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Performance Scoring Formulae

At a high level, duty-level scoring produces a slot-level earned score σ and maximum score µ. Slot-level aggregation feeds micro scoring, and validator-level micro scoring feeds macro scoring.

The weighted form is used only when Proposal Consensus duties are present in the measured interval. In that case, the weighting is:

  • Standard Consensus: 5/8
  • Proposal Consensus: 3/8

Micro score​

Performancemicro={(∑s∈Sσs∑s∈Sμs)×100,If no proposal duties occurred(58⋅∑s∈Sstdσs∑s∈Sstdμs+38⋅∑s∈Spropσs∑s∈Spropμs)×100,If proposal duties did occur\mathrm{Performance}_{micro} = \begin{cases} \left(\dfrac{\sum_{s \in S} \sigma_s}{\sum_{s \in S} \mu_s}\right)\times 100, & \text{If no proposal duties occurred} \\ \left( \dfrac{5}{8}\cdot\dfrac{\sum_{s \in S_{std}} \sigma_s}{\sum_{s \in S_{std}} \mu_s} + \dfrac{3}{8}\cdot\dfrac{\sum_{s \in S_{prop}} \sigma_s}{\sum_{s \in S_{prop}} \mu_s} \right)\times 100, & \text{If proposal duties did occur} \\ \end{cases}

Legend:​

  • SS - Set of all slots evaluated for the operator
  • σsσ_s - Score earned in slot s
  • µsµ_s - Maximum possible score in slot s
  • SstdS_{std} - Slots with Standard Consensus duties
  • SpropS_{prop} - Slots with Proposal Consensus duties

In plain language, micro scoring is based on earned score by operator versus maximum possible score across the evaluated slots.

Macro score​

Performancemacro=1∣V∣∑v∈V{(∑s∈Svσv,s∑s∈Svμv,s)×100,if Sprop,v=∅(58⋅∑s∈Sstd,vσv,s∑s∈Sstd,vμv,s+38⋅∑s∈Sprop,vσv,s∑s∈Sprop,vμv,s)×100,otherwise\mathrm{Performance}_{macro} = \frac{1}{|V|} \sum_{v \in V} \begin{cases} \left(\dfrac{\sum_{s \in S_v} \sigma_{v,s}}{\sum_{s \in S_v} \mu_{v,s}}\right)\times 100, & \text{if } S_{prop,v} = \varnothing \\ \left( \dfrac{5}{8}\cdot\dfrac{\sum_{s \in S_{std,v}} \sigma_{v,s}}{\sum_{s \in S_{std,v}} \mu_{v,s}} + \dfrac{3}{8}\cdot\dfrac{\sum_{s \in S_{prop,v}} \sigma_{v,s}}{\sum_{s \in S_{prop,v}} \mu_{v,s}} \right)\times 100, & \text{otherwise} \end{cases}

Legend:​

  • VV - Set of validators served by the operator
  • SvS_v - Set of all slots evaluated for the operator
  • Sstd,vS_{std,v} - Standard Consensus slots for validator v
  • Sprop,vS_{prop,v} - Proposal Consensus slots for validator v
  • σv,sσ_{v,s} - Score earned for validator v in slot s
  • µv,sµ_{v,s} - Maximum possible score for validator v in slot s

In plain language, macro scoring is the arithmetic mean of validator-level scores.

It is an equal average across validators served by the operator. It is not a pooled global earned-score divided by global maximum-score ratio.

Standard Consensus and Proposal Consensus are the same categories described in the Performance overview. This page documents only the stable high-confidence formulas used for slot, micro, and macro scoring.