[ { "api_error_status": null, "duration_api_ms": 45196, "duration_ms": 45258, "fast_mode_disabled_reason": "sdk_opt_in_required", "fast_mode_state": "off", "first_content_frame_ms": 1480, "is_error": false, "modelUsage": { "claude-opus-5": { "cacheCreationInputTokens": 6504, "cacheReadInputTokens": 0, "canonicalModel": "claude-opus-5", "contextWindow": 1000000, "costBasis": "list", "costUSD": 0.1525, "inputTokens": 2, "maxOutputTokens": 64000, "outputTokens": 3498, "provider": "firstParty", "thinkingTokens": 273, "webSearchRequests": 0 } }, "num_turns": 1, "permission_denials": [], "queued_turn_count": 0, "result": "## Preconditions\n\n1. Every emitted program is a single top-level `module { ... }` whose body contains, in this order, a `func.func` definition, an `llvm.func` declaration, a `func.func` host function, and one or more `dataflow.thread` definitions.\n2. Every program defines `func.func @helper_double(%a: i32) -> i32` whose body is `arith.addi %a, %a : i32` followed by `return`, i.e. a callee containing no graph or region construct.\n3. Every program declares the external symbol `llvm.func @extern_scale(i32) -> i32` with no body.\n4. Every program defines `func.func @host_container(%target: memref<4xi32>, %value: i32)` containing three `arith.constant ... : index` values (0, 4, 1), an `scf.for` over them whose body is a single `memref.store %value, %target[%hi] : memref<4xi32>`, and a bare `return`; this function contains no `loom.spatial_region`.\n5. Every `dataflow.thread` is declared `private`, carries `domain(#dataflow.thread_domain)`, takes exactly the argument list `(%mem: memref<4xi32>, %val: i32, %flag: i1)`, and has a control operand list `ctrl (%start: none)`.\n6. Every thread body begins with exactly three index constants bound to `%lo` = 0, `%hi` = 2, `%stp` = 1, before any other operation.\n7. Every thread body ends with `dataflow.thread.yield` as its terminator.\n8. Every thread body contains at least one `loom.spatial_region` operation.\n9. Every `loom.spatial_region` appears inside a `dataflow.thread` body, either directly at the thread's top level or nested exactly one level inside a structured `scf.if` or `scf.for` of that thread; regions are never nested inside one another and never appear in `func.func` or `llvm.func` bodies.\n10. Any `scf.if` wrapping a region is predicated on the thread argument `%flag` of type `i1` and has no results and no `else` branch; any `scf.for` wrapping a region iterates from `%lo` to `%hi` step `%stp` using the thread-level index constants and carries no iteration arguments.\n11. Every `loom.spatial_region` is written in generic operation form with a `<{operandSegmentSizes = array, resultSegmentSizes = array}>` properties dictionary, a single entry block region, and a trailing discardable attribute dictionary.\n12. The `operandSegmentSizes` array of each region has exactly four entries and the `resultSegmentSizes` array exactly two entries, and both sum-match the actual operand list and result list of the region's functional type signature.\n13. Every region's entry block `^bb0` has one block argument per region operand, with matching types, and those block arguments are the only values flowing into the region body from outside.\n14. Every region body is terminated by a `\"loom.spatial_yield\"` operation in generic form with its own two-entry `operandSegmentSizes` array, whose operand count and types match the region's result count and types.\n15. Region operands are drawn only from the enclosing thread's own arguments (`%val` of type `i32`, `%mem` of type `memref<4xi32>`, `%flag` of type `i1`), never from values defined earlier in the thread body or from another region's results.\n16. Every `loom.spatial_region` carries exactly the two discardable attributes `graph_name` (a string) and `source_maps` (an empty array), and the `graph_name` value is unique across the whole module.\n17. Region results, when present, are bound to SSA names that are unique across the whole module.\n18. Regions that yield no value produce no SSA result and are written as a bare operation of type `... -> ()`.\n19. Any memory access inside a region body addresses only a `memref<4xi32>` passed in as a region operand, indexed by a constant defined inside that region body, never by an index constant defined in the enclosing thread.\n20. Calls occurring inside a region body target only symbols declared at module scope (`@helper_double` via `func.call`, `@extern_scale` via `llvm.call`), and the same is true of any call placed in a thread body outside a region.\n21. A `func.call` to `@helper_double` may appear directly in a thread body, positioned after the thread's index constants and before the first region site.