[ { "api_error_status": null, "duration_api_ms": 56568, "duration_ms": 56614, "fast_mode_disabled_reason": "sdk_opt_in_required", "fast_mode_state": "off", "first_content_frame_ms": 1584, "is_error": false, "modelUsage": { "claude-opus-5": { "cacheCreationInputTokens": 5588, "cacheReadInputTokens": 0, "canonicalModel": "claude-opus-5", "contextWindow": 1000000, "costBasis": "list", "costUSD": 0.16199000000000002, "inputTokens": 2, "maxOutputTokens": 64000, "outputTokens": 4244, "provider": "firstParty", "thinkingTokens": 827, "webSearchRequests": 0 } }, "num_turns": 1, "permission_denials": [], "queued_turn_count": 0, "result": "## Preconditions\n\n1. Every emitted program is a single MLIR module body consisting of zero or more ownership-neutral callable declarations/definitions followed by one or more `dataflow.thread` definitions, with no other top-level constructs.\n2. Callable code, when present, appears only as an `llvm.func` declaration with an `(i64) -> i64` signature and a `func.func private` definition whose body consists solely of a `return` of its own block argument at the declared type, so that no callable creates, owns, or authorizes a dataflow graph.\n3. Each thread is declared as `dataflow.thread private @` carrying a `domain(#dataflow.thread_domain)` attribute, a data parameter list `(%limit: index, %memory: memref)`, a control parameter list `ctrl (%ctrl: none)`, and a body region terminated by `dataflow.thread.yield`.\n4. Thread symbol names are unique within the module, and the `graph_name` attribute of a thread's spatial region is derived from that same thread index, so graph names are likewise unique.\n5. A thread body is either entirely InstructionCore-resident code containing no spatial construct at all, or contains exactly one explicit `\"loom.spatial_region\"` operation; a thread never contains more than one spatial region and never nests one spatial region inside another.\n6. The spatial region is written in generic form with operands `(%limit, %memory)`, `operandSegmentSizes = array`, `resultSegmentSizes = array`, a discardable attribute dictionary supplying `graph_name` (a string) and `source_maps = []`, and the function type `(index, memref) -> ()`, i.e. the region produces no results.\n7. The spatial region's single entry block `^bb0` takes exactly two arguments, an `index` and a `memref`, positionally matching the two operands, and its region is terminated by `\"loom.spatial_yield\"()` with `operandSegmentSizes = array` and type `() -> ()`, yielding no values.\n8. The spatial region is treated as IsolatedFromAbove: every SSA value referenced anywhere inside the region is either one of the two entry block arguments, a constant defined in the region body, an induction variable or block argument of an enclosing SCF construct in the region, or a value defined earlier in the same region; no value defined outside the region (including `%limit`, `%memory`, `%ctrl`) is referenced from within it.\n9. All SSA names in the emitted program are distinct at their point of definition and every use is dominated by its definition, with the numeric suffixes of region-internal names drawn from a single module-wide counter so that no two SCF constructs or leaf operations share a suffix.\n10. The spatial region body begins with index constants and a boolean condition value defined before any control-flow construct that uses them, so the loop bounds and `scf.if` condition are always already-defined region-local values.\n11. Every `scf.for` uses compile-time constant lower bound, upper bound, and step of type `index`, carries no iteration arguments, and its body region has no explicit `scf.yield` operands (a value-free, source-sequential loop).\n12. Every `scf.if` is conditioned on an `i1` produced by `arith.cmpi` inside the region, produces no results, and has either a then-region only or both a then-region and an else-region; both forms are result-free.\n13. Every `scf.parallel` is in effect form: constant lower bound, upper bound, and step tuples of `index`, exactly one induction variable, no reduction init operands, no results, and a body region terminated by an argument-less `scf.reduce`.\n14. Every `scf.forall` is in effect form: a constant upper bound, exactly one induction variable, no `shared_outs`, no results, and no explicit `in_parallel` terminator operands.\n15. The first operations in the body of every `scf.parallel` and `scf.forall` compute a lane-disjoint element index by multiplying the enclosing index expression by the lane width and adding the lane's induction variable, so every memory access performed by that lane and by anything nested under it addresses that lane-private index.\n16. All memory accesses inside the spatial region go through the region's `memref` entry argument, use exactly one `index` subscript, and store only `index`-typed values, so load and store element types agree with the memref element type.