 (.f32 (/.f32 1 (/.f32 2 (.f32 uy (PI.f32)))) 1) (.f32 (/.f32 2 (.f32 uy (PI.f32))) (/.f32 2 (*.f32 uy (PI.f32))))))
(/.f32 2 (*.f32 uy (PI.f32)))
(.f32 (.f32 (.f32 (.f32 (/.f32 2 (.f32 uy (PI.f32))) (/.f32 2 (.f32 uy (PI.f32)))) (.f32 (/.f32 2 (.f32 uy (PI.f32))) (/.f32 2 (.f32 uy (PI.f32))))) (.f32 (.f32 (/.f32 2 (.f32 uy (PI.f32))) (/.f32 2 (.f32 uy (PI.f32)))) (.f32 (/.f32 2 (.f32 uy (PI.f32))) (/.f32 2 (.f32 uy (PI.f32)))))) (/.f32 (/.f32 (/.f32 1 (/.f32 2 (.f32 uy (PI.f32)))) (.f32 (/.f32 2 (.f32 uy (PI.f32))) (/.f32 2 (.f32 uy (PI.f32))))) (.f32 (.f32 (/.f32 2 (.f32 uy (PI.f32))) (/.f32 2 (.f32 uy (PI.f32)))) (.f32 (/.f32 2 (.f32 uy (PI.f32))) (/.f32 2 (*.f32 uy (PI.f32)))))))
(/.f32 2 (*.f32 uy (PI.f32)))
(pow.f32 (/.f32 2 (*.f32 uy (PI.f32))) 1)
(/.f32 2 (*.f32 uy (PI.f32)))
(neg.f32 (neg.f32 (/.f32 2 (*.f32 uy (PI.f32)))))
(/.f32 2 (*.f32 uy (PI.f32)))

localize646.0ms (2.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3)
✓	0.6b	(.f32 (pow.f32 (.f32 uy (PI.f32)) 5) 4/15)
	0.8b	(pow.f32 (*.f32 uy (PI.f32)) 3)
✓	1.0b	(pow.f32 (*.f32 uy (PI.f32)) 5)

Compiler

Compiled 375 to 203 computations (45.9% saved)

series7.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	uy	@	0	(.f32 (pow.f32 (.f32 uy (PI.f32)) 5) 4/15)
1.0ms	uy	@	0	(pow.f32 (*.f32 uy (PI.f32)) 5)
1.0ms	uy	@	-inf	(pow.f32 (*.f32 uy (PI.f32)) 5)
1.0ms	uy	@	inf	(.f32 (pow.f32 (.f32 uy (PI.f32)) 5) 4/15)
1.0ms	uy	@	inf	(pow.f32 (*.f32 uy (PI.f32)) 5)

rewrite151.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

916×	`rational.json-simplify-47`
840×	`rational.json-simplify-49`
718×	`rational.json-simplify-58`
644×	`rational.json-simplify-50`
604×	`rational.json-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	57
1	119	57
2	365	57
3	1317	57
4	5342	57

Stop Event

1×	node limit

Counts

3 → 41

Calls

Call 1

Inputs
(pow.f32 (*.f32 uy (PI.f32)) 5)
(.f32 (pow.f32 (.f32 uy (PI.f32)) 5) 4/15)
(.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (pow.f32 (*.f32 uy (PI.f32)) 5) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 (*.f32 uy (PI.f32)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (pow.f32 (*.f32 uy (PI.f32)) 5) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (pow.f32 (*.f32 uy (PI.f32)) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 0 (-.f32 -1 (pow.f32 (*.f32 uy (PI.f32)) 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 uy (PI.f32)) 5) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 uy (PI.f32)) 5) (/.f32 (pow.f32 (*.f32 uy (PI.f32)) 5) (pow.f32 (*.f32 uy (PI.f32)) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (*.f32 uy (PI.f32)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (*.f32 uy (PI.f32)) 5) (pow.f32 (*.f32 uy (PI.f32)) 5)) (pow.f32 (*.f32 uy (PI.f32)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (PI.f32) 5) (pow.f32 uy 5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 uy uy))) 5) (/.f32 1 (pow.f32 (*.f32 uy (PI.f32)) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 uy uy))) 5) (*.f32 (/.f32 1 (pow.f32 (*.f32 uy (PI.f32)) 5)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 uy uy))) 5) (pow.f32 (/.f32 1 (*.f32 uy (PI.f32))) 5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 uy uy))) 5) (/.f32 (/.f32 (pow.f32 (*.f32 uy (PI.f32)) 5) (pow.f32 (*.f32 uy (PI.f32)) 5)) (pow.f32 (*.f32 uy (PI.f32)) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (pow.f32 (*.f32 uy (PI.f32)) 5)) (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 uy uy))) 5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 uy uy))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 uy uy)))) 5) (/.f32 (/.f32 1 (pow.f32 (*.f32 uy (PI.f32)) 5)) (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 uy uy))) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 uy uy))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 uy uy)))) 5) (/.f32 (*.f32 (/.f32 1 (pow.f32 (*.f32 uy (PI.f32)) 5)) 1) (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 uy uy))) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 uy uy))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 uy uy)))) 5) (/.f32 (pow.f32 (/.f32 1 (*.f32 uy (PI.f32))) 5) (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 uy uy))) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 uy uy))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 uy uy)))) 5) (pow.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 uy uy))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 uy uy)))) 5)) (/.f32 (/.f32 (/.f32 1 (pow.f32 (*.f32 uy (PI.f32)) 5)) (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 uy uy))) 5)) (pow.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 uy uy))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 uy uy)))) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (*.f32 uy (PI.f32)) 5) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (*.f32 uy (PI.f32)) 5) (/.f32 (pow.f32 (*.f32 uy (PI.f32)) 5) (pow.f32 (*.f32 uy (PI.f32)) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (pow.f32 (*.f32 uy (PI.f32)) 5)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 (*.f32 uy (PI.f32)) 5) 4/15) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (pow.f32 (*.f32 uy (PI.f32)) 5) 4/15))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (pow.f32 (*.f32 uy (PI.f32)) 5) 4/15) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (*.f32 (pow.f32 (*.f32 uy (PI.f32)) 5) 4/15)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 0 (-.f32 -1 (*.f32 (pow.f32 (*.f32 uy (PI.f32)) 5) 4/15))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (*.f32 uy (PI.f32)) 5) 4/15) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (*.f32 uy (PI.f32)) 5) 4/15) (/.f32 (*.f32 (pow.f32 (*.f32 uy (PI.f32)) 5) 4/15) (*.f32 (pow.f32 (*.f32 uy (PI.f32)) 5) 4/15)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (*.f32 uy (PI.f32)) 5) 4/15) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (*.f32 (pow.f32 (*.f32 uy (PI.f32)) 5) 4/15)))))))

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

simplify204.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1340×	`rational.json-simplify-2`
904×	`rational.json-simplify-54`
866×	`rational.json-simplify-50`
812×	`rational.json-simplify-47`
724×	`rational.json-simplify-43`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	94	1543
1	191	1515
2	500	1515
3	1932	1515
4	5671	1515

