Average Error: 0.0 → 0.0
Time: 354.0ms
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 r8914 = x;
        double r8915 = y;
        double r8916 = r8914 * r8915;
        double r8917 = 2.0;
        double r8918 = r8916 / r8917;
        return r8918;
}
↓
double f(double x, double y) {
        double r8919 = x;
        double r8920 = y;
        double r8921 = r8919 * r8920;
        double r8922 = 2.0;
        double r8923 = r8921 / r8922;
        return r8923;
}

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. Final simplification0.0

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

Reproduce

herbie shell --seed 2020045 +o rules:numerics
(FPCore (x y)
  :name "Numeric.Interval.Internal:scale from intervals-0.7.1, B"
  :precision binary64
  (/ (* x y) 2))