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

Average Error: 0.0 → 0.0

Time: 376.0ms

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 r35824 = x;
        double r35825 = y;
        double r35826 = 2.0;
        double r35827 = r35825 * r35826;
        double r35828 = r35824 / r35827;
        return r35828;
}

↓

double f(double x, double y) {
        double r35829 = x;
        double r35830 = y;
        double r35831 = 2.0;
        double r35832 = r35830 * r35831;
        double r35833 = r35829 / r35832;
        return r35833;
}

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 2020045 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, C"
  :precision binary64
  (/ x (* y 2)))