Average Error: 0.0 → 0.0
Time: 1.5s
Precision: 64
\[x \cdot \left(1 - y\right)\]
\[1 \cdot x + \left(-y\right) \cdot x\]
x \cdot \left(1 - y\right)
1 \cdot x + \left(-y\right) \cdot x
double f(double x, double y) {
        double r265820 = x;
        double r265821 = 1.0;
        double r265822 = y;
        double r265823 = r265821 - r265822;
        double r265824 = r265820 * r265823;
        return r265824;
}

double f(double x, double y) {
        double r265825 = 1.0;
        double r265826 = x;
        double r265827 = r265825 * r265826;
        double r265828 = y;
        double r265829 = -r265828;
        double r265830 = r265829 * r265826;
        double r265831 = r265827 + r265830;
        return r265831;
}

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

    \[\leadsto \color{blue}{1 \cdot x} + x \cdot \left(-y\right)\]
  6. Simplified0.0

    \[\leadsto 1 \cdot x + \color{blue}{\left(-y\right) \cdot x}\]
  7. Final simplification0.0

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

Reproduce

herbie shell --seed 2020045 
(FPCore (x y)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, H"
  :precision binary64
  (* x (- 1 y)))