First some calculations for a lvl 50 wizard who is not that geared yet and only has 2000 MATK and 25% crit
assuming 25% crit rate, 0% haste and 2000 base MATK this is 240 second fight (this is true for both tests)
without wind arms
fire bolt with no haste takes 2.3 seconds until you can use the next fire bolt
1 instant cast fireball in 1.3 seconds
104 - 10 = 94 need to subtract fire bolts in order to fit fireball casts in the calculation
2200MATK with fire arms
94 firebolts
19 Fireball mastery procs
5 Fireball crits
14 non crit fireballs
28 Fire Arms procs
23 crit Fire Bolt hits
71 non crit Fire Bolt hits
76538 non crit Fire Bolt dmg
49588 crit Fire Bolt dmg
17248 non crit Fireball dmg
12320 crit Fireball dmg
8870 Fireball dot dmg
21 non crit fire arms procs
9055 non crit fire arms dmg
7 crit fire arms procs
6036 crit fire arms dmg
Total dmg: 179655
with wind arms (20% haste rate)
fire bolt with no haste takes 2.3 seconds until you can use the next fire bolt
0.8 second cast fire bolt
2.3 - 0.2 = 2.1 this is the real time cast speed of a fire bolt with 20% haste
1 instant cast fireball in 1.3 seconds
114 - 12 = 102 need to subtract fire bolts in order to fit fireball casts in the calculation
102 Fire Bolts
20 Fireball mastery procs
5 crit Fireballs
15 non crit Fireballs
25 crit Fire Bolt hits
77 non crit Fire Bolt hits
75460 non crit Fire Bolt dmg
49000 crit Fire Bolt dmg
16800 non crit Fireball dmg
11200 crit Fireball dmg
8400 Fireball dot dmg
total dmg: 160860
This second set of calculations is with very high end gear (I am pretty sure I saw a picture from seaRO that had these stats):
assuming 3000 MATK and 35% crit, this is a 240 second fight (this is true for both tests)
with wind arms and 20% equip haste + 10% pyro (pyro is assumed to be up 100% in both tests because I am lazy)
fire bolt with no haste takes 2.3 seconds until you can use the next fire bolt
0.5 second cast fire bolt
2.3 - 0.5 = 1.8 this is the real time cast speed of a fire bolt with 50% haste
1 instant cast fireball in 1.3 seconds
133 - 16 = 117 need to subtract fire bolts in order to fit fireball casts in the calculation
117 Fire Bolts
23 Fireball mastery procs
8 crit Fireballs
15 non crit Fireballs
41 crit Fire Bolt hits
76 non crit Fire Bolt hits
111720 non crit Fire Bolt dmg
120540 crit Fire Bolt dmg
25200 non crit Fireball dmg
26880 crit Fireball dmg
15624 Fireball dot dmg
total dmg: 299964
with Fire Arms 20% base haste and 10% pyro
fire bolt with no haste takes 2.3 seconds until you can use the next fire bolt
0.7 second cast fire bolt
2.3 - 0.3 = 2.0 this is the real time cast speed of a fire bolt with 30% haste
1 instant cast fireball in 1.3 seconds
120 - 14 = 106 need to subtract fire bolts in order to fit fireball casts in the calculation
3300MATK with fire arms
106 firebolts
21 Fireball mastery procs
7 Fireball crits
14 non crit fireballs
32 Fire Arms procs
37 crit Fire Bolt hits
69 non crit Fire Bolt hits
111573 non crit Fire Bolt dmg
119658 crit Fire Bolt dmg
25872 non crit Fireball dmg
25872 crit Fireball dmg (no this I not an error the crit and non crit actually ended up exactly the same number)
15523 Fireball dot dmg
21 non crit fire arms procs
13582 non crit fire arms dmg
11 crit fire arms procs
14229 crit fire arms dmg
total dmg: 326309
As you can see with better gear the Wind Arms build loses to the Fire Arms build.These calculations do not take into account the fact that the Wind Arms build could cast Fireball at a 1 second cast speed if the user really wanted to (I am not sure this would make up the rather large damage gap however).
EDIT:
I did some more calculations since I figured if I am taking Wind Arms Anyway what would be the damage if I dropped Fire Bolt and Fireball entirely and went with Cold Bolt and Lightning Bolt since I will be able to proc the effect from Wind Arms using that.
