Average Error: 3.3 → 3.3
Time: 11.9s
Precision: 64
\[x \cdot \left(1 - y \cdot z\right)\]
↓
\[x \cdot \left(1 - y \cdot z\right)\]
x \cdot \left(1 - y \cdot z\right)
↓
x \cdot \left(1 - y \cdot z\right)
double f(double x, double y, double z) {
        double r218711 = x;
        double r218712 = 1.0;
        double r218713 = y;
        double r218714 = z;
        double r218715 = r218713 * r218714;
        double r218716 = r218712 - r218715;
        double r218717 = r218711 * r218716;
        return r218717;
}
↓
double f(double x, double y, double z) {
        double r218718 = x;
        double r218719 = 1.0;
        double r218720 = y;
        double r218721 = z;
        double r218722 = r218720 * r218721;
        double r218723 = r218719 - r218722;
        double r218724 = r218718 * r218723;
        return r218724;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 3.3

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

  2. Final simplification3.3

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

Reproduce

herbie shell --seed 2019326 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I"
  :precision binary64
  (* x (- 1 (* y z))))