Let  $f\left(x\right)=\{\begin{array}{c}|4x^2-8x+5|,if8x^2-6x+1\ge 0\\ [4x^2-8x+5],if8x^2-6x+1<0\end{array},$  where  $\left[\alpha \right]$ denotes the greatest integer less than or equal to $\alpha .$  Then the number of points in  R where $f$ is not differentiable is _______.

$$\begin{gathered} f\left(x\right)=\{\begin{array}{cc}|4x^2-8x+5|,& if8x^2-6x+1\ge 0\\ |4x^2-8x+5|,& if8x^2-6x+1<0\end{array} \\ f\left(x\right)=\{\begin{array}{cc}|4x^2-8x+5|,& x\in (-\infty ,\frac{1}{4})\cup (\frac{1}{2},\infty )\\ |4x^2-8x+5|,& x\in (\frac{1}{4},\frac{1}{2})\end{array} \\ f\left(x\right)=\{\begin{array}{ccc}4x^2-8x+5& ,& x\in (-\infty ,\frac{1}{4})\cup (\frac{1}{2},\infty )\\ 3& ,& x\in (\frac{1}{4},x_1)\\ 2& ,& x\in (x_1,\frac{1}{2})\end{array} \end{gathered}$$

Total number of non differentiable points = 3.