old-vs-new

What problem does it solve?

This skill makes the mathematical and conceptual difference between a prior method and a new method immediately visible by producing a compact, structured Before/After comparison with explicit symbol definitions, a precise Diff, and a one-line Insight that names both benefit and cost.

Core Features & Use Cases

• Fixed-shape comparison block: emits a Before equation with self-contained symbol definitions, an After equation, a precise Diff line naming the exact term changes, and an Insight line stating the dimension improved and its cost.
• Domain-agnostic: works for algorithm comparisons, approximations versus exact forms, pipeline subroutine replacements, and any two things expressible as equations.
• Integration-ready: designed to be called by other skills (e.g., contrib-extract, pipeline-walk) and to delegate formula rigor and language checks to specialized skills.

Quick Start

Produce a concise old-vs-new block comparing Adam and SGD by showing both equations, defining all symbols, writing a precise Diff that names the changed term, and stating a one-line Insight with the benefit and cost.