[ { "api_error_status": null, "duration_api_ms": 62683, "duration_ms": 62734, "fast_mode_disabled_reason": "sdk_opt_in_required", "fast_mode_state": "off", "first_content_frame_ms": 1563, "is_error": false, "modelUsage": { "claude-opus-5": { "cacheCreationInputTokens": 6536, "cacheReadInputTokens": 0, "canonicalModel": "claude-opus-5", "contextWindow": 1000000, "costBasis": "list", "costUSD": 0.183095, "inputTokens": 2, "maxOutputTokens": 64000, "outputTokens": 4709, "provider": "firstParty", "thinkingTokens": 1626, "webSearchRequests": 0 } }, "num_turns": 1, "permission_denials": [], "queued_turn_count": 0, "result": "## Preconditions\n\n1. A valid input is a single textual MLIR module body consisting of a sequence of complete top-level callable definitions, concatenated in order with no enclosing `module { ... }` wrapper, no target-triple/data-layout preamble, and no other top-level operations.\n2. The module may legitimately be empty (contain no callable at all), since one admissible parent form contributes no text whatsoever.\n3. Every top-level callable is either an imported callable spelled `llvm.func @NAME(args) -> RESULT { body }` or a native callable spelled `func.func @NAME(args) -> RESULT { body }`; no declaration-only (bodiless) callable, no variadic signature, and no visibility or linkage keyword ever appears.\n4. Every callable body terminates with a terminator matching its dialect: `llvm.return VALUE : TYPE` inside an `llvm.func`, and `return VALUE : TYPE` inside a `func.func`; the returned value's type always equals the declared result type.\n5. Each callable body is a single straight-line block: it contains no basic-block labels, no branches, loops, calls, constants, memory allocations, or any control flow.\n6. Every unresolved execution-shape choice is spelled as an `llvm.intr.fmuladd(a, b, c)` operation whose three operand types and result type are all one and the same type, written in the full form `: (T, T, T) -> T`.\n7. The type `T` of any `llvm.intr.fmuladd` is an exact standard numeric floating type or a fixed-shape vector of such a type \u2014 never an index type, integer type, dynamically shaped or ranked-tensor type, or an extended/non-standard float type.\n8. An `llvm.intr.fmuladd` may carry at most one optional attribute, a `fastmathFlags = #llvm.fastmath<...>` attribute; no other attribute (alignment, aliasing, metadata) is ever attached to it.\n9. Where a callable contains several `llvm.intr.fmuladd` operations, they form a single linear def\u2013use chain: the first operation's first operand is a block argument, and every subsequent operation's first operand is the SSA result of the immediately preceding one, while the second and third operands are the same two block arguments for all operations in the chain.\n10. All SSA value names are defined before use and are unique within their defining callable, and all symbol names (`@...`) are unique across the module, including the names of nested callables.\n11. Any function-level `attributes { ... }` dictionary on a callable holding an unresolved choice may state only a floating environment that ordinary standard-dialect arithmetic can restate exactly: contraction explicitly disabled, an all-IEEE denormal environment, or code-generation-only passthrough strings including non-trapping math; no `strictfp`, no constrained-FP or rounding-mode/exception-behavior attribute, and no unsafe/contract-enabling function attribute may appear.\n12. A nested callable is admissible: a native `func.func` may own a `builtin.module { ... }` region that in turn holds a complete `llvm.func` definition with its own body and terminator, and the unresolved choice may live entirely inside that nested callable.\n13. A callable body holding an unresolved choice may freely also contain ordinary unrelated computation \u2014 floating arithmetic (`llvm.fmul`, `llvm.fadd`) and integer arithmetic (`llvm.add` on `i32`) \u2014 including operations that consume the result of the fmuladd chain.\n14. A callable with no unresolved choice is equally a valid input; such a callable may contain ordinary floating arithmetic, an already-fused `math.fma`, or an already-split `arith.mulf`/`arith.addf` pair, and these operations may coexist in the same module with callables that do hold unresolved choices.\n15. No input ever mixes the resolved spellings (`math.fma`, `arith.mulf`, `arith.addf`) into the definition of an unresolved chain: within any one callable, an `llvm.intr.fmuladd` never feeds or is fed by those operations.