**It's common knowledge that fire beats ice for DPS on long boss fights. But what do the numbers say about how big the difference is?**

I will neglect additional damage spells—incinerate and frostbite—and only focus on the core damage skills. I also ignore the effects of lures/resistances, and assume zero evasions. Basically, I compare the DPS of fire and ice if every spell hit for 100% of its maximum potential damage.

What does "Long Term Ideal DPS" mean?

"Long Term Ideal" are implies these assumptions.

1.

**You are fighting a boss that has a huge amount of health**(hence, long term).

2.

**The boss has zero fire and ice resistance; thus, lures are irrelevant.**This is extremely unrealistic, but makes things much simpler (hence, ideal).

3.

**You have perfect casting.**Your damage spells are continuously casted nonstop with no interruptions, energy hunger, or death. The main damage spell (fire bolt/ice shards) is prioritized over the secondary AoE spell (firestorm/ice blast) when both spells are ready at the same time.

4.

**There are no evades.**If there were evades, they should affect both fire and ice equally anyway (because it's a long fight and there are many hits).

DPS simply means damage per second. That's what we're trying to compare here: rate of damage of fire vs rate of damage of ice.

**Skip directly to Conclusions if you don't want to read the math.**

The Original Formulas

The following maxed (level 50) skill formulas come from this skill formula index. They predict the maximum possible skill power based on your focus stat and fire or ice magic ability. I color coded them to easily separate fire skills from ice skills.

**Level 50 Fire Attunement Damage Boost = 22.331*sqrt(Focus) + 10.044*sqrt(Fire Magic) + 307.16**

**Level 50 Fire Bolt Damage = 72.853*sqrt(Focus) + 21.611*sqrt(Fire Magic) + 264.84**

**Level 50 Firestorm Damage = 90.164*sqrt(Focus) + 25.515*sqrt(Fire Magic) + 365.43**

**Level 50 Ice Attunement Damage Boost = 33.548*sqrt(Focus) + 15.221*sqrt(Ice Magic) + 450.48**

**Level 50 Ice Shards Damage = 96.322*sqrt(Focus) + 30.47*sqrt(Ice Magic) + 702.43**

**Level 50 Ice Blast Damage = 117.97*sqrt(Focus) + 32.835*sqrt(Ice Magic) + 487.25**

Adding Attunement Effects to Damage Spells

Let's assume that attunement adds the maximum amount of damage to each spell hit. Now, after adding the attunement formula to the damage spell formulas:

**Fire Bolt Damage with Attune = 95.184*sqrt(Focus) + 31.655*sqrt(Fire Magic) + 572**

**Firestorm Damage with Attune = 112.495*sqrt(Focus) + 35.559*sqrt(Fire Magic) + 672.59**

**Ice Shards Damage with Attune = 129.87*sqrt(Focus) + 45.691*sqrt(Ice Magic) + 1152.91**

**Ice Blast Damage with Attune = 151.518*sqrt(Focus) + 48.056*sqrt(Ice Magic) + 937.73**

Looking at Speed

An attunement lasts 3 minutes. In 3 minutes of ideal casting, a fire mage using both damage spells can cast 25 bolts and 10 storms. In 3 minutes of ideal casting, an ice mage using both damage spells can cast 12 shards and 8 blasts. Multiply each damage formula by their corresponding counts to get:

**Total Fire Bolt Damage during Attune = 2379.6*sqrt(Focus) + 791.375*sqrt(Fire Magic) + 14300**

**Total Firestorm Damage during Attune = 1124.95*sqrt(Focus) + 355.59*sqrt(Fire Magic) + 6725.9**

**Total Ice Shards Damage during Attune = 1558.44*sqrt(Focus) + 548.292*sqrt(Ice Magic) + 13834.92**

**Total Ice Blast Damage during Attune = 1212.144*sqrt(Focus) + 384.448*sqrt(Ice Magic) + 7501.84**

Combining the Damage Spells

Add fire bolt and firestorm for total fire mage damage in 3 minutes. Add ice shards and ice blast for total ice mage damage in 3 minutes.

**Total Fire Mage Damage in 3 mins = 3504.55*sqrt(Focus) + 1146.965*sqrt(Fire Magic) + 21025.9**

**Total Ice Mage Damage in 3 mins = 2770.584*sqrt(Focus) + 932.74*sqrt(Ice Magic) + 21336.76**

Average Long Term Ideal DPS

Divide by 180 to get damage per second.

**Average Fire Mage Long Term Ideal DPS = 19.47*sqrt(Focus) + 6.372*sqrt(Fire Magic) + 116.8**

**Average Ice Mage Long Term Ideal DPS = 15.39*sqrt(Focus) + 5.182*sqrt(Ice Magic) + 118.5**

Conclusions

Keep in mind that this guide assumes maxed out (level 50) attunes and damage spells. This is what we end up with:

**Average Fire Mage Long Term Ideal DPS = 19.47*sqrt(Focus) + 6.372*sqrt(Fire Magic) + 116.8**

**Average Ice Mage Long Term Ideal DPS = 15.39*sqrt(Focus) + 5.182*sqrt(Ice Magic) + 118.5**

So how much better is fire than ice on long fights? Plug in your own numbers and find out.

For me, my focus/fire magic would give me

*approximately*1100 average ideal DPS if I had maxed fire skills. If I had the same amount of ice magic and maxed ice skills, I would have about 900 average ideal DPS.