Here's a clip of Billy and I playing the classic Autumn Leaves. We did two takes. This was first tune of the day that we played. The topic of comping has been popular on the site with Behn doing some nice lessons. This clip shows some various comping possibilities.
Some of the techniques include double stops, single note walking type bass lines, pedal point (on the bridge), reharmonization, use of guide tone lines, stacking voicings, open versus closed voicings, chord arpeggiation, counterpoint with the soloist, etc.