Gemini 3.8 Flash (effort medium · thinking on) on Tide height by rule of twelfths and cosine, with under-keel clearance windows
GGemini 3.8 Flashmedium · thinking on · Antigravity CLI 1.4.5 (agy -p) · cloud · 2026-10-22 · by @bobsiopener
- Estimated cost
- $0.39
- Wall time
- 4m
- Human step-ins
- 0
- Outcome
- Pass
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Summary
Exact prompt
# Tide height by rule of twelfths and cosine, and under-keel clearance `input.json` (synthetic, not for navigation) gives two consecutive tide events `event1` and `event2` (`time_min` minutes, `height_m`; either rising or falling), `chart_depth_m`, the boat's `draft_m`, required `min_ukc_m`, `need_minutes`, and `queries` (minutes). Write `solve.py` (Python 3 standard library only); `python solve.py input.json answer.json` writes `answer.json` and `tide.svg`. Fresh inputs are used too. ## Rules Let T = event2 time - event1 time and f = (t - event1 time) / T clamped to [0, 1]. Height = h1 + (h2 - h1) * F(f). - **Twelfths**: split [0, 1] into 6 equal parts; cumulative fractions at the part boundaries are 0, 1, 3, 6, 9, 11, 12 twelfths; interpolate linearly inside a part. - **Cosine**: F(f) = (1 - cos(pi * f)) / 2. - Under-keel clearance UKC = chart_depth + height(twelfths) - draft. A query is `safe` if UKC >= min_ukc. `required_height_m` = draft + min_ukc - chart_depth. - Safe window (per method): scan whole minutes t from event1 to event2 inclusive; a run is consecutive minutes with height >= required height. Report the first run whose length end - start (minutes) is >= `need_minutes` as `{"start", "end"}` (first and last safe minute), or null. - `max_method_diff_m`: the largest |twelfths - cosine| over those whole minutes. Use a 1e-9 tolerance on the >= comparisons. Round heights and UKC to 3 decimals. ## Visual output: tide.svg Static, self-contained SVG (root `<svg>`, no scripts, images, links or external assets; renders headless) with `<polyline id="tide-twelfths">`, `<polyline id="tide-cosine">` and `<line id="min-depth-line">` at the required height. The drawing itself is not graded. ## answer.json `{"required_height_m", "queries": [{"t", "twelfths", "cosine", "ukc", "safe"}, ...], "window_twelfths", "window_cosine", "max_method_diff_m"}` ## Scoring Hidden checks (partial credit; all must pass): `query_heights`, `safe_windows` (exact), `method_difference`, `tide_svg_static` (tide.svg exists, follows the static rules, has the ids/tags above), `fresh_run_1`, `fresh_run_2`. Numbers within 0.0015. 60-second limit per run.
Piecewise twelfths interpolation vs the cosine curve on rising and falling tides, a clamped fraction, a minute-by-minute run search with a length rule, and exact window endpoints. Original benchmark task written for usecaserank.com. Headless, offline run on a reproducible fixture. Cost shown is a list-price API-equivalent estimate (run on a Google account via Antigravity CLI, not billed per token).
Benchmark code for comparing AI models, not navigation or safety software.
Success criteria: 1. query_heights 2. safe_windows 3. method_difference 4. tide_svg_static 5. fresh_run_1 6. fresh_run_2
Setup notes: Use Case Scout batch10 case k05-tide-underkeel-clearance (offline fixture). Prepared with batch10/prepare.sh on the shared box; only TASK.md + starting files went to the agent machine, hidden keys stayed on the box. Prompt = TASK.md verbatim. Flags: -p --model gemini-3.8-flash-medium --sandbox --dangerously-skip-permissions --disable-slash-commands --output-format stream-json, cwd=workdir. Scored on the box with `python score.py WORKDIR KEYDIR`. Single run, no retries, no human input. Visual output (tide.svg) rendered offline to PNG with google-chrome headless, network blocked, 1280x800 at ~3 s after load. Requested model gemini-3.8-flash-medium (effort medium); priced at the base model row gemini-3.8-flash (pricing.json, https://ai.google.dev/gemini-api/docs/pricing). Score: 6/6. Cost is an ESTIMATE: measured tokens x pricing.json list price (Google account, nothing billed per token); output_tokens include thinking tokens. Tool calls 31 (0 failed). Single run.
Estimated cost List-price estimate; not actually billed.
Output
Metrics
- Estimated cost
- $0.39
- Wall time
- 4m
- Human step-ins
- 0
- Turns
- 32
| Model | Input tok | Output tok | Cost |
|---|---|---|---|
| GGemini 3.8 Flashgoogle/gemini-3.8-flasheffort medium · thinking on | 1,254,083 | 41,997 | $0.39 |
Reproduce this run
- Use the use case prompt on the use case page.
