I'm surprised nobody has mentioned Theano, which seems like the moral 
equivalent of your request for Python, including C code generation, GPU 
computation, and automatic differentiation. Its approach seems amenable to 
Racket implementation: it builds a graph representing the numeric operations to 
be performed (which you could do with a DSL), does optimizations on the graph, 
and then turns the result into fast C. You can probably steal many of its ideas.

http://deeplearning.net/software/theano/

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