  With the discovery of a modest size for the mixing angle $\theta_{13} \sim
9^\circ$ by the Daya Bay collaboration at $>$5 sigma (\cite{dayabay}) the
science of neutrino oscillations has shifted to explicit demonstration of CP
violation and precision determination of the CP phase in the 3-flavor
framework. Any additional contributions from new physics to the oscillation
channel $\nu_\mu \to \nu_e$ could be uncovered by multiple constraints in the
($\theta_{13}, \delta_{CP}$) parameter space. In long-baseline experiments such
constraints will require examination of the oscillation strength at higher
$L/E$ where the effects of CP violation will be large. For the fixed baseline
of 1300 km for the Long-Baseline Neutrino Experiment (LBNE, Fermilab to
Homestake), it will be important to examine oscillations at low energies
($<1.5$ GeV) with good statistics, low backgrounds, and excellent energy
resolution. The accelerator upgrades in the Project-X era have the potential to
offer the beams of the needed intensity and quality for this advanced science
program. In this paper we examine the event rates for high intensity, low
energy running of Project-X and the Fermilab Main Injector complex, and the
precision in the ($\theta_{13}, \delta_{CP}$) space. In this paper we have
examined the baseline distance of 1300 km in detail, however we point out that
much longer distances such as 2500 km should also be exmained with a beam from
FNAL in light of the new understanding of the neutrino mixing.
