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Did you impliment the array check to avoid overstepping ?
You should note that using the "raw" figure from the pseudo DE, although accurate when very close to the surface, is not accurate enough for while approaching and I multiply the DE figure by 0.9 to give the step distance for quick renders and use a further reduction by a factor of at least 2 for final renders (in some cases up to 4 and occaissionally as much as 10).
I do the same with the DE value when using the analytical method.

This is a good view to test the speed/accuracy of your rendering code whichever DE method is used:

http://www.fractalforums.com/gallery/?sa=view;id=1289

Thanks for the reply's David. 

I didn't include the arrays as I didn't quite catch their purpose, but I then saw another posting of yours where the array portion of the code was re-published and it started making some sense.  I plan on implementing this over the weekend. 

And you're not being patronizing - i have no idea what I'm doing with this ray tracing thing!  I'm just taking bits and pieces from here and there and trying to make some pretty pictures.  But I digress, yes my direction vector is normalized when it's calculated from the x,y screen position.