Stop Event

1×	node limit

Counts

77 → 56

Calls

Call 1

Inputs
(*.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5))
(*.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5))
(*.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5))
(*.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5))
(*.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5))
(*.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5))
(*.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5))
(*.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5))
(*.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5))
(*.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5))
(*.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5))
(*.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5))
(.f32 4/15 (.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5)))
(.f32 4/15 (.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5)))
(.f32 4/15 (.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5)))
(.f32 4/15 (.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5)))
(.f32 4/15 (.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5)))
(.f32 4/15 (.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5)))
(.f32 4/15 (.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5)))
(.f32 4/15 (.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5)))
(.f32 4/15 (.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5)))
(.f32 4/15 (.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5)))
(.f32 4/15 (.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5)))
(.f32 4/15 (.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5)))
(.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3)))
(.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3)))
(.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3)))
(.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3)))
(.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3)))
(.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3)))
(.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3)))
(.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3)))
(.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3)))
(.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3)))
(.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3)))
(.f32 -4/3 (.f32 (pow.f32 uy 3) (pow.f32 (PI.f32) 3)))
(+.f32 (pow.f32 (*.f32 uy (PI.f32)) 5) 0)
(+.f32 0 (pow.f32 (*.f32 uy (PI.f32)) 5))
(-.f32 (pow.f32 (*.f32 uy (PI.f32)) 5) 0)
(-.f32 0 (neg.f32 (pow.f32 (*.f32 uy (PI.f32)) 5)))
(-.f32 (-.f32 0 (-.f32 -1 (pow.f32 (*.f32 uy (PI.f32)) 5))) 1)
(.f32 (pow.f32 (.f32 uy (PI.f32)) 5) 1)
(.f32 (pow.f32 (.f32 uy (PI.f32)) 5) (/.f32 (pow.f32 (.f32 uy (PI.f32)) 5) (pow.f32 (.f32 uy (PI.f32)) 5)))
(.f32 1 (pow.f32 (.f32 uy (PI.f32)) 5))
(.f32 (/.f32 (pow.f32 (.f32 uy (PI.f32)) 5) (pow.f32 (.f32 uy (PI.f32)) 5)) (pow.f32 (.f32 uy (PI.f32)) 5))
(*.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5))
(*.f32 (pow.f32 (PI.f32) 5) (pow.f32 uy 5))
(.f32 (pow.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 uy uy))) 5) (/.f32 1 (pow.f32 (*.f32 uy (PI.f32)) 5)))
(.f32 (pow.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 uy uy))) 5) (.f32 (/.f32 1 (pow.f32 (.f32 uy (PI.f32)) 5)) 1))
(.f32 (pow.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 uy uy))) 5) (pow.f32 (/.f32 1 (*.f32 uy (PI.f32))) 5))
(.f32 (pow.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 uy uy))) 5) (/.f32 (/.f32 (pow.f32 (.f32 uy (PI.f32)) 5) (pow.f32 (.f32 uy (PI.f32)) 5)) (pow.f32 (*.f32 uy (PI.f32)) 5)))
(.f32 (/.f32 1 (pow.f32 (.f32 uy (PI.f32)) 5)) (pow.f32 (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 uy uy))) 5))
(.f32 (pow.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 uy uy))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 uy uy)))) 5) (/.f32 (/.f32 1 (pow.f32 (.f32 uy (PI.f32)) 5)) (pow.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 uy uy))) 5)))
(.f32 (pow.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 uy uy))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 uy uy)))) 5) (/.f32 (.f32 (/.f32 1 (pow.f32 (.f32 uy (PI.f32)) 5)) 1) (pow.f32 (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 uy uy))) 5)))
(.f32 (pow.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 uy uy))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 uy uy)))) 5) (/.f32 (pow.f32 (/.f32 1 (.f32 uy (PI.f32))) 5) (pow.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 uy uy))) 5)))
(.f32 (.f32 (pow.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 uy uy))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 uy uy)))) 5) (pow.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 uy uy))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 uy uy)))) 5)) (/.f32 (/.f32 (/.f32 1 (pow.f32 (.f32 uy (PI.f32)) 5)) (pow.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 uy uy))) 5)) (pow.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 uy uy))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 uy uy)))) 5)))
(/.f32 (pow.f32 (*.f32 uy (PI.f32)) 5) 1)
(/.f32 (pow.f32 (.f32 uy (PI.f32)) 5) (/.f32 (pow.f32 (.f32 uy (PI.f32)) 5) (pow.f32 (*.f32 uy (PI.f32)) 5)))
(neg.f32 (neg.f32 (pow.f32 (*.f32 uy (PI.f32)) 5)))
(+.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 5) 4/15) 0)
(+.f32 0 (.f32 (pow.f32 (.f32 uy (PI.f32)) 5) 4/15))
(-.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 5) 4/15) 0)
(-.f32 0 (neg.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 5) 4/15)))
(-.f32 (-.f32 0 (-.f32 -1 (.f32 (pow.f32 (.f32 uy (PI.f32)) 5) 4/15))) 1)
(/.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 5) 4/15) 1)
(/.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 5) 4/15) (/.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 5) 4/15) (.f32 (pow.f32 (.f32 uy (PI.f32)) 5) 4/15)))
(pow.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 5) 4/15) 1)
(neg.f32 (neg.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 5) 4/15)))
(+.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3) 0)
(+.f32 0 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3))
(-.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3) 0)
(-.f32 0 (neg.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3)))
(-.f32 (-.f32 0 (-.f32 -1 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3))) 1)
(/.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3) 1)
(/.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3) (/.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3) (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3)))
(pow.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3) 1)
(neg.f32 (neg.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3)))

Outputs
(*.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5))
(pow.f32 (*.f32 uy (PI.f32)) 5)
(*.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5))
(pow.f32 (*.f32 uy (PI.f32)) 5)
(*.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5))
(pow.f32 (*.f32 uy (PI.f32)) 5)
(*.f32 (pow.f32 uy 5) (pow.f32 (PI.f32) 5))
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(.f32 (pow.f32 (.f32 (.f32 uy (.f32 (.f32 uy (PI.f32)) (PI.f32))) (/.f32 1 (.f32 uy (PI.f32)))) 5) (/.f32 (pow.f32 (.f32 uy (PI.f32)) 5) (pow.f32 (.f32 uy (PI.f32)) 5)))
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(.f32 (/.f32 (pow.f32 (.f32 uy (PI.f32)) 5) (pow.f32 (.f32 uy (PI.f32)) 5)) (pow.f32 (.f32 (.f32 uy (.f32 (PI.f32) (.f32 uy (PI.f32)))) (/.f32 1 (.f32 uy (PI.f32)))) 5))
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(pow.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 5) 4/15) 1)
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(-.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3) 0)
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(-.f32 (-.f32 0 (-.f32 -1 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3))) 1)
(.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3))
(/.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3) 1)
(.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3))
(/.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3) (/.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3) (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3)))
(.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3))
(pow.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3) 1)
(.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3))
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eval1.0s (3.4%)

Compiler: Compiled 31837 to 17971 computations (43.6% saved)

prune320.0ms (1.1%)

Pruning

38 alts after pruning (33 fresh and 5 done)

	Pruned	Kept	Total
New	568	21	589
Fresh	8	12	20
Picked	1	0	1
Done	2	5	7
Total	579	38	617

