Average Error: 0.0 → 0.0
Time: 8.6s
Precision: 64
\[200 \cdot \left(x - y\right)\]
↓
\[x \cdot 200 + 200 \cdot \left(-y\right)\]
200 \cdot \left(x - y\right)
↓
x \cdot 200 + 200 \cdot \left(-y\right)
double f(double x, double y) {
        double r245718 = 200.0;
        double r245719 = x;
        double r245720 = y;
        double r245721 = r245719 - r245720;
        double r245722 = r245718 * r245721;
        return r245722;
}
↓
double f(double x, double y) {
        double r245723 = x;
        double r245724 = 200.0;
        double r245725 = r245723 * r245724;
        double r245726 = y;
        double r245727 = -r245726;
        double r245728 = r245724 * r245727;
        double r245729 = r245725 + r245728;
        return r245729;
}

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

    \[200 \cdot \left(x - y\right)\]
  2. Using strategy rm

  3. Applied sub-neg0.0

    \[\leadsto 200 \cdot \color{blue}{\left(x + \left(-y\right)\right)}\]

  4. Applied distribute-lft-in0.0

    \[\leadsto \color{blue}{200 \cdot x + 200 \cdot \left(-y\right)}\]

  5. Simplified0.0

    \[\leadsto \color{blue}{x \cdot 200} + 200 \cdot \left(-y\right)\]

  6. Final simplification0.0

    \[\leadsto x \cdot 200 + 200 \cdot \left(-y\right)\]

Reproduce

herbie shell --seed 2019199 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, C"
  (* 200.0 (- x y)))