feat(runtime): compile unified operator and scalar graphs

[zzylol]

Rebuilt on the revised stack (2026-10-03)

This PR was based on the old stack/528-legacy-physical-base. It now sits on the revised #540 (Phase A in #528), as four commits:

1. Restore execution timing assignment (ir/timing.rs). The revised feat(ir): add logical sub-DAG sharing and export without execution timing #537 exports only a logical DAG with no execution timing. The runtime still needs every node timed (ingestion vs query time), so the lifecycle → timing expansion comes back unchanged, except that it now carries coverage.

2. Export timed plans as PhysicalASAPDAG (ir/physical_export.rs, the docs: propose workload-wide planning, summary sharing, and materialization #509 name for the old PostAsapDAG). It reuses the logical export's payloads and node ids, and adds each node's and edge's data state, window compatibility and coverage. Tests: the timed export round-trips through JSON; a query-time producer feeding an ingestion-time consumer is rejected; an untimed plan is rejected.

3. The runtime itself, unchanged apart from names. The runtime's own split into precompute and query is renamed from PhysicalASAPDAG to CompiledPhysicalPlan, so it no longer collides with the docs: propose workload-wide planning, summary sharing, and materialization #509 plan type.

4. One root per batch query. Like the logical export (feat(ir): add logical sub-DAG sharing and export without execution timing #537), a PhysicalASAPDAG holds roots, one per query of the batch, and shared sub-DAGs are exported once. compile_physical_asap_workload(&[Rc<OperatorNode>]) exports a timed batch, and the runtime compiles all roots. Scalar query roots are not physical nodes yet.

Validation: the workspace passes clippy with -D warnings, and cargo test --workspace passes 2,027 tests with 0 failures.

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Revised Phase A stack (see #528): #567 → #560 → #537 → #539 → #540 → #541 → #542 → #543. The pre-rebuild description is in the PR history.

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