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プロンプト差分とトークン変化

2つのバージョンを行ごとに比較し、トークンとUTF-8バイトの変化を計測。

Study guide & lesson outlineLEARNING CONTRACT

Understand → implement → investigate

Goal: explain the mechanism in this lesson, reproduce one example and test a failure case. Reading alone does not mark mastery.

01設定

02入力を追加

設定して例を読み込むか、データを貼り付けてください。

03結果を確認

設定して例を読み込むか、データを貼り付けてください。

表示を省略する場合がありますが、JSONレポートは全計算結果を含みます。

結果の読み方

AとBを入力します。空白を保ち、追加・削除行を表示します。選択したエンコーディングで計数しますが、意味や品質は評価しません。各入力は最大20,000文字、500行です。

手法の参考資料

MATHEMATICAL REVIEW · 2026-10-26

Assumptions, implementation & acceptance

Line edits and token deltas are different quantities. Whitespace affects tokenization; a line edit is not semantic equivalence.

Reviewed counting units, statistical assumptions and numerical examples. Provider accounting and actual GPU allocation still require external measurement.

Two prompt texts → Align exact lines → Count edits separately from tokens → Inspect whitespace and template limits
Mechanism map: follow the transformations from top to bottom.

Before running: predict a boundary case

Line edits and token deltas are different quantities. Whitespace affects tokenization; a line edit is not semantic equivalence.

Hint: isolate the assumption

Keep the baseline input fixed, change one parameter or boundary, and compare both the numerical result and the claimed units. A passing example verifies this fixture only.

Minimal executable example

Save the example and linked modules in one folder. Use Node.js 22 or newer, then run node prompt-diff.mjs. npm install gpt-tokenizer@4.1.0

import {encode as rawEncode} from 'gpt-tokenizer/encoding/cl100k_base';
import {promptDiff,inspectDataset,chunkDocument,compareScores,estimateVRAM,samplingLab,speculativeLab} from './research-core.mjs';
const encode=s=>rawEncode(s,{disallowedSpecial:new Set()});
const result=promptDiff('a\nb\nc','a\nx\nc',encode);
console.log([result.inserted,result.removed,result.unchanged]); // [1,1,2]

Test and transfer

Line edits and token deltas are different quantities. Whitespace affects tokenization; a line edit is not semantic equivalence.

Record input, code version, expected result and observed result in the notebook below. Then construct a counterexample that violates the assumption above and explain why the original conclusion no longer follows.

Download complete kit (.tar.gz) · Complete reference kit and regression checks

Predict, test and keep evidence

Before revealing an answer, predict one result. After the exercise, record the discrepancy and a transfer test. Saved locally across language editions.

Open notebook / export / clear →

The mathematical review scope is recorded per lesson. It does not establish empirical paper reproduction; report suspected errors in your notes. Review scope