Average Error: 0.0 → 0
Time: 905.0ms
Precision: 64
\[\frac{x \cdot y}{2}\]
↓
\[\frac{y}{2} \cdot x\]
\frac{x \cdot y}{2}
↓
\frac{y}{2} \cdot x
double f(double x, double y) {
        double r69790 = x;
        double r69791 = y;
        double r69792 = r69790 * r69791;
        double r69793 = 2.0;
        double r69794 = r69792 / r69793;
        return r69794;
}
↓
double f(double x, double y) {
        double r69795 = y;
        double r69796 = 2.0;
        double r69797 = r69795 / r69796;
        double r69798 = x;
        double r69799 = r69797 * r69798;
        return r69799;
}

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

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

  2. Simplified0

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

  3. Final simplification0

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

Reproduce

herbie shell --seed 2019194 +o rules:numerics
(FPCore (x y)
  :name "Numeric.Interval.Internal:scale from intervals-0.7.1, B"
  (/ (* x y) 2.0))