Average Error: 0.0 → 0.0
Time: 14.4s
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 r35823918 = 500.0;
        double r35823919 = x;
        double r35823920 = y;
        double r35823921 = r35823919 - r35823920;
        double r35823922 = r35823918 * r35823921;
        return r35823922;
}
↓
double f(double x, double y) {
        double r35823923 = 500.0;
        double r35823924 = x;
        double r35823925 = r35823923 * r35823924;
        double r35823926 = y;
        double r35823927 = -r35823926;
        double r35823928 = r35823923 * r35823927;
        double r35823929 = r35823925 + r35823928;
        return r35823929;
}

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 2019173 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, B"
  (* 500.0 (- x y)))