- Same setup: Gemini 3.8 Flash (google/gemini-3.8-flash, effort medium · thinking on) via
Antigravity CLI 1.4.5 (agy -p), cloud. - It counts as a success only if it meets every success criterion: 1. query_heights 2. safe_windows 3. method_difference 4. tide_svg_static 5. fresh_run_1 6. fresh_run_2
- Log model, tokens, wall time, human step-ins and the evidence log, then submit it as a reproduction. A different model? Submit a head-to-head rerun.
How runs are scored: Methodology.
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Automated checks
Trust 80% comes from these checks (how Trust % works).
- Run date is not in the future : passed
- Model is in the dated pricing table : passed
- Cost recomputed from tokens matches : passed
- Cached tokens are consistent : passed
- Output throughput is plausible : passed
- Autonomy matches step-ins : passed
- Step-ins do not exceed turns : passed
- Retries agree with first-try result : passed
- Evidence log SHA-256 matches : passed
- Evidence log is substantial : passed
Evidence log
{"event": "init", "conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "init": {"model": "gemini-3.8-flash-medium", "cwd": "/home/bob/usecase-runs/agy-batch/out/gemini-3.8-flash-medium/k05/work", "tools": ["ask_custom_permission", "ask_permission", "ask_question", "browser_click_element", "browser_drag_pixel_to_pixel", "browser_get_dom", "browser_get_network_request", "browser_input", "browser_list_network_requests", "browser_mouse_down", "browser_mouse_up", "browser_move_mouse", "browser_press_key", "browser_refresh_page", "browser_resize_window", "browser_scroll", "browser_scroll_dom", "browser_select_option", "browser_subagent", "call_mcp_tool", "capture_browser_console_logs", "capture_browser_screenshot", "click_browser_pixel", "command_status", "define_subagent", "delete_knowledge", "execute_browser_javascript", "find_by_name", "finish", "generate_image", "grep_search", "invoke_subagent", "list_browser_pages", "list_dir", "list_permissions", "list_plugin_accounts", "list_resources", "manage_inbox", "manage_subagents", "manage_task", "multi_replace_file_content", "notebook_edit", "notebook_execution", "open_browser_url", "read_browser_page", "read_resource", "read_url_content", "replace_file_content", "run_command", "run_workflow", "schedule", "search_marketplace", "search_web", "sed_file", "send_command_input", "send_message", "view_file", "wait", "wait_5_seconds", "write_to_file"], "permission_mode": "always-proceed"}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 0, "state": "DONE", "step_type": "user_input"}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 1, "state": "DONE", "step_type": "agent_response", "duration_seconds": 2.314910248, "usage": {"input_tokens": 8497, "output_tokens": 112, "thinking_tokens": 75, "cache_read_tokens": 0, "total_tokens": 8609}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 2, "state": "ACTIVE", "step_type": "tool", "tool_name": "run_command", "tool_info": {"name": "run_command", "parameters": {"CommandLine": "ls -la"}}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 2, "state": "DONE", "step_type": "tool", "tool_name": "run_command", "duration_seconds": 0.257374041, "tool_info": {"name": "run_command", "parameters": {"CommandLine": "ls -la"}, "output": "Command exited with code 0.\n\nCommand output:\ntotal 16\r\ndrwxr-xr-x 2 bob bob 4096 Oct 22 10:28 .\r\ndrwxrwxr-x 3 bob bob 4096 Oct 22 10:33 ..\r\n-rw-r--r-- 1 bob bob 2165 Oct 22 10:28 TASK.md\r\n-rw-r--r-- 1 bob bob 281 Oct 22 10:28 input.json\r\n"}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 3, "state": "DONE", "step_type": "agent_response", "duration_seconds": 2.792562311, "usage": {"input_tokens": 8811, "output_tokens": 66, "thinking_tokens": 15, "cache_read_tokens": 0, "total_tokens": 8877}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 4, "state": "ACTIVE", "step_type": "tool", "tool_name": "read_file", "tool_info": {"name": "read_file", "parameters": {"Path": "/home/bob/usecase-runs/agy-batch/out/gemini-3.8-flash-medium/k05/work/TASK.md"}}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 4, "state": "DONE", "step_type": "tool", "tool_name": "read_file", "duration_seconds": 0.040395711, "tool_info": {"name": "read_file", "parameters": {"Path": "/home/bob/usecase-runs/agy-batch/out/gemini-3.8-flash-medium/k05/work/TASK.md"}, "output": "21 