  The predominant method for generating Lattice QCD configurations is Hybrid
Monte Carlo (HMC). In order to speed up this generation, a wide range of
preconditioning techniques that modify the lattice action have been devised.
This work compares the performance of the well-known Hasenbusch preconditioning
technique with the polynomial filtering technique on a small $16^3 \times 32$
lattice with two flavours of Wilson fermions at a pion mass $M_{\pi} \sim
400~\mathrm{MeV}$. We explore a novel method of combining polynomial and
Hasenbusch filters, revealing a speedup when compared to the standard two
Hasenbusch filters. This comes with the added advantage of simplified tuning.
