About Chess Statistics Database Viewer

TPR (Tournament Performance Rating)

The Tournament Performance Rating measures a player's performance level based on their results against opponents of varying strengths. It answers the question: "What rating would a player need to achieve this score against these opponents?"

TPR is calculated using the formula: TPR = Average Opponent Rating + 400 × log₁₀(Score / (Games - Score))

CPR (Complete Performance Rating)

For perfect scores (100%) or zero scores (0%), the standard TPR formula produces undefined results. In these cases, we use the Complete Performance Rating (CPR).

The CPR method works by finding the rating at which a player's rating would remain unchanged for their achieved score plus one hypothetical drawn game against an opponent of that same rating. For example, for a player who scores 9/9, we ask: "What rating would they need such that 9/9 plus one draw against themselves (9½/10) is the expected outcome?"

The CPR formula is: CPR = e − ((n+1)/n) × 400 × log₁₀((n + 0.5 − m) / (m + 0.5))

Where m is the score, n is the number of games, and e is the average opponent rating.

Please cite the following paper if you find this helpful:

Ismail, M. S. (2023). Performance rating in chess, tennis, and other contexts. Available at https://arxiv.org/abs/2312.12700

Implementation: github.com/drmehmetismail/Perfect-Score-Performance-Rating

GI (Game Intelligence)

Game Intelligence is a human-centric score that measures a player's ability to weigh risk against potential reward. High-GI players know when to take chances and when to hold firm; they press in complex positions and stay precise when it matters most.

For comparison across events, the average human GI is standardized at 100, with two-thirds of players falling between 85 and 115. Winners of major tournaments often reach 160 or higher.

The scale ranges from 0 to ~200, with 176.1 being the theoretical maximum for a perfect game.

Implementation: github.com/drmehmetismail/World-Chess-Championships

MP (Missed Points)

Missed Points measure how many points a player effectively "left on the table" compared to the engine's top line, expressed in human-understandable terms—points rather than pawns—so that fans can understand what really changed the result.

Fewer Missed Points are better:

• 0 missed points = perfect play according to the engine
• 1 missed point = making a game-losing blunder in a winning position
• 0.5 missed points = making a game-losing blunder in a drawn position

Please cite the following paper if you find this helpful:

Seven, M. M. (2025). Intelligence: Theory and Computation. Available at https://arxiv.org/abs/2302.13937v5

For more information: https://norwaychess.no/en/game-theory/

Practical Reading Guide

• High GI & Low MP: Clinical and effective (precision and conversion)
• High GI & Medium MP: Well-timed risk that paid off under human conditions
• Low GI & Low MP: Solid moves, but not enough practical pressure or conversion
• Low GI & High MP: Risky or imprecise play that didn't yield results