\n\n## Sampling conventions\n\n1. The module is given exactly one to four parents (`randint(1, 4)`), each independently chosen; a different grammar could pick any other count or bound.\n2. Parents are drawn from exactly ten fixed skeletons \u2014 six unresolved forms (plain, typed, envelope, mixed, native, nested) plus four no-choice forms (ordinary, already-fused, already-split, empty) \u2014 and no other callable shape is ever produced.\n3. Symbol names are mechanically derived from the parent's zero-based index as `plain_I`, `typed_I`, `envelope_I`, `mixed_I`, `native_I`, `nested_I`, `ordinary_I`, `fused_I`, `split_I`, with the nested inner callable named `inner_nested_I`; the index counter advances even for the empty parent, so indices may be non-contiguous but never collide.\n4. Every emitted parent is followed by a blank line (`\\n\\n`); the empty parent emits nothing at all, not even whitespace.\n5. Unresolved chains are of length one to three for the plain and typed forms (`randint(1, 3)`) and one to two for the envelope, mixed, native and nested forms (`randint(1, 2)`); a chain of length zero is never emitted in an \"unresolved\" parent.\n6. Chained fmuladd results are always named `%r0`, `%r1`, `%r2` in order, and the chain always starts from the parameter `%x`, with `%y` and `%z` as the fixed second and third operands.\n7. Parameter names are fixed: `%x`, `%y`, `%z` for the three-operand forms, plus `%i : i32` in the mixed form and `%a` for the outer nested wrapper; no other parameter names or arities are used.\n8. All three operands and the result of every callable share a single type per parent \u2014 the grammar never emits a callable whose parameters differ in type (apart from the deliberate `i32` extra parameter of the mixed form).\n9. The element/operand type is sampled from a fixed five-member set only in the typed form (`f32`, `f64`, `f16`, `vector<4xf32>`, `vector<8xf64>`); the envelope, mixed, native, ordinary, fused and split forms are restricted to `f32` or `f64`, and the plain and nested forms are pinned to `f32`.\n10. Vector types therefore appear only in the typed form, and `f16` only there as well; no other vector shapes or element widths (e.g. `f80`, `bf16`, `vector<2xf16>`) are ever generated.\n11. Fast-math flags are sampled from exactly five spellings: absent, ``, ``, ``, and ``; no other flag combination is produced.\n12. Fast-math flags are attached only in the typed and envelope forms; the plain, mixed, native and nested forms always emit their fmuladds with no attribute at all.\n13. When a fast-math choice is made, the single chosen spelling is applied uniformly to every fmuladd in that parent's chain \u2014 flags are never varied per operation within a callable.\n14. Function-level attributes are emitted only by the envelope form, which emits exactly one attribute chosen from three fixed literal spellings (`fp_contract = \"off\"`; a fully-IEEE `denormal_fpenv`; a fixed seven-element `passthrough` list naming a `generic-rv64` target CPU); the grammar never emits two attributes together, and every other parent form has no `attributes` clause.\n15. The envelope form places its `attributes { ... }` clause on its own line indented by four spaces, between the signature line and the opening brace.\n16. The mixed form uses a fixed surrounding skeleton: a preceding `%scaled = llvm.fmul %x, %y` and `%counted = llvm.add %i, %i : i32`, and a trailing `%blended = llvm.fadd , %scaled` that is the returned value; `%counted` is deliberately left unused.\n17. The nested form uses a fixed two-level skeleton \u2014 a `func.func` taking and returning a single `%a`, a `builtin.module` region, and one inner `llvm.func` \u2014 and the outer function's returned value is always the untouched argument `%a`, never anything computed by the inner callable.\n18. Indentation is fixed textually rather than structurally: chain statements are always prefixed with exactly two spaces, so inside the nested form they appear at two spaces while the surrounding inner-callable terminator sits at six spaces.\n19. The no-choice parents use three fixed bodies only \u2014 a single `llvm.fadd` of two arguments, a single `math.fma` of three arguments, or an `arith.mulf` followed by `arith.addf` \u2014 with fixed result names `%sum`, `%fma`, `%prod`; no other resolved shape and no no-choice `func.func` is generated.\n20. All no-choice callables are spelled as `llvm.func` with `llvm.return`, even the ones whose bodies use the `math` and `arith` dialects.\n21. 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