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	<title>Comments on: Method: Coefficient Testing</title>
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	<link>http://www.resto4life.com/2008/03/08/method-coefficient-testing/</link>
	<description>So many numbers, you'll think you're getting audited</description>
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		<title>By: Phaelia</title>
		<link>http://www.resto4life.com/2008/03/08/method-coefficient-testing/comment-page-1/#comment-3360</link>
		<dc:creator>Phaelia</dc:creator>
		<pubDate>Tue, 15 Apr 2008 16:42:35 +0000</pubDate>
		<guid isPermaLink="false">http://www.resto4life.com/2008/03/08/method-coefficient-testing/#comment-3360</guid>
		<description>Wow, thanks Erdluf! I may actually have to bookmark your comment for future reference. :-D Glad you enjoy the blog!!</description>
		<content:encoded><![CDATA[<p>Wow, thanks Erdluf! I may actually have to bookmark your comment for future reference. <img src='http://www.resto4life.com/wp-includes/images/smilies/icon_biggrin.gif' alt=':-D' class='wp-smiley' />  Glad you enjoy the blog!!</p>
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		<title>By: Erdluf</title>
		<link>http://www.resto4life.com/2008/03/08/method-coefficient-testing/comment-page-1/#comment-3358</link>
		<dc:creator>Erdluf</dc:creator>
		<pubDate>Tue, 15 Apr 2008 13:48:21 +0000</pubDate>
		<guid isPermaLink="false">http://www.resto4life.com/2008/03/08/method-coefficient-testing/#comment-3358</guid>
		<description>Your testing (and others) pretty clearly shows untalented regrowth coefficients are very nearly 30% for the direct heal and 70% for HoT.

Theorycraft for &quot;pure&quot; direct spells says a direct spell&#039;s coefficient is (cast_time)/3.5, using untalented cast-times.  Instant-casts use a &quot;cast-time&quot; of 1.5s.  HT and SF both get 100%.  Wrath gets 2/3.5 = 57.1%.

Theorycraft for &quot;pure&quot; HoT/DoT spells says the coefficient is duration/15.  Rejuv gets 80%.  IS would also get 80%, but it is &quot;penalized&quot; 5% because in addition to doing damage, it applies an extra debuff to the target.  As a result IS gets only 80%*95% = 76%.

For hybrid spells (MF, Regrowth) the computation involves two steps.  First compute the coefficients for both parts as-if they were pure spells:

Direct
MFA = 1.5/3.5 = 42.9%
MFB = 12/15 = 80%

RgA = 2/3.5 = 57.1%
RgB = 21/15 = 140%

The coefficients then get reduced by a proportioning rule.  wowwiki (http://www.wowwiki.com/Formulas:Plus_damage_and_Plus_healing) currently says the proportioning rule is based on the numbers above meaning

MF direct = MFA * MFA/(MFA+MFB) = 52.1%
MF dot = MFB * MFB/(MFA+MFB) = 15.0%

Rg direct = RgA * RgA/(RgA+RgB)= 16.6%
Rg hot = RgB * RgB/(RgA+RgB) = 99.4%

The MF numbers look pretty good, but as you pointed out, the Rg numbers are way off.  Elitist Jerks says the correct proportioning rule is based on base damage, not time.  That means

MF direct = MFA * 331/(331+600) = 15.2%
MF dot = MFB * 600/(331+600) = 51.6%

Rg direct = RgA * 1285/(1285+1274) = 28.7%
Rg hot = RgB * 1274/(1285+1274) = 69.7%

Those numbers look pretty good for both spells.  Maybe if your +heal is high enough, you can tell if the Regrowth ticks are using a 10% or a 69.7%/7=9.957% coefficient.

Note that some spells just seem to break the rules.  Lifebloom doesn&#039;t seem to fit at all, although pre-nerf the bloom coefficent was pretty close to what you&#039;d expect from an instant cast direct heal (1.5/3.5 = 42.9%).

