Average Error: 0.0 → 0.0
Time: 5.6s
Precision: 64
\[500 \cdot \left(x - y\right)\]
↓
\[\left(-y\right) \cdot 500 + 500 \cdot x\]
500 \cdot \left(x - y\right)
↓
\left(-y\right) \cdot 500 + 500 \cdot x
double f(double x, double y) {
        double r11776620 = 500.0;
        double r11776621 = x;
        double r11776622 = y;
        double r11776623 = r11776621 - r11776622;
        double r11776624 = r11776620 * r11776623;
        return r11776624;
}
↓
double f(double x, double y) {
        double r11776625 = y;
        double r11776626 = -r11776625;
        double r11776627 = 500.0;
        double r11776628 = r11776626 * r11776627;
        double r11776629 = x;
        double r11776630 = r11776627 * r11776629;
        double r11776631 = r11776628 + r11776630;
        return r11776631;
}

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

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

Reproduce

herbie shell --seed 2019171 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, B"
  (* 500.0 (- x y)))