lines, 2165 bytes"}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 5, "state": "DONE", "step_type": "agent_response", "duration_seconds": 4.158683989, "usage": {"input_tokens": 9710, "output_tokens": 61, "thinking_tokens": 10, "cache_read_tokens": 0, "total_tokens": 9771}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 6, "state": "ACTIVE", "step_type": "tool", "tool_name": "read_file", "tool_info": {"name": "read_file", "parameters": {"Path": "/home/bob/usecase-runs/agy-batch/out/gemini-3.8-flash-medium/k05/work/input.json"}}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 6, "state": "DONE", "step_type": "tool", "tool_name": "read_file", "duration_seconds": 0.128939834, "tool_info": {"name": "read_file", "parameters": {"Path": "/home/bob/usecase-runs/agy-batch/out/gemini-3.8-flash-medium/k05/work/input.json"}, "output": "26 lines, 281 bytes"}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 7, "state": "DONE", "step_type": "agent_response", "duration_seconds": 2.146309297, "usage": {"input_tokens": 10127, "output_tokens": 53, "thinking_tokens": 17, "cache_read_tokens": 0, "total_tokens": 10180}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 8, "state": "ACTIVE", "step_type": "tool", "tool_name": "run_command", "tool_info": {"name": "run_command", "parameters": {"CommandLine": "git status"}}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 8, "state": "DONE", "step_type": "tool", "tool_name": "run_command", "duration_seconds": 0.254478666, "tool_info": {"name": "run_command", "parameters": {"CommandLine": "git status"}, "output": "Command exited with code 128.\n\nCommand output:\nfatal: not a git repository (or any parent up to mount point /)\r\nStopping at filesystem boundary (GIT_DISCOVERY_ACROSS_FILESYSTEM not set).\r\n"}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 9, "state": "DONE", "step_type": "agent_response", "duration_seconds": 1.843581642, "usage": {"input_tokens": 10304, "output_tokens": 58, "thinking_tokens": 20, "cache_read_tokens": 0, "total_tokens": 10362}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 10, "state": "ACTIVE", "step_type": "tool", "tool_name": "run_command", "tool_info": {"name": "run_command", "parameters": {"CommandLine": "ls -la .."}}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 10, "state": "DONE", "step_type": "tool", "tool_name": "run_command", "duration_seconds": 0.265254652, "tool_info": {"name": "run_command", "parameters": {"CommandLine": "ls -la .."}, "output": "Command exited with code 0.\n\nCommand output:\ntotal 24\r\ndrwxrwxr-x 3 bob bob 4096 Oct 22 10:33 .\r\ndrwxrwxr-x 4 bob bob 4096 Oct 22 10:33 ..\r\n-rw-rw-r-- 1 bob bob 6167 Oct 22 10:33 events.jsonl\r\n-rw-rw-r-- 1 bob bob 103 Oct 22 10:33 meta.txt\r\n-rw-rw-r-- 1 bob bob 0 Oct 22 10:33 stderr.txt\r\ndrwxr-xr-x 2 bob bob 4096 Oct 22 10:28 work\r\n"}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 11, "state": "DONE", "step_type": "agent_response", "duration_seconds": 16.036769707, "usage": {"input_tokens": 2529, "output_tokens": 5462, "thinking_tokens": 4890, "cache_read_tokens": 8089, "total_tokens": 7991}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 12, "state": "ACTIVE", "step_type": "tool", "tool_name": "run_command", "tool_info": {"name": "run_command", "parameters": {"CommandLine": "python3 -c '\nimport json, math\n\nwith open(\"input.json\") as f:\n data = json.load(f)\n\nt1 = data[\"event1\"][\"time_min\"]\nh1 = data[\"event1\"][\"height_m\"]\nt2 = data[\"event2\"][\"time_min\"]\nh2 = data[\"event2\"][\"height_m\"]\nT = t2 - t1\nreq_h = data[\"draft_m\"] + data[\"min_ukc_m\"] - data[\"chart_depth_m\"]\nprint(f\"t1={t1}, h1={h1}, t2={t2}, h2={h2}, T={T}, req_h={req_h}\")\n\ndef F_twelfths(f):\n f = max(0.0, min(1.0, f))\n boundaries = [0, 1/6, 2/6, 3/6, 4/6, 5/6, 1.0]\n cum = [0, 1/12, 3/12, 6/12, 9/12, 11/12, 12/1\u2026"}}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 12, "state": "DONE", "step_type": "tool", "tool_name": "run_command", "duration_seconds": 0.301304513, "tool_info": {"name": "run_command", "parameters": {"CommandLine": "python3 -c '\nimport json, math\n\nwith open(\"input.json\") as f:\n data = json.load(f)\n\nt1 = data[\"event1\"][\"time_min\"]\nh1 = data[\"event1\"][\"height_m\"]\nt2 = data[\"event2\"][\"time_min\"]\nh2 = data[\"event2\"][\"height_m\"]\nT = t2 - t1\nreq_h = data[\"draft_m\"] + data[\"min_ukc_m\"] - data[\"chart_depth_m\"]\nprint(f\"t1={t1}, h1={h1}, t2={t2}, h2={h2}, T={T}, req_h={req_h}\")\n\ndef F_twelfths(f):\n f = max(0.0, min(1.0, f))\n boundaries = [0, 1/6, 2/6, 3/6, 4/6, 5/6, 1.0]\n cum = [0, 1/12, 3/12, 6/12, 9/12, 11/12, 12/1\u2026"}, "output": "Command exited with code 0.