Precision of conversion from WSG84 to ECEF and ECEF to ENU?

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To convert from a global to a local coordinate system, I apply the following transformations.

WSG84 to ECEG:



with



and ECEF to ENU:



Let's assume that the semi-major axes a and e are known with high precision (e.g. a = 6378137.0 and e²=6.69437999014e-3), and the reference position in the second transformation is correct.

What is the precision I can expect from this transformation within a short distance from the reference position (let's say less than a mile)?



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