Anime Girl RNG Luck Guide: Stacking and Haste

Luck does not change the printed number

An aura listed at 1/75,000 is always 1/75,000. Luck works on how many effective rolls each press is worth, which is why the aura table never changes even though your pull rate does. It also means the arithmetic below stays valid at any luck level — you are shortening the wall clock, not moving the wall.

The three luck sources, ranked by how long they last

The wiki states the potion rule in capitals on its own item page: luck potions do not stack. Drinking Beyond Heavens while Heavens is running does not add the two values — the new one takes over. If you want a bigger number, drink a bigger potion, not two smaller ones.

Haste is a different system

Haste cuts the cooldown between rolls. It does not touch luck at all, which is exactly why it is worth running alongside a luck potion: more rolls inside the same luck window. The True Relic of Haste is 1.2s of cooldown reduction permanently, which compounds with every luck potion you will ever drink.

How many rolls will this actually take?

For an aura at 1-in-N odds, the number of rolls for a 50% chance of seeing it at least once is ln(0.5) / ln(1 - 1/N). In practice that lands at about 0.693 × N:

Those are base-luck numbers. They are also why the badge counts look the way they do — only a few thousand accounts have ever reached ten million rolls.

The efficient pattern

Save potions. Wait for a biome if your target is biome-locked. Drink one luck potion plus one haste potion. Roll it out completely before drinking the next. Craft the best relic you can afford between windows, because that is the only luck that is still there tomorrow.