Average Error: 0.0 → 0.0
Time: 4.1s
Precision: 64
\[x \cdot \left(1 - y\right)\]
↓
\[\left(-y\right) \cdot x + x \cdot 1\]
x \cdot \left(1 - y\right)
↓
\left(-y\right) \cdot x + x \cdot 1
double f(double x, double y) {
        double r176657 = x;
        double r176658 = 1.0;
        double r176659 = y;
        double r176660 = r176658 - r176659;
        double r176661 = r176657 * r176660;
        return r176661;
}
↓
double f(double x, double y) {
        double r176662 = y;
        double r176663 = -r176662;
        double r176664 = x;
        double r176665 = r176663 * r176664;
        double r176666 = 1.0;
        double r176667 = r176664 * r176666;
        double r176668 = r176665 + r176667;
        return r176668;
}

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. Simplified0.0

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

  6. Final simplification0.0

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

Reproduce

herbie shell --seed 2019196 
(FPCore (x y)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, H"
  (* x (- 1.0 y)))