Average Error: 0.0 → 0.0
Time: 946.0ms
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 r93313 = x;
        double r93314 = y;
        double r93315 = r93313 * r93314;
        double r93316 = 2.0;
        double r93317 = r93315 / r93316;
        return r93317;
}
↓
double f(double x, double y) {
        double r93318 = y;
        double r93319 = 2.0;
        double r93320 = r93318 / r93319;
        double r93321 = x;
        double r93322 = r93320 * r93321;
        return r93322;
}

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. Simplified0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019174 +o rules:numerics
(FPCore (x y)
  :name "Numeric.Interval.Internal:scale from intervals-0.7.1, B"
  (/ (* x y) 2.0))