Average Error: 0.0 → 0.0
Time: 12.3s
Precision: 64
\[500 \cdot \left(x - y\right)\]
↓
\[500 \cdot x + 500 \cdot \left(-y\right)\]
500 \cdot \left(x - y\right)
↓
500 \cdot x + 500 \cdot \left(-y\right)
double f(double x, double y) {
        double r293729 = 500.0;
        double r293730 = x;
        double r293731 = y;
        double r293732 = r293730 - r293731;
        double r293733 = r293729 * r293732;
        return r293733;
}
↓
double f(double x, double y) {
        double r293734 = 500.0;
        double r293735 = x;
        double r293736 = r293734 * r293735;
        double r293737 = y;
        double r293738 = -r293737;
        double r293739 = r293734 * r293738;
        double r293740 = r293736 + r293739;
        return r293740;
}

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. Final simplification0.0

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

Reproduce

herbie shell --seed 2019326 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, B"
  :precision binary64
  (* 500 (- x y)))