\n\nCommand output:\nt1=597, h1=0.96, t2=937, h2=2.91, T=340, req_h=1.5400000000000003\r\ntwelfths safe count: 216 min: 722 max: 937\r\ncosine safe count: 216 min: 722 max: 937\r\n"}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 13, "state": "DONE", "step_type": "agent_response", "duration_seconds": 4.27997333, "usage": {"input_tokens": 16268, "output_tokens": 750, "thinking_tokens": 212, "cache_read_tokens": 0, "total_tokens": 17018}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 14, "state": "ACTIVE", "step_type": "tool", "tool_name": "run_command", "tool_info": {"name": "run_command", "parameters": {"CommandLine": "python3 -c '\nimport json, math\n\nwith open(\"input.json\") as f:\n data = json.load(f)\n\nt1 = data[\"event1\"][\"time_min\"]\nh1 = data[\"event1\"][\"height_m\"]\nt2 = data[\"event2\"][\"time_min\"]\nh2 = data[\"event2\"][\"height_m\"]\nT = t2 - t1\nreq_h = data[\"draft_m\"] + data[\"min_ukc_m\"] - data[\"chart_depth_m\"]\n\ndef F_twelfths(f):\n f = max(0.0, min(1.0, f))\n boundaries = [0, 1/6, 2/6, 3/6, 4/6, 5/6, 1.0]\n cum = [0, 1/12, 3/12, 6/12, 9/12, 11/12, 12/12]\n for k in range(6):\n if f <= boundaries[k+1] or k == 5\u2026"}}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 14, "state": "DONE", "step_type": "tool", "tool_name": "run_command", "duration_seconds": 0.698678165, "tool_info": {"name": "run_command", "parameters": {"CommandLine": "python3 -c '\nimport json, math\n\nwith open(\"input.json\") as f:\n data = json.load(f)\n\nt1 = data[\"event1\"][\"time_min\"]\nh1 = data[\"event1\"][\"height_m\"]\nt2 = data[\"event2\"][\"time_min\"]\nh2 = data[\"event2\"][\"height_m\"]\nT = t2 - t1\nreq_h = data[\"draft_m\"] + data[\"min_ukc_m\"] - data[\"chart_depth_m\"]\n\ndef F_twelfths(f):\n f = max(0.0, min(1.0, f))\n boundaries = [0, 1/6, 2/6, 3/6, 4/6, 5/6, 1.0]\n cum = [0, 1/12, 3/12, 6/12, 9/12, 11/12, 12/12]\n for k in range(6):\n if f <= boundaries[k+1] or k == 5\u2026"}, "output": "Command exited with code 0.\n\nCommand output:\nt=597: tw=0.96, cos=0.96, ukc=0.02, safe=False\r\nt=628: tw=1.049, cos=1.0, ukc=0.109, safe=False\r\nt=648: tw=1.106, cos=1.066, ukc=0.166, safe=False\r\nt=653: tw=1.121, cos=1.088, ukc=0.181, safe=False\r\nt=656: tw=1.136, cos=1.101, ukc=0.196, safe=False\r\nt=767: tw=1.935, cos=1.935, ukc=0.995, safe=True\r\nt=867: tw=2.671, cos=2.713, ukc=1.731, safe=True\r\nt=880: tw=2.746, cos=2.778, ukc=1.806, safe=True\r\nt=902: tw=2.81, cos=2.859, ukc=1.87, safe=True\r\nt=937: tw=2.91, cos=2.91, ukc=1.97, safe=True\r\n"}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 15, "state": "DONE", "step_type": "agent_response", "duration_seconds": 4.915268807, "usage": {"input_tokens": 5263, "output_tokens": 513, "thinking_tokens": 26, "cache_read_tokens": 12180, "total_tokens": 5776}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 16, "state": "ACTIVE", "step_type": "tool", "tool_name": "run_command", "tool_info": {"name": "run_command", "parameters": {"CommandLine": "python3 -c '\nimport json, math\n\nwith open(\"input.json\") as f:\n data = json.load(f)\n\nt1 = data[\"event1\"][\"time_min\"]\nh1 = data[\"event1\"][\"height_m\"]\nt2 = data[\"event2\"][\"time_min\"]\nh2 = data[\"event2\"][\"height_m\"]\nT = t2 - t1\n\ndef F_twelfths(f):\n f = max(0.0, min(1.0, f))\n boundaries = [0, 1/6, 2/6, 3/6, 4/6, 5/6, 1.0]\n cum = [0, 1/12, 3/12, 6/12, 9/12, 11/12, 12/12]\n for k in range(6):\n if f <= boundaries[k+1] or k == 5:\n alpha = (f - boundaries[k]) / (1/6)\n return\u2026"}}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 16, "state": "DONE", "step_type": "tool", "tool_name": "run_command", "duration_seconds": 0.285223003, "tool_info": {"name": "run_command", "parameters": {"CommandLine": "python3 -c '\nimport json, math\n\nwith open(\"input.json\") as f:\n data = json.load(f)\n\nt1 = data[\"event1\"][\"time_min\"]\nh1 = data[\"event1\"][\"height_m\"]\nt2 = data[\"event2\"][\"time_min\"]\nh2 = data[\"event2\"][\"height_m\"]\nT = t2 - t1\n\ndef F_twelfths(f):\n f = max(0.0, min(1.0, f))\n boundaries = [0, 1/6, 2/6, 3/6, 4/6, 5/6, 1.0]\n cum = [0, 1/12, 3/12, 6/12, 9/12, 11/12, 12/12]\n for k in range(6):\n if f <= boundaries[k+1] or k == 5:\n alpha = (f - boundaries[k]) / (1/6)\n return\u2026"}, "output": "Command exited with code 0.