This seems like the path languages will come to evolve in. Especially with the advent of "cloud computing", I imagine a compiler which distributes processing among a remote resources can use a combination of a large company's internal code base and open source code to train ML algorithms can either provide either great code completion or build entire "ambiguous languages".
I don't know if you misunderstood or just didn't read the linked page, but this is a compiler for hierarchical Bayesian models, not a compiler that uses Bayesian inference in the process of compiling, neat as that would be.
I'm thinking that looking at the compiled code for some of the example models might actually be a good way to learn more about Hierarchical Bayesian models.