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

Average Error: 0.3 → 0.3

Time: 18.1s

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 r784049 = x;
        double r784050 = y;
        double r784051 = 3.0;
        double r784052 = r784050 * r784051;
        double r784053 = r784049 / r784052;
        return r784053;
}

↓

double f(double x, double y) {
        double r784054 = x;
        double r784055 = y;
        double r784056 = 3.0;
        double r784057 = r784055 * r784056;
        double r784058 = r784054 / r784057;
        return r784058;
}

Error

Bits error versus x

Bits error versus y

Target

Original	0.3
Target	0.2
Herbie	0.3

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

Derivation

1. Initial program 0.3

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

2. Final simplification 0.3

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

Reproduce

herbie shell --seed 2020043 +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)))