\n22. Control flow inside a region body is limited to structured `scf.if` with both branches and `scf.yield`, or `scf.for` with `iter_args` and `scf.yield`; no unstructured branches, no multi-block regions beyond `^bb0` plus structured nesting.\n23. All integer values in the program are `i32` except the predicate `%flag`/`%c`, which is `i1`, and all loop bounds and memref indices, which are `index`.\n24. Thread symbol names, graph names and region result names are correlated: no two threads share a symbol name and no two regions share either a graph name or a result name.\n\n## Sampling conventions\n\n1. The number of `dataflow.thread` definitions is exactly 1 or 2.\n2. Threads are named `@thread_0` and, if present, `@thread_1`, using a counter starting at 0 and incremented per thread.\n3. Each thread contains exactly 1 or 2 region sites, chosen independently per thread, so a module holds between 1 and 4 regions in total.\n4. A single module-wide counter starting at 0 numbers the regions in emission order, producing result names `%r0, %r1, ...` and graph names `\"graph_0\", \"graph_1\", ...\"`; the counter is shared across threads rather than reset per thread.\n5. The counter is incremented once per region site, including for the value-less memory form that emits no `%r` name, so graph-name indices may skip values used by no SSA result.\n6. Whether a thread contains the top-level `func.call @helper_double(%val)` is an independent binary choice per thread; when present it is emitted exactly once, bound to `%icall`, and its result is never used.\n7. The nesting of each site is chosen from exactly three options \u2014 no nesting, an `scf.if %flag` wrapper, or an `scf.for` wrapper \u2014 with the un-nested form sampled at twice the weight of each wrapper.\n8. Each site's region contents are chosen from exactly six fixed bodies: pure arithmetic value-in/value-out, value-plus-memref store with no result, internal `scf.if` selection, `llvm.freeze`, internal `scf.for` with `iter_args`, and an in-region call; the first five are sampled at twice the weight of the call form.\n9. The in-region call form further chooses uniformly between `func.call @helper_double` and `llvm.call @extern_scale`.\n10. The arithmetic body is fixed as `%s = arith.addi %a, %a` then `%p = arith.muli %s, %a`, yielding `%p`.\n11. The memory body is fixed as a zero `index` constant followed by `memref.store %payload, %memory[%z]`, yielding nothing, and it is the only form whose `operandSegmentSizes` is `array` and `resultSegmentSizes` is `array`.\n12. The branch body is fixed as `scf.if %c -> (i32)` with `arith.addi %a, %a` in the then branch and `arith.muli %a, %a` in the else branch; it is the only form taking `%flag` as a region operand and the only one with `operandSegmentSizes = array`.\n13. The loop body is fixed with constants 0, 2, 1 and a single `arith.addi %carry, %a` accumulation, yielding the loop result.\n14. All value-producing forms use the operand segment layout `array` and result segment layout `array`, and never exercise the second, third or fourth operand segments beyond the memory and branch cases above.\n15. `source_maps` is always emitted as the literal empty list `[]`; no non-empty source map is ever generated.\n16. The helper preamble is a constant: exactly one `func.func` callee and one `llvm.func` declaration, both fixed in name, arity and body, regardless of whether any emitted region or thread actually calls them.\n17. The `@host_container` function is a constant preamble with fixed argument names and bounds 0/4/1, and it is emitted exactly once even though nothing calls it.\n18. Memref types are fixed at `memref<4xi32>` and thread-level loop trip counts at 2 (`%lo`=0, `%hi`=2, `%stp`=1) everywhere; no other shape, element type, or bound is ever emitted.\n19. Region-internal SSA names are reused verbatim across regions in distinct scopes (`%a`, `%s`, `%p`, `%z`, `%sel`, `%acc`, `%called`, `%stable`), and wrapper induction variables are always `%iv` inside a thread and `%i` inside a region loop.\n20. Indentation is fixed: thread-level operations at two spaces, wrapped operations and region headers at four, region bodies at six or more; each thread definition is followed by a blank line.\n21. No thread ever emits zero sites, and no program ever emits a region outside a thread, so the empty-thread and host-side-region shapes are never exercised.\n22. Nesting depth is capped at one wrapper level per site; `scf.if` inside `scf.for` or any deeper nesting of sites is never emitted.\n23. 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