Average Error: 0.0 → 0.0
Time: 6.4s
Precision: 64
\[500 \cdot \left(x - y\right)\]
↓
\[x \cdot 500 + \left(-y\right) \cdot 500\]
500 \cdot \left(x - y\right)
↓
x \cdot 500 + \left(-y\right) \cdot 500
double f(double x, double y) {
        double r310038 = 500.0;
        double r310039 = x;
        double r310040 = y;
        double r310041 = r310039 - r310040;
        double r310042 = r310038 * r310041;
        return r310042;
}
↓
double f(double x, double y) {
        double r310043 = x;
        double r310044 = 500.0;
        double r310045 = r310043 * r310044;
        double r310046 = y;
        double r310047 = -r310046;
        double r310048 = r310047 * r310044;
        double r310049 = r310045 + r310048;
        return r310049;
}

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. Simplified0.0

    \[\leadsto \color{blue}{x \cdot 500} + 500 \cdot \left(-y\right)\]

  6. Simplified0.0

    \[\leadsto x \cdot 500 + \color{blue}{\left(-y\right) \cdot 500}\]

  7. Final simplification0.0

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

Reproduce

herbie shell --seed 2020047 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, B"
  :precision binary64
  (* 500 (- x y)))