Average Error: 0.0 → 0.0
Time: 11.8s
Precision: 64
\[500 \cdot \left(x - y\right)\]
↓
\[500 \cdot \left(-y\right) + x \cdot 500\]
500 \cdot \left(x - y\right)
↓
500 \cdot \left(-y\right) + x \cdot 500
double f(double x, double y) {
        double r13380626 = 500.0;
        double r13380627 = x;
        double r13380628 = y;
        double r13380629 = r13380627 - r13380628;
        double r13380630 = r13380626 * r13380629;
        return r13380630;
}
↓
double f(double x, double y) {
        double r13380631 = 500.0;
        double r13380632 = y;
        double r13380633 = -r13380632;
        double r13380634 = r13380631 * r13380633;
        double r13380635 = x;
        double r13380636 = r13380635 * r13380631;
        double r13380637 = r13380634 + r13380636;
        return r13380637;
}

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-rgt-in0.0

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

  5. Final simplification0.0

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

Reproduce

herbie shell --seed 2019169 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, B"
  (* 500.0 (- x y)))