Potera wrote:
Nothing wrong with the math listed. The math listed could mis-represent the DPS increase of >35% and <35% (that is, that it's a percentage increase and not an additive increase).
However, assuming that the numbers are semi-accurate representations, the math is fine.
If your DPS above a certain percentage health (N%) is X, and below is X * Y, and heroism boosts your DPS by Z for W seconds, and the total boss health is H:
H * (1 - N) = hit points above the "low health" threshold
H * (1 - N) / X = Time to get boss to the threshold
H * N = hit points below the threshold
H * N / (X * Y) = Time to get boss from threshold to dead
Important point is that: Time = Health / (Damage/sec). In other words, Time = Health * Sec/Dmg
X * Z * W = Hit points of damage done while Heroism active, if above threshold
X * Y * Z * W = Hit points of damage done while Heroism active, if below threshold
Case 1: Heroism at 35%
Time to reach threshold = H * (1 - N) / X (Same as above)
Time to do damage while affected by Heroism: W
Damage done: X*Y*Z*W
Remaining HP: H*N - X*Y*Z*W
Time to finish off boss from that point: (H*N - X*Y*Z*W) / (X*Y)
Total time: H * (1 - N) / X + W + (H*N - X*Y*Z*W) / (X*Y)
= H/X - HN/X + W + HN/XY - XYZW/XY
= H/X - HN/X + W + HN/XY - ZW
Case 2: Heroism at 100%
Time to do damage while affected by Heroism: W
Damage done: X*Z*W
Remaining HP to Threshold: H * (1 - N) - X*Z*W
Time to get boss to threshold from that point: (H * (1 - N) - X*Z*W) / X
Time to get boss from threshold to 0: H * N / (X * Y)
Total Time: W + (H * (1 - N) - X*Z*W) / X + H * N / (X * Y)
= W + ( H - HN - XZW ) / X + HN / XY
= W + H/X - HN/X - XZW/X + HN/XY
= W + H/X - HN/X - ZW + HN/XY
= H/X - HN/X + W + HN/XY - ZW
Notice that the formula for total time to boss death yields the same equation in both cases.
Again, this is reliant on Z and Y being percentage increases, but does not dictate WHAT percents they are. They could be anything. This also means that the Heroism doesn't have to correlate into an exact 40% increase for this to work. The percent can also vary amongst classes, when you consider that the raid-wide DPS will increase by a certain amount with heroism up vs. without it.
Basically, it boils down to Heroism rocks, use it at the time when you can best stack it with trinkets and cooldowns, generally the start of a fight, unless there's a specific phase which benefits from being burned through (Maexxna enrage, Thane kill on 4H, etc).
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