Tested Trixie Treat for Max Speed Hits per Second

I did the "Boss3 test" for Trixie Treat last night.  The "Boss3 test" is ... I think I need to write a post about that.  OK, done.  Read that.

Actually I did my first run at testing TT a few nights ago.  But it failed horribly: I put it down, then looked and PD was dead!  Oops, oh yeah, you can't test summoners using the "standard" boss3 test.  The problem is that whenever a hero summons, the heroes that are summoned are now "last".  And thus the "last-hero-scatter" trick fails.

On that run, I quickly added a few random devoes and did the run.  It did not test anything, but I did at least get the honor badges.

So how to test TT?  Well, at max speed, 2 heroes plus four pumpkies should be adding 450 energy/s to the boss. Then the boss adds another 15 from his own hit. To get rid 465energy/s, we need 93 energy scattered per 200ms. That's challenging. With scatter4 crested on TT, would need 73 from some other hero. I can do that with HQ because mine has scatter8. There's no other way I can do that.

So I decided to run three heroes for the TT tests: PD, HQ, and TT.  Adding a third hero has the downside that the boss will run out of hitpoints. So I'll have to make more assumptions to get a decent number. Challenge accepted.

Testing HQ

First things first, though.  I did a run with just PD and HQ.  This gives me a good baseline to work from.

Boss3 testing HQ.

Here's the result:

Boss3 HQ result.

64953661 damage.  We know that at max speed HQ gets 5.5 HPS (hits per second).  PD gets the minimum 5 HPS.   Somewhat arbitrarily, I am estimating the ramp-up by removing 3 seconds from PD, and 5 seconds from other heroes.

(How long does my PD ramp up take?  He starts out hitting every 600ms; because he is being hit he'll proc after his first or second hit.  I am guessing 2nd.  So, 1200ms to one stack.  Then his speed is 400ms.  Over the next 2 seconds the boss hits him twice, and he hits 5 times.  Then he procs again: 2 stacks.  Now his speed is 200ms.  PD is fully ramped at this point.  Over the next 1.2s, the boss hits him once and he hits 6 times.  Then he procs to 3 stacks.  At this point he has spent 3.4s.  It takes him 4.6s to reach 4 stacks, and 5.8 to reach 5.

Even 3 stacks is enough to get 30000 damage on Boss3 from any reasonably high level hero.  But speedwise, TT and HQ both need 5 stacks to get to 200ms.

All in all, because damage is ramping up exponentially no hero will get very much until almost fully ramped in speed.  So, as an estimate I am going to use 5 seconds as the ramp-up time, and pretend that all heroes get zero damage during ramp-up and full damage (and speed) after it.  PD similarly gets 3 seconds as his ramp-up.)

OK, now we have enough numbers we can compute.  First we compute DPS for PD as follows.  PD and HQ together got 64953661, in 180s.  So, that is 177s of PD damage (at 5HPS), and 175s of HQ damage (at 5.5HPS).  Thus, total hits applied are estimated to be 1847.5.  (Multiply by 35000: this checks out very well with the actual damage applied.)

Testing TT

OK, with HQ's number in hand we proceed to the TT test.  TT gets Scatter 4.  HQ has her talent, scatter 8.   That, along with the pumpkies, should hopefully be just enough.

Boss3 testing HQ+TT.

I did the run and it worked -- no procs.

Here's the thing partway through:

Boss3 HQ+TT test almost done.

The result?  120m damage exactly: killed the boss, just the 3 of them.  (TT does a lot of damage.)  I knew this would happen, and so was carefully watching the time.  There were 53 seconds left when it ended.

53 seconds left out of 180.  So, 127 seconds spent.  But some of that was spent when PD was ramping up, and we need to account for that.  As above, we assume PD ramps in 3 seconds, others 5 seconds.

So now we can compute what TT got.  Over a run of 127s, PD should have gotten 124s of damage, and HQ 122s.  Thus, they should have totaled 21700000 damage and 23485000 damage respectively.  Total: 45185000.  The remaining damage is TT's: that is 74815000 damage.  This was done by TT in 122s (effectively), so her DPS is 613238.  We divide by 35000 to convert this to HPS: 17.5.

Conclusion: at top speed, Trixie Treat (and her pumpkies) average 17.5 HPS.  Trixie herself gets 5.1 HPS.  So the remaining 12.4HPS are coming from pumpkies.