  We perform model searches on smooth Calabi-Yau compactifications for both the
supersymmetric E8xE8 and SO(32) as well as for the non-supersymmetric
SO(16)xSO(16) heterotic strings simultaneously. We consider line bundle
backgrounds on both favorable CICYs with relatively small h_11 and the Schoen
manifold. Using Gram matrices we systematically analyze the combined
consequences of the Bianchi identities and the tree-level
Donaldson-Uhlenbeck-Yau equations inside the Kahler cone. In order to evaluate
the model building potential of the three heterotic theories on the various
geometries, we perform computer-aided scans. We have generated a large number
of GUT-like models (up to over a few hundred thousand on the various geometries
for the three heterotic theories) which become (MS)SM-like upon using a freely
acting Wilson line. For all three heterotic theories we present tables and
figures summarizing the potentially phenomenologically interesting models which
were obtained during our model scans.
