Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, C

Average Error: 0.2 → 0.2

Time: 7.9s

Precision: 64

• Falling back on racket egraph because egg-herbie package not installed

Math

\[\frac{x}{y \cdot 3}\]

↓

\[\frac{x}{y \cdot 3}\]

C

double f(double x, double y) {
        double r764837 = x;
        double r764838 = y;
        double r764839 = 3.0;
        double r764840 = r764838 * r764839;
        double r764841 = r764837 / r764840;
        return r764841;
}

↓

double f(double x, double y) {
        double r764842 = x;
        double r764843 = y;
        double r764844 = 3.0;
        double r764845 = r764843 * r764844;
        double r764846 = r764842 / r764845;
        return r764846;
}

Error

Bits error versus x

Bits error versus y

Target

Original	0.2
Target	0.3
Herbie	0.2

\[\frac{\frac{x}{y}}{3}\]

Derivation

1. Initial program 0.2

   \[\frac{x}{y \cdot 3}\]

2. Final simplification 0.2

   \[\leadsto \frac{x}{y \cdot 3}\]

Reproduce

herbie shell --seed 2020045 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1, C"
  :precision binary64

  :herbie-target
  (/ (/ x y) 3)

  (/ x (* y 3)))