We have some examples in the plugin README: https://github.com/codelion/optillm/tree/main/optillm/plugin...

E.g. This was the strategy discovered by optiLLM for solving word problems:

*Refined Strategy for Solving Word Problems:*

1. *Understand:*\n * Read the problem carefully (multiple times).\n * Identify the question (what are you trying to find?).\n * List all given information (facts, numbers, units).\n * Clarify ambiguous terms/units.

2. *Organize Information & Identify Unknowns:*\n * Choose an organization method: (e.g., table, diagram, list, drawing).\n * Clearly identify the unknowns (what you need to solve for).

3. *Plan and Translate:*\n * Define all variables with units (e.g., `p = number of pennies`, `c = number of compartments`).\n * Identify relationships between knowns and unknowns.\n * Convert units if necessary.\n * Write equations or expressions, including units, that relate the knowns and unknowns.\n * Ensure units are consistent throughout the equations.\n * Outline the solution steps.

4. *Solve:*\n * Show work step-by-step.\n * Track units throughout calculations.\n * Calculate accurately.\n * Solve for the unknowns.\

5. *Evaluate and Verify:*\n * Check if the answer is reasonable.\n * Verify the answer.

6. *Summarize:*\n * State the answer with units

Full list of strategies discovered is available here -https://github.com/codelion/optillm/blob/main/optillm/plugin...