Average Error: 0.0 → 0.0
Time: 1.5s
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 r4892682 = x;
        double r4892683 = y;
        double r4892684 = r4892682 * r4892683;
        double r4892685 = 2.0;
        double r4892686 = r4892684 / r4892685;
        return r4892686;
}
↓
double f(double x, double y) {
        double r4892687 = x;
        double r4892688 = y;
        double r4892689 = r4892687 * r4892688;
        double r4892690 = 2.0;
        double r4892691 = r4892689 / r4892690;
        return r4892691;
}

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 2019172 
(FPCore (x y)
  :name "Numeric.Interval.Internal:scale from intervals-0.7.1, B"
  (/ (* x y) 2.0))