What is happening right now?
Car density
Train density
Selected time
Source density c(x)
0.1330
Comparison density t(x)
5.52e-88
Pointwise extra surprise
198.901 nats
D(Car ∥ Train) = 202.901 nats.
At 35.0 minutes, the train model is far more surprised than the
car model.
The pointwise contribution here is 26.450 nats per minute.
Car z-score: 0.00
Train z-score: −20.00
The same time under both commute models
The train is slower but much more predictable, so its density is
tall and narrow. The car is faster but more variable.
Where the selected KL value comes from
The curve is c(x) log(c(x) / t(x)). Across the full real line,
its signed area is D(Car ∥ Train): 202.901 nats. The vertical
scale stays fixed when the direction changes, so the two areas
are directly comparable.