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Pole Embedment Formula

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Would it be appropriate to use the restrained embedded pole formula rather 
than the unrestrained one for the embedment design of a drilled concrete pile 
in bedrock.

The soil engineer has specified the point of fixity into the bedrock, and I 
was wondering, if the pile is assumed fixed at that point wouldn't the 
restrained condition apply? Since, I assume, the pole embedment formula was 
probably based on embedment into soil rather than bedrock. I always used the 
unrestrained condition in my designs, but this time I have quite a bit of 
embedment, so trying to reduce the embedment any way I can.

Any thoughts?

Oshin Tosounian, S.E.