[ { "api_error_status": null, "duration_api_ms": 15810, "duration_ms": 15834, "fast_mode_disabled_reason": "sdk_opt_in_required", "fast_mode_state": "off", "first_content_frame_ms": 2084, "is_error": false, "modelUsage": { "claude-opus-5": { "cacheCreationInputTokens": 5522, "cacheReadInputTokens": 0, "canonicalModel": "claude-opus-5", "contextWindow": 1000000, "costBasis": "list", "costUSD": 0.083455, "inputTokens": 2, "maxOutputTokens": 64000, "outputTokens": 1129, "provider": "firstParty", "thinkingTokens": 379, "webSearchRequests": 0 } }, "num_turns": 1, "permission_denials": [], "queued_turn_count": 0, "result": "This postcondition quantifies universally over two independently selected sets of operations drawn from `output.operations`, so it inspects the subject's output program at every nesting depth and never consults `input`. The first selection, `definitions`, is every operation whose name is exactly `\"dataflow.thread\"` or `\"dataflow.graph\"`; the second, `symbol_users`, is every operation that carries an attribute or property keyed `\"callee\"`, regardless of that attribute's kind or the operation's name or dialect. For each member of `definitions` it accepts only operations that have a parent operation whose name is `\"builtin.module\"` (a root module with no parent fails the match, and a definition nested inside anything else fails), that have a key `\"sym_name\"` present in their attribute map, and that have a key `\"function_type\"` present whose attribute projects to a type with `kind == \"function\"`; a `\"function_type\"` attribute that is not type-valued produces an evaluation error rather than a clean rejection. For each member of `symbol_users` it resolves the `\"callee\"` attribute against the output program and rejects the program if any resolved target operation is named `\"dataflow.thread\"` while the using operation is not named `\"dataflow.thread.launch\"`, or is named `\"dataflow.graph\"` while the user is not named `\"dataflow.graph.launch\"`; resolved targets with any other name are unconstrained, and users are otherwise free to be any operation. The only value sources are operation names, the `parent_operation` option, attribute-key presence, the `function_type` attribute's type kind, and the result sequence of `mlir::resolve_symbol_reference` over the same output program \u2014 no operands, results, regions, blocks, types of values, segments, or counts are read. Both `forall` blocks are vacuously satisfied when their selections are empty: an output with no `dataflow.thread` or `dataflow.graph` operations imposes no structural requirements, and an output with no `\"callee\"`-bearing operations imposes no launch requirement. The launch assertion is also vacuously true for any user whose `\"callee\"` resolves to an empty sequence of targets, since `none` over an empty sequence holds. Non-vacuous behavior therefore requires at least one thread or graph operation present, or at least one `\"callee\"` user that resolves to at least one thread or graph definition.", "result_index": 0, "session_id": "778724d9-41a1-45ea-ad04-1db8268673ef", "stop_reason": "end_turn", "subagent_stats": { "by_type": {}, "completed": 0, "failed": 0, "killed": { "parent": 0, "system": 0, "user": 0 }, "max_depth": 0, "refused": { "budget": 0, "concurrency_limit": 0, "depth_limit": 0 }, "requested": { "background": 0, "foreground": 0, "unset": 0 }, "spawned": 0, "spawned_by_subagents": 0, "started_in_background": 0 }, "subtype": "success", "terminal_reason": "completed", "time_to_request_ms": 24, "total_cost_usd": 0.083455, "ttft_ms": 6709, "ttft_stream_ms": 1619, "type": "result", "usage": { "cache_creation": { "ephemeral_1h_input_tokens": 5522, "ephemeral_5m_input_tokens": 0 }, "cache_creation_input_tokens": 5522, "cache_read_input_tokens": 0, "inference_geo": "not_available", "input_tokens": 2, "iterations": [], "output_tokens": 1129, "output_tokens_details": { "thinking_tokens": 379 }, "server_tool_use": { "web_fetch_requests": 0, "web_search_requests": 0 }, "service_tier": "standard", "speed": "standard" }, "uuid": "d7de0099-15c4-478b-889b-28df6f0af472" } ]