Average Error: 0.0 → 0.0
Time: 10.6s
Precision: 64
\[500 \cdot \left(x - y\right)\]
↓
\[500 \cdot x + \left(-y\right) \cdot 500\]
500 \cdot \left(x - y\right)
↓
500 \cdot x + \left(-y\right) \cdot 500
double f(double x, double y) {
        double r149614 = 500.0;
        double r149615 = x;
        double r149616 = y;
        double r149617 = r149615 - r149616;
        double r149618 = r149614 * r149617;
        return r149618;
}
↓
double f(double x, double y) {
        double r149619 = 500.0;
        double r149620 = x;
        double r149621 = r149619 * r149620;
        double r149622 = y;
        double r149623 = -r149622;
        double r149624 = r149623 * r149619;
        double r149625 = r149621 + r149624;
        return r149625;
}

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

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

  6. Final simplification0.0

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

Reproduce

herbie shell --seed 2019322 +o rules:numerics
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, B"
  :precision binary64
  (* 500 (- x y)))