\n\nCommand output:\nmax_diff raw: 0.04982427846001514 rounded: 0.05\r\n"}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 17, "state": "DONE", "step_type": "agent_response", "duration_seconds": 7.970638891, "usage": {"input_tokens": 5897, "output_tokens": 1310, "thinking_tokens": 742, "cache_read_tokens": 12177, "total_tokens": 7207}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 18, "state": "ACTIVE", "step_type": "tool", "tool_name": "run_command", "tool_info": {"name": "run_command", "parameters": {"CommandLine": "python3 -c '\nimport json, math\n\nwith open(\"input.json\") as f:\n data = json.load(f)\n\nt1 = data[\"event1\"][\"time_min\"]\nh1 = data[\"event1\"][\"height_m\"]\nt2 = data[\"event2\"][\"time_min\"]\nh2 = data[\"event2\"][\"height_m\"]\nT = t2 - t1\n\ndef F_twelfths(f):\n f = max(0.0, min(1.0, f))\n boundaries = [0, 1/6, 2/6, 3/6, 4/6, 5/6, 1.0]\n cum = [0, 1/12, 3/12, 6/12, 9/12, 11/12, 12/12]\n for k in range(6):\n if f <= boundaries[k+1] or k == 5:\n alpha = (f - boundaries[k]) / (1/6)\n return\u2026"}}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 18, "state": "DONE", "step_type": "tool", "tool_name": "run_command", "duration_seconds": 0.304580111, "tool_info": {"name": "run_command", "parameters": {"CommandLine": "python3 -c '\nimport json, math\n\nwith open(\"input.json\") as f:\n data = json.load(f)\n\nt1 = data[\"event1\"][\"time_min\"]\nh1 = data[\"event1\"][\"height_m\"]\nt2 = data[\"event2\"][\"time_min\"]\nh2 = data[\"event2\"][\"height_m\"]\nT = t2 - t1\n\ndef F_twelfths(f):\n f = max(0.0, min(1.0, f))\n boundaries = [0, 1/6, 2/6, 3/6, 4/6, 5/6, 1.0]\n cum = [0, 1/12, 3/12, 6/12, 9/12, 11/12, 12/12]\n for k in range(6):\n if f <= boundaries[k+1] or k == 5:\n alpha = (f - boundaries[k]) / (1/6)\n return\u2026"}, "output": "Command exited with code 0.\n\nCommand output:\nmax_unrounded: 0.04982427846001514 round(max_unrounded, 3): 0.05\r\nmax_rounded: 0.050000000000000266 round(max_rounded, 3): 0.05\r\n"}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 19, "state": "DONE", "step_type": "agent_response", "duration_seconds": 37.411284834, "usage": {"input_tokens": 3311, "output_tokens": 12459, "thinking_tokens": 11934, "cache_read_tokens": 16239, "total_tokens": 15770}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 20, "state": "ACTIVE", "step_type": "tool", "tool_name": "run_command", "tool_info": {"name": "run_command", "parameters": {"CommandLine": "python3 -c '\nimport json, math\n\nwith open(\"input.json\") as f:\n data = json.load(f)\n\nt1 = data[\"event1\"][\"time_min\"]\nh1 = data[\"event1\"][\"height_m\"]\nt2 = data[\"event2\"][\"time_min\"]\nh2 = data[\"event2\"][\"height_m\"]\nT = t2 - t1\nreq_h = data[\"draft_m\"] + data[\"min_ukc_m\"] - data[\"chart_depth_m\"]\n\ndef F_twelfths(f):\n f = max(0.0, min(1.0, f))\n boundaries = [0, 1/6, 2/6, 3/6, 4/6, 5/6, 1.0]\n cum = [0, 1/12, 3/12, 6/12, 9/12, 11/12, 12/12]\n for k in range(6):\n if f <= boundaries[k+1] or k == 5\u2026"}}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 20, "state": "DONE", "step_type": "tool", "tool_name": "run_command", "duration_seconds": 0.298996557, "tool_info": {"name": "run_command", "parameters": {"CommandLine": "python3 -c '\nimport json, math\n\nwith open(\"input.json\") as f:\n data = json.load(f)\n\nt1 = data[\"event1\"][\"time_min\"]\nh1 = data[\"event1\"][\"height_m\"]\nt2 = data[\"event2\"][\"time_min\"]\nh2 = data[\"event2\"][\"height_m\"]\nT = t2 - t1\nreq_h = data[\"draft_m\"] + data[\"min_ukc_m\"] - data[\"chart_depth_m\"]\n\ndef F_twelfths(f):\n f = max(0.0, min(1.0, f))\n boundaries = [0, 1/6, 2/6, 3/6, 4/6, 5/6, 1.0]\n cum = [0, 1/12, 3/12, 6/12, 9/12, 11/12, 12/12]\n for k in range(6):\n if f <= boundaries[k+1] or k == 5\u2026"}, "output": "Command exited with code 0.