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Math is hard

May 5th, 2009 Chris Anthony Leave a comment Go to comments
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So, I’ve been talking about Haste like the calculation you want to determine how much Haste you need is 1.00 – (Desired Cast Time / Current Cast Time). It’s not. It’s (CCT/DCT) – 1. When I said that you needed 33% Haste to get to a 1.0s global cooldown, I was wrong. I was using the first calculation, 1 – (1.0/1.5), or 0.33. I should have been using the second, (1.5/1.0) – 1, or 0.5 – that’s 50% haste, and quite a bit harder to get to than I’ve been saying.

So, sorry for misleading you – mea culpa.

For the record, you already have 6% from Enlightenment, and another 25% from Borrowed Time. Haste percentages stack multiplicatively (Haste Rating is additive, and then you multiply the percentage you get from HR into the rest of the haste percentages you have), so between Enlightenment and Borrowed Time you get 32.5% haste. Since haste is multiplicative, you can divide your target haste (1.50) by the existing haste (1.325) to get the haste you need; that’s 1.132, or 13.2% haste from gear and buffs. That ends up being a little under 433 Haste Rating. That’s still eminently do-able, but not nearly as simple as I’d made it out to be.

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  1. May 5th, 2009 at 20:59 | #1

    Are you sure Borrowed Time effects the GCD? I don't think it does, but I might be wrong.

    [Reply]

  2. jedimax
    May 6th, 2009 at 02:51 | #2

    433 Haste is not hard. I have 470 Haste Rating in Naxx-Gear ( http://eu.wowarmory.com/character-sheet.xml?r=E... ). So its easy doable.

    And i think (like bob) that this BT doesnt affect GCD

    [Reply]

  3. May 6th, 2009 at 03:52 | #3

    In my experience, yes, it does. The tooltip is pretty explicit, too: it grants 25% spell haste, not a 25% cast time reduction or something else that sounds like spell haste but has a slightly different meaning.

    [Reply]

  4. May 6th, 2009 at 03:53 | #4

    I didn't mean to imply that it was hard! :) Just that I've been going around thinking that pretty much all I needed was the buff food, and that's not right. :)

    As for Borrowed Time, see above; my experience and the tooltip bear out BT's affecting the global cooldown.

    [Reply]

  5. May 7th, 2009 at 00:13 | #5

    As a lowbie Disc Priest with no Haste outside of Enlightenment, I can DEFINITELY feel the difference between a GCD after Borrowed Time and one without it.

    Yeah, yeah, doing theorycraft off of “feeling” isn't the best way to do it, but you can definitely feel the difference when you have very little natural haste.

    [Reply]

  6. May 7th, 2009 at 15:48 | #6

    Well there you go. That alone is pretty good reason to use lots of instants (PW:S).

    I was confused probably because I tend to run around like i'm in the wild west with a pair of +505 haste on proc trinkets (Egg and Embrace).

    A little niggling voice deep down the back of my brain is wondering how long before instant casts consume Borrowed Time.

    [Reply]

  7. May 8th, 2009 at 01:10 | #7

    I wasn't aware in your previous posts that you had it miscalculated. Perhaps you valued haste higher because of it? Hmm. Still going to lurk on your blog :) I wanna know where you're going with this.

    Anyways, an interesting point: various sources of haste stack multiplicatively for your cast time but it doesn't stop there. When checking your throughput you get:
    new hps = (old_base_heal/old_base_time) (1 + haste1) (1+haste2)… (1+crit/2) etc..
    So in terms of throughput, your sources of haste aren't just multiplicative with eachother but with all factors that increase your throughput (including SP). As they are a product, the largest product can be created by balancing the stats (not just A > B but A/B = best ratio). And this balance is quite easy to work out! Since all your throughput stats gain equally from borrowed time & enlightment, you will obtain the same ratio whether you include them or not. You can work out the balance between haste, SP, crit etc without BT and Enl.
    (Unless you hit the softcap)

    Maths can be fun, no? :)

    [Reply]

  1. May 7th, 2009 at 09:25 | #1
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