$|\Delta f|^2$ in local coordinates

Question

The Laplace-Beltrami in local coordinates (for hypersurfaces in my case) is $$\Delta f = \frac{1}{\sqrt {|g|}} \partial_i \left(\sqrt{|g|} g^{ij} \partial_j f \right)$$ Is there a nice formula for its size: $$|\Delta f|^2?$$ Can somebody tell me what it is? Differentiating using everything using product rule with multiple sums is confusing..