Average Error: 0.0 → 0.0
Time: 5.8s
Precision: 64
\[500 \cdot \left(x - y\right)\]
↓
\[x \cdot 500 + 500 \cdot \left(-y\right)\]
500 \cdot \left(x - y\right)
↓
x \cdot 500 + 500 \cdot \left(-y\right)
double f(double x, double y) {
        double r212058 = 500.0;
        double r212059 = x;
        double r212060 = y;
        double r212061 = r212059 - r212060;
        double r212062 = r212058 * r212061;
        return r212062;
}
↓
double f(double x, double y) {
        double r212063 = x;
        double r212064 = 500.0;
        double r212065 = r212063 * r212064;
        double r212066 = y;
        double r212067 = -r212066;
        double r212068 = r212064 * r212067;
        double r212069 = r212065 + r212068;
        return r212069;
}

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. Final simplification0.0

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

Reproduce

herbie shell --seed 2019209 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, B"
  :precision binary64
  (* 500 (- x y)))