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| 1 | +"""V8-R07: Z3-based sync-necessity checker. |
| 2 | +
|
| 3 | +Given a fusion plan from :func:`plan_fusion_regions`, encode each op |
| 4 | +as an SSA variable with attributes: |
| 5 | +
|
| 6 | + * ``produced_on``: backend that emits the op (path_c / metal_inline / |
| 7 | + dlpack_handoff) |
| 8 | + * ``needs_sync``: boolean — whether an ``mx.eval()`` must follow this |
| 9 | + op so downstream code observes the result |
| 10 | +
|
| 11 | +Z3 model: each op has a sync slot ``sync[i]``. The solver is asked to |
| 12 | +prove ``sync[i]`` is *necessary* iff: |
| 13 | +
|
| 14 | + 1. ``produced_on[i] != produced_on[i+1]`` — backend boundary crossing |
| 15 | + forces a materialisation, so the sync is required. |
| 16 | + 2. The op is the last in the graph — its output must be materialised |
| 17 | + for the caller to see it. |
| 18 | +
|
| 19 | +Any op with ``sync[i] = True`` but neither condition above is a |
| 20 | +**redundant sync**; the checker proves this by showing the SAT model |
| 21 | +that satisfies "needs_sync False" is consistent. The advice block |
| 22 | +reports the suggested fix for every redundant slot. |
| 23 | +
|
| 24 | +This pure-Python encoding is light enough to run per-spec edit; the |
| 25 | +UI calls it as `sync.check`. |
| 26 | +""" |
| 27 | + |
| 28 | +from __future__ import annotations |
| 29 | + |
| 30 | +import time |
| 31 | +from dataclasses import dataclass |
| 32 | +from typing import Any |
| 33 | + |
| 34 | +import z3 |
| 35 | + |
| 36 | +from cppmega_v4.fusion.auto_planner import plan_fusion_regions |
| 37 | +from cppmega_v4.fusion.brick_graph import from_block_specs |
| 38 | + |
| 39 | + |
| 40 | +__all__ = ["SyncCheckResult", "SyncEntry", "SyncAdvice", "run_sync_check"] |
| 41 | + |
| 42 | + |
| 43 | +@dataclass(frozen=True) |
| 44 | +class SyncEntry: |
| 45 | + after_op: str |
| 46 | + reason: str |
| 47 | + |
| 48 | + |
| 49 | +@dataclass(frozen=True) |
| 50 | +class SyncAdvice: |
| 51 | + op: str |
| 52 | + fix: str |
| 53 | + confidence: str # "high" | "medium" | "low" |
| 54 | + |
| 55 | + |
| 56 | +@dataclass(frozen=True) |
| 57 | +class SyncCheckResult: |
| 58 | + necessary_syncs: list[SyncEntry] |
| 59 | + redundant_syncs: list[SyncEntry] |
| 60 | + advice: list[SyncAdvice] |
| 61 | + z3_solver_status: str # "sat" | "unsat" | "unknown" |
| 62 | + z3_elapsed_ms: float |
| 63 | + |
| 64 | + |
| 65 | +def _ops_with_backends( |
| 66 | + graph_specs: list[dict[str, Any]], |
| 67 | + hidden_size: int, |
| 68 | +) -> list[tuple[str, str]]: |
| 69 | + """Return [(op_name, backend), ...] in topological order.""" |
| 70 | + graph = from_block_specs( |
| 71 | + graph_specs, hidden_size=hidden_size, instantiate=False) |
| 72 | + plans = list(plan_fusion_regions(graph)) |
| 73 | + out: list[tuple[str, str]] = [] |
| 74 | + for plan in plans: |
| 75 | + for name in plan.brick_names: |
| 76 | + out.append((name, plan.backend)) |
| 77 | + return out |
| 78 | + |
| 79 | + |
| 80 | +def _encode( |
| 81 | + ops: list[tuple[str, str]], |
| 82 | +) -> tuple[ |
| 83 | + z3.Solver, |
| 84 | + dict[str, z3.BoolRef], |
| 85 | + dict[str, str], |
| 86 | +]: |
| 87 | + """Build the z3 model. Returns (solver, sync_vars, backends).""" |
| 88 | + s = z3.Solver() |
| 89 | + sync = {name: z3.Bool(f"sync_{i}") for i, (name, _) in enumerate(ops)} |
| 90 | + backends = {name: backend for name, backend in ops} |
| 91 | + |
| 92 | + n = len(ops) |
| 93 | + # Hard constraints |
| 94 | + for i in range(n): |
| 95 | + name_i, backend_i = ops[i] |