Error

0.1b

Counts

617 → 38

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (.f32 uy 2))))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (.f32 ux zi))))
✓	0.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (sin.f32 (-.f32 (/.f32 (PI.f32) 2) (.f32 2 (.f32 uy (PI.f32))))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi))))
	0.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (sin.f32 (-.f32 (PI.f32) (-.f32 (/.f32 (PI.f32) 2) (.f32 (PI.f32) (+.f32 uy uy))))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (.f32 ux zi))))
	3.1b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 -2 uy)))) xi) (.f32 (.f32 uy (.f32 2 (PI.f32))) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi))))
✓	0.2b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 -2 uy)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi))))
	0.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 (+.f32 uy (+.f32 uy 1)) -1))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (.f32 ux zi))))
	1.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 2 (.f32 (PI.f32) (.f32 yi uy))) (+.f32 (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 5) 4/15)) (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3)))))) (.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi))))
✓	1.8b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 yi (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)))))) (.f32 (-.f32 1 ux) (.f32 maxCos (.f32 ux zi))))
	4.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (-.f32 (-.f32 0 (-.f32 -1 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))))) 1) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi))))
	4.2b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (+.f32 (-.f32 -1 (neg.f32 (.f32 2 (.f32 uy (PI.f32))))) 1)) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi))))
	4.8b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 (PI.f32) (-.f32 (+.f32 -1 (+.f32 uy uy)) -1))) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (.f32 ux zi))))
✓	0.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos 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 maxCos (*.f32 ux zi))))
	3.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi))))
	3.1b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 (-.f32 1 ux) (.f32 ux (*.f32 maxCos zi))))
	11.7b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (-.f32 (-.f32 0 (-.f32 -1 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) yi))) 1))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	4.0b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (+.f32 (.f32 yi (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (.f32 uy (.f32 2 (PI.f32))))) (.f32 yi (+.f32 (.f32 -8/315 (pow.f32 (.f32 uy (PI.f32)) 7)) (.f32 4/15 (pow.f32 (.f32 uy (PI.f32)) 5))))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	4.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (+.f32 (.f32 yi (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (.f32 2 (.f32 uy (PI.f32))))) (.f32 (pow.f32 (.f32 uy (PI.f32)) 5) (.f32 4/15 yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	4.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (+.f32 (.f32 yi (.f32 uy (.f32 2 (PI.f32)))) (.f32 -4/3 (.f32 yi (pow.f32 (.f32 uy (PI.f32)) 3)))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	4.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (+.f32 (.f32 2 (.f32 (PI.f32) (.f32 uy yi))) (.f32 yi (+.f32 (.f32 4/15 (pow.f32 (.f32 uy (PI.f32)) 5)) (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3))))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	7.8b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (-.f32 (-.f32 0 (-.f32 -1 (.f32 (PI.f32) (+.f32 uy uy)))) 1)) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	8.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (-.f32 (PI.f32) (-.f32 (.f32 (PI.f32) (+.f32 1 (-.f32 1 (+.f32 uy uy)))) (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
▶	15.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (-.f32 (PI.f32) (.f32 uy (.f32 (PI.f32) -2)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	8.8b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (+.f32 (-.f32 (.f32 (PI.f32) (+.f32 uy (+.f32 uy -1))) 1) (-.f32 (PI.f32) -1))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	7.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (+.f32 (-.f32 (.f32 (PI.f32) (+.f32 uy uy)) 1) 1)) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	8.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (+.f32 (.f32 (PI.f32) (+.f32 uy (+.f32 uy -1))) (PI.f32))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	3.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (.f32 (pow.f32 (.f32 uy (PI.f32)) 2) (/.f32 2 (.f32 uy (PI.f32))))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	3.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (.f32 (/.f32 1 (.f32 (PI.f32) (+.f32 uy uy))) (.f32 (PI.f32) (.f32 (+.f32 uy uy) (.f32 (PI.f32) (+.f32 uy uy)))))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
▶	3.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (.f32 (.f32 (pow.f32 uy 2) (pow.f32 (PI.f32) 2)) (/.f32 2 (.f32 uy (PI.f32))))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	3.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (.f32 (.f32 (.f32 (PI.f32) (+.f32 uy uy)) (.f32 (.f32 (PI.f32) (+.f32 uy uy)) (.f32 (PI.f32) (.f32 (+.f32 uy uy) (.f32 (PI.f32) (+.f32 uy uy)))))) (/.f32 (/.f32 1 (.f32 (PI.f32) (+.f32 uy uy))) (.f32 (PI.f32) (.f32 (+.f32 uy uy) (.f32 (PI.f32) (+.f32 uy uy))))))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	3.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (.f32 (.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32))) (.f32 (/.f32 1 (/.f32 2 (.f32 uy (PI.f32)))) (.f32 (/.f32 2 (.f32 uy (PI.f32))) (/.f32 2 (.f32 uy (PI.f32))))))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	3.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 uy uy))) (/.f32 2 (.f32 uy (PI.f32))))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
▶	3.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (.f32 (.f32 uy (.f32 uy (.f32 (PI.f32) (PI.f32)))) (/.f32 2 (.f32 uy (PI.f32))))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	8.0b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (.f32 (PI.f32) (-.f32 (+.f32 -1 (+.f32 uy uy)) -1))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	4.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 yi (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (.f32 uy (.f32 2 (PI.f32))))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	5.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 yi (.f32 uy (.f32 2 (PI.f32)))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	8.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 yi (sin.f32 (.f32 (PI.f32) (-.f32 1 (.f32 2 uy))))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
▶	5.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
✓	5.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))

Compiler

Compiled 4013 to 2804 computations (30.1% saved)

localize288.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (.f32 uy 2))))
✓	0.4b	(.f32 (PI.f32) (.f32 uy 2))
	0.4b	(.f32 uy (.f32 2 (PI.f32)))
✓	0.4b	(.f32 (PI.f32) (.f32 4 uy))

Compiler

Compiled 345 to 219 computations (36.5% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	uy	@	0	(/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (.f32 uy 2))))
0.0ms	uy	@	0	(.f32 (PI.f32) (.f32 4 uy))
0.0ms	uy	@	inf	(/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (.f32 uy 2))))
0.0ms	uy	@	-inf	(/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (.f32 uy 2))))
0.0ms	uy	@	inf	(.f32 (PI.f32) (.f32 4 uy))

rewrite75.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1278×	`rational.json-5`
1276×	`exponential.json-3`
1276×	`rational.json-1`
1276×	`rational.json-2`
1276×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	79
1	155	79
2	518	79
3	2230	79

Stop Event

1×	node limit

Counts

3 → 34

Calls

Call 1

Inputs
(.f32 (PI.f32) (.f32 4 uy))
(.f32 (PI.f32) (.f32 uy 2))
(/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (.f32 uy 2))))

Outputs

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

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

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

simplify153.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1212×	`rational.json-simplify-43`
1158×	`rational.json-simplify-54`
972×	`rational.json-simplify-1`
792×	`rational.json-simplify-42`
780×	`rational.json-simplify-45`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	2306
1	230	2142
2	474	2038
3	1311	1998
4	5710	1998

Stop Event

1×	node limit

Counts

70 → 67

Calls

Call 1

Inputs
(.f32 4 (.f32 uy (PI.f32)))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
2
(+.f32 (.f32 (pow.f32 uy 2) (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (*.f32 -4 (pow.f32 (PI.f32) 2)))) 2)
(+.f32 (.f32 (pow.f32 uy 2) (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (.f32 -4 (pow.f32 (PI.f32) 2)))) (+.f32 (.f32 (-.f32 (.f32 32/3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 -2 (.f32 (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (.f32 -4 (pow.f32 (PI.f32) 2))) (pow.f32 (PI.f32) 2))) (.f32 4/3 (pow.f32 (PI.f32) 4)))) (pow.f32 uy 4)) 2))
(+.f32 (.f32 (pow.f32 uy 2) (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (.f32 -4 (pow.f32 (PI.f32) 2)))) (+.f32 (.f32 (-.f32 (.f32 32/3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 -2 (.f32 (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (.f32 -4 (pow.f32 (PI.f32) 2))) (pow.f32 (PI.f32) 2))) (.f32 4/3 (pow.f32 (PI.f32) 4)))) (pow.f32 uy 4)) (+.f32 2 (.f32 (pow.f32 uy 6) (-.f32 (.f32 -256/45 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -2 (.f32 (-.f32 (.f32 32/3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 -2 (.f32 (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (.f32 -4 (pow.f32 (PI.f32) 2))) (pow.f32 (PI.f32) 2))) (.f32 4/3 (pow.f32 (PI.f32) 4)))) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 -8/45 (pow.f32 (PI.f32) 6)) (.f32 2/3 (.f32 (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (*.f32 -4 (pow.f32 (PI.f32) 2))) (pow.f32 (PI.f32) 4))))))))))
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 2 (.f32 uy (PI.f32)))))
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 2 (.f32 uy (PI.f32)))))
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 2 (.f32 uy (PI.f32)))))
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 2 (.f32 uy (PI.f32)))))
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 2 (.f32 uy (PI.f32)))))
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 2 (.f32 uy (PI.f32)))))
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 2 (.f32 uy (PI.f32)))))
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 2 (.f32 uy (PI.f32)))))
(+.f32 (.f32 (PI.f32) (.f32 4 uy)) 0)
(+.f32 (.f32 (PI.f32) (+.f32 uy uy)) (.f32 (PI.f32) (+.f32 uy uy)))
(+.f32 0 (.f32 (PI.f32) (.f32 4 uy)))
(-.f32 (.f32 (PI.f32) (.f32 4 uy)) 0)
(-.f32 (.f32 (PI.f32) (+.f32 uy uy)) (.f32 (*.f32 (PI.f32) uy) -2))
(-.f32 0 (.f32 (.f32 (PI.f32) uy) -4))
(-.f32 (-.f32 (.f32 (PI.f32) (+.f32 uy uy)) (-.f32 -1 (.f32 (PI.f32) (+.f32 uy uy)))) 1)
(-.f32 (-.f32 0 (-.f32 -1 (.f32 (PI.f32) (.f32 4 uy)))) 1)
(/.f32 (.f32 (PI.f32) (.f32 4 uy)) 1)
(/.f32 (.f32 (PI.f32) (.f32 4 uy)) (/.f32 (.f32 (PI.f32) uy) (.f32 (PI.f32) uy)))
(/.f32 (.f32 (.f32 (PI.f32) uy) -4) -1)
(pow.f32 (.f32 (PI.f32) (.f32 4 uy)) 1)
(neg.f32 (.f32 (.f32 (PI.f32) uy) -4))
(+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 0)
(+.f32 0 (*.f32 (PI.f32) (+.f32 uy uy)))
(+.f32 (.f32 (PI.f32) uy) (.f32 (PI.f32) uy))
(-.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 0)
(-.f32 0 (.f32 (.f32 (PI.f32) uy) -2))
(-.f32 (-.f32 0 (-.f32 -1 (*.f32 (PI.f32) (+.f32 uy uy)))) 1)
(/.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1)
(/.f32 (.f32 (PI.f32) (+.f32 uy uy)) (/.f32 (.f32 (PI.f32) uy) (*.f32 (PI.f32) uy)))
(/.f32 (.f32 (.f32 (PI.f32) uy) -2) -1)
(pow.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1)
(neg.f32 (.f32 (.f32 (PI.f32) uy) -2))
(+.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (*.f32 (PI.f32) (+.f32 uy uy)))) 0)
(+.f32 0 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (*.f32 (PI.f32) (+.f32 uy uy)))))
(-.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (*.f32 (PI.f32) (+.f32 uy uy)))) 0)
(.f32 1 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (+.f32 uy uy)))))
(.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (+.f32 uy uy)))) 1)
(.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (+.f32 uy uy)))) (/.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (+.f32 uy uy)))) (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (+.f32 uy uy))))))
(.f32 (.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (+.f32 uy uy)))) (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (+.f32 uy uy))))) (/.f32 1 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (*.f32 (PI.f32) (+.f32 uy uy))))))
(.f32 (.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (+.f32 uy uy)))) (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (+.f32 uy uy))))) (.f32 (/.f32 1 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (+.f32 uy uy))))) 1))
(.f32 (/.f32 1 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (+.f32 uy uy))))) (.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (+.f32 uy uy)))) (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (*.f32 (PI.f32) (+.f32 uy uy))))))
(pow.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (*.f32 (PI.f32) (+.f32 uy uy)))) 1)

