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

Average Error: 0.2 → 0.2

Time: 14.9s

Precision: 64

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

Math

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

↓

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

C

double f(double x, double y) {
        double r831976 = x;
        double r831977 = y;
        double r831978 = 3.0;
        double r831979 = r831977 * r831978;
        double r831980 = r831976 / r831979;
        return r831980;
}

↓

double f(double x, double y) {
        double r831981 = x;
        double r831982 = y;
        double r831983 = r831981 / r831982;
        double r831984 = 3.0;
        double r831985 = r831983 / r831984;
        return r831985;
}

Error

Bits error versus x

Bits error versus y

Target

Original	0.2
Target	0.2
Herbie	0.2

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

Derivation

1. Initial program 0.2

   \[\frac{x}{y \cdot 3}\]
2. Using strategy rm

3. Applied associate-/r* 0.2

   \[\leadsto \color{blue}{\frac{\frac{x}{y}}{3}}\]

4. Final simplification 0.2

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

Reproduce

herbie shell --seed 2019350 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1, C"
  :precision binary64

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

  (/ x (* y 3)))