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Maths of Pandaria: Healer Haste Breakpoint Cards

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Twitter is a wonderful thing. Thanks to a retweet by Restokin I came across the beginnings of a Resto Druid guide by a blogger by the name of WTSHeals. The guide was very short, but what caught my attention was that they had put the haste break points into a nice neat little card format for people to read. Link

Suffice to say, I was a) impressed, and b) inspired. Binks inspired about something to do with spreadsheets? This can't be good, right? (note: the breakpoints shown above are slightly inaccurate, and Juv even mentions that they are)

Yes, it's not good. It's awesome.

You may also be interested in checking out the Healing Theory posts by Hamlet which cover more general principles of healing.

Notes
  • I have decided not to show any "initial pulses" that may occur when a spell is cast, as there's no consistency to how it works. If there is an initial pulse, the only change is to add 1 to the total number of ticks. The break points as they relate to additional ticks do not change.
  • Healing Stream Totem & Healing Tide Totem are currently not behaving as expected. There are extra ticks being added, due to what we think is server lag. More information can be found here
  • If you found these cards useful you may want to consider donating towards server costs (see the Donation applet at the top of the page)
Changes
  • 17 June 2013: Started updating for 5.4 changes. Split Resto Druid card into three parts: Soul of the Forest, Blooming & Everything Else. Expanded & split Shaman cards into Approximate Totem & Everything Else as well.
  • 11 March 2013: Removed old card for Druids. Should be up to date for 5.2.
  • 13 Sept: Added Mistweaver Monks & Sacred Shield to Paladins
  • 31 Oct: Removed Stay of Execution & Lights Hammer from Paladins, changed to GIF format to save bandwidth
Druid


5.4


Soul of the Forest breakpoints for Rejuvenation & Wild Growth


Glyph of Blooming


Monk


Paladin


Priest




Shaman

Please be aware that the breakpoints for Totems are what should happen, but additional ticks will occur before these breakpoints due to server/client message processing. The cards also show the number of ticks for Totems, excluding the initial pulse. This is so the calculations match up evenly.





5.4








I give you the Healer Haste Breakpoint Cards. I'm not putting any notes onto the cards to say "go for this break point" as I don't know enough to give that sort of advice.

You will note a few minor variations between the breakpoints, which boils down to the slightly odd way in which additional ticks are calculated. The game uses Banker's Rounding to work out when a new tick is added, which essentially means that a decimal ending in 5 is rounded up or down to the nearest even number. Normal rounding will round anything ending in 5 up. Juvenate has just used the normal rounding, rather than banker's rounding, so this is why his numbers are slightly different than mine. Mine should be more accurate though.

Anyway, as I said, if you'd like to see a breakpoint card for your class/spec, let me know (preferably with the spells I need to include along with any extra considerations like Goblin racials).

In the credit where credit is due section, a fair portion of the initial haste breakpoint work came via Keldion at ElitistJerks, and there have been a few tweeks & adjustments thanks to Hamlet, Derevka and Therya in terms of calculations & layouts.

/Binks.

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Updated 16-09-2013 at 09:19 PM by Binkenstein

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  1. Unregistered's Avatar
    I have a completely different result for healing tide totem(+1)

    base Ticks =5
    add Ticks =1
    AS/Raid/Goblin
    (((5+1-0,5)/5)/1,05/1,05/1,01 -1) =-516 haste rating

    maybe you find my mistake
  2. Binkenstein's Avatar
    Quote Originally Posted by Unregistered
    I have a completely different result for healing tide totem(+1)

    base Ticks =5
    add Ticks =1
    AS/Raid/Goblin
    (((5+1-0,5)/5)/1,05/1,05/1,01 -1) =-516 haste rating

    maybe you find my mistake
    That's because you're applying the HoT calculation to something that isn't a hot. The duration of HST & HTT is fixed, so there's no duration shift going on that HoTs see.

    See this post for more information
  3. Unregistered's Avatar
    About the breakpoints for holy paladins, did you take into account the 10% haste bonus from seal of insight? Just checking as I did not see it mentioned anywhere.
  4. Binkenstein's Avatar
    Quote Originally Posted by Unregistered
    About the breakpoints for holy paladins, did you take into account the 10% haste bonus from seal of insight? Just checking as I did not see it mentioned anywhere.
    Nope. I wasn't aware of such a mechanic. I'll take a look at it tomorrow and see whether it should be included.
  5. dekkon's Avatar
    I noticed that you have changed your charts.The breakpoints of HTT and HST seems to be new.But why?Despite the HST,I cannot understand the HTT's breakpoints,may you explain that please?
  6. Highmeh's Avatar
    Quote Originally Posted by Binkenstein
    Nope. I wasn't aware of such a mechanic. I'll take a look at it tomorrow and see whether it should be included.
    Also, Light's Hammer and Stay of Execution do not benefit from haste (as noted by Dedralie at Healiocentric, and I've confirmed this in the game myself), so they should not be listed on the table.

    Thank you for all your work on this!
  7. Binkenstein's Avatar
    Quote Originally Posted by dekkon
    I noticed that you have changed your charts.The breakpoints of HTT and HST seems to be new.But why?Despite the HST,I cannot understand the HTT's breakpoints,may you explain that please?
    HST functions differently from hots, as it has a fixed 15 second duration. This is why the break points are different.
  8. Kirtar's Avatar
    Quote Originally Posted by Binkenstein
    HST functions differently from hots, as it has a fixed 15 second duration. This is why the break points are different.
    So i guess your additional tick for Healing Tide is calculated for the amount of haste required to fit 6 ticks into the set duration of 10 seconds?

