One
Read the rows in cost order and stop at the first one that clears the bar the task needs.
Forty tasks on this deck, all on Sonnet 5. Tokens a question: a view 868, retrieval 10,276, the agent 41,514, the slice 76,658. The model's 0.68 has no row: it ran on GPT-5 mini at other prices, and Sonnet 5's run on the model covered five of the forty, so there is no forty-task bill.
Move the bar and the pick changes. At 0.4, retrieval is the cheapest row that clears it. Guess before the bar passes 0.51: the slice or the agent? Then move it past 0.51 and read the note under the slider. Above 0.90 nothing clears.
Cost per correct answer is the forty's bill over the questions answered correct, every field right. Cheapest first: a view, $0.115 over 2, is $0.058, and it answers only two of the forty fully; retrieval, $1.063 over 17, is $0.063; the agent, $3.64 over 34, is $0.107; the slice, $6.49 over 20, is $0.324.
Two
A rung is one way of steering a language model you did not train, and the article this talk borrows its ladder from counts eight.
Context, memory and retrieval sit on rung 1: what this deck pasted in or fetched. Rung 2, system prompts, standing instructions sent with every question. Rung 3, skills, written procedures the model loads for a task. Rung 4, tools and an interface, what chapter four's agent was handed. Rung 5, deterministic hooks, a program with no model in it that checks or blocks what the model did. Rung 6, model routing, sending each question to a different model by rule. Rung 7, adapter training, a small trained add-on to the model's weights. Rung 8, training the model itself. Each step up buys durability and costs more to undo.
Three
The rule is the lowest rung that durably fixes the behavior, on evidence from the corpus: durably meaning the fix keeps holding without anyone adding it back each session, the corpus meaning chapter five's pile of graded examples.
Placing this deck's four arms on rungs 1 and 4 is this talk's reading, not the article's. The article's own words for the bottom four: they change in minutes and roll back for free. The top four are the ones this talk did not run.