I love your writing.  It is the only resto blog this featherkin reads on a regular basis.</description>
		<content:encoded><![CDATA[<p>Your testing (and others) pretty clearly shows untalented regrowth coefficients are very nearly 30% for the direct heal and 70% for HoT.</p>
<p>Theorycraft for &#8220;pure&#8221; direct spells says a direct spell&#8217;s coefficient is (cast_time)/3.5, using untalented cast-times.  Instant-casts use a &#8220;cast-time&#8221; of 1.5s.  HT and SF both get 100%.  Wrath gets 2/3.5 = 57.1%.</p>
<p>Theorycraft for &#8220;pure&#8221; HoT/DoT spells says the coefficient is duration/15.  Rejuv gets 80%.  IS would also get 80%, but it is &#8220;penalized&#8221; 5% because in addition to doing damage, it applies an extra debuff to the target.  As a result IS gets only 80%*95% = 76%.</p>
<p>For hybrid spells (MF, Regrowth) the computation involves two steps.  First compute the coefficients for both parts as-if they were pure spells:</p>
<p>Direct<br />
MFA = 1.5/3.5 = 42.9%<br />
MFB = 12/15 = 80%</p>
<p>RgA = 2/3.5 = 57.1%<br />
RgB = 21/15 = 140%</p>
<p>The coefficients then get reduced by a proportioning rule.  wowwiki (<a href="http://www.wowwiki.com/Formulas:Plus_damage_and_Plus_healing" rel="nofollow">http://www.wowwiki.com/Formulas:Plus_damage_and_Plus_healing</a>) currently says the proportioning rule is based on the numbers above meaning</p>
<p>MF direct = MFA * MFA/(MFA+MFB) = 52.1%<br />
MF dot = MFB * MFB/(MFA+MFB) = 15.0%</p>
<p>Rg direct = RgA * RgA/(RgA+RgB)= 16.6%<br />
Rg hot = RgB * RgB/(RgA+RgB) = 99.4%</p>
<p>The MF numbers look pretty good, but as you pointed out, the Rg numbers are way off.  Elitist Jerks says the correct proportioning rule is based on base damage, not time.  That means</p>
<p>MF direct = MFA * 331/(331+600) = 15.2%<br />
MF dot = MFB * 600/(331+600) = 51.6%</p>
<p>Rg direct = RgA * 1285/(1285+1274) = 28.7%<br />
Rg hot = RgB * 1274/(1285+1274) = 69.7%</p>
<p>Those numbers look pretty good for both spells.  Maybe if your +heal is high enough, you can tell if the Regrowth ticks are using a 10% or a 69.7%/7=9.957% coefficient.</p>
<p>Note that some spells just seem to break the rules.  Lifebloom doesn&#8217;t seem to fit at all, although pre-nerf the bloom coefficent was pretty close to what you&#8217;d expect from an instant cast direct heal (1.5/3.5 = 42.9%).</p>
<p>I love your writing.  It is the only resto blog this featherkin reads on a regular basis.</p>
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		<title>By: Zackoria</title>
		<link>http://www.resto4life.com/2008/03/08/method-coefficient-testing/comment-page-1/#comment-3084</link>
		<dc:creator>Zackoria</dc:creator>
		<pubDate>Sun, 16 Mar 2008 20:56:34 +0000</pubDate>
		<guid isPermaLink="false">http://www.resto4life.com/2008/03/08/method-coefficient-testing/#comment-3084</guid>
		<description>@Leighbra on T4 set bonus, yeah... The set bonuses for T4 are allmost worthless. I never even took T4 healing gloves over the non tier kara gloves because of that. Two of my close friends had reported that their mana procs never did...well...porc and that the set bonus was not worth it. I must allso add that after getting my T4 shoulders, gloves, and pants for my offspec balance set that it allmost never procs for balance as well. At least the Balance 4 piece bonus actually might be used at some point, at least it used to be usfull back when we actually worried about mana. =P</description>
		<content:encoded><![CDATA[<p>@Leighbra on T4 set bonus, yeah&#8230; The set bonuses for T4 are allmost worthless. I never even took T4 healing gloves over the non tier kara gloves because of that. Two of my close friends had reported that their mana procs never did&#8230;well&#8230;porc and that the set bonus was not worth it. I must allso add that after getting my T4 shoulders, gloves, and pants for my offspec balance set that it allmost never procs for balance as well. At least the Balance 4 piece bonus actually might be used at some point, at least it used to be usfull back when we actually worried about mana. =P</p>
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		<title>By: Leighbra</title>
		<link>http://www.resto4life.com/2008/03/08/method-coefficient-testing/comment-page-1/#comment-2960</link>
		<dc:creator>Leighbra</dc:creator>
		<pubDate>Mon, 10 Mar 2008 08:52:49 +0000</pubDate>
		<guid isPermaLink="false">http://www.resto4life.com/2008/03/08/method-coefficient-testing/#comment-2960</guid>
		<description>Wow, this was an interesting experiment.

