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Edit: Also just occured to me, Pretty sure there is an Ancient that increases Critical Click damage? If so, that'd further boost that 1800% by..well, however many HS you pump into that ancient. :P
For idle players, Energize Dark Ritual and Reload (8-6-9 wait 8-9 wait and repeat) and nothing else.
Well, technically that's a 1700% boost. But as good as you make that sound, don't forget that non-energized lucky strikes give a big boost as well (which will also benefit from the other multipliers). You need to compare against that.
With normal lucky strikes (assuming all relevant upgrades are bought) and no Bhaal you get 1+0.59*17 = 11.03 times your non-critical click damage as average click damage. When energized, you get 18 times your non-critical click damage. So energizing lucky strikes will give you a bonus of 63.19%. When Bhaal is leveled up sufficiently, non-crits won't do anything worthwile and that bonus will grow to 69.49%.
Super clicks go from +200% (x3) to +400% (x5) when energized. That is an increase of 66.67%. That is exactly the average damage increase of energized lucky stikes over non-energized ones with a critical click multiplier of 41. That is the threshold, you will reach it at an effective Bhaal level (including relics) of 8.52. So if you are early in your game and don't have Bhaal yet (or you have him, but lower than this), super clicks are better to energize.
Let's look at powersurge as well. When energized, it is +200% (x3) instead of +100% (x2), so a 50% increase. Worse than super clicks, right? Not so fast. While lucky strikes and super click only increase (average) click damage directly, powersurge increases click damage indirectly by increasing dps. Early on (without Bhaal and Fragsworth) that is still a significant part of total damage.
If you have all upgrades, but neither Fragsworth nor Bhaal, a non-critical click does 3.5% of your dps. If you activate all skills and don't click manually, you get 10 clicks per second with 59% chance of x18.
Nothing energized: 2 * (1 + 3 * 0.035*(1+0.59*(18-1)) * 10) = 2516.3% of normal dps
Energized powersurge: 3 * (1 + 3 * 0.035*(1+0.59*(18-1)) * 10) = 3774.45% of normal dps
Energized super clicks: 2 * (1 + 5 * 0.035*(1+0.59*(18-1)) * 10) = 4060.5% of normal dps
Worse than super clicks indeed, powersurge is not worth energizing. But the difference is not as big as it might seem. When counting normal dps as well and not only click damage, the increase of energized super clicks over non-energized ones is only 61.37%. Basically, if you have powersurge relics that make it last longer than the other skills, it still could be worth it, but only then.
Clickstorm itself can be the best option as well, if you don't click manually or only very little, it can be more efficient to energize than lucky strikes, up to +100%. If you use an autoclicker, it will be worse than powersurge.
Short version: it depends, nothing is the "best" in any circumstance.
I should've mentioned though I have every ancient with Bhaal and Fragsworth leveled up decently high, and my skills last 60 seconds with Lucky Strikes lasting 100. I guess that means Lucky Strikes would be the best for me? I can click at about 8 times a second.
200% is not 200x though. :P
That said, the mouse over tooltip is "+200% click damage for 30 seconds", means it is adding (+)200% of your click damage to your final value, In total, 300% click damage. (Base = 100%, +200%)
(Pretty sure I got all that right..)
And yes, 8 clicks a second should be plenty to run lucky strikes over the other options. :)
60s no progress followed by 100s everything dies.
I found a +50 level berserker relic you see.
I just go Energise > Dark Ritual > Reload (reduces cd for DR) and when Energise and Reload are ready again, use both in that order to reduce cooldown once more, but it only works that one time.
So, all depends on the build you have.
I used to thing like this until I actually tried it; I press all of them except for DR and EVERYTHING gets obliterated because of Lucky Strikes