Examples
Examples
Try the starting example
- Initial rating
- 1600
- Games in order: ID, opponent rating, actual score 0/0.5/1, supplied K
- G1,1600,1,20 G2,1800,0,20
- Supplied logistic scale
- 400
- Absolute rating-difference cap for each expectation, or none
- 400
- Expectations use fixed initial rating or sequential updated rating
- fixed
- Modeled rating change by game
- G1: 10; G2: -4.80506146704
- Expected score by game
- G1: 0.5; G2: 0.240253073352
- Final unrounded modeled rating
- 1,605.194939
- Total supplied actual points
- 1
- Total modeled expected points
- 0.740253
Try another scenario
- Initial rating
- 1600
- Games in order: ID, opponent rating, actual score 0/0.5/1, supplied K
- G1,1600,1,20 G2,1800,0,20
- Supplied logistic scale
- 400
- Absolute rating-difference cap for each expectation, or none
- 400
- Expectations use fixed initial rating or sequential updated rating
- sequential
- Modeled rating change by game
- G1: 10; G2: -5.01833874245
- Expected score by game
- G1: 0.5; G2: 0.250916937122
- Final unrounded modeled rating
- 1,604.981661
- Total supplied actual points
- 1
- Total modeled expected points
- 0.750917
Calculation method
Calculation method
Modeled rating change by game
Supplied K×(actual score−expected score), with no per-game rounding.
Expected score by game
Use supplied-scale logistic expectation with optional symmetric difference cap; fixed uses initial rating for every game, sequential uses current updated rating.
Final unrounded modeled rating
Initial rating+sum supplied-game modeled changes.
Total supplied actual points
Sum supplied actual scores; only 0, 0.5 and 1 are supported.
Total modeled expected points
Sum modeled per-game expected score fractions.
Symbols and units
- a
- Initial rating
- b
- Games in order: ID, opponent rating, actual score 0/0.5/1, supplied K
- c
- Supplied logistic scale
- d
- Absolute rating-difference cap for each expectation, or none
- e
- Expectations use fixed initial rating or sequential updated rating
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- A supplied smooth logistic rating-update scenario with explicit fixed/sequential, K and difference-cap choices. It does not implement current FIDE rating tables, title rules, floors, initial ratings or official publication rounding.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.
Further reading
Background reading; this does not imply endorsement or independent review of SumFizz.