I would like to say that I really do like the plant. It does not grow fast. It is very low growing, no more than 2 inches tall. You can walk on it. Very few weeds will grow through it, and it will grow under evergreen trees. It grows well in sun and in shade. I'm transplanting it to other shady areas.
I think it is probably the above plant (VERONICA SURCULOSA), but won't be able to be positive until it blooms again.