Settings Math

This document explains the math behind certain settings so that you can understand how changing those settings affects the experience.

Familiarity Weighting

A few features use weighted random selection based on familiarity score. The formula to calculate the weight, where f is familiarity, is:

$1 + w \cdot \ln(1 + f)$

The w represents the Familiarity weight multiplier setting, which is 1 by default.

A few sample outputs of this function: f = 0, w = 1 -> 1
f = 10, w = 1 -> 3.4
f = 20, w = 1 -> 4
f = 30, w = 1 -> 4.4
f = 100, w = 1 -> 5.6
f = 100, w = 2 -> 10.23

As you can see, dimishing returns come quickly.