I think it depends on the degree of pounding.
If its the old-school method of having someone pound on you, you may feel achy due to the muscles getting stressed from the heavy pounding, and maybe the different positions to get the gunk out (if you're not a contortionist)
If its a machine (as in your case), then other than the electric bill being higher than usual, I don't see any other after-effect, but then I'm old-school cause I don't have a machine (actually, I found Judo and Aikido to be an effective form of CPT).
However, if you are feeling gunky, I suggest drinking more water to keep yourself hydrated, and if you happen to like drinking alchohol beverages, to cut down (the alcohol exits through the lungs, and can make them dryer than usual because of the evaporating characteristics of alcohol).
Cheers!