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Equation 2 · Part 6 · The EV Formula Is an Exact Production Function Trainers Solved by Accident

fraction

HP=⌊(2B+I+⌊E/4⌋)⋅L100⌋+L+10\text{HP} = \left\lfloor (2B+I+\lfloor E/4 \rfloor) \cdot \frac{L}{100} \right\rfloor + L + 10
fraction

What this part means

Divide the expression above the line by the one below it.

Its job in the formula

The expression above the fraction bar is divided by the complete expression below it. The denominator must not be zero.

The passage around this formula

HP uses the same inner term but a different outer shell, adding the Pokémon’s level plus ten instead of multiplying by a nature: HP=⌊(2B+I+⌊E/4⌋)⋅L100⌋+L+10\text{HP} = \left\lfloor (2B+I+\lfloor E/4 \rfloor) \cdot \frac{L}{100} \right\rfloor + L + 10. At level 100 — the level Smogon’s singles tiers, including the OU tier this article draws its spreads from, are actually played at — the level term collapses to a clean multiplication by one, so every floor operation inside the level scaling vanishes and the formula reduces to simple integer arithmetic: raw score equals twice the base stat plus the IV plus the floor of EV over four, plus five, times the nature coefficient. That collapse is not incidental to this article; it is why the whole problem is exactly solvable rather than merely…

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Learn the underlying idea

A fraction a/b means a divided by b. The top number is the numerator; the bottom number is the denominator, and it cannot be zero.

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Sources cited in the surrounding passage

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