BM25 Ranking Visualizer

Explore how term frequency, document frequency, and document length normalization interact in BM25 scoring.

Input

Document 1

Document 2

Document 3

Document 4

Search Query

k₁ = 1.20Term frequency saturation

Typical range: balanced term frequency saturation

b = 0.75Length normalization

Typical range: moderate length normalization

Total Documents (N)

Avg Document Length (avgdl)

14.0

= total words / 4 docs

Query term:

\textcolor{#047857}{\text{IDF}}(t) = \ln\!\left(\frac{N - df(t) + 0.5}{df(t) + 0.5} + 1\right)

= \ln\!\left(\frac{4 - 1 + 0.5}{1 + 0.5} + 1\right) = \textcolor{#047857}{1.204}

"quick" appears in 1 of 4 documents (rare). IDF = 1.204: high weight — discriminating term.

Term Frequency (TF)Inverse Document Frequency (IDF)Document Length Normalization

13 words

The quick brown fox jumps over the lazy dog in the sunny meadow

14 words

A fast fox runs through the forest chasing a rabbit through the dense trees

15 words

The lazy dog sleeps all day long by the warm fireplace and never chases anything

14 words

Foxes and dogs are both popular animals but foxes are much harder to domesticate