Roll-odds calculator
How likely are you to hit 2★ or 3★ on a unit given your level, the pool and your gold? Closed-form per slot, Monte-Carlo for the distribution.
Lab
Small tools that answer a numeric question quickly, so the decision in the game is about the situation and not the arithmetic.
Econ simulator
Project gold and level over the next five rounds under two plans side by side: save, level, or roll.
Printable cheat sheet
Odds, interest, level timings, item matrix and the scout routine on one page. Prints in black and white.
Team planner & fight simulator
Build a board with every champion, item and augment of the set, set an enemy board opposite it, and simulate the fight: win rate, survivors, damage per unit.