League Of Legends

We've already observed that in an ideal fight, Udyr wants to hit a button every single opportunity. With no cooldown reduction, this is out-and-out impossible, and represents a DPS loss. Secondly, we know very well that a big chunk of our DPS comes from the Tiger activation, so it logically follows that more Tiger activations = more damage. Still, I'll show my work.

If you hit Tiger once per 6 seconds, at level cap and with the item build listed above, you're looking at about 655 damage per 6 seconds, or 109 DPS. If you get the blue golem buff (17.5% CDR), you've got a five second cycle, which means you could just press Q-W-E-R repeat, accounting for the GCD and reasonable latency; this boosts the Tiger proc to 131 DPS. If you've got CDR runes and a Brutalizer on top of that, you can move on to Q-W-R-Q-E-R Repeat (assuming a Bear Charge initiate), which bumps the Tiger proc to 163.75 DPS. Upgrade Brutalizer to Ghostblade and you're up to 182 DPS; it's an exponential gain until you hit the cap. For comparative purposes, you'd need another 77 AD to match the damage bonus you get to the Tiger activation just for the first 10% of CDR and 257 AD to match the full 40% CDR. I know it's an apples to oranges comparison, since I'm not figuring autoattack damage, which is a messy thing to calculate because it depends on your AS. Even assuming a 1.5 AS, which is a bit generous but compares well against the 40% reduction, the math is as follows. 4 attacks in 3.5 seconds plus a larger Tiger proc means that you'd have to buy and charge a Bloodthirster to roughly equal the damage gain that you get from a Ghostblade, some runes, and the blue buff. Last I checked, Youmu's Glostblade is an awful lot cheaper than Bloodthirster, and doesn't lose stacks on a death, and this all doesn't count the armor penetration of the Ghostblade. And yes, I know that you could just get a Bloodthirster and the Blue buff, but in doing so you've just proven my point for me: CDR is great for Udyr