Difference between revisions of "Procs Per Minute"

Latest revision as of 06:10, 10 December 2013

Overview

Procs Per Minute (PPM) is the "average" number of times per minute an enhancement's special effect will attempt to fire. This mechanic is used exclusively by attuned enhancements. Invention System enhancements continue to utilize a flat percentage chance per power execution.

Procs Per Minute are calculated off the base recharge + activation time of a power, not its final enhanced or buffed number. So a power that takes 12 seconds to recharge and activate will have the same PPM as the same power enhanced and buffed enough to halve its recharge.

Changes to Procs Per Minute will be coming in Issue 24 that will invalidate the current functionality of these procs. Due to the nature of the beta process, the changes will be constantly fluctuating and thus these changes will not be listed in Paragon Wiki until they have been more concretely finalized. There is a discussion thread in the Developers' Corner section of the Official Forums, where Phil "Synapse" Zeleski announced the upcoming changes.

In addition, when this change comes, all enhancement procs will utilize PPM, not just attuned enhancements.

All of the information in this article pertains to the current functionality of Procs Per Minute.

Calculating Chance to Proc

The current formulae used by the game:

If power is a click: PPM * ((Base Recharge Time + Time To Activate) / (60 * Area Factor))

If power is not a click: PPM * ((Activate Period) / (60 * Area Factor))

Editor's Note: According to the functional description of the PPM expressions Synapse provided, they are incorrect as he wrote them. The expressions as written above indicate the correct locations for the parentheses to create the order of operations he describes.

When accounting for powers that potentially can effect multiple targets and the proc potentially hitting off each target, the game discounts the probability of proc-ing off any one target by an Area Factor. The current way to calculate this number:

Area Factor = 1+(0.15*Radius)-(0.011*Radius*(360-Arc)/30)

Two things to note here:

1. Single target powers have a radius of 0 which collapses the Area Factor to 1.
2. Area Factor applies regardless of how many you actually hit. When using AoE and cones on single targets, proc performance will be significantly lower than with comparable single target powers.

Guaranteed Proc

Single Target

The formula for calculating the required recharge + activation time to achieve a 100% proc chance is 60/PPM. For instance, if an enhancement has a 5PPM rate, then 60/5=12 seconds; a power with a base recharge + activation time of 12 seconds will guarantee a proc every time it executes, even if the power's final recharge is less. If an enhancement has a 1.5PPM rate, then a power needs a base recharge + activation time of 40 seconds to guarantee a proc.

Note that non-click powers cannot change their "activate period", so their chance to fire will always be the same, even if the power can be slotted or buffed with recharge.

Cone/Area of Effect

The formula for calculating the required recharge + activation time to achieve a 100% proc chance is (60 * Area Factor)/PPM, where Area Factor is 1+(0.15*Radius)-(0.011*Radius*(360-Arc)/30).[1] Note that when Arc is 360 degrees (which is true for any non-Cone AoE) the Area Factor simplifies to 1+(0.15*Radius).

A refactored equation for the Area Factor which converts the decimal fractions into long-form with a single linear order of operations and no decimals is (((((Arc-360)*11)+4500)/30000)*Radius)+1.

Developer Comments

Arbiter Hawk explained it in several posts on the official forums regarding Attuned Procs:

Arbiter Hawk (From several posts on the Official Forums) This is a bit of a trick question - these procs that you mention function like store-bought IO procs, so their chance to proc with any given power activation fluctuates with the power's recharge time and some other factors. The long and short of it is that you should put the proc in a power you like to use, but this Proc-per-minute functionality does not advantage, say, Neutrino Bolt over X-Ray Eyes, if you like using X-Ray more. Slot the procs into attacks that you use, and you'll see them go off fairly regularly. It is not limited to its displayed number of procs per minutes - that is representative of the average number of times it will proc over a minute if you use a single-target power every time it comes off recharge. You can still "get lucky", roll high numbers on the under-the-hood dice, and get many more than 4 procs in a minute. Its just that instead of a flat 20% chance to proc (which gives higher proc uptime per minute to a power that can be used more times per minute), the chance of proc'ing is now variable with the recharge (and other special factors) of the power that you're enhancing. It's base recharge time. If you have a single target attack slotted with a 2 ppm IO, the power would need to have a 30 second recharge to have a 100% proc chance. You could then IO it to ~100% recharge and combine that with 100% global recharge bonus to get the power's recharge down to 10 seconds, and it would still have that 100% proc chance. This is how all of the store-bought IO set procs work, as well as the ATO procs that are not global bonuses. This changes the math on "optimal proccing" significantly from the traditional "flat rate" approach, and causes the performance delta of optimal and non-optimal to be much smaller, so you can really slot these in any power you use and you will see them be effective.