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| Looking at it more closely, the problem runs deepers than I originally thought. The loss of precision is not due to a cancelation of terms, but due to Mathematica's evaluation of the 2F1's. This should not normally happen because for Mathematica's... |
| As an update here are some links reporting similar behaviour sometimes by design, sometimes clearly buggy:... |
| @ Rui. You are right in the sense that the presence of a second argument does indeed matter. I.e. using Optional[_,something] will allow matching of a Length zero element. However, in terms of matching it doesn't really matter what the second... |
| You might want to try:Simplify[F,R==(x^2 - y^2 - z^2)] |