    10000 / 6 = 1666.66
    2000 / 1666.66 = 1.2000048 <= 1.2001 = 20.01%

    This should be your formula then? I ask because im kinda confused. Our raids resto shaman got his 6th tick with less than 12% already (excluding the initial heal, so its initial + another 6 ticks already).
  9. Kirtar's Avatar
    Quote Originally Posted by Kirtar
    So i guess your additional tick for Healing Tide is calculated for the amount of haste required to fit 6 ticks into the set duration of 10 seconds?

    10000 / 6 = 1666.66
    2000 / 1666.66 = 1.2000048 <= 1.2001 = 20.01%

    This should be your formula then? I ask because im kinda confused. Our raids resto shaman got his 6th tick with less than 12% already (excluding the initial heal, so its initial + another 6 ticks already).
    I probably just solved this:
    Although the ingame tooltip for Healing Tide shows a 10 second duration, the wowhead.com tooltip shows 11 second duration.

    11000 / 6 = 1833.33
    2000 / 1833.33 = 1.090911074 <= 1.0902 = 9.02%

    We tested this ingame: Our shaman dropped his haste percentage to 8.95% and the 6th was gone.
  10. Binkenstein's Avatar
    Quote Originally Posted by Kirtar
    So i guess your additional tick for Healing Tide is calculated for the amount of haste required to fit 6 ticks into the set duration of 10 seconds?

    10000 / 6 = 1666.66
    2000 / 1666.66 = 1.2000048 <= 1.2001 = 20.01%

    This should be your formula then? I ask because im kinda confused. Our raids resto shaman got his 6th tick with less than 12% already (excluding the initial heal, so its initial + another 6 ticks already).
    Yes, that's correct. No idea why he got it at 12%, I suspect that someone is reading something wrong somewhere
  11. Kirtar's Avatar
    Quote Originally Posted by Binkenstein
    Yes, that's correct. No idea why he got it at 12%, I suspect that someone is reading something wrong somewhere
    I wrote the explanation for this above your post just now.
  12. Hakuna's Avatar
    Curious about this as well, has anyone gotten anything definitive on these breakpoints? I'm seeing inconsistencies. At 20.01% my HTT seems to be 'swapping' between 7 (Initial + 6 ticks) and 8 (Initial + 7 ticks). Same deal with HST, between Initial + 8 and Initial + 9.
  13. Binkenstein's Avatar
    Quote Originally Posted by Hakuna
    Curious about this as well, has anyone gotten anything definitive on these breakpoints? I'm seeing inconsistencies. At 20.01% my HTT seems to be 'swapping' between 7 (Initial + 6 ticks) and 8 (Initial + 7 ticks). Same deal with HST, between Initial + 8 and Initial + 9.
    Yes, we're seeing some odd behaviour as noted here: http://www.totemspot.com/vb/showthread.php?t=6812
  14. Unregistered's Avatar
    can we get a test on the breakpoint of healing tide and healing stream? The +1 numbers seem to be off. Ty.
  15. Binkenstein's Avatar
    Quote Originally Posted by Unregistered
    can we get a test on the breakpoint of healing tide and healing stream? The +1 numbers seem to be off. Ty.
    Please be more specific as to what you want tested. All numbers are after the initial tick, and there's an outstanding bug/issue with tick frequency which we have yet to identify the mechanic for.
  16. Unregistered's Avatar
    Just FYI, been following the chat at EJ regarding haste and ticks. I just did some personal testing, and the info seems a bit wrong everywhere. For example, I am currently at 2676 haste, goblin race, AS talented, with no other buffs present. I am receiving 9 ticks from HST and 7 from HTT. The info from you and EJ suggests that I should get 6 from HTT and 7 from HST. My tooltip reports I am at 12.73% haste with 2676 haste (+6.30%). This testing seems stable, have done many times with same results.

    Hope this helps, but it makes me wonder what goes on.
  17. Binkenstein's Avatar
    Quote Originally Posted by Unregistered
    Just FYI, been following the chat at EJ regarding haste and ticks. I just did some personal testing, and the info seems a bit wrong everywhere. For example, I am currently at 2676 haste, goblin race, AS talented, with no other buffs present. I am receiving 9 ticks from HST and 7 from HTT. The info from you and EJ suggests that I should get 6 from HTT and 7 from HST. My tooltip reports I am at 12.73% haste with 2676 haste (+6.30%). This testing seems stable, have done many times with same results.

    Hope this helps, but it makes me wonder what goes on.
    No, it's not incorrect. One, you're missing the "not including initial ticks" bit, and two, read http://www.totemspot.com/vb/entry.php?b=72
  18. Nazoikar's Avatar
    I started working on an alt MW monk and our main MW monk told me that as of 5.1 there is a new rem/em breakpoint at 3145 (tiger stance), or 4718 (serpent stance). I'm not positive the math behind it, apparently its in the MW section of EJ. Thought I'd let you know because I'm such a big fan of the haste breakpoints
  19. Binkenstein's Avatar
    Quote Originally Posted by Nazoikar
    I started working on an alt MW monk and our main MW monk told me that as of 5.1 there is a new rem/em breakpoint at 3145 (tiger stance), or 4718 (serpent stance). I'm not positive the math behind it, apparently its in the MW section of EJ. Thought I'd let you know because I'm such a big fan of the haste breakpoints
    Yeah, Dayani pointed out a few faults with the Monk card yesterday that I need to fix.
  20. Taser's Avatar
    Do you use any additional factors when calculating the breakpoints?

    As Breakpoints for a Monk's Zen Sphere I calculated 6.25%, 18.75% and 31.25% compared to your 6.24, 18.73, 31.28
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