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

Average Error: 0.2 → 0.2

Time: 14.0s

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 r620322 = x;
        double r620323 = y;
        double r620324 = 3.0;
        double r620325 = r620323 * r620324;
        double r620326 = r620322 / r620325;
        return r620326;
}

↓

double f(double x, double y) {
        double r620327 = x;
        double r620328 = y;
        double r620329 = r620327 / r620328;
        double r620330 = 3.0;
        double r620331 = r620329 / r620330;
        return r620331;
}

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

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

  (/ x (* y 3)))