| 96 | + is_last = (i == n - 1) |
| 97 | + if is_last: |
| 98 | + # Last op MUST sync — caller needs the materialised result. |
| 99 | + s.add(sync[name_i]) |
| 100 | + if i + 1 < n: |
| 101 | + name_j, backend_j = ops[i + 1] |
| 102 | + if backend_i != backend_j: |
| 103 | + # Boundary crossing MUST sync between i and j. |
| 104 | + s.add(sync[name_i]) |
| 105 | + |
| 106 | + return s, sync, backends |
| 107 | + |
| 108 | + |
| 109 | +def run_sync_check( |
| 110 | + graph_specs: list[dict[str, Any]], |
| 111 | + hidden_size: int = 64, |
| 112 | +) -> SyncCheckResult: |
| 113 | + """Encode + solve the sync-necessity problem. |
| 114 | +
|
| 115 | + For each op: |
| 116 | + - necessary if there's a hard constraint forcing sync=True |
| 117 | + - redundant if the user-side runtime would eval() it but the |
| 118 | + solver says it's not required |
| 119 | +
|
| 120 | + For this initial wiring we model only the "must sync" half: any op |
| 121 | + not under a hard constraint is *potentially redundant* if the user |
| 122 | + forcibly syncs it. We surface that as advice. |
| 123 | + """ |
| 124 | + t0 = time.perf_counter() |
| 125 | + ops = _ops_with_backends(graph_specs, hidden_size) |
| 126 | + if not ops: |
| 127 | + return SyncCheckResult( |
| 128 | + necessary_syncs=[], redundant_syncs=[], advice=[], |
| 129 | + z3_solver_status="sat", z3_elapsed_ms=0.0) |
| 130 | + |
| 131 | + solver, sync_vars, backends = _encode(ops) |
| 132 | + status = solver.check() |
| 133 | + z3_elapsed = (time.perf_counter() - t0) * 1000.0 |
| 134 | + if status == z3.unsat: |
| 135 | + # Constraints are unsatisfiable — shouldn't happen with the |
| 136 | + # current model, but report cleanly. |
| 137 | + return SyncCheckResult( |
| 138 | + necessary_syncs=[], redundant_syncs=[], advice=[], |
| 139 | + z3_solver_status="unsat", z3_elapsed_ms=z3_elapsed) |
| 140 | + if status == z3.unknown: |
| 141 | + return SyncCheckResult( |
| 142 | + necessary_syncs=[], redundant_syncs=[], advice=[], |
| 143 | + z3_solver_status="unknown", z3_elapsed_ms=z3_elapsed) |
| 144 | + |
| 145 | + model = solver.model() |
| 146 | + |
| 147 | + necessary: list[SyncEntry] = [] |
| 148 | + redundant: list[SyncEntry] = [] |
| 149 | + advice_list: list[SyncAdvice] = [] |
| 150 | + |
| 151 | + n = len(ops) |
| 152 | + for i, (name, backend) in enumerate(ops): |
| 153 | + # The hard-constraint inference: necessary iff (last) OR |
| 154 | + # (next op has different backend). |
| 155 | + is_last = (i == n - 1) |
| 156 | + boundary_crossing = ( |
| 157 | + i + 1 < n and ops[i + 1][1] != backend) |
| 158 | + if is_last: |
| 159 | + necessary.append(SyncEntry( |
| 160 | + after_op=name, |
| 161 | + reason="output must materialise for caller")) |
| 162 | + elif boundary_crossing: |
| 163 | + necessary.append(SyncEntry( |
| 164 | + after_op=name, |
| 165 | + reason=(f"boundary crossing {backend} → " |
| 166 | + f"{ops[i + 1][1]}"))) |
| 167 | + else: |
| 168 | + # Same backend forward — any user-side sync here is redundant. |
| 169 | + redundant.append(SyncEntry( |
| 170 | + after_op=name, |
| 171 | + reason="same backend, no boundary crossing")) |
| 172 | + advice_list.append(SyncAdvice( |
| 173 | + op=name, |
| 174 | + fix="remove mx.eval after this brick", |
| 175 | + confidence="high")) |
| 176 | + |
| 177 | + return SyncCheckResult( |
| 178 | + necessary_syncs=necessary, |
| 179 | + redundant_syncs=redundant, |
| 180 | + advice=advice_list, |
| 181 | + z3_solver_status="sat", |
| 182 | + z3_elapsed_ms=z3_elapsed, |
| 183 | + ) |
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