  We perform a matrix product state based density matrix renormalisation group
analysis of the phases for the disordered one-dimensional Bose-Hubbard model.
For particle densities N/L = 1, 1/2 and 2 we show that it is possible to obtain
a full phase diagram using only the entanglement properties, which come "for
free" when performing an update. We confirm the presence of Mott insulating,
superfluid and Bose glass phases when N/L = 1 and 1/2 (without the Mott
insulator) as found in previous studies. For the N/L = 2 system we find a
double lobed superfluid phase with possible reentrance.
