Average Error: 0.0 → 0.0
Time: 574.0ms
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 r86980 = x;
        double r86981 = y;
        double r86982 = r86980 * r86981;
        double r86983 = 2.0;
        double r86984 = r86982 / r86983;
        return r86984;
}
↓
double f(double x, double y) {
        double r86985 = x;
        double r86986 = y;
        double r86987 = r86985 * r86986;
        double r86988 = 2.0;
        double r86989 = r86987 / r86988;
        return r86989;
}

Error

Bits error versus x

Bits error versus y

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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 2020036 
(FPCore (x y)
  :name "Numeric.Interval.Internal:scale from intervals-0.7.1, B"
  :precision binary64
  (/ (* x y) 2))