  We propose a systematic procedure for obtaining all single trace 1/2-BPS
correlators in N=4 super Yang-Mills corresponding to the four-point tree-level
amplitude for type IIB string theory in AdS5xS5. The underlying idea is to
compute generalised contact Witten diagrams coming from a 10d effective field
theory on AdS5xS5 whose coefficients are fixed by the flat space
Virasoro-Shapiro amplitude up to ambiguities related to commutators of the 10d
covariant derivatives which require additional information such as
localisation. We illustrate this procedure by computing stringy corrections to
the supergravity prediction for all single trace 1/2-BPS correlators up to
$O(\alpha'^7)$, and spell out a general algorithm for extending this to any
order in $\alpha'$.
