Limits Continuity And Differentiability

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