Weighted-average anti-dilution adjusts the prior round's conversion price based on how much new money was raised at the lower price relative to the size of the company. Broad-based formulas (the most common) include the option pool in the denominator; narrow-based versions exclude it and produce a sharper adjustment.
Weighted average is much less punitive than full ratchet and is the modern standard. The math is mechanical but the impact in a real down round is still meaningful and worth modeling before agreeing to terms.