Average Error: 0.0 → 0.0
Time: 892.0ms
Precision: 64
\[\frac{x \cdot y}{2}\]
↓
\[\frac{y}{2} \cdot x\]
\frac{x \cdot y}{2}
↓
\frac{y}{2} \cdot x
double f(double x, double y) {
        double r65896 = x;
        double r65897 = y;
        double r65898 = r65896 * r65897;
        double r65899 = 2.0;
        double r65900 = r65898 / r65899;
        return r65900;
}
↓
double f(double x, double y) {
        double r65901 = y;
        double r65902 = 2.0;
        double r65903 = r65901 / r65902;
        double r65904 = x;
        double r65905 = r65903 * r65904;
        return r65905;
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{x \cdot y}{2}\]

  2. Simplified0.0

    \[\leadsto \color{blue}{\frac{y}{2} \cdot x}\]

  3. Final simplification0.0

    \[\leadsto \frac{y}{2} \cdot x\]

Reproduce

herbie shell --seed 2019196 +o rules:numerics
(FPCore (x y)
  :name "Numeric.Interval.Internal:scale from intervals-0.7.1, B"
  (/ (* x y) 2.0))