Devil May cry 3 Cake Dante is a speedrun category in which the player tries to complete the game as fast as possible while also collecting all blue orb fragment, equipment and killing all bosses. The leadboards of this category are available here
The objective is to kill every boss and collect all health upgrades during the missions.
(1) All of them need to be cleared when you finish the game. The rewards you get from these missions are part of full health upgrade requirement, which is the Blue Orb Fragment.
Adjudicator is special statue which rates the stylishness of the attacks upon it, and once the player reaches a specific Style Rank, signified by the number of lit flames on the statue, it will break and reward the player with a Blue Orb Fragment.
(3) While New Game skips majority of firearms, this category requires all of them for full completion. The devilarms by default are mandatory progression pick.
(The rules here are specific to this category. Go to this page to find the rules that apply to all Devil May Cry 3 speedruns.)
Learning a speedrun in Devil May Cry 3 may seem to daunting, but at the early stage the game is generous once you follow beginners route.
Once you have completed your first run and made savefiles practice the parts you are least confident with then try another run. When you get more confident you should stop getting safety routes and start tighten your currency.