  We study the constant contributions to the free energies obtained through the
topological recursion applied to the complex curves mirror to toric Calabi-Yau
threefolds. We show that the recursion reproduces precisely the corresponding
Gromov-Witten invariants, which can be encoded in powers of the MacMahon
function. As a result, we extend the scope of the "remodeling conjecture" to
the full free energies, including the constant contributions. In the process we
study how the pair of pants decomposition of the mirror curves plays an
important role in the topological recursion. We also show that the free
energies are not, strictly speaking, symplectic invariants, and that the
recursive construction of the free energies does not commute with certain
limits of mirror curves.
