Best in Bags and Sims not adding up

I seem to be losing a lot of dps in sims the way BiB tells me to set my gear.

BiB says I should be running this way: Not Available

I built my character out this way:

It says that this should be a I believe 1.6% dps downgrade but it does far more in sims. Im not sure which one I should run with.

That does look like a larger error than would be expected. Can you include your addon export string so we can try to reproduce the suggestions?