I retract my previous statement having run some sims, it's not a ton of DPS, but it is there. Using the attached build and skill priorities I tweaked the timing of boulder toss around the 5 second duration of the F/R buff.
Best sim was DPS: 133.013 T when set to 4.8seconds after previous cast, for a 99.86% uptime, thus making sure both FC and AS/BT sides of the F/R buff are active when AS/BT is cast.
Further sims at 0.1sec intervals resulted in a DPS drop off. That drop of reaches 2% at 4.5seconds (Cast too early) and at 5.2 seconds (Cast too late). The DPS drop off increases the further away from 4.8 seconds you get.
If you take a look at
http://www.d3planner.com/788527917 you'll see the gear, skills, and priorities used. I took
http://ptr.d3planner.com/987309363 from the OP and dropped the paragon and Gems down to closer to my personal short term aspirations (approaching Paragon 800, level 70 legendary gems, level 60 augments).
Also noted the sim on 987309363 as posted isn't set up with a rotation (it spams Furious charge and Battle Rage, never gets down the list to using Ancient Spear, or Sprint as FC is always available). The simmed DPS of 87T with para 2000, lvl 100 gems and lvl 90 augments jumps to 257 Trillion using my priority list.
Hopefully I got the sim right with near 100% uptime on WOTB, Ancients, BattleRage, Sprint, Furious charge half of Focus/Restraint, and Ancient Spear half of Focus/Restraint.
Of note NO PARAGON in Max Fury provides the best DPS because you have 50 more points to put in Strength, but Playstyle wise I know the OP uses health % in the determination of when to cast Ancient Spear, so more fury would equal a bigger spot heal, but less DPS. Going to test this evening, see if my barb stays alive!
END RESULT: If the bot doesn't use ancient spear prematurely to heal for max DPS it should cast AS/BT every 4.8secs (or with 0.2 remaining on spender half of F/R buff) for a 2% DPS increase.
p.s. Don't even think about trying Three Hundredth Spear and/Or Skullar's Salvation. Simmed DPS drops to 7.3Trillion with those.