Over 100 casts, my low was 1984 and the high was 2135. This is with my +1602 healing, and every healing talent you can get (1/0/60 here).

Two things that I found really interesting while casting was how often I was getting a critical heal, and the proc of my t4 bonus. It took me 407 casts to get 100 non-critical heals. That&#039;s with 5/5 Improved Regrowth, but still that&#039;s much better than the 50% I was expecting (I have only a 10.93% base crit bonus).

I wasn&#039;t so excited to see that in those 407 heals, I gained the 120 mana from &quot;infusion&quot; from my t4 2-pc bonus set only 7 times. At one point I had 76 casts in between infusions. At only 120 mana per infusion, I&#039;m not going to lose much sleep when the decision to replace t4 pieces and lose that bonus comes up.</description>
		<content:encoded><![CDATA[<p>Wow, this was an interesting experiment.</p>
<p>Over 100 casts, my low was 1984 and the high was 2135. This is with my +1602 healing, and every healing talent you can get (1/0/60 here).</p>
<p>Two things that I found really interesting while casting was how often I was getting a critical heal, and the proc of my t4 bonus. It took me 407 casts to get 100 non-critical heals. That&#8217;s with 5/5 Improved Regrowth, but still that&#8217;s much better than the 50% I was expecting (I have only a 10.93% base crit bonus).</p>
<p>I wasn&#8217;t so excited to see that in those 407 heals, I gained the 120 mana from &#8220;infusion&#8221; from my t4 2-pc bonus set only 7 times. At one point I had 76 casts in between infusions. At only 120 mana per infusion, I&#8217;m not going to lose much sleep when the decision to replace t4 pieces and lose that bonus comes up.</p>
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		<title>By: Phaelia</title>
		<link>http://www.resto4life.com/2008/03/08/method-coefficient-testing/comment-page-1/#comment-2956</link>
		<dc:creator>Phaelia</dc:creator>
		<pubDate>Mon, 10 Mar 2008 03:44:26 +0000</pubDate>
		<guid isPermaLink="false">http://www.resto4life.com/2008/03/08/method-coefficient-testing/#comment-2956</guid>
		<description>@Ermengol: I&#039;d love to hear your thoughts on my most recent article. As a historical proponent of the use of Regrowth, I bet you&#039;re hopping up and down with excitedment over the reduced mana cost! :-)

@Nebelmond: You rock. Thank you for this addon. I can&#039;t wait to try it out for myself!

