  We compute the Bayesian evidence and complexity of 193 slow-roll single-field
models of inflation using the Planck 2013 Cosmic Microwave Background data,
with the aim of establishing which models are favoured from a Bayesian
perspective. Our calculations employ a new numerical pipeline interfacing an
inflationary effective likelihood with the slow-roll library ASPIC and the
nested sampling algorithm MULTINEST. The models considered represent a complete
and systematic scan of the entire landscape of inflationary scenarios proposed
so far. Our analysis singles out the most probable models (from an Occam's
razor point of view) that are compatible with Planck data, while ruling out
with very strong evidence 34% of the models considered. We identify 26% of the
models that are favoured by the Bayesian evidence, corresponding to 15
different potential shapes. If the Bayesian complexity is included in the
analysis, only 9% of the models are preferred, corresponding to only 9
different potential shapes. These shapes are all of the plateau type.
