What makes a bow good?
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Thanks to the generosity of a member of the Path of Exile community I have just received what I thought I would never own
Thank you so much for the awesome gift! |
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Ok so there we go first some assumptions.
I compare two bows with same DPS (not considering attack speed but DPS overall) but diffrent critical rates. First bow is Lioneye with 5% critcal rate and obviously 100% accuracy. Second bow is some rare bow with 6,5% critical rate (30% local increase, perfect is 38%), and various accuracy rate.
Skip that part if you feel weak at math, critical engine calculations
Now assumptions regarding critical engine. Becuase it is impossible to show multiplier, chance and accuracy at same 2D graph, I had to make critical chance and multiplier as 1 category. For every 8% points invested in critical engine, 5% becomes critical chance and 3% becomes critical multiplier. So for example if your critical engine is 80%, it means you have +50% critical rate and +30% critical multiplier, so with 5% Lioneye you will have 7,5% chance to score critcal hit for 195% of base damage (150%*1,3). I think it's quite accurate on average, for example a 30% critical chance Lioneye build (500%) has 600% multiplier (300%) and it scores for 800% critical engine total.
Graph
I suggest to right click on it and open in new window  The graph is about total damage multiplier from critical engine and accuracy. The lines on the graph (75% to 95% and Lioneye) show Rare bow with 6,5% critical rate with given accuracy (75% to 95%), and one bigger line shows Lioneye total damage multiplier. As you can see Lioneye starts from the top then it is getting worse depending on critical engine. You can see accurate breakpoints in spoiler below. Breakpoint - Means how much you need to invest in your critical engine to make your rare crit bow more effecient than Lioneye. Accuracy refers to your accuracy with rare bow.
Breakpoints
Accuracy....Critical engine 95%.... 225% 94%.... 269% 93%.... 313% 92%.... 359% 91%.... 405% 90%.... 455% 89%.... 508% 88%.... 565% 87%.... 628% 86%.... 698% 85%.... 778% 84%.... 871% 83%.... 982% 82%.... 1122% 81%.... 1304% 80%.... 1562% 79%.... 1979% 78%.... 2866% 77%.... To high to be considered 76%.... Impossible with 30% local rate 75%.... Impossible with 30% local rate tl;dr If your accuracy is 90% or higher on rare bow with 30% local crit rate that bow will be better than Lioneye. Between 83% and 89% it depends how many points you spent on critical engine. Between 82% and 80% you need to be freak to make that bow better than Lioneye. Below 80% forgot about it. Also note that your chance to hit in character sheet shows chance to hit mob of your level or mob lvl 77 if your level is higher than 77. You should keep that in mind that your real chance to hit is higher in lower level areas. Last edited by CookieVortex#2622 on Sep 10, 2013, 1:15:40 AM
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max is not 35% max is 38%.
edit: also i have 44% crit chance with 6.85 base bow and 500% multi, so would that put my "crit engine" at over 1000%? 44 / 6.85 = 6.42 = 542% Last edited by tikitaki#3010 on Sep 10, 2013, 12:35:15 AM
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" Ok corrected, like some other things. |
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Thanks for the legwork, CookieVortex!
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" Wow lucky you :) congrats ! To any one who knows, Would you be best to take IRON REFLEXES in the skill tree if you used this bow ? seeing you can not evade. |
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" Pardon me for pointing out the obvious but: Your accuracy versus what exactly? The accuracy in your tooltip is a theoretical number against a monster of a certain level. Probably level 79 if you are 79 or higher. It is safe to assume that lower level mobs have substantially less evasion. So your accuracy estimate, is in a sense, a worst case scenario. It is possible that a lower level mob of specific types and modifiers might exceed the evasion rating of a much higher level monster, but overall that would be the exception than the norm. Most players, even ones with godly gear, do not spend a majority of their time fighting 77+ monsters. Last edited by tikitaki#3010 on Sep 10, 2013, 12:41:19 AM
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" You need to remove starting values before dividing, because they are not increase, you can have 6,85% rate without investing any point in critical engine. Remember that base multiplier value is 150%. So if you have 500% it means you have 233% extra multiplier from tree or items. (44-6,85)/6,85 + (500%-150%)/150% = 542% + 233% = 775%. 775% is your critical engine value in my calculations. You can also just sum up all critical nodes in your tree and gear. Of course you are right, we are not fighting with 77 mobs all the time. It's all theory, we can't see our hit rate vs 70lvl mobs when we are 90lvl. This tl;dr conclusion is just for folks who are not the best in math. In theory you could add 3-5% chance to hit in your character sheet to your common chance to hit. Last edited by CookieVortex#2622 on Sep 10, 2013, 12:51:36 AM
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" i think you are thinking about this a little too hard mate. i subtracted 1 off at the end, it works out the same either way i put: 44 / 6.85 = 6.42 = 542% you put = 44-6.85 / 6.85 = 542% lol i understand what you mean by subtracting the 150% from the base crit multi tho. although i figured your math was assuming "total" not "invested" |
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" Yep that's the same I noticed it, but was quite too lazy to write about it. I wrote too much there anyway. Last edited by CookieVortex#2622 on Sep 10, 2013, 12:53:19 AM
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