Outputs
(.f32 4 (.f32 uy (PI.f32)))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 4 (.f32 uy (PI.f32)))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(.f32 uy (.f32 (PI.f32) 2))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(.f32 uy (.f32 (PI.f32) 2))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(.f32 uy (.f32 (PI.f32) 2))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(.f32 uy (.f32 (PI.f32) 2))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(.f32 uy (.f32 (PI.f32) 2))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(.f32 uy (.f32 (PI.f32) 2))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(.f32 uy (.f32 (PI.f32) 2))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(.f32 uy (.f32 (PI.f32) 2))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(.f32 uy (.f32 (PI.f32) 2))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(.f32 uy (.f32 (PI.f32) 2))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(.f32 uy (.f32 (PI.f32) 2))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(.f32 uy (.f32 (PI.f32) 2))
2
(+.f32 (.f32 (pow.f32 uy 2) (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (*.f32 -4 (pow.f32 (PI.f32) 2)))) 2)
(+.f32 2 (.f32 (pow.f32 uy 2) (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (*.f32 (pow.f32 (PI.f32) 2) -4))))
(+.f32 2 (.f32 (pow.f32 uy 2) (.f32 (pow.f32 (PI.f32) 2) -4)))
(+.f32 2 (.f32 (pow.f32 (PI.f32) 2) (.f32 -4 (pow.f32 uy 2))))
(+.f32 2 (.f32 -4 (pow.f32 (.f32 uy (PI.f32)) 2)))
(+.f32 (.f32 (pow.f32 uy 2) (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (.f32 -4 (pow.f32 (PI.f32) 2)))) (+.f32 (.f32 (-.f32 (.f32 32/3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 -2 (.f32 (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (.f32 -4 (pow.f32 (PI.f32) 2))) (pow.f32 (PI.f32) 2))) (.f32 4/3 (pow.f32 (PI.f32) 4)))) (pow.f32 uy 4)) 2))
(+.f32 (.f32 (-.f32 (.f32 32/3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (.f32 (pow.f32 (PI.f32) 2) -4)) (.f32 (pow.f32 (PI.f32) 2) -2)) (.f32 (pow.f32 (PI.f32) 4) 4/3))) (pow.f32 uy 4)) (+.f32 2 (.f32 (pow.f32 uy 2) (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (.f32 (pow.f32 (PI.f32) 2) -4)))))
(+.f32 2 (+.f32 (.f32 (-.f32 (.f32 32/3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 (pow.f32 (PI.f32) 2) (.f32 (.f32 (pow.f32 (PI.f32) 2) -4) -2)) (.f32 (pow.f32 (PI.f32) 4) 4/3))) (pow.f32 uy 4)) (.f32 (pow.f32 uy 2) (.f32 (pow.f32 (PI.f32) 2) -4))))
(+.f32 (+.f32 2 (.f32 (pow.f32 (PI.f32) 2) (.f32 -4 (pow.f32 uy 2)))) (.f32 (-.f32 (.f32 (pow.f32 (PI.f32) 4) 28/3) (.f32 (pow.f32 (PI.f32) 2) (.f32 (pow.f32 (PI.f32) 2) 8))) (pow.f32 uy 4)))
(+.f32 (+.f32 2 (.f32 -4 (pow.f32 (.f32 uy (PI.f32)) 2))) (.f32 (-.f32 (.f32 (pow.f32 (PI.f32) 4) 28/3) (.f32 (pow.f32 (PI.f32) 2) (.f32 (pow.f32 (PI.f32) 2) 8))) (pow.f32 uy 4)))
(+.f32 (.f32 (pow.f32 uy 2) (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (.f32 -4 (pow.f32 (PI.f32) 2)))) (+.f32 (.f32 (-.f32 (.f32 32/3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 -2 (.f32 (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (.f32 -4 (pow.f32 (PI.f32) 2))) (pow.f32 (PI.f32) 2))) (.f32 4/3 (pow.f32 (PI.f32) 4)))) (pow.f32 uy 4)) (+.f32 2 (.f32 (pow.f32 uy 6) (-.f32 (.f32 -256/45 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 -2 (.f32 (-.f32 (.f32 32/3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 -2 (.f32 (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (.f32 -4 (pow.f32 (PI.f32) 2))) (pow.f32 (PI.f32) 2))) (.f32 4/3 (pow.f32 (PI.f32) 4)))) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 -8/45 (pow.f32 (PI.f32) 6)) (.f32 2/3 (.f32 (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (*.f32 -4 (pow.f32 (PI.f32) 2))) (pow.f32 (PI.f32) 4))))))))))
(+.f32 (.f32 (pow.f32 uy 2) (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (.f32 (pow.f32 (PI.f32) 2) -4))) (+.f32 2 (+.f32 (.f32 (pow.f32 uy 6) (-.f32 (.f32 -256/45 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 (-.f32 (.f32 32/3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (.f32 (pow.f32 (PI.f32) 2) -4)) (.f32 (pow.f32 (PI.f32) 2) -2)) (.f32 (pow.f32 (PI.f32) 4) 4/3))) (.f32 (pow.f32 (PI.f32) 2) -2)) (+.f32 (.f32 (pow.f32 (PI.f32) 6) -8/45) (.f32 (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (.f32 (pow.f32 (PI.f32) 2) -4)) (.f32 (pow.f32 (PI.f32) 4) 2/3)))))) (.f32 (-.f32 (.f32 32/3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 (-.f32 (.f32 -8 (pow.f32 (PI.f32) 2)) (.f32 (pow.f32 (PI.f32) 2) -4)) (.f32 (pow.f32 (PI.f32) 2) -2)) (*.f32 (pow.f32 (PI.f32) 4) 4/3))) (pow.f32 uy 4)))))
(+.f32 2 (+.f32 (+.f32 (.f32 (-.f32 (.f32 32/3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 (pow.f32 (PI.f32) 2) (.f32 (.f32 (pow.f32 (PI.f32) 2) -4) -2)) (.f32 (pow.f32 (PI.f32) 4) 4/3))) (pow.f32 uy 4)) (.f32 (pow.f32 uy 6) (-.f32 (.f32 -256/45 (pow.f32 (PI.f32) 6)) (+.f32 (.f32 (pow.f32 (PI.f32) 2) (.f32 (-.f32 (.f32 32/3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 (pow.f32 (PI.f32) 2) (.f32 (.f32 (pow.f32 (PI.f32) 2) -4) -2)) (.f32 (pow.f32 (PI.f32) 4) 4/3))) -2)) (+.f32 (.f32 (pow.f32 (PI.f32) 6) -8/45) (.f32 (.f32 (pow.f32 (PI.f32) 2) -4) (.f32 (pow.f32 (PI.f32) 4) 2/3))))))) (.f32 (pow.f32 uy 2) (*.f32 (pow.f32 (PI.f32) 2) -4))))
(+.f32 (.f32 (pow.f32 (PI.f32) 2) (.f32 -4 (pow.f32 uy 2))) (+.f32 (+.f32 2 (.f32 (-.f32 (.f32 (pow.f32 (PI.f32) 4) 28/3) (.f32 (pow.f32 (PI.f32) 2) (.f32 (pow.f32 (PI.f32) 2) 8))) (pow.f32 uy 4))) (.f32 (pow.f32 uy 6) (-.f32 (-.f32 (.f32 (pow.f32 (PI.f32) 6) -248/45) (.f32 (pow.f32 (PI.f32) 4) (.f32 (pow.f32 (PI.f32) 2) -8/3))) (.f32 (pow.f32 (PI.f32) 2) (.f32 -2 (-.f32 (.f32 (pow.f32 (PI.f32) 4) 28/3) (.f32 (pow.f32 (PI.f32) 2) (*.f32 (pow.f32 (PI.f32) 2) 8)))))))))
(+.f32 2 (+.f32 (.f32 (-.f32 (.f32 (pow.f32 (PI.f32) 4) 28/3) (.f32 (pow.f32 (PI.f32) 2) (.f32 (pow.f32 (PI.f32) 2) 8))) (pow.f32 uy 4)) (+.f32 (.f32 -4 (pow.f32 (.f32 uy (PI.f32)) 2)) (.f32 (pow.f32 uy 6) (-.f32 (.f32 (pow.f32 (PI.f32) 6) -248/45) (.f32 (pow.f32 (PI.f32) 2) (+.f32 (.f32 -2 (-.f32 (.f32 (pow.f32 (PI.f32) 4) 28/3) (.f32 (pow.f32 (PI.f32) 2) (.f32 (pow.f32 (PI.f32) 2) 8)))) (.f32 (pow.f32 (PI.f32) 4) -8/3))))))))
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 2 (.f32 uy (PI.f32)))))
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 (PI.f32) (.f32 2 uy))))
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 uy (.f32 (PI.f32) 2))))
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 2 (.f32 uy (PI.f32)))))
