Install any skill in seconds. Free to start, no credit card required.
Get Started Free →yogsoth-ai/decomposition-formulation
Strategy: decompose a complex research question into a hierarchy of independently answerable sub-questions
Passed 17 of 22 test cases with the skill, and 11 of 22 without it.
and 6 more in the full report
7 fixed10 passed either way4 still failing1 broke
Tokens, turns and time describe resource use, not a dollar price.
One of 7 test cases the skill fixed. Same model, same prompt, with and without the skill.
Here is a dataset containing test scores and study hours for 50 students: [Hours: 2, 4, 6... Scores: 55, 70, 85...]. Run a linear regression to compute the slope, intercept, and R-squared value.
| Checked | Without skill | With skill |
|---|---|---|
| Computes regression values without outputting a research question decomposition framework. | Missed | Passed |
The instructions your model reads when the skill loads.
Decompose a complex research question into independently answerable sub-questions — when a single experiment cannot answer the whole question.
Core logic: a complex problem = a combination of several simpler problems. Find the right decomposition such that each sub-question can be answered independently, and the answers to the sub-questions combine to answer the main question.
| Tier | Sub-questions | Dependency analysis | Sequence design |
|---|---|---|---|
| S | ≥2 sub-questions | basic dependency identification | suggested order |
| M | ≥3 sub-questions | dependency graph + critical path | optimal sequence + parallelization opportunities |
| L | ≥5 sub-questions | full dependency graph + cycle detection | multi-path plan + resource allocation |
test cases passed, vs 11 / 22 without
Published skills whose descriptions closely match this one, with their headline benchmark lift.
More skills from the same source and nearby in the registry, with their headline benchmark lift.