Average Error: 0.0 → 0.0
Time: 8.9s
Precision: 64
\[\frac{x}{y \cdot 2.0}\]
↓
\[\frac{x}{y} \cdot 0.5\]
\frac{x}{y \cdot 2.0}
↓
\frac{x}{y} \cdot 0.5
double f(double x, double y) {
        double r7235708 = x;
        double r7235709 = y;
        double r7235710 = 2.0;
        double r7235711 = r7235709 * r7235710;
        double r7235712 = r7235708 / r7235711;
        return r7235712;
}
↓
double f(double x, double y) {
        double r7235713 = x;
        double r7235714 = y;
        double r7235715 = r7235713 / r7235714;
        double r7235716 = 0.5;
        double r7235717 = r7235715 * r7235716;
        return r7235717;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{x}{y \cdot 2.0}\]

  2. Taylor expanded around 0 0.0

    \[\leadsto \color{blue}{0.5 \cdot \frac{x}{y}}\]

  3. Final simplification0.0

    \[\leadsto \frac{x}{y} \cdot 0.5\]

Reproduce

herbie shell --seed 2019158 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, C"
  (/ x (* y 2.0)))