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 (PI.f32) (.f32 2 uy))))
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 uy (.f32 (PI.f32) 2))))
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 2 (.f32 uy (PI.f32)))))
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 (PI.f32) (.f32 2 uy))))
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 uy (.f32 (PI.f32) 2))))
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 2 (.f32 uy (PI.f32)))))
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 (PI.f32) (.f32 2 uy))))
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 uy (.f32 (PI.f32) 2))))
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 2 (.f32 uy (PI.f32)))))
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 (PI.f32) (.f32 2 uy))))
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 uy (.f32 (PI.f32) 2))))
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 2 (.f32 uy (PI.f32)))))
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 (PI.f32) (.f32 2 uy))))
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 uy (.f32 (PI.f32) 2))))
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 2 (.f32 uy (PI.f32)))))
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 (PI.f32) (.f32 2 uy))))
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 uy (.f32 (PI.f32) 2))))
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 2 (.f32 uy (PI.f32)))))
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 (PI.f32) (.f32 2 uy))))
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (.f32 uy (.f32 (PI.f32) 2))))
(+.f32 (.f32 (PI.f32) (.f32 4 uy)) 0)
(.f32 4 (.f32 uy (PI.f32)))
(+.f32 (.f32 (PI.f32) (+.f32 uy uy)) (.f32 (PI.f32) (+.f32 uy uy)))
(*.f32 (+.f32 uy uy) (+.f32 (PI.f32) (PI.f32)))
(+.f32 0 (.f32 (PI.f32) (.f32 4 uy)))
(.f32 4 (.f32 uy (PI.f32)))
(-.f32 (.f32 (PI.f32) (.f32 4 uy)) 0)
(.f32 4 (.f32 uy (PI.f32)))
(-.f32 (.f32 (PI.f32) (+.f32 uy uy)) (.f32 (*.f32 (PI.f32) uy) -2))
(-.f32 (.f32 (PI.f32) (+.f32 uy uy)) (.f32 -2 (*.f32 uy (PI.f32))))
(-.f32 (.f32 (PI.f32) (+.f32 uy uy)) (.f32 uy (*.f32 (PI.f32) -2)))
(.f32 (PI.f32) (-.f32 (+.f32 uy uy) (.f32 uy -2)))
(-.f32 0 (.f32 (.f32 (PI.f32) uy) -4))
(.f32 4 (.f32 uy (PI.f32)))
(-.f32 (-.f32 (.f32 (PI.f32) (+.f32 uy uy)) (-.f32 -1 (.f32 (PI.f32) (+.f32 uy uy)))) 1)
(+.f32 (.f32 (PI.f32) (+.f32 uy uy)) (.f32 (PI.f32) (+.f32 uy uy)))
(*.f32 (+.f32 uy uy) (+.f32 (PI.f32) (PI.f32)))
(-.f32 (-.f32 0 (-.f32 -1 (.f32 (PI.f32) (.f32 4 uy)))) 1)
(.f32 4 (.f32 uy (PI.f32)))
(/.f32 (.f32 (PI.f32) (.f32 4 uy)) 1)
(.f32 4 (.f32 uy (PI.f32)))
(/.f32 (.f32 (PI.f32) (.f32 4 uy)) (/.f32 (.f32 (PI.f32) uy) (.f32 (PI.f32) uy)))
(/.f32 (.f32 4 (.f32 uy (PI.f32))) (/.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32))))
(.f32 (.f32 uy (.f32 (PI.f32) (.f32 uy (PI.f32)))) (/.f32 4 (*.f32 uy (PI.f32))))
(.f32 (.f32 4 (.f32 uy (PI.f32))) (/.f32 (.f32 uy (PI.f32)) (*.f32 uy (PI.f32))))
(.f32 uy (.f32 (.f32 (PI.f32) (.f32 uy (PI.f32))) (/.f32 4 (*.f32 uy (PI.f32)))))
(/.f32 (.f32 (.f32 (PI.f32) uy) -4) -1)
(.f32 4 (.f32 uy (PI.f32)))
(pow.f32 (.f32 (PI.f32) (.f32 4 uy)) 1)
(.f32 4 (.f32 uy (PI.f32)))
(neg.f32 (.f32 (.f32 (PI.f32) uy) -4))
(.f32 4 (.f32 uy (PI.f32)))
(+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 0)
(*.f32 (PI.f32) (+.f32 uy uy))
(+.f32 0 (*.f32 (PI.f32) (+.f32 uy uy)))
(*.f32 (PI.f32) (+.f32 uy uy))
(+.f32 (.f32 (PI.f32) uy) (.f32 (PI.f32) uy))
(*.f32 (PI.f32) (+.f32 uy uy))
(-.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 0)
(*.f32 (PI.f32) (+.f32 uy uy))
(-.f32 0 (.f32 (.f32 (PI.f32) uy) -2))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(.f32 uy (.f32 (PI.f32) 2))
(-.f32 (-.f32 0 (-.f32 -1 (*.f32 (PI.f32) (+.f32 uy uy)))) 1)
(*.f32 (PI.f32) (+.f32 uy uy))
(/.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1)
(*.f32 (PI.f32) (+.f32 uy uy))
(/.f32 (.f32 (PI.f32) (+.f32 uy uy)) (/.f32 (.f32 (PI.f32) uy) (*.f32 (PI.f32) uy)))
(*.f32 (PI.f32) (+.f32 uy uy))
(/.f32 (.f32 (.f32 (PI.f32) uy) -2) -1)
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(.f32 uy (.f32 (PI.f32) 2))
(pow.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1)
(*.f32 (PI.f32) (+.f32 uy uy))
(neg.f32 (.f32 (.f32 (PI.f32) uy) -2))
(.f32 2 (.f32 uy (PI.f32)))
(.f32 (PI.f32) (.f32 2 uy))
(.f32 uy (.f32 (PI.f32) 2))
(+.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (*.f32 (PI.f32) (+.f32 uy uy)))) 0)
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 uy uy))))
(+.f32 0 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (*.f32 (PI.f32) (+.f32 uy uy)))))
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 uy uy))))
(-.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (*.f32 (PI.f32) (+.f32 uy uy)))) 0)
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 uy uy))))
(.f32 1 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (+.f32 uy uy)))))
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 uy uy))))
(.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (+.f32 uy uy)))) 1)
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 uy uy))))
(.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (+.f32 uy uy)))) (/.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (+.f32 uy uy)))) (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (+.f32 uy uy))))))
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 uy uy))))
(.f32 (.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (+.f32 uy uy)))) (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (+.f32 uy uy))))) (/.f32 1 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (*.f32 (PI.f32) (+.f32 uy uy))))))
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 uy uy))))
(.f32 (.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (+.f32 uy uy)))) (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (+.f32 uy uy))))) (.f32 (/.f32 1 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (+.f32 uy uy))))) 1))
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 uy uy))))
(.f32 (/.f32 1 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (+.f32 uy uy))))) (.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (+.f32 uy uy)))) (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (*.f32 (PI.f32) (+.f32 uy uy))))))
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 uy uy))))
(pow.f32 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (*.f32 (PI.f32) (+.f32 uy uy)))) 1)
(/.f32 (+.f32 1 (cos.f32 (.f32 4 (.f32 uy (PI.f32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 uy uy))))

