leanprover-community / leanprover-community/mathlib4

Tracking: explicit universes can improve performance substantially

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performance-hack
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Description

For AlgebraicGeometry.Scheme and similar bundled categories, elaboration seems to inject level metavariables resulting more steps in unification. Providing explicit universe annotations, Scheme.{u}, prevents this.

It would nice to understand what is happening.

Contributor guide

Open the contributing guide

First steps

  1. Read the whole issue, then the project's contributing guide.
  2. Comment on the issue to say you are picking it up — it saves two people doing the same work.
  3. Fork the repository and make your change on a branch.
  4. Open a pull request that references the issue number.

Research direction

No file or test is named. Start by reproducing the elaboration behavior for AlgebraicGeometry.Scheme and similar bundled categories, comparing implicit levels with explicit Scheme.{u} annotations. Done means explaining the source of the extra unification work and identifying a concrete, validated way to improve it.

Written by the indexing model from the issue text.

Assessment

Domain
compilers
Issue type
Bug
Difficulty
5/5
Estimated time
Over a week
Activity status
Stale
Clarity
Needs clarification
Newbie friendliness
25/100

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