  Type IIB string theory on a 5-sphere gives rise to ${\cal N}=8, SO(6)$ gauged
supergravity in five dimensions. Motivated by the fact that this is the context
of the most widely studied example of the AdS/CFT correspondence, we undertake
an investigation of its critical points. The scalar manifold is an
$E_{6(6)}/USp(8)$ coset, and the challenge is that it is 42-dimensional. We
take a Machine Learning approach to the problem using TensorFlow, and this
results in a substantial increase in the number of known critical points. Our
list of 32 critical points contains all five of the previously known ones,
including an ${\cal N}=2$ supersymmetric point identified by Khavaev, Pilch and
Warner.