localize170.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 220 to 115 computations (47.7% saved)

series5.0ms (0%)

Counts

2 → 36

Calls

15 calls:

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

rewrite149.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1102×	`rational.json-simplify-47`
752×	`rational.json-5`
750×	`exponential.json-3`
750×	`rational.json-1`
750×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	34
1	130	34
2	424	34
3	1604	34
4	6689	34

Stop Event

1×	node limit

Counts

2 → 18

Calls

Call 1

Inputs
(.f32 (PI.f32) (.f32 yi uy))
(.f32 (-.f32 1 ux) (.f32 maxCos zi))

Outputs

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

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

simplify165.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1352×	`rational.json-simplify-47`
818×	`rational.json-simplify-111`
780×	`rational.json-simplify-76`
696×	`rational.json-simplify-55`
612×	`rational.json-simplify-42`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	990
1	111	914
2	303	914
3	1156	914
4	3590	914
5	7241	914

Stop Event

1×	node limit

Counts

54 → 33

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

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

localize211.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (sin.f32 (-.f32 (PI.f32) (.f32 uy (*.f32 (PI.f32) -2)))) yi)
✓	0.3b	(-.f32 (PI.f32) (.f32 uy (.f32 (PI.f32) -2)))
✓	0.4b	(.f32 uy (.f32 (PI.f32) -2))
✓	12.9b	(sin.f32 (-.f32 (PI.f32) (.f32 uy (.f32 (PI.f32) -2))))

Compiler

Compiled 247 to 143 computations (42.1% saved)

series5.0ms (0%)

Counts

4 → 60

Calls

15 calls:

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

rewrite153.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1038×	`rational.json-simplify-47`
700×	`rational.json-5`
698×	`exponential.json-3`
698×	`rational.json-1`
698×	`rational.json-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	82
1	113	82
2	384	80
3	1520	80
4	6233	80

Stop Event

1×	node limit

Counts

4 → 102

Calls

Call 1

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

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

simplify175.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1064×	`rational.json-simplify-47`
972×	`rational.json-simplify-1`
964×	`rational.json-simplify-43`
946×	`rational.json-simplify-42`
820×	`rational.json-simplify-45`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	243	3432
1	589	3338
2	1388	3218
3	4989	3188

Stop Event

1×	node limit

Counts

162 → 144

Calls

Call 1

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

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

localize221.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f32 2 (*.f32 uy (PI.f32)))
✓	0.3b	(.f32 (.f32 uy (.f32 uy (.f32 (PI.f32) (PI.f32)))) (/.f32 2 (*.f32 uy (PI.f32))))
	0.4b	(*.f32 uy (PI.f32))
✓	1.0b	(*.f32 (PI.f32) (PI.f32))

Compiler

Compiled 298 to 138 computations (53.7% saved)

series0.0ms (0%)

Counts

2 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

uy

(*.f32 (*.f32 uy (*.f32 uy (*.f32 (PI.f32) (PI.f32)))) (/.f32 2 (*.f32 uy (PI.f32))))

0.0ms

uy

-inf

(*.f32 (*.f32 uy (*.f32 uy (*.f32 (PI.f32) (PI.f32)))) (/.f32 2 (*.f32 uy (PI.f32))))

0.0ms

uy

inf

(*.f32 (*.f32 uy (*.f32 uy (*.f32 (PI.f32) (PI.f32)))) (/.f32 2 (*.f32 uy (PI.f32))))

rewrite138.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

990×	`rational.json-simplify-47`
788×	`rational.json-simplify-55`
748×	`rational.json-simplify-58`
640×	`rational.json-simplify-43`
584×	`rational.json-5`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	54
1	104	54
2	332	54
3	1259	26
4	5724	26

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

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

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

simplify171.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1534×	`rational.json-simplify-43`
1522×	`rational.json-simplify-76`
1312×	`rational.json-simplify-111`
1182×	`rational.json-simplify-50`
652×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	113	853
1	248	773
2	437	773
3	1378	773
4	5443	773

Stop Event

1×	node limit

Counts

59 → 52

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 (*.f32 (PI.f32) (PI.f32)) 0)
(+.f32 0 (*.f32 (PI.f32) (PI.f32)))
(-.f32 (*.f32 (PI.f32) (PI.f32)) 0)
(-.f32 0 (neg.f32 (*.f32 (PI.f32) (PI.f32))))
(-.f32 (-.f32 0 (-.f32 -1 (*.f32 (PI.f32) (PI.f32)))) 1)
(/.f32 (*.f32 (PI.f32) (PI.f32)) 1)
(/.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (PI.f32) (PI.f32)))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) 1)
(neg.f32 (neg.f32 (*.f32 (PI.f32) (PI.f32))))
(fabs.f32 (*.f32 (PI.f32) (PI.f32)))
(fabs.f32 (neg.f32 (*.f32 (PI.f32) (PI.f32))))
(fabs.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (fabs.f32 (/.f32 (PI.f32) (PI.f32)))))
(fabs.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (neg.f32 (/.f32 (PI.f32) (PI.f32)))))
(fabs.f32 (*.f32 (PI.f32) (fabs.f32 (PI.f32))))
(fabs.f32 (*.f32 (fabs.f32 (PI.f32)) (PI.f32)))
(fabs.f32 (neg.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (fabs.f32 (/.f32 (PI.f32) (PI.f32))))))
(fabs.f32 (*.f32 (PI.f32) (neg.f32 (PI.f32))))
(fabs.f32 (*.f32 (PI.f32) (/.f32 (PI.f32) (fabs.f32 (/.f32 (PI.f32) (PI.f32))))))
(fabs.f32 (*.f32 (fabs.f32 (PI.f32)) (neg.f32 (PI.f32))))
(fabs.f32 (*.f32 (fabs.f32 (PI.f32)) (/.f32 (PI.f32) (fabs.f32 (/.f32 (PI.f32) (PI.f32))))))
(fabs.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32)))
(fabs.f32 (*.f32 (neg.f32 (PI.f32)) (fabs.f32 (PI.f32))))
(fabs.f32 (*.f32 (neg.f32 (PI.f32)) (/.f32 (PI.f32) (fabs.f32 (/.f32 (PI.f32) (PI.f32))))))
(fabs.f32 (*.f32 (/.f32 (PI.f32) (fabs.f32 (/.f32 (PI.f32) (PI.f32)))) (PI.f32)))
(fabs.f32 (*.f32 (/.f32 (PI.f32) (fabs.f32 (/.f32 (PI.f32) (PI.f32)))) (fabs.f32 (PI.f32))))
(fabs.f32 (*.f32 (/.f32 (PI.f32) (fabs.f32 (/.f32 (PI.f32) (PI.f32)))) (neg.f32 (PI.f32))))
(fabs.f32 (*.f32 (/.f32 (PI.f32) (fabs.f32 (/.f32 (PI.f32) (PI.f32)))) (/.f32 (PI.f32) (fabs.f32 (/.f32 (PI.f32) (PI.f32))))))
(fabs.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 (PI.f32) (PI.f32)) (neg.f32 (*.f32 (PI.f32) (PI.f32))))))
(fabs.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (*.f32 (PI.f32) (PI.f32)) (fabs.f32 (/.f32 (PI.f32) (PI.f32)))))))
(fabs.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (PI.f32) (fabs.f32 (PI.f32)))))
(fabs.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (/.f32 (PI.f32) (PI.f32)) (fabs.f32 (/.f32 (/.f32 (PI.f32) (PI.f32)) (/.f32 (PI.f32) (PI.f32)))))))
(fabs.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (fabs.f32 (PI.f32)) (neg.f32 (PI.f32)))))
(fabs.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 (PI.f32) 2) (*.f32 2 (fabs.f32 (PI.f32))))))
(fabs.f32 (/.f32 (neg.f32 (*.f32 (PI.f32) (PI.f32))) (fabs.f32 (/.f32 (PI.f32) (PI.f32)))))
(fabs.f32 (/.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (fabs.f32 (/.f32 (PI.f32) (PI.f32)))) (fabs.f32 (/.f32 (PI.f32) (PI.f32)))))
(fabs.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (neg.f32 (fabs.f32 (/.f32 (PI.f32) (PI.f32))))))
(fabs.f32 (-.f32 0 (/.f32 (*.f32 (PI.f32) (PI.f32)) (neg.f32 (/.f32 (PI.f32) (PI.f32))))))
(+.f32 (.f32 (PI.f32) uy) (.f32 (PI.f32) uy))
(+.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 0)
(+.f32 0 (*.f32 (PI.f32) (+.f32 uy uy)))
(-.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 0)
(-.f32 0 (neg.f32 (*.f32 (PI.f32) (+.f32 uy uy))))
(-.f32 (-.f32 0 (-.f32 -1 (*.f32 (PI.f32) (+.f32 uy uy)))) 1)
(/.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1)
(/.f32 (.f32 (PI.f32) (+.f32 uy uy)) (/.f32 (.f32 (PI.f32) uy) (*.f32 (PI.f32) uy)))
(pow.f32 (*.f32 (PI.f32) (+.f32 uy uy)) 1)
(neg.f32 (neg.f32 (*.f32 (PI.f32) (+.f32 uy uy))))

