Average Error: 0.0 → 0.0
Time: 5.8s
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 r4986970 = x;
        double r4986971 = y;
        double r4986972 = r4986970 * r4986971;
        double r4986973 = 2.0;
        double r4986974 = r4986972 / r4986973;
        return r4986974;
}
↓
double f(double x, double y) {
        double r4986975 = y;
        double r4986976 = 2.0;
        double r4986977 = r4986975 / r4986976;
        double r4986978 = x;
        double r4986979 = r4986977 * r4986978;
        return r4986979;
}

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 2019168 
(FPCore (x y)
  :name "Numeric.Interval.Internal:scale from intervals-0.7.1, B"
  (/ (* x y) 2.0))