40% haste rate 35% crit 3000MATK
cold bolt cast speed 0.3 seconds
cold bolt 1.8 with no haste takes 1.8 seconds until you can use the next cold bolt
1.8 - 0.2 = 1.6 second cast speed per cold bolt
1 lightning bolt per 1.3 seconds
240 second fight time
150 - 60 = 100 subtract cold bolts to fit lightning bolts into the time frame
100 cold bolt casts
30 wind arms procs
60 double dmg lightning bolt casts
21 crit double dmg lightning bolts
39 non crit double dmg lightning bolts
35 cold bolt crits
65 non crit cold bolts
74100 non crit cold bolt dmg
79800 crit cold bolt dmg
51480 non crit lightning bolt dmg
55440 crit lightning bolt dmg
total dmg: 260820
with Wind Arms 0% cast speed from equip, 2000 base MATK and 25% crit rate
0.4 second cast speed
cold bolt 1.8 with no haste takes 1.8 seconds until you can use the next cold bolt
1.8 - 0.1 = 1.7 second cast speed per cold bolt
141 - 44 = 97 need to subtract cold bolts till we can fit the right number of lightning bolts in
1 lightning bolt per 1.3 seconds
240 second fight time
97 cold bolt casts
29 wind arms procs
58 double dmg lightning bolt casts
14 crit double dmg lightning bolts
44 non crit double dmg lightning bolts
24 cold bolt crits
73 non crit cold bolts
55480 non crit cold bolt dmg
36480 crit cold bolt dmg
38720 non crit lightning bolt dmg
24640 crit lightning bolt dmg
total dmg: 155320
Newest EDIT:
I have done MANY more tests and found some very interesting data. For instance the more cast speed you get the more it becomes worthwhile to cast Fireball over Fire bolt and to make sure that the Fireball DOT is ALWAYS on the mob. Also Fire Explosion is a GREAT skill and any person who wants to hit the max damage you can get with a Wizard NEEDS to max it!
First the calculations that show how worthwhile it is to always have the Fireball DOT on the mob:
Wind arms 20% equip haste 10% pyro 35% crit 3000MATK
2.3 second cast time on fireball (same as base Fire bolt)
240 second fight
240 /5 = 48(number of Fireballs that will tick their full DOT duration)
48 fireballs eat up 110 seconds
110 - 16 = 94
fire bolt with no haste takes 2.3 seconds until you can use the next fire bolt
0.5 second cast fire bolt
2.3 - 0.5 = 1.8 this is the real time cast speed of a fire bolt with 50% haste
81 fire bolts cast
16 instant Fireball casts (for every instant cast Fireball we can take 1 second off the time fireballs eat up)
17 crit Fireballs
31 non crit Fireballs
28 crit Fire Bolt hits
53 non crit Fire Bolt hits
77910 non crit Fire Bolt dmg
82320 crit Fire Bolt dmg
52080 non crit Fireball dmg
57120 crit Fireball dmg
32760 Fireball dot dmg
total dmg: 302190
Fire arms 20% equip haste 10% pyro 35% crit 3000MATK
3300MATK with Fire Arms
2.7 second cast time on fireball
240 second fight
240 /5 = 48(number of Fireballs that will tick their full DOT duration)
48 fireballs eat up 130 seconds
130 - 16.8 = 113.2
fire bolt with no haste takes 2.3 seconds until you can use the next fire bolt
0.5 second cast fire bolt
2.3 - 0.3 = 2.0 this is the real time cast speed of a fire bolt with 30% haste
63 fire bolts cast
12 instant Fireball casts (for every instant cast Fireball we can take 1.4 seconds off the time fireballs eat up)
17 Fireball crits
31 non crit fireballs
19 Fire Arms procs
22 crit Fire Bolt hits
41 non crit Fire Bolt hits
66297 non crit Fire Bolt dmg
71148 crit Fire Bolt dmg
57288 non crit Fireball dmg
62832 crit Fireball dmg (no this I not an error the crit and non crit actually ended up exactly the same number)
36036 Fireball dot dmg
13 non crit fire arms procs
8408 non crit fire arms dmg
6 crit fire arms procs
7761 crit fire arms dmg
total dmg: 309770
Next we have Calculations that try to get closer to the real haste value you actually get from pyromaniac as well as casting Fire Explosion when pyro stacs are about to fall off.
