Average Error: 0.0 → 0.0
Time: 3.4s
Precision: 64
\[500 \cdot \left(x - y\right)\]
↓
\[x \cdot 500 + \left(-y\right) \cdot 500\]
500 \cdot \left(x - y\right)
↓
x \cdot 500 + \left(-y\right) \cdot 500
double f(double x, double y) {
        double r231978 = 500.0;
        double r231979 = x;
        double r231980 = y;
        double r231981 = r231979 - r231980;
        double r231982 = r231978 * r231981;
        return r231982;
}
↓
double f(double x, double y) {
        double r231983 = x;
        double r231984 = 500.0;
        double r231985 = r231983 * r231984;
        double r231986 = y;
        double r231987 = -r231986;
        double r231988 = r231987 * r231984;
        double r231989 = r231985 + r231988;
        return r231989;
}

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

    \[500 \cdot \left(x - y\right)\]
  2. Using strategy rm

  3. Applied sub-neg0.0

    \[\leadsto 500 \cdot \color{blue}{\left(x + \left(-y\right)\right)}\]

  4. Applied distribute-lft-in0.0

    \[\leadsto \color{blue}{500 \cdot x + 500 \cdot \left(-y\right)}\]

  5. Simplified0.0

    \[\leadsto \color{blue}{x \cdot 500} + 500 \cdot \left(-y\right)\]

  6. Simplified0.0

    \[\leadsto x \cdot 500 + \color{blue}{\left(-y\right) \cdot 500}\]

  7. Final simplification0.0

    \[\leadsto x \cdot 500 + \left(-y\right) \cdot 500\]

Reproduce

herbie shell --seed 2020047 +o rules:numerics
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, B"
  :precision binary64
  (* 500 (- x y)))