Average Error: 0.0 → 0.0
Time: 905.0ms
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 r3208145 = x;
        double r3208146 = y;
        double r3208147 = r3208145 * r3208146;
        double r3208148 = 2.0;
        double r3208149 = r3208147 / r3208148;
        return r3208149;
}
↓
double f(double x, double y) {
        double r3208150 = x;
        double r3208151 = y;
        double r3208152 = r3208150 * r3208151;
        double r3208153 = 2.0;
        double r3208154 = r3208152 / r3208153;
        return r3208154;
}

Error

Bits error versus x

Bits error versus y

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Results

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