  We present the results of our computation of the subregion complexity and
also compare it with the entanglement entropy of a $2+1$--dimensional
holographic superconductor which has a fully backreacted gravity dual with a
stable ground sate. We follow the "complexity equals volume" or the CV
conjecture. We find that there is only a single divergence for a strip
entangling surface and the complexity grows linearly with the large strip
width. During the normal phase the complexity increases with decreasing
temperature, but during the superconducting phase it behaves differently
depending on the order of phase transition. We also show that the universal
term is finite and the phase transition occurs at the same critical temperature
as obtained previously from the free energy computation of the system. In one
case, we observe multivaluedness in the complexity in the form of an "S" curve.