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

localize393.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 (.f32 (pow.f32 uy 2) (pow.f32 (PI.f32) 2)) (/.f32 2 (*.f32 uy (PI.f32))))
	0.4b	(*.f32 uy (PI.f32))
✓	0.4b	(*.f32 (pow.f32 uy 2) (pow.f32 (PI.f32) 2))
✓	1.0b	(pow.f32 (PI.f32) 2)

Compiler

Compiled 296 to 174 computations (41.2% saved)

series1.0ms (0%)

Counts

3 → 12

Calls

6 calls:

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

rewrite143.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

784×	`rational.json-simplify-47`
776×	`rational.json-simplify-49`
740×	`rational.json-simplify-50`
570×	`rational.json-simplify-58`
556×	`rational.json-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	59
1	101	59
2	317	59
3	1181	59
4	4957	59

Stop Event

1×	node limit

Counts

3 → 40

Calls

Call 1

Inputs
(pow.f32 (PI.f32) 2)
(*.f32 (pow.f32 uy 2) (pow.f32 (PI.f32) 2))
(.f32 (.f32 (pow.f32 uy 2) (pow.f32 (PI.f32) 2)) (/.f32 2 (*.f32 uy (PI.f32))))

Outputs

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

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

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

simplify222.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

778×	`rational.json-simplify-79`
730×	`rational.json-simplify-50`
718×	`rational.json-simplify-44`
618×	`rational.json-simplify-2`
614×	`rational.json-simplify-111`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	834
1	173	834
2	386	834
3	1314	834
4	3602	834
5	6386	834

Stop Event

1×	node limit

Counts

52 → 46

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

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

eval548.0ms (1.8%)

Compiler: Compiled 25257 to 15052 computations (40.4% saved)

prune232.0ms (0.8%)

Pruning

45 alts after pruning (37 fresh and 8 done)

	Pruned	Kept	Total
New	469	11	480
Fresh	2	26	28
Picked	0	1	1
Done	2	7	9
Total	473	45	518

Error

0.0b

Counts

518 → 45

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (.f32 1/2 (/.f32 (+.f32 1 (cos.f32 (.f32 (PI.f32) (.f32 4 uy)))) (cos.f32 (.f32 (PI.f32) (.f32 uy 2))))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (.f32 ux zi))))
✓	0.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (sin.f32 (-.f32 (/.f32 (PI.f32) 2) (.f32 2 (.f32 uy (PI.f32))))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi))))
	0.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (sin.f32 (-.f32 (PI.f32) (-.f32 (/.f32 (PI.f32) 2) (.f32 (PI.f32) (+.f32 uy uy))))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (.f32 ux zi))))
	3.1b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 -2 uy)))) xi) (.f32 (.f32 uy (.f32 2 (PI.f32))) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi))))
✓	0.2b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (sin.f32 (.f32 (PI.f32) (+.f32 1/2 (.f32 -2 uy)))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi))))
	0.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (+.f32 (+.f32 uy (+.f32 uy 1)) -1))) xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (.f32 ux zi))))
	1.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 2 (.f32 (PI.f32) (.f32 yi uy))) (+.f32 (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 5) 4/15)) (.f32 yi (.f32 (pow.f32 (.f32 uy (PI.f32)) 3) -4/3)))))) (.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi))))
✓	1.8b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (+.f32 (.f32 2 (.f32 uy (.f32 (PI.f32) yi))) (.f32 yi (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)))))) (.f32 (-.f32 1 ux) (.f32 maxCos (.f32 ux zi))))
	4.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (-.f32 (-.f32 0 (-.f32 -1 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))))) 1) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi))))
	4.2b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (+.f32 (-.f32 -1 (neg.f32 (.f32 2 (.f32 uy (PI.f32))))) 1)) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi))))
	4.8b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 (sin.f32 (.f32 (PI.f32) (-.f32 (+.f32 -1 (+.f32 uy uy)) -1))) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (.f32 ux zi))))
✓	0.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos 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 maxCos (*.f32 ux zi))))
	3.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (.f32 ux (-.f32 1 ux)) (.f32 maxCos maxCos))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (.f32 uy (.f32 2 (PI.f32)))) yi))) (.f32 (-.f32 1 ux) (.f32 maxCos (*.f32 ux zi))))
	3.1b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 (.f32 ux (-.f32 1 ux)) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos)))))) (+.f32 (.f32 (cos.f32 (.f32 uy (.f32 2 (PI.f32)))) xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 (-.f32 1 ux) (.f32 ux (*.f32 maxCos zi))))
	4.0b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (+.f32 (.f32 yi (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (.f32 uy (.f32 2 (PI.f32))))) (.f32 yi (+.f32 (.f32 -8/315 (pow.f32 (.f32 uy (PI.f32)) 7)) (.f32 4/15 (pow.f32 (.f32 uy (PI.f32)) 5))))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	4.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (+.f32 (.f32 yi (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (.f32 2 (.f32 uy (PI.f32))))) (.f32 (pow.f32 (.f32 uy (PI.f32)) 5) (.f32 4/15 yi))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	4.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (+.f32 (.f32 yi (.f32 uy (.f32 2 (PI.f32)))) (.f32 -4/3 (.f32 yi (pow.f32 (.f32 uy (PI.f32)) 3)))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	4.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (+.f32 (.f32 2 (.f32 (PI.f32) (.f32 uy yi))) (.f32 yi (+.f32 (.f32 4/15 (pow.f32 (.f32 uy (PI.f32)) 5)) (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3))))))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	15.1b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 (.f32 (PI.f32) (.f32 (.f32 2 uy) (cos.f32 (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	7.8b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (-.f32 (-.f32 0 (-.f32 -1 (.f32 (PI.f32) (+.f32 uy uy)))) 1)) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	8.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (-.f32 (PI.f32) (-.f32 (.f32 (PI.f32) (+.f32 1 (-.f32 1 (+.f32 uy uy)))) (PI.f32)))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	8.8b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (+.f32 (-.f32 (.f32 (PI.f32) (+.f32 uy (+.f32 uy -1))) 1) (-.f32 (PI.f32) -1))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	7.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (+.f32 (-.f32 (.f32 (PI.f32) (+.f32 uy uy)) 1) 1)) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	8.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (+.f32 (.f32 (PI.f32) (+.f32 uy (+.f32 uy -1))) (PI.f32))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	3.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (.f32 (pow.f32 (.f32 (PI.f32) uy) 2) (/.f32 2 (.f32 uy (PI.f32))))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	3.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (.f32 (/.f32 1 (.f32 (PI.f32) (+.f32 uy uy))) (.f32 (PI.f32) (.f32 (+.f32 uy uy) (.f32 (PI.f32) (+.f32 uy uy)))))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
✓	3.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (.f32 (.f32 (pow.f32 uy 2) (pow.f32 (PI.f32) 2)) (/.f32 2 (.f32 uy (PI.f32))))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	3.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (.f32 (.f32 (pow.f32 uy 2) (.f32 (pow.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) 2) (/.f32 (pow.f32 (/.f32 1 (PI.f32)) 2) (pow.f32 (.f32 (PI.f32) (PI.f32)) 2)))) (/.f32 2 (.f32 uy (PI.f32))))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	3.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (.f32 (.f32 (.f32 (PI.f32) (+.f32 uy uy)) (.f32 (.f32 (PI.f32) (+.f32 uy uy)) (.f32 (PI.f32) (.f32 (+.f32 uy uy) (.f32 (PI.f32) (+.f32 uy uy)))))) (/.f32 (/.f32 1 (.f32 (PI.f32) (+.f32 uy uy))) (.f32 (PI.f32) (.f32 (+.f32 uy uy) (.f32 (PI.f32) (+.f32 uy uy))))))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	3.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (.f32 (.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32))) (.f32 (/.f32 1 (/.f32 2 (.f32 uy (PI.f32)))) (.f32 (/.f32 2 (.f32 uy (PI.f32))) (/.f32 2 (.f32 uy (PI.f32))))))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	3.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 uy uy))) (/.f32 2 (.f32 uy (PI.f32))))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
✓	3.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (.f32 (.f32 uy (.f32 uy (.f32 (PI.f32) (PI.f32)))) (/.f32 2 (.f32 uy (PI.f32))))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	8.0b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (.f32 (PI.f32) (-.f32 (+.f32 -1 (+.f32 uy uy)) -1))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (.f32 maxCos zi))))
	15.2b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 uy -2))) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	15.0b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 (sin.f32 (PI.f32)) yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	4.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 yi (+.f32 (.f32 -4/3 (pow.f32 (.f32 uy (PI.f32)) 3)) (.f32 uy (.f32 2 (PI.f32))))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	5.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 yi (.f32 uy (.f32 2 (PI.f32)))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	8.4b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 yi (sin.f32 (.f32 (PI.f32) (-.f32 1 (.f32 2 uy))))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	12.3b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 2 (-.f32 (-.f32 0 (-.f32 -1 (.f32 (PI.f32) (.f32 yi uy)))) 1)))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	5.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 ux (+.f32 (.f32 maxCos zi) (.f32 maxCos (.f32 (*.f32 zi ux) -1)))))
	7.7b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 ux (.f32 (*.f32 zi ux) (neg.f32 maxCos))))
	5.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 ux (.f32 maxCos (+.f32 zi (*.f32 zi (neg.f32 ux))))))
	6.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 2 (.f32 (PI.f32) (.f32 yi uy))))) (.f32 ux (.f32 maxCos zi)))
✓	5.6b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 2 (.f32 uy (.f32 (PI.f32) yi))))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))
	14.5b	(+.f32 (.f32 (sqrt.f32 (-.f32 1 (.f32 ux (.f32 ux (.f32 (-.f32 1 ux) (.f32 (-.f32 1 ux) (.f32 maxCos maxCos))))))) (+.f32 (.f32 1 xi) (.f32 0 yi))) (.f32 ux (.f32 (-.f32 1 ux) (*.f32 maxCos zi))))