\n\nCommand output:\nt=720: req_h=1.54000, htw=1.53066 (diff=-0.00934), hcos=1.52476 (diff=-0.01524)\r\nt=721: req_h=1.54000, htw=1.53926 (diff=-0.00074), hcos=1.53295 (diff=-0.00705)\r\nt=722: req_h=1.54000, htw=1.54787 (diff=0.00787), hcos=1.54118 (diff=0.00118)\r\nt=723: req_h=1.54000, htw=1.55647 (diff=0.01647), hcos=1.54944 (diff=0.00944)\r\n"}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 21, "state": "DONE", "step_type": "agent_response", "duration_seconds": 20.121956325, "usage": {"input_tokens": 16047, "output_tokens": 4665, "thinking_tokens": 4455, "cache_read_tokens": 16291, "total_tokens": 20712}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 22, "state": "ACTIVE", "step_type": "tool", "tool_name": "run_command", "tool_info": {"name": "run_command", "parameters": {"CommandLine": "python3 -c '\nimport random\n\ndiff_count = 0\nfor _ in range(1000000):\n cd = round(random.uniform(0.5, 10.0), 2)\n draft = round(random.uniform(1.0, 5.0), 2)\n h = random.uniform(0.0, 10.0)\n ukc1 = round(cd + h - draft, 3)\n ukc2 = round(cd + round(h, 3) - draft, 3)\n if ukc1 != ukc2:\n diff_count += 1\n\nprint(\"Differences in 1,000,000 trials:\", diff_count)\n'"}}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 22, "state": "DONE", "step_type": "tool", "tool_name": "run_command", "duration_seconds": 2.353996605, "tool_info": {"name": "run_command", "parameters": {"CommandLine": "python3 -c '\nimport random\n\ndiff_count = 0\nfor _ in range(1000000):\n cd = round(random.uniform(0.5, 10.0), 2)\n draft = round(random.uniform(1.0, 5.0), 2)\n h = random.uniform(0.0, 10.0)\n ukc1 = round(cd + h - draft, 3)\n ukc2 = round(cd + round(h, 3) - draft, 3)\n if ukc1 != ukc2:\n diff_count += 1\n\nprint(\"Differences in 1,000,000 trials:\", diff_count)\n'"}, "output": "Command exited with code 0.\n\nCommand output:\nDifferences in 1,000,000 trials: 0\r\n"}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 23, "state": "DONE", "step_type": "agent_response", "duration_seconds": 6.407931132, "usage": {"input_tokens": 8583, "output_tokens": 1286, "thinking_tokens": 535, "cache_read_tokens": 28522, "total_tokens": 9869}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 24, "state": "ACTIVE", "step_type": "tool", "tool_name": "run_command", "tool_info": {"name": "run_command", "parameters": {"CommandLine": "python3 -c '\nimport math\n\ndef F_twelfths(f):\n if f <= 0.0: return 0.0\n if f >= 1.0: return 1.0\n cum = [0.0, 1/12, 3/12, 6/12, 9/12, 11/12, 1.0]\n scaled = f * 6.0\n k = int(scaled)\n if k >= 6: return 1.0\n alpha = scaled - k\n return cum[k] + alpha * (cum[k+1] - cum[k])\n\ndef F_cosine(f):\n if f <= 0.0: return 0.0\n if f >= 1.0: return 1.0\n return (1.0 - math.cos(math.pi * f)) / 2.0\n\ndef solve_window(t1, t2, h1, h2, F, req_h, need_minutes):\n T = t2 - t1\n cur_start = None\n \u2026"}}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 24, "state": "DONE", "step_type": "tool", "tool_name": "run_command", "duration_seconds": 0.274990333, "tool_info": {"name": "run_command", "parameters": {"CommandLine": "python3 -c '\nimport math\n\ndef F_twelfths(f):\n if f <= 0.0: return 0.0\n if f >= 1.0: return 1.0\n cum = [0.0, 1/12, 3/12, 6/12, 9/12, 11/12, 1.0]\n scaled = f * 6.0\n k = int(scaled)\n if k >= 6: return 1.0\n alpha = scaled - k\n return cum[k] + alpha * (cum[k+1] - cum[k])\n\ndef F_cosine(f):\n if f <= 0.0: return 0.0\n if f >= 1.0: return 1.0\n return (1.0 - math.cos(math.pi * f)) / 2.0\n\ndef solve_window(t1, t2, h1, h2, F, req_h, need_minutes):\n T = t2 - t1\n cur_start = None\n \u2026"}, "output": "Command exited with code 0.\n\nCommand output:\nFalling tide test: {'start': 100, 'end': 366}\r\nRising tide test: {'start': 234, 'end': 500}\r\nAlways safe test: {'start': 100, 'end': 500}\r\nNever safe test: None\r\nToo short test: None\r\n"}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 25, "state": "DONE", "step_type": "agent_response", "duration_seconds": 10.440813971, "usage": {"input_tokens": 5956, "output_tokens": 2251, "thinking_tokens": 1198, "cache_read_tokens": 32595, "total_tokens": 8207}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 26, "state": "ACTIVE", "step_type": "tool", "tool_name": "run_command", "tool_info": {"name": "run_command", "parameters": {"CommandLine": "python3 -c '\nimport json, math\n\nwith open(\"input.json\") as f:\n data = json.load(f)\n\nt1 = data[\"event1\"][\"time_min\"]\nh1 = data[\"event1\"][\"height_m\"]\nt2 = data[\"event2\"][\"time_min\"]\nh2 = data[\"event2\"][\"height_m\"]\ncd = data[\"chart_depth_m\"]\ndraft = data[\"draft_m\"]\nmin_ukc = data[\"min_ukc_m\"]\nreq_h = round(draft + min_ukc - cd, 3)\n\ndef F_twelfths(f):\n if f <= 0.0: return 0.0\n if f >= 1.0: return 1.0\n cum = [0.0, 1/12, 3/12, 6/12, 9/12, 11/12, 1.0]\n scaled = f * 6.0\n k = int(scaled)\n if k >\u2026"}}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 26, "state": "DONE", "step_type": "tool", "tool_name": "run_command", "duration_seconds": 0.579622129, "tool_info": {"name": "run_command", "parameters": {"CommandLine": "python3 -c '\nimport json, math\n\nwith open(\"input.json\") as f:\n data = json.load(f)\n\nt1 = data[\"event1\"][\"time_min\"]\nh1 = data[\"event1\"][\"height_m\"]\nt2 = data[\"event2\"][\"time_min\"]\nh2 = data[\"event2\"][\"height_m\"]\ncd = data[\"chart_depth_m\"]\ndraft = data[\"draft_m\"]\nmin_ukc = data[\"min_ukc_m\"]\nreq_h = round(draft + min_ukc - cd, 3)\n\ndef F_twelfths(f):\n if f <= 0.0: return 0.0\n if f >= 1.0: return 1.0\n cum = [0.0, 1/12, 3/12, 6/12, 9/12, 11/12, 1.0]\n scaled = f * 6.0\n k = int(scaled)\n if k >\u2026"}, "output": "Command exited with code 1.\n\nThere were sandbox errors that may or may not be related to the failure. If you think the failure is because of running in the sandbox, you can run the command again with `BypassSandbox` set to true to request explicit user permission.\n\nCommand output:\nTraceback (most recent call last):\r\n File \"<string>\", line 69, in <module>\r\n with open(\"test.svg\", \"w\") as f:\r\n ~~~~^^^^^^^^^^^^^^^^^\r\nOSError: [Errno 30] Read-only file system: 'test.svg'\r\n"}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 27, "state": "DONE", "step_type": "agent_response", "duration_seconds": 4.465908553, "usage": {"input_tokens": 4334, "output_tokens": 93, "thinking_tokens": 53, "cache_read_tokens": 36672, "total_tokens": 4427}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 28, "state": "ACTIVE", "step_type": "tool", "tool_name": "run_command", "tool_info": {"name": "run_command", "parameters": {"CommandLine": "pwd && ls -ld ."}}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 28, "state": "DONE", "step_type": "tool", "tool_name": "run_command", "duration_seconds": 0.298875205, "tool_info": {"name": "run_command", "parameters": {"CommandLine": "pwd && ls -ld ."}, "output": "Command exited with code 0.\n\nCommand output:\n/home/bob/usecase-runs/agy-batch/out/gemini-3.8-flash-medium/k05/work\r\ndrwxr-xr-x 2 bob bob 4096 Oct 22 10:28 .\r\n"}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 29, "state": "DONE", "step_type": "agent_response", "duration_seconds": 5.84484844, "usage": {"input_tokens": 4580, "output_tokens": 232, "thinking_tokens": 173, "cache_read_tokens": 36664, "total_tokens": 4812}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 30, "state": "ACTIVE", "step_type": "tool", "tool_name": "write_file", "tool_info": {"name": "write_file", "parameters": {"Path": "/home/bob/usecase-runs/agy-batch/out/gemini-3.8-flash-medium/k05/work/test.txt"}}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 30, "state": "DONE", "step_type": "tool", "tool_name": "write_file", "duration_seconds": 0.034395531, "tool_info": {"name": "write_file", "parameters": {"Path": "/home/bob/usecase-runs/agy-batch/out/gemini-3.8-flash-medium/k05/work/test.txt"}}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 31, "state": "DONE", "step_type": "agent_response", "duration_seconds": 4.684162924, "usage": {"input_tokens": 4895, "output_tokens": 83, "thinking_tokens": 45, "cache_read_tokens": 36657, "total_tokens": 4978}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 32, "state": "ACTIVE", "step_type": "tool", "tool_name": "run_command", "tool_info": {"name": "run_command", "parameters": {"CommandLine": "touch /tmp/foo"}}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 32, "state": "DONE", "step_type": "tool", "tool_name": "run_command", "duration_seconds": 0.371200789, "tool_info": {"name": "run_command", "parameters": {"CommandLine": "touch /tmp/foo"}, "output": "Command exited with code 0.\n\nNo output from the command."