Average Error: 0.0 → 0.0
Time: 11.0s
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 r184744 = 500.0;
        double r184745 = x;
        double r184746 = y;
        double r184747 = r184745 - r184746;
        double r184748 = r184744 * r184747;
        return r184748;
}
↓
double f(double x, double y) {
        double r184749 = 500.0;
        double r184750 = x;
        double r184751 = r184749 * r184750;
        double r184752 = y;
        double r184753 = -r184752;
        double r184754 = r184749 * r184753;
        double r184755 = r184751 + r184754;
        return r184755;
}

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 2019323 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, B"
  :precision binary64
  (* 500 (- x y)))