Fireball casting speed

“	The fastest you can cast fireball with decent music capacity(alone) and a +36% speed wand is 8.475s. The natural cast rate of fireball is 20 seconds. The phoenix fire wand with +36% speed from upgrades and a level 20 cast speed reforge is about 66% speed boost. r1 Vivace with an instrument with 36 music buff boost (11 instrument and 15 from r1 Playing and 10 playing boost reforge) and 20 magic speed buff reforge is 42.16% ((11 plus 20) times 1.36). 20 seconds multiplied by 1.66 then multiplied by 1.4216 is 8.475 seconds, compare this to the wand alone, which is 14.705 seconds, clearly there's some diminishing returns when you try to max out the speed.	„
—Daemonis, User:Daemonis

Not to crush your dreams or anything. But

• 1. Max casting speed wand upgrade = 40%
• 2. If casting speed upgrade reduces cast time why on earth would you increase the cast time? (20*1.66 > 20) (same goes for vivace casting time)
• 4. How on earth are you getting smaller products by multiplying by a number greater than 1...
• 3. Doing the math logically, it should be (original cast speed) * (1-casting speed reduction) = new casting speed.

Using the same formula that you did, the actual fireball casting speed should be

• 20*(1-(.4+.3)) = 20*.3 = 6
• 6*(1-.4216) = 3.4704

So in reality, you should be shooting fireballs like there's no tomorrow. (Assuming the correct formula is being used)

Oh oops. Thanks for checking my math. For #4, I was dividing, I just forgot to proofread.
Edit: Now I remember what happened. I made the assumption that the original cast speed is 100%. I treated increases to speed as adding onto that number. So a +40% speed wand would increase cast speed to 140%, or 1.4. After that, I took the inverse of that number to determine what percentage of the original cast time remains. I take that number, then multiply it by the unmodified cast time. It's a bit roundabout, yes, but it helps me to keep track of things. So what I have is

• 20/(1+(.4+.3)) = 20/1.7 = 11.765 (Way too many significant digits, yes.)
• 11.765/(1.4216) = 8.276

Using your formula, a wand with +36% cast speed (what I currently have on hand) should be

• 20*(1-0.36) = 20*0.64 = 12.8

With mine its

• 20/(1.36) = 14.705

Actually testing it results in 13 seconds, with an error of 1 second. I'd need more data to call it either way though. On a side note: Thanks for bringing to attention all of those assumptions. It's a fine night for a experiment.

Also, i lied 45% is max. :u didn't see lassar's upgrade. :u..

If 45% was max, I would cream my pants.

• Lassar's upgrade (15) + LEA 2 (4) + LEA 3 (5) + LEA 4 (6) + Stewart's upgrade (10) = +40%

oh yeah nvm i crazy

A new piece of information was added to int, for IS, Thunder, and FB.

Every 100 int = -2% cast time and -2% mp cost. So this increases it even further like by 10% in speed and mana reduction if you have 500 int.

What's the fastest, and most efficient fireball throwing setup can you get?

100 int = -2% cast time? that doesn't sound right. Check my experiments, it's the thread titled "Experiments on Fireball Cast Speed".
You'll see that there are a few data points that relate Int to cast time.
My hypothesis is that it actually follows a logarithmic curve, since 3 seconds are dropped going from 0 int to about 500 int, another 2 are dropped going from 500 to 1000, and 1 second is dropped going from 1000 to 1500. I also have a hunch that the mp cost reduction is simply due to the reduction in cast time, the mp drain over time as one casts stays the same.

Edit: It's not logarithmic apparently. The equation is Cast Time = Base Cast Time/(1 + Int/4000)

Now if you want the absolute fastest I could push the cast time to, I got 7.448 seconds. This is running through the calculations with my 18 second base cast time. I could probably push it to about 7 seconds at 1500 int.
As for most efficient, I have no idea what you're talking about.

Also, my calculations are a bit outdated, I had to guess at reforge maxes back when I was doing them.

Pretty much, the fastest time you can push it with the mp cost for the entire 5 charges. A way to tell is to time how fast mp is drained in a charge.