  Parton distribution functions play a pivotal role in hadron collider
phenomenology. They are non-perturbative quantities extracted from fits to
available data, and their scale dependence is dictated by the DGLAP evolution
equations. In this article, we discuss machine-assisted strategies to
efficiently compute PDFs directly incorporating the scale evolution without the
need of separately solving DGLAP equations. Analytical approximations to the
PDFs as a function of $x$ and $Q^2$, including up to next-to-leading order
effects in Quantum Chromodynamics, are obtained. The methodology is tested by
reproducing the $\texttt{HERAPDF2.0}$ set and implementing the analytical
expressions in benchmarking codes. It is found that the computational cost is
reduced while the precision of the simulations stays well under control.
