Average Error: 0.0 → 0.0
Time: 1.0s
Precision: 64
\[x \cdot \left(1 - y\right)\]
↓
\[x \cdot 1 + x \cdot \left(-y\right)\]
x \cdot \left(1 - y\right)
↓
x \cdot 1 + x \cdot \left(-y\right)
double f(double x, double y) {
        double r233783 = x;
        double r233784 = 1.0;
        double r233785 = y;
        double r233786 = r233784 - r233785;
        double r233787 = r233783 * r233786;
        return r233787;
}
↓
double f(double x, double y) {
        double r233788 = x;
        double r233789 = 1.0;
        double r233790 = r233788 * r233789;
        double r233791 = y;
        double r233792 = -r233791;
        double r233793 = r233788 * r233792;
        double r233794 = r233790 + r233793;
        return r233794;
}

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

    \[x \cdot \left(1 - y\right)\]
  2. Using strategy rm

  3. Applied sub-neg0.0

    \[\leadsto x \cdot \color{blue}{\left(1 + \left(-y\right)\right)}\]

  4. Applied distribute-lft-in0.0

    \[\leadsto \color{blue}{x \cdot 1 + x \cdot \left(-y\right)}\]

  5. Final simplification0.0

    \[\leadsto x \cdot 1 + x \cdot \left(-y\right)\]

Reproduce

herbie shell --seed 2020083 
(FPCore (x y)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, H"
  :precision binary64
  (* x (- 1 y)))