Today I learned that prod() function in JAGS is not as fast as I expected. It runs out in a analysis that took ~70 seconds, an additional 10 seconds was added for each use of prod(). May not make a hill of beans in a small analysis that is done in less than 2 minutes, but I am needing analyses that scale. Any performance improvement is important! So by spelling out the multiplication inline as

1-(p[i,1,1,1]*p[i,2,1,1]*p[i,3,1,1]*p[i,4,1,1]*p[i,5,1,1])

versus

1-(prod(p[i,1:5,1,1])

was a good performance boost, enough to move forward with for future analyses.