Average Error: 3.3 → 3.3
Time: 8.3s
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 r319914 = x;
        double r319915 = 1.0;
        double r319916 = y;
        double r319917 = z;
        double r319918 = r319916 * r319917;
        double r319919 = r319915 - r319918;
        double r319920 = r319914 * r319919;
        return r319920;
}
↓
double f(double x, double y, double z) {
        double r319921 = x;
        double r319922 = 1.0;
        double r319923 = y;
        double r319924 = z;
        double r319925 = r319923 * r319924;
        double r319926 = r319922 - r319925;
        double r319927 = r319921 * r319926;
        return r319927;
}

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