Average Error: 3.4 → 3.4
Time: 3.0s
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 r775894 = x;
        double r775895 = 1.0;
        double r775896 = y;
        double r775897 = z;
        double r775898 = r775896 * r775897;
        double r775899 = r775895 - r775898;
        double r775900 = r775894 * r775899;
        return r775900;
}
↓
double f(double x, double y, double z) {
        double r775901 = x;
        double r775902 = 1.0;
        double r775903 = y;
        double r775904 = z;
        double r775905 = r775903 * r775904;
        double r775906 = r775902 - r775905;
        double r775907 = r775901 * r775906;
        return r775907;
}

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 3.4

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

  2. Final simplification3.4

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

Reproduce

herbie shell --seed 2020065 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I"
  :precision binary64
  (* x (- 1 (* y z))))