Tinker Small models: distillation & routing

by Kondasamy Jayaraman · drawn with Colorfigures by April Zhu

Router, up below 0: 7 of 12 right, cost 2.4, 0 sent up

  • router, one point per threshold
  • all large

Up below 0: 7 of 12 right, cost 2.4, 0 sent up. “What is the hotel nightly limit for business travel?” stays small.

Chapter 5 of 7

Fall back when unsure

The small tier gets the easy questions right and stumbles on the tricky ones. The team wires a router: the small tier answers first, and when it is unsure, the question goes up to the large tier.

This chapter: How does a confidence threshold trade right answers against cost?

You will learn

  • What a router and a fallback (a cascade) are
  • How raising the threshold moves the quality and cost frontier
  • Why a confident answer can still be wrong
Words you’ll meet (5)
Router
The step that decides which model answers a question.
Cascade
Ask the cheap model first; send the question to a bigger one only when the first answer looks unsure.
Confidence
A score from 0 to 1 for how sure an answer seems. Here it is a stand-in score set by hand to show the trade-off.
Threshold
The confidence below which the router sends a question up.
Frontier
The best right answers you can get at each cost: the line the router’s settings trace.

The picture on the left is live. Each step below asks you to do one thing in it; the story continues here as you go.

Step 1 of 3

The router asks the small tier first. Each small answer comes with a confidence score, and below the threshold the question goes up to the large tier, which answers it instead. Here the scores are stand-in numbers set by hand for this site, to show the trade-off; a real system computes them. Before you move the threshold:

FrugalGPT is an LLM cascade that learns which combinations of models to use for different queries; its authors report it can match the best single model (GPT-4) with up to 98% cost reduction. Source: arxiv.org (checked 2026-10-21)

Raise the threshold step by step, so more of the small tier’s answers go up to the large tier. What happens to right answers and to cost?