Use this Purify Efficiency Score (PES) Calculator to determine the value of purifying a Shadow Pokémon based on its current stats, the cost involved, and the potential IV boost it will receive. Optimize your Stardust and Candy usage!
Pokemon Purify Calculator
Purification Efficiency Score (PES)
Detailed Calculation Steps:
Pokemon Purify Calculator Formula
The Purification Efficiency Score (PES) is calculated as follows:
$$ \text{PES} = \frac{\text{Original IV Score (OIV)} + \text{IVs Gained (IVB)}}{\text{Purify Stardust Cost (PC)} \times (\frac{\text{Shadow Level (SL)}}{50} \times 10)} $$
Formula adapted from concepts in: Pokemon Official Site
Variables Used in the Calculation
- Shadow Pokémon Level (SL): The current level of your Shadow Pokémon. This acts as a multiplier, as higher-level purifications require more investment.
- Purify Stardust Cost (PC): The base cost in Stardust to purify the Pokémon (e.g., 1,000, 3,000, 5,000).
- Total IVs Gained (IVB): The total number of IV points (Attack, Defense, HP) gained from the purification process (usually 6).
- Original Total IV Score (OIV): The sum of the current Attack, Defense, and HP IVs (e.g., 10/10/10 = 30).
- Purification Efficiency Score (PES): The final unitless score, where a higher number indicates a more efficient use of resources for the IV gain.
What is Pokemon Purification Efficiency?
Purification Efficiency refers to the rate of return you receive when converting a Shadow Pokémon to a Purified Pokémon. While purification grants a stat boost and a level increase, it often costs significant Stardust and Candy.
A “good” efficiency score suggests that the resulting Purified Pokémon’s quality (high IVs) significantly outweighs the resource investment. This is critical for players who need to manage limited Stardust reserves, helping them decide which Shadow Pokémon are worth the cost for the IV improvement.
The calculation is particularly useful when comparing a high-level, high-cost purification against a low-level, low-cost one, providing an objective metric beyond raw IVs.
How to Calculate Purification Efficiency Score (Example)
Let’s calculate the PES for a Shadow Pokémon at Level 20, costing 5,000 Stardust, with an original IV score of 25, gaining 6 IVs.
- Identify Inputs: SL = 20, PC = 5000, IVB = 6, OIV = 25.
- Calculate IV Benefit: Original IV (25) + IV Boost (6) = 31.
- Calculate Investment Multiplier: Shadow Level (20) / Max Level Factor (50) $\times$ Base Multiplier (10) = 4.
- Calculate Total Investment Cost: Purify Cost (5000) $\times$ Investment Multiplier (4) = 20,000.
- Calculate PES: IV Benefit (31) / Total Investment Cost (20000) = 0.00155.
This result shows the purification yields 0.00155 score units per unit of adjusted Stardust investment.
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Frequently Asked Questions (FAQ)
What is the maximum possible PES?
The theoretical maximum PES occurs when the OIV is 45 and the PC and SL are at their minimums. A higher score is always better, indicating less Stardust spent per IV point gained.
Should I always purify for a high PES?
No. While PES measures efficiency, Shadow Pokémon benefit from a 20% attack bonus, which often outweighs the IV gain. This calculator should be used to gauge the economic efficiency *if* you decide to purify, not as a blanket recommendation to do so.
Does this calculator factor in Candy cost?
For simplicity, this version focuses only on Stardust, as it is the most limited resource. However, you can use the Purify Stardust Cost input (PC) to represent a combined resource unit if you assign an equivalent Stardust value to the Candy cost.
Why are high-level purifications less efficient?
High-level purifications are factored as less efficient because the Stardust savings from the level boost are often less substantial compared to a low-level Pokémon, and the base Stardust cost is already higher.