Average Error: 0.0 → 0.0
Time: 4.3s
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 r12648969 = x;
        double r12648970 = 1.0;
        double r12648971 = y;
        double r12648972 = r12648970 - r12648971;
        double r12648973 = r12648969 * r12648972;
        return r12648973;
}
↓
double f(double x, double y) {
        double r12648974 = y;
        double r12648975 = -r12648974;
        double r12648976 = x;
        double r12648977 = r12648975 * r12648976;
        double r12648978 = 1.0;
        double r12648979 = r12648976 * r12648978;
        double r12648980 = r12648977 + r12648979;
        return r12648980;
}

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)))