Average Error: 0.0 → 0.0
Time: 541.0ms
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 r171951 = x;
        double r171952 = y;
        double r171953 = r171951 * r171952;
        double r171954 = 2.0;
        double r171955 = r171953 / r171954;
        return r171955;
}

double f(double x, double y) {
        double r171956 = x;
        double r171957 = y;
        double r171958 = r171956 * r171957;
        double r171959 = 2.0;
        double r171960 = r171958 / r171959;
        return r171960;
}

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 2020034 +o rules:numerics
(FPCore (x y)
  :name "Numeric.Interval.Internal:scale from intervals-0.7.1, B"
  :precision binary64
  (/ (* x y) 2))