Average Error: 0.0 → 0.0
Time: 643.0ms
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 r282516 = x;
        double r282517 = 1.0;
        double r282518 = y;
        double r282519 = r282517 - r282518;
        double r282520 = r282516 * r282519;
        return r282520;
}
↓
double f(double x, double y) {
        double r282521 = x;
        double r282522 = 1.0;
        double r282523 = r282521 * r282522;
        double r282524 = y;
        double r282525 = -r282524;
        double r282526 = r282521 * r282525;
        double r282527 = r282523 + r282526;
        return r282527;
}

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 2019362 +o rules:numerics
(FPCore (x y)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, H"
  :precision binary64
  (* x (- 1 y)))