@Kalaghan: Thanks for the correction! I&#039;ve edited the post.</description>
		<content:encoded><![CDATA[<p>@Ermengol: I&#8217;d love to hear your thoughts on my most recent article. As a historical proponent of the use of Regrowth, I bet you&#8217;re hopping up and down with excitedment over the reduced mana cost! <img src='http://www.resto4life.com/wp-includes/images/smilies/icon_smile.gif' alt=':-)' class='wp-smiley' /> </p>
<p>@Nebelmond: You rock. Thank you for this addon. I can&#8217;t wait to try it out for myself!</p>
<p>@Kalaghan: Thanks for the correction! I&#8217;ve edited the post.</p>
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		<title>By: Kalaghan</title>
		<link>http://www.resto4life.com/2008/03/08/method-coefficient-testing/comment-page-1/#comment-2953</link>
		<dc:creator>Kalaghan</dc:creator>
		<pubDate>Sun, 09 Mar 2008 20:38:11 +0000</pubDate>
		<guid isPermaLink="false">http://www.resto4life.com/2008/03/08/method-coefficient-testing/#comment-2953</guid>
		<description>Just an FYI, I think you meant to say 2-piece T5. Two piece T6 reduces the swiftmend cooldown.</description>
		<content:encoded><![CDATA[<p>Just an FYI, I think you meant to say 2-piece T5. Two piece T6 reduces the swiftmend cooldown.</p>
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		<title>By: Nebelmond</title>
		<link>http://www.resto4life.com/2008/03/08/method-coefficient-testing/comment-page-1/#comment-2951</link>
		<dc:creator>Nebelmond</dc:creator>
		<pubDate>Sun, 09 Mar 2008 14:50:10 +0000</pubDate>
		<guid isPermaLink="false">http://www.resto4life.com/2008/03/08/method-coefficient-testing/#comment-2951</guid>
		<description>Args, accidentally submitted the wrong email adress in the post above so Gravatar did not recognize me any more. :-)</description>
		<content:encoded><![CDATA[<p>Args, accidentally submitted the wrong email adress in the post above so Gravatar did not recognize me any more. <img src='http://www.resto4life.com/wp-includes/images/smilies/icon_smile.gif' alt=':-)' class='wp-smiley' /> </p>
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		<title>By: Nebelmond</title>
		<link>http://www.resto4life.com/2008/03/08/method-coefficient-testing/comment-page-1/#comment-2950</link>
		<dc:creator>Nebelmond</dc:creator>
		<pubDate>Sun, 09 Mar 2008 14:43:03 +0000</pubDate>
		<guid isPermaLink="false">http://www.resto4life.com/2008/03/08/method-coefficient-testing/#comment-2950</guid>
		<description>Thanks Phae for another great analysis!

I wrote a quick-and-dirty addon for the PTR, which counts your non-critical regrowths and calculates the healing coefficient. Feel free to download it here: http://81.169.188.141/RegrowthCoefficient.zip. Just type &quot;/rc show&quot; after a few Regrowths to see its values in your default chat. This should simplify the data gathering. :-)

At 1847 +Healing on PTR Build 8031 my coefficient is as follows:
With no talents at all: ~0.29
With 5/5 Gift of Nature: ~0.39
With 5/5 Gift of Nature and 5/5 Empowered Rejuvenation: ~0.45</description>
		<content:encoded><![CDATA[<p>Thanks Phae for another great analysis!</p>
<p>I wrote a quick-and-dirty addon for the PTR, which counts your non-critical regrowths and calculates the healing coefficient. Feel free to download it here: <a href="http://81.169.188.141/RegrowthCoefficient.zip" rel="nofollow">http://81.169.188.141/RegrowthCoefficient.zip</a>. Just type &#8220;/rc show&#8221; after a few Regrowths to see its values in your default chat. This should simplify the data gathering. <img src='http://www.resto4life.com/wp-includes/images/smilies/icon_smile.gif' alt=':-)' class='wp-smiley' /> </p>
<p>At 1847 +Healing on PTR Build 8031 my coefficient is as follows:<br />
With no talents at all: ~0.29<br />
With 5/5 Gift of Nature: ~0.39<br />
With 5/5 Gift of Nature and 5/5 Empowered Rejuvenation: ~0.45</p>
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		<title>By: Ermengol</title>
		<link>http://www.resto4life.com/2008/03/08/method-coefficient-testing/comment-page-1/#comment-2946</link>
		<dc:creator>Ermengol</dc:creator>
		<pubDate>Sun, 09 Mar 2008 02:01:46 +0000</pubDate>
		<guid isPermaLink="false">http://www.resto4life.com/2008/03/08/method-coefficient-testing/#comment-2946</guid>
		<description>Oh, I didn&#039;t know Empowered Rejuvenation affected regrowth, that&#039;s good news. Funny, however, that in my experiment explained in http://www.resto4life.com/2007/10/24/tier-5-set-bonus-and-saving-for-season-3/ I got around 37%, where I didn&#039;t consider this talent (yet nobody corrected me!)

