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

Average Error: 0.0 → 0.0

Time: 400.0ms

Precision: 64

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

Math

\[\frac{x}{y \cdot 2}\]

↓

\[\frac{x}{y \cdot 2}\]

C

double f(double x, double y) {
        double r218146 = x;
        double r218147 = y;
        double r218148 = 2.0;
        double r218149 = r218147 * r218148;
        double r218150 = r218146 / r218149;
        return r218150;
}

↓

double f(double x, double y) {
        double r218151 = x;
        double r218152 = y;
        double r218153 = 2.0;
        double r218154 = r218152 * r218153;
        double r218155 = r218151 / r218154;
        return r218155;
}

Error

Bits error versus x

Bits error versus y

Derivation

1. Initial program 0.0

   \[\frac{x}{y \cdot 2}\]

2. Final simplification 0.0

   \[\leadsto \frac{x}{y \cdot 2}\]

Reproduce

herbie shell --seed 2019351 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, C"
  :precision binary64
  (/ x (* y 2)))