  We perform numerical simulations of a long-range spherical spin glass with
two and three body interaction terms. We study the gradient descent dynamics
and the inherent structures found after a quench from initial conditions, well
thermalized at temperature $T_{in}$. In large systems, the dynamics strictly
agrees with the integration of the mean-field dynamical equations. In
particular, we confirm the existence of an onset initial temperature, within
the liquid phase, below which the energy of the inherent structures undoubtedly
depends on $T_{in}$. This behavior is in contrast with that of pure models,
where there is a 'threshold energy' that attracts all the initial
configurations in the liquid. Our results strengthen the analogy between
mean-field spin glass models and supercooled liquids.
