Average Error: 0.0 → 0.0
Time: 969.0ms
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 r317704 = 500.0;
        double r317705 = x;
        double r317706 = y;
        double r317707 = r317705 - r317706;
        double r317708 = r317704 * r317707;
        return r317708;
}
↓
double f(double x, double y) {
        double r317709 = 500.0;
        double r317710 = x;
        double r317711 = r317709 * r317710;
        double r317712 = y;
        double r317713 = -r317712;
        double r317714 = r317709 * r317713;
        double r317715 = r317711 + r317714;
        return r317715;
}

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 2020083 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, B"
  :precision binary64
  (* 500 (- x y)))