The "AutomaticDifferentiation" ring is just the power series ring truncated 
at degree 2. It can be constructed over RIF:

sage: A.<dx, dy> = PowerSeriesRing(RIF, default_prec=2)
sage: 2 / (A((0.99, 1.01)) + dx + 3*dy)
2.? - 2.0?*dx - 6.?*dy + O(dx, dy)^2

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