Average Error: 0.0 → 0.0
Time: 761.0ms
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 r8020449 = x;
        double r8020450 = y;
        double r8020451 = r8020449 * r8020450;
        double r8020452 = 2.0;
        double r8020453 = r8020451 / r8020452;
        return r8020453;
}
↓
double f(double x, double y) {
        double r8020454 = x;
        double r8020455 = y;
        double r8020456 = r8020454 * r8020455;
        double r8020457 = 2.0;
        double r8020458 = r8020456 / r8020457;
        return r8020458;
}

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 2019169 +o rules:numerics
(FPCore (x y)
  :name "Numeric.Interval.Internal:scale from intervals-0.7.1, B"
  (/ (* x y) 2.0))