We address the issue of how many e-folds we would naturally expect if inflation occurred at an energy scale of order 1016  GeV. We use the canonical measure on trajectories in classical phase space, specialized to the case of flat universes with a single scalar field. While there is no exact analytic expression for the measure, we are able to derive conditions that determine its behavior. For a quadratic potential V(ϕ)=m2ϕ2/2 with m=2×1013  GeV and cutoff at MPl=2.4×1018  GeV, we find an expectation value of 2×1010 e-folds on the set of Friedmann-Robertson-Walker trajectories. For cosine inflation V(ϕ)=Λ4[1-cos(ϕ/f)] with f=1.5×1019  GeV, we find that the expected total number of e-folds is 50, which would just satisfy the observed requirements of our own Universe; if f is larger, more than 50 e-folds are generically attained. We conclude that one should expect a large amount of inflation in large-field models and more limited inflation in small-field (hilltop) scenarios.