Wind arms 20% equip haste 6% pyro 35% crit 3000MATK casting Fire explosion only when pyro is expiring
2.38 second cast time on fireball
240 second fight
240 /5 = 48(number of Fireballs that will tick their full DOT duration)
48 fireballs eat up 114 seconds
114 - 14 = 100
fire bolt with no haste takes 2.3 seconds until you can use the next fire bolt
0.54 second cast fire bolt
2.3 - 0.46 = 1.84 this is the real time cast speed of a fire bolt with 46% haste
1.9 with no pyro
19 seconds to build up pyro
95 seconds that pyro is not up
5 full pyro durations = 5 Fire explosion casts
fire explosion is a 3.2 second cast
3.2 * 5 = 16 seconds of Fire explosion
pyro is only at full stacks 60% of the time so it is actually around a 6% speed increase not 10% (this also assumes when pyro is
down you do nothing but spam Fire bolts until it is maxed again which is also not true)
67 fire bolts cast
13 instant Fireball casts (for every instant cast Fireball we can take 1.08 seconds off the time fireballs eat up)
17 crit Fireballs
31 non crit Fireballs
23 crit Fire Bolt hits
44 non crit Fire Bolt hits
64680 non crit Fire Bolt dmg
67620 crit Fire Bolt dmg
52080 non crit Fireball dmg
57120 crit Fireball dmg
32760 Fireball dot dmg (The DOT has a 5 second duration and ticks once every 2 seconds so it will tick twice)
30 Fire Explosion hits
18.33% MATK per hit
10 crit Fire Explosion hits
20 non crit Fire Explosion hits
10998 non crit Fire Explosion dmg
10998 crit Fire Explosion dmg
total dmg: 296256
Fire arms 20% equip haste 6% pyro 35% crit 3000MATK
3300MATK with Fire Arms
2.1 Fire Bolt with no pyro
21 seconds to build up pyro
105 seconds that pyro is not up
5 full pyro durations = 5 Fire explosion casts
fire explosion is a 3.2 second cast
3.2 * 5 = 16 seconds of Fire explosion
pyro is only at full stacks 60% of the time so it is actually around a 6% speed increase not 10% (this also assumes when pyro is
down you do nothing but spam Fire bolts until it is maxed again which is also not true)
fire bolt with no haste takes 2.3 seconds until you can use the next fire bolt
0.74 second cast fire bolt
2.3 - 0.26 = 2.04 this is the real time cast speed of a fire bolt with 26% haste
240 second fight
97 fire bolts cast
19 instant Fireball casts
7 crit Fireballs
12 non crit Fireballs
29 Fire Arms procs
34 crit Fire Bolt hits
63 non crit Fire Bolt hits
101871 non crit Fire Bolt dmg
109956 crit Fire Bolt dmg
22176 non crit Fireball dmg
25872 crit Fireball dmg
14414 Fireball dot dmg
19 non crit fire arms procs
12289 non crit fire arms dmg
10 crit fire arms procs
12936 crit fire arms dmg
30 Flame Explosion hits
18.33% MATK per hit
10 crit Flame Explosion hits
20 non crit Flame Explosion hits
12097 non crit Flame Explosion dmg
12097 crit Flame Explosion dmg
total dmg: 323708
Lastly we have taken pyromaniac out of the calculations entirely and will cast Fire Explosion any time we have 100 pyro stacks
Fire arms 20% equip haste 0% pyro 35% crit 3000MATK
3300MATK with Fire Arms
2.1 Fire Bolt with no pyro
21 seconds to build pyro to 100
9 Fire explosion casts
fire explosion is a 3.2 second cast
3.2 * 9 = 29 seconds of Fire explosion
2.9 second cast time on fireball
fire bolt with no haste takes 2.3 seconds until you can use the next fire bolt
0.8 second cast fire bolt
2.3 - 0.2 = 2.1 this is the real time cast speed of a fire bolt with 20% haste
240 second fight
90 fire bolts cast
18 instant Fireball casts
6 crit Fireballs
12 non crit Fireballs
27 Fire Arms procs
32 crit Fire Bolt hits
58 non crit Fire Bolt hits
93786 non crit Fire Bolt dmg
103488 crit Fire Bolt dmg
22176 non crit Fireball dmg
22176 crit Fireball dmg (no this I not an error the crit and non crit actually ended up exactly the same number)
13305 Fireball dot dmg (the dot ticks twice for this dmg)
17 non crit fire arms procs
27489 non crit fire arms dmg (the dot ticks twice for this dmg)
10 crit fire arms procs
32340 crit fire arms dmg (the dot ticks twice for this dmg)
54 Flame Explosion hits
18.33% MATK per hit
19 crit Flame Explosion hits
35 non crit Flame Explosion hits
21171 non crit Flame Explosion dmg
22985 crit Flame Explosion dmg
total dmg: 358916
Wind Arms 20% equip haste 0% pyro 35% crit 3000MATK
19 seconds to build pyro to 100
9 Fire explosion casts
fire explosion is a 3.2 second cast
3.2 * 9 = 29 seconds of Fire explosion
2.5 second cast time on fireball
fire bolt with no haste takes 2.3 seconds until you can use the next fire bolt
0.6 second cast fire bolt
2.3 - 0.2 = 1.9 this is the real time cast speed of a fire bolt with 40% haste
240 second fight
98 fire bolts cast
19 instant Fireball casts
7 crit Fireballs
12 non crit Fireballs
34 crit Fire Bolt hits
64 non crit Fire Bolt hits
94080 non crit Fire Bolt dmg
99960 crit Fire Bolt dmg
20160 non crit Fireball dmg
23520 crit Fireball dmg (no this I not an error the crit and non crit actually ended up exactly the same number)
13104 Fireball dot dmg (the dot ticks twice for this dmg)
54 Fire Explosion hits
18.33% MATK per hit
19 crit Fire Explosion hits
35 non crit Fire Explosion hits
19246 non crit Fire Explosion dmg
20896 crit Fire Explosion dmg
total dmg: 290966
As you can see the Fire arms build that has dropped Pyromaniac and casts Fire Explosion as often as possible does the most damage out of any of the calculations so far!
Edited by Xafir, 14 June 2013 - 02:01 PM.
