Average Error: 0.0 → 0.0
Time: 4.6s
Precision: 64
\[x \cdot \left(1.0 - y\right)\]
↓
\[\left(-y\right) \cdot x + x \cdot 1.0\]
x \cdot \left(1.0 - y\right)
↓
\left(-y\right) \cdot x + x \cdot 1.0
double f(double x, double y) {
        double r10497782 = x;
        double r10497783 = 1.0;
        double r10497784 = y;
        double r10497785 = r10497783 - r10497784;
        double r10497786 = r10497782 * r10497785;
        return r10497786;
}
↓
double f(double x, double y) {
        double r10497787 = y;
        double r10497788 = -r10497787;
        double r10497789 = x;
        double r10497790 = r10497788 * r10497789;
        double r10497791 = 1.0;
        double r10497792 = r10497789 * r10497791;
        double r10497793 = r10497790 + r10497792;
        return r10497793;
}

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

    \[x \cdot \left(1.0 - y\right)\]
  2. Using strategy rm

  3. Applied sub-neg0.0

    \[\leadsto x \cdot \color{blue}{\left(1.0 + \left(-y\right)\right)}\]

  4. Applied distribute-lft-in0.0

    \[\leadsto \color{blue}{x \cdot 1.0 + x \cdot \left(-y\right)}\]

  5. Final simplification0.0

    \[\leadsto \left(-y\right) \cdot x + x \cdot 1.0\]

Reproduce

herbie shell --seed 2019162 
(FPCore (x y)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, H"
  (* x (- 1.0 y)))