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

Average Error: 0.2 → 0.2

Time: 9.1s

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 r817195 = x;
        double r817196 = y;
        double r817197 = 3.0;
        double r817198 = r817196 * r817197;
        double r817199 = r817195 / r817198;
        return r817199;
}

↓

double f(double x, double y) {
        double r817200 = x;
        double r817201 = y;
        double r817202 = 3.0;
        double r817203 = r817201 * r817202;
        double r817204 = r817200 / r817203;
        return r817204;
}

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 +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)))