Average Error: 0.0 → 0.0
Time: 2.8s
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 r3546705 = x;
        double r3546706 = y;
        double r3546707 = r3546705 * r3546706;
        double r3546708 = 2.0;
        double r3546709 = r3546707 / r3546708;
        return r3546709;
}
↓
double f(double x, double y) {
        double r3546710 = y;
        double r3546711 = 2.0;
        double r3546712 = r3546710 / r3546711;
        double r3546713 = x;
        double r3546714 = r3546712 * r3546713;
        return r3546714;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{x \cdot y}{2}\]
  2. Using strategy rm

  3. Applied *-un-lft-identity0.0

    \[\leadsto \frac{x \cdot y}{\color{blue}{1 \cdot 2}}\]

  4. Applied times-frac0.0

    \[\leadsto \color{blue}{\frac{x}{1} \cdot \frac{y}{2}}\]

  5. Simplified0.0

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

  6. Final simplification0.0

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

Reproduce

herbie shell --seed 2019170 
(FPCore (x y)
  :name "Numeric.Interval.Internal:scale from intervals-0.7.1, B"
  (/ (* x y) 2.0))