Number of points of non-differentiability of the function $\mathrm{g}\left(\mathrm{x}\right)=\left[{\mathrm{x}}^2\right]\left\{{\cos }^{2}4\mathrm{x}\right\}+\left\{{\mathrm{x}}^2\right\}\left[{\cos }^{2}4\mathrm{x}\right]+{\mathrm{x}}^2{\sin }^{2}4\mathrm{x}+\left[{\mathrm{x}}^2\right]\left[{\cos }^{2}4\mathrm{x}\right]+\left\{{\mathrm{x}}^2\right\}\left\{{\cos }^{2}4\mathrm{x}\right\}\text{ in }$$(-50,50)$ where $\left[\mathrm{x}\right]\text{ and }\left\{\mathrm{x}\right\}$ denote the greatest integer function and fractional part function of x  respectively, is equal to