math-solver-orchestration-batching
The groupant beside math/src/solve.rs in the Mova repository: what the code computes, what it never does, how to go back from its outputs, its invariants, cost and checks.
Facts
Implementation material. A Mova code model describes this code at one source revision: partial models, finite checks and their stated scope. It is not a reviewed general exposition, and its labels are shown as written, never raised.
Components
| component | label | where |
|---|---|---|
| approximant | partial | approximant |
| ast | partial | ../syntax.json |
| composition | partial | composition |
| descriptant | present | descriptant |
| invariant | partial | invariant |
| tests | partial bounded evidence | tests |
Obernants
The typed relations around the forward model: the behaviour complement (what the code never does), the reverse reconstruction (every input compatible with an output) and specialised views.
| id | type | label | where |
|---|---|---|---|
behavior_complement | behavior_complement | partial source derived model | behavior_complement |
reverse_reconstruction | reverse_reconstruction | partial source derived model | reverse_reconstruction |
failure_precedence | failure_precedence | partial source derived model | failure_precedence |
representation_transport | representation_transport | partial source derived model | representation_transport |
resource_boundary | resource_boundary | partial source derived model | resource_boundary |
domain_boundary | domain_boundary | partial source derived model | domain_boundary |
Model text
descriptant
Source-bound description
Cost/time divided by max(n,1), token integer division. Append under local Mutex. Chunks max(batch,1), workers max(par,1), atomic claims, sort records by id. parse_answers keeps last JSON answer per id, skips null.
Epoch 2026-10-31: prospective model before bounded synthetic tests; production behavior unchanged. Source scope bytes[2107,3906). Teacher/Lean loops and append-failure path unexecuted; no accuracy claim. Not every branch in this fragment executed.
approximant
Forward relation
Cost/time divided by max(n,1), token integer division. Append under local Mutex. Chunks max(batch,1), workers max(par,1), atomic claims, sort records by id. parse_answers keeps last JSON answer per id, skips null.
Domain: Finite batches; token sum/counters unchecked; callback/poison panic possible.
Executable Rust approximant unsupported: categorical/effect observations have no useful percentage metric yet. Future caps1/2/5/10% only; no automatic substitution.
invariant
Invariant and cost
Empty problems excludes callback work. Null answer excluded from parsed map insertion, but missing id may become empty key.
Ordering: Claim chunk→callback→append output vector; sort only after threads join. parse answer string/null/JSON representation.
Cost: O(problems+records log records)+callback work and JSON serialization; worker count not upper-clamped.
composition
Composition and epoch memory
run_a/run_b callback append order independent of final returned sorting; per-Run lock not cross-process protection.
Source scope bytes[2107,3906). Teacher/Lean loops and append-failure path unexecuted; no accuracy claim. Not every branch in this fragment executed.
Partial syntax and finite tests do not establish all caller assumptions.
models
behavior_complement
Empty problems excludes callback work. Null answer excluded from parsed map insertion, but missing id may become empty key.
reverse_reconstruction
Shared tokens lose remainder, sorted records lose worker schedule. Last-answer map admits arbitrary earlier duplicate values.
failure_precedence
Claim chunk→callback→append output vector; sort only after threads join. parse answer string/null/JSON representation.
representation_transport
run_a/run_b callback append order independent of final returned sorting; per-Run lock not cross-process protection.
resource_boundary
O(problems+records log records)+callback work and JSON serialization; worker count not upper-clamped.
domain_boundary
Finite batches; token sum/counters unchecked; callback/poison panic possible.
tests
Evidence, 2026-10-31
Selected actual-source checks: cargo test -p math --lib solve::wave28. Exact commands, numeric statuses, normalized outcomes, compiled assertion controls and restoration receipts are in the external wave28 mathcontrol run.
Source scope bytes[2107,3906). Teacher/Lean loops and append-failure path unexecuted; no accuracy claim. Not every branch in this fragment executed.
No live teacher/API, trained model, corpus/held-out, GPU, DB or expensive benchmark run. Parent syntax generated twice identically. Scope remains partial.
This page in Markdown → https://md.groupants.elamur.ai/free/en/mova/math/src/solve.rs.groupant/batching.groupant/