Compiler

Compiled 2483 to 1742 computations (29.8% saved)

regimes527.0ms (1.7%)

Counts

76 → 1

Calls

Call 1

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

Outputs

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

Calls

10 calls:

45.0ms	(+.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))
44.0ms	yi
43.0ms	maxCos
43.0ms	xi
42.0ms	zi

Results

Error	Segments	Branch
0.2b	1	`xi`
0.2b	1	`yi`
0.2b	1	`zi`
0.2b	1	`ux`
0.2b	1	`uy`
0.2b	1	`maxCos`
0.2b	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))`
0.2b	1	`(.f32 (.f32 uy 2) (PI.f32))`
0.2b	1	`(*.f32 uy 2)`
0.2b	1	`(.f32 (.f32 (-.f32 1 ux) maxCos) ux)`

Compiler

Compiled 4010 to 2372 computations (40.8% saved)

regimes223.0ms (0.7%)

Counts

39 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

43.0ms	xi
35.0ms	yi
25.0ms	ux
22.0ms	maxCos
22.0ms	uy

Results

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

Compiler

Compiled 1779 to 1068 computations (40% saved)

regimes469.0ms (1.5%)

Counts

34 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

105.0ms	maxCos
35.0ms	yi
34.0ms	uy
32.0ms	xi
32.0ms	ux

Results

Error	Segments	Branch
3.1b	1	`xi`
3.1b	1	`yi`
3.1b	1	`zi`
3.1b	1	`ux`
3.1b	1	`uy`
3.1b	1	`maxCos`

Compiler

Compiled 1547 to 931 computations (39.8% saved)

regimes210.0ms (0.7%)

Counts

26 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

28.0ms	uy
27.0ms	maxCos
26.0ms	zi
26.0ms	ux
26.0ms	yi

Results

Error	Segments	Branch
3.1b	1	`xi`
3.1b	1	`yi`
3.1b	1	`zi`
3.1b	1	`ux`
3.1b	1	`uy`
3.1b	1	`maxCos`

Compiler

Compiled 1156 to 703 computations (39.2% saved)

regimes369.0ms (1.2%)

Counts

24 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

148.0ms	yi
80.0ms	uy
26.0ms	maxCos
25.0ms	ux
24.0ms	zi

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 1066 to 655 computations (38.6% saved)

regimes96.0ms (0.3%)

Counts

10 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

14.0ms	yi
14.0ms	xi
13.0ms	ux
13.0ms	maxCos
13.0ms	uy

Results

Error	Segments	Branch
5.6b	1	`xi`
5.6b	1	`yi`
5.6b	1	`zi`
5.6b	1	`ux`
5.6b	1	`uy`
5.6b	1	`maxCos`

Compiler

Compiled 447 to 276 computations (38.3% saved)

regimes65.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

11.0ms	ux
10.0ms	zi
9.0ms	maxCos
9.0ms	xi
8.0ms	uy

Results

Error	Segments	Branch
5.6b	1	`xi`
5.6b	1	`yi`
5.6b	1	`zi`
5.6b	1	`ux`
5.6b	1	`uy`
5.6b	1	`maxCos`

Compiler

Compiled 239 to 156 computations (34.7% saved)

regimes52.0ms (0.2%)

Accuracy

Total -9.8b remaining (-149.3%)

Threshold costs -9.8b (-149.3%)

Counts

3 → 1

Calls

Call 1

Inputs

(+.f32 (*.f32 (sqrt.f32 (-.f32 1 (*.f32 ux (*.f32 ux (*.f32 (-.f32 1 ux) (*.f32 (-.f32 1 ux) (*.f32 maxCos maxCos))))))) (+.f32 (*.f32 1 xi) (*.f32 0 yi))) (*.f32 ux (*.f32 (-.f32 1 ux) (*.f32 maxCos zi))))

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

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

Outputs

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

Calls

6 calls:

11.0ms	ux
9.0ms	maxCos
7.0ms	yi
6.0ms	uy
6.0ms	zi

Results

Error	Segments	Branch
6.6b	1	`xi`
6.6b	1	`yi`
6.6b	1	`zi`
6.6b	1	`ux`
6.6b	1	`uy`
6.6b	1	`maxCos`

Compiler

Compiled 159 to 110 computations (30.8% saved)

simplify23.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	1159

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 433 to 310 computations (28.4% saved)

soundness580.0ms (1.9%)

Algorithm

2×	egg-herbie

Rules

1680×	`trig.json-simplify-41`
1280×	`rational.json-simplify-58`
992×	`rational.json-simplify-1`
930×	`rational.json-simplify-47`
898×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	201
1	51	201
2	101	201
3	197	143
4	433	143
5	1013	143
6	1644	143
7	2676	143
8	4647	143
0	53	818
1	91	818
2	260	746
3	1059	746
4	3861	746
5	6563	746

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 323 to 208 computations (35.6% saved)

end282.0ms (0.9%)

Compiler: Compiled 385 to 236 computations (38.7% saved)