\n17. Every `scf.while` has an `(index) -> index` signature: a `before` region that computes an `i1` with `arith.cmpi` and terminates with `scf.condition` forwarding its own block argument, and an `after` region whose `^bb0` takes one `index` argument, ends with `scf.yield` of a single `index` value, and whose loop-carried value is initialized from a region-local constant.\n18. Every region introduced by an SCF construct contains at least one operation before its terminator; no emitted block is empty.\n19. Control-flow nesting inside the spatial region is finite and acyclic in structure: constructs may be arbitrarily interleaved and nested but the nesting depth is bounded, guaranteeing a terminating program text.\n20. The non-spatial thread body form consists only of index constants and a `memref.store` through the thread's own `%memory` parameter, using an `index` subscript and an `index` value, and contains no SCF construct, no call, and no spatial operation.\n\n## Sampling conventions\n\n1. The module contains one or two threads, never zero and never more than two.\n2. The callable preamble is emitted as an all-or-nothing block: either both the `llvm.func @imported_callable` declaration and the `func.func private @native_callable` definition appear, or neither does; intermediate combinations are never produced.\n3. The callable signatures are fixed: `@imported_callable` is always `(i64) -> i64` and `@native_callable` always takes `%arg_a: i32` and returns it as `i32`; no other callable names, arities, or types occur.\n4. Thread names are always `@thread_` and graph names always `\"g_thread_\"` for the zero-based thread index `k`.\n5. Thread parameter names are fixed as `%limit`, `%memory`, and `%ctrl`, and the thread domain attribute is always `dense`; no other domain kind is emitted.\n6. Each thread independently chooses between the non-spatial body and the spatial body, so a module may mix spatial and non-spatial threads; both choices are possible for every thread.\n7. The non-spatial body is a fixed three-line skeleton defining `%izero = arith.constant 0`, `%ione = arith.constant 1`, and storing `%ione` into `%memory[%izero]`; nothing else is ever emitted in that form.\n8. The spatial region preamble is a fixed four-constant skeleton: `%zero = 0`, `%one = 1`, `%two = 2` (all `index`) and `%flag = arith.cmpi ult, %zero, %two`, so the `scf.if` condition is always this one comparison and is always statically true.\n9. Nesting depth inside the spatial region is chosen from 1 to 3; at depth 0 only leaf statements may be emitted, and each nested SCF construct consumes exactly one level.\n10. Every statement block (the region body and each SCF body) contains exactly one or two statements, never zero and never more than two.\n11. At any depth greater than zero the grammar picks uniformly among six statement forms \u2014 `scf.for`, `scf.if`, `scf.parallel`, `scf.forall`, `scf.while`, and a leaf \u2014 so all five SCF constructs and both leaf shapes can appear in any combination.\n12. All loop bounds are the fixed constants `%zero` to `%two` with step `%one`, and `scf.forall` always uses the literal upper bound `2`, giving a fixed trip count and a fixed lane width of two for every parallel construct.\n13. SSA suffixes come from one monotonically increasing module-wide counter, consumed by every SCF construct and every leaf statement (including the store-only leaf, which then leaves its number unused), yielding names such as `%iv3`, `%mx3`, `%ix3`, `%wr5`, `%ld7`.\n14. Name prefixes are fixed by role: `%iv` for induction variables, `%mx`/`%ix` for the lane index multiply/add pair, `%wr`/`%wa`/`%wc`/`%wb`/`%wn` for the while result, init, condition, body argument, and next value, and `%ld`/`%ad` for the load and its increment.\n15. The index expression used for memory accesses starts as `%zero` at the top of the spatial region and is replaced by the current construct's `%ix` only inside `scf.parallel` and `scf.forall` bodies; `scf.for`, `scf.if`, and `scf.while` bodies inherit the enclosing expression unchanged.\n16. The lane index is always computed as `enclosing_index * %two + %iv`, i.e. a multiply-by-two followed by an add, and never any other disjointness scheme.\n17. Leaf statements take one of exactly two shapes: a bare `memref.store %one, %target[idx]`, or a read-modify-write of `memref.load` followed by `arith.addi ..., %one` and a store of the incremented value at the same subscript.\n18. The `scf.while` skeleton is fixed: initial value `%zero`, condition `arith.cmpi ult, %wa, %two`, and body increment `arith.addi %wb, %one`, with the loop result always left unused.\n19. `scf.if` is emitted with or without an else region, both alternatives being possible; the else region, when present, is an independently sampled statement block.\n20. Only the generic assembly form is used for `loom.spatial_region` and `loom.spatial_yield`, while all SCF, arith, memref, and func operations are emitted in custom (pretty) form.\n21. The region entry block arguments are named `%lim` and `%target`, and `%lim` is never referenced by any emitted operation; only `%target` is used.\n22. 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