Average Error: 3.2 → 3.2
Time: 3.2s
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 r286817 = x;
        double r286818 = 1.0;
        double r286819 = y;
        double r286820 = z;
        double r286821 = r286819 * r286820;
        double r286822 = r286818 - r286821;
        double r286823 = r286817 * r286822;
        return r286823;
}
↓
double f(double x, double y, double z) {
        double r286824 = x;
        double r286825 = 1.0;
        double r286826 = y;
        double r286827 = z;
        double r286828 = r286826 * r286827;
        double r286829 = r286825 - r286828;
        double r286830 = r286824 * r286829;
        return r286830;
}

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 3.2

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

  2. Final simplification3.2

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

Reproduce

herbie shell --seed 2020062 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I"
  :precision binary64
  (* x (- 1 (* y z))))