Contract

• Input: a numerical or symbolic mathematical problem.
• Output: Markdown artifact with algorithm choice, error analysis, computation, and verification.
• Side effects: none.
• Dependencies: none.
• Stop condition: artifact complete with error bounds and verification.
• Risk: low — computation only, no system changes.
• Boundary: may execute code for numerical work but only in-memory, no file writes.

Computational Math

Solve a mathematical problem numerically or symbolically with an algorithm whose error, stability, and cost are explicit. Never ship a black-box answer.

When to use

• The user wants a numerical result, symbolic simplification, or to choose between algorithms.
• A formula or expression needs to be evaluated, integrated, differentiated, or solved.
• An engineering / physics / quant problem needs a numerical kernel.