Average Error: 0.1 → 0.1
Time: 438.0ms
Precision: 64
\[\frac{x \cdot y}{2}\]
↓
\[\frac{x \cdot y}{2}\]
\frac{x \cdot y}{2}
↓
\frac{x \cdot y}{2}
double f(double x, double y) {
        double r129019 = x;
        double r129020 = y;
        double r129021 = r129019 * r129020;
        double r129022 = 2.0;
        double r129023 = r129021 / r129022;
        return r129023;
}
↓
double f(double x, double y) {
        double r129024 = x;
        double r129025 = y;
        double r129026 = r129024 * r129025;
        double r129027 = 2.0;
        double r129028 = r129026 / r129027;
        return r129028;
}

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 0.1

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

  2. Final simplification0.1

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

Reproduce

herbie shell --seed 2020039 +o rules:numerics
(FPCore (x y)
  :name "Numeric.Interval.Internal:scale from intervals-0.7.1, B"
  :precision binary64
  (/ (* x y) 2))