Average Error: 0.0 → 0.0
Time: 6.7s
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 r211115 = 500.0;
        double r211116 = x;
        double r211117 = y;
        double r211118 = r211116 - r211117;
        double r211119 = r211115 * r211118;
        return r211119;
}
↓
double f(double x, double y) {
        double r211120 = 500.0;
        double r211121 = x;
        double r211122 = r211120 * r211121;
        double r211123 = y;
        double r211124 = -r211123;
        double r211125 = r211120 * r211124;
        double r211126 = r211122 + r211125;
        return r211126;
}

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 2019325 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, B"
  :precision binary64
  (* 500 (- x y)))