Average Error: 0.0 → 0.0
Time: 706.0ms
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 r253127 = x;
        double r253128 = 1.0;
        double r253129 = y;
        double r253130 = r253128 - r253129;
        double r253131 = r253127 * r253130;
        return r253131;
}
↓
double f(double x, double y) {
        double r253132 = x;
        double r253133 = 1.0;
        double r253134 = r253132 * r253133;
        double r253135 = y;
        double r253136 = -r253135;
        double r253137 = r253132 * r253136;
        double r253138 = r253134 + r253137;
        return r253138;
}

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 2020024 
(FPCore (x y)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, H"
  :precision binary64
  (* x (- 1 y)))