Average Error: 0.0 → 0.0
Time: 11.7s
Precision: 64
\[500 \cdot \left(x - y\right)\]
↓
\[x \cdot 500 + 500 \cdot \left(-y\right)\]
500 \cdot \left(x - y\right)
↓
x \cdot 500 + 500 \cdot \left(-y\right)
double f(double x, double y) {
        double r196735 = 500.0;
        double r196736 = x;
        double r196737 = y;
        double r196738 = r196736 - r196737;
        double r196739 = r196735 * r196738;
        return r196739;
}
↓
double f(double x, double y) {
        double r196740 = x;
        double r196741 = 500.0;
        double r196742 = r196740 * r196741;
        double r196743 = y;
        double r196744 = -r196743;
        double r196745 = r196741 * r196744;
        double r196746 = r196742 + r196745;
        return r196746;
}

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. Final simplification0.0

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

Reproduce

herbie shell --seed 2019235 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, B"
  :precision binary64
  (* 500 (- x y)))