Anyway, I&#039;ve always found regrowth extremely useful and this makes it even better. I hope those few regrowth-phobics still walking around with HT spam will now see the light and embrace the spirit of the tree ;)</description>
		<content:encoded><![CDATA[<p>Oh, I didn&#8217;t know Empowered Rejuvenation affected regrowth, that&#8217;s good news. Funny, however, that in my experiment explained in <a href="http://www.resto4life.com/2007/10/24/tier-5-set-bonus-and-saving-for-season-3/" rel="nofollow">http://www.resto4life.com/2007/10/24/tier-5-set-bonus-and-saving-for-season-3/</a> I got around 37%, where I didn&#8217;t consider this talent (yet nobody corrected me!)</p>
<p>Anyway, I&#8217;ve always found regrowth extremely useful and this makes it even better. I hope those few regrowth-phobics still walking around with HT spam will now see the light and embrace the spirit of the tree <img src='http://www.resto4life.com/wp-includes/images/smilies/icon_wink.gif' alt=';)' class='wp-smiley' /> </p>
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		<title>By: Phaelia</title>
		<link>http://www.resto4life.com/2008/03/08/method-coefficient-testing/comment-page-1/#comment-2945</link>
		<dc:creator>Phaelia</dc:creator>
		<pubDate>Sat, 08 Mar 2008 23:56:34 +0000</pubDate>
		<guid isPermaLink="false">http://www.resto4life.com/2008/03/08/method-coefficient-testing/#comment-2945</guid>
		<description>@Hecuba: Very interesting! I didn&#039;t realize that Empowered Rejuvenation affects the direct component of Regrowth. I was able to confirm this on the PTR, and that does explain why Blizzard has said that Lifebloom&#039;s direct portion has not properly been benefitting from Empowered Rejuvenation. By detalenting back to only Gift of Nature (without the benefit of Empowered Rejuvenation) and finding a new average heal of 1964.5, I came up with a coefficient of 0.3952 (1964.5-1325.5/1617). Dividing out Gift of Nature, the base coefficient is around 0.3592 which is &lt;em&gt;still&lt;/em&gt; very different from the value being presented on WoWWiki. I believe that Empowered Rejuvenation affects different spells at different rates and may not afford the entire 20% benefit, particularly for spells with a direct and HoT component. In this case, it appears to be adding 15.94%.

It does seem that WoWWiki should be corrected. The relevant number in my mind will be one with all the numbers included since you can&#039;t break them apart in a predictable manner (particularly Empowered Rejuvenation).

It would seem that with all the relevant talents (GoN, Empowered Rejuv, Imp. Regrowth) figured in, the coefficient comes out to 0.5941. Without these included, it&#039;s around 0.3592. Things are looking good for Regrowth. Still, why couldn&#039;t Blizzard just make all this easy with a handy tab in your character sheet that breaks all this down? ^_^</description>
		<content:encoded><![CDATA[<p>@Hecuba: Very interesting! I didn&#8217;t realize that Empowered Rejuvenation affects the direct component of Regrowth. I was able to confirm this on the PTR, and that does explain why Blizzard has said that Lifebloom&#8217;s direct portion has not properly been benefitting from Empowered Rejuvenation. By detalenting back to only Gift of Nature (without the benefit of Empowered Rejuvenation) and finding a new average heal of 1964.5, I came up with a coefficient of 0.3952 (1964.5-1325.5/1617). Dividing out Gift of Nature, the base coefficient is around 0.3592 which is <em>still</em> very different from the value being presented on WoWWiki. I believe that Empowered Rejuvenation affects different spells at different rates and may not afford the entire 20% benefit, particularly for spells with a direct and HoT component. In this case, it appears to be adding 15.94%.</p>
<p>It does seem that WoWWiki should be corrected. The relevant number in my mind will be one with all the numbers included since you can&#8217;t break them apart in a predictable manner (particularly Empowered Rejuvenation).</p>
<p>It would seem that with all the relevant talents (GoN, Empowered Rejuv, Imp. Regrowth) figured in, the coefficient comes out to 0.5941. Without these included, it&#8217;s around 0.3592. Things are looking good for Regrowth. Still, why couldn&#8217;t Blizzard just make all this easy with a handy tab in your character sheet that breaks all this down? ^_^</p>
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