}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 33, "state": "DONE", "step_type": "agent_response", "duration_seconds": 3.663680819, "usage": {"input_tokens": 5073, "output_tokens": 58, "thinking_tokens": 19, "cache_read_tokens": 36649, "total_tokens": 5131}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 34, "state": "ACTIVE", "step_type": "tool", "tool_name": "run_command", "tool_info": {"name": "run_command", "parameters": {"CommandLine": "touch test.txt"}}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 34, "state": "DONE", "step_type": "tool", "tool_name": "run_command", "duration_seconds": 0.265282644, "tool_info": {"name": "run_command", "parameters": {"CommandLine": "touch test.txt"}, "output": "Command exited with code 1.\n\nCommand output:\ntouch: setting times of 'test.txt': Read-only file system\r\n"}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 35, "state": "DONE", "step_type": "agent_response", "duration_seconds": 3.8684881620000002, "usage": {"input_tokens": 5240, "output_tokens": 240, "thinking_tokens": 195, "cache_read_tokens": 36641, "total_tokens": 5480}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 36, "state": "ACTIVE", "step_type": "tool", "tool_name": "run_command", "tool_info": {"name": "run_command", "parameters": {"CommandLine": "touch test.txt"}}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 36, "state": "DONE", "step_type": "tool", "tool_name": "run_command", "duration_seconds": 0.046124529, "tool_info": {"name": "run_command", "parameters": {"CommandLine": "touch test.txt"}, "output": "Command exited with code 0.\n\nNo output from the command."}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 37, "state": "DONE", "step_type": "agent_response", "duration_seconds": 5.901730212, "usage": {"input_tokens": 5574, "output_tokens": 67, "thinking_tokens": 22, "cache_read_tokens": 36634, "total_tokens": 5641}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 38, "state": "ACTIVE", "step_type": "tool", "tool_name": "run_command", "tool_info": {"name": "run_command", "parameters": {"CommandLine": "rm test.txt"}}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 38, "state": "DONE", "step_type": "tool", "tool_name": "run_command", "duration_seconds": 0.047651489, "tool_info": {"name": "run_command", "parameters": {"CommandLine": "rm test.txt"}, "output": "Command exited with code 0.\n\nNo output from the command."}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 39, "state": "DONE", "step_type": "agent_response", "duration_seconds": 19.035966509, "usage": {"input_tokens": 5735, "output_tokens": 6755, "thinking_tokens": 3254, "cache_read_tokens": 36627, "total_tokens": 12490}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 40, "state": "ACTIVE", "step_type": "tool", "tool_name": "write_file", "tool_info": {"name": "write_file", "parameters": {"Path": "/home/bob/usecase-runs/agy-batch/out/gemini-3.8-flash-medium/k05/work/solve.py"}}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 40, "state": "DONE", "step_type": "tool", "tool_name": "write_file", "duration_seconds": 0.053766502, "tool_info": {"name": "write_file", "parameters": {"Path": "/home/bob/usecase-runs/agy-batch/out/gemini-3.8-flash-medium/k05/work/solve.py"}}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 41, "state": "DONE", "step_type": "agent_response", "duration_seconds": 3.275460333, "usage": {"input_tokens": 8469, "output_tokens": 130, "thinking_tokens": 84, "cache_read_tokens": 40724, "total_tokens": 8599}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 42, "state": "ACTIVE", "step_type": "tool", "tool_name": "run_command", "tool_info": {"name": "run_command", "parameters": {"CommandLine": "python3 solve.py input.json answer.json"}}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 42, "state": "DONE", "step_type": "tool", "tool_name": "run_command", "duration_seconds": 0.377430548, "tool_info": {"name": "run_command", "parameters": {"CommandLine": "python3 solve.py input.json answer.json"}, "output": "Command exited with code 1.\n\nThere were sandbox errors that may or may not be related to the failure. If you think the failure is because of running in the sandbox, you can run the command again with `BypassSandbox` set to true to request explicit user permission.\n\nCommand output:\nTraceback (most recent call last):\r\n File \"/home/bob/usecase-runs/agy-batch/out/gemini-3.8-flash-medium/k05/work/solve.py\", line 248, in <module>\r\n main()\r\n ~~~~^^\r\n File \"/home/bob/usecase-runs/agy-batch/out/gemini-3.8-flash-medium/k05/work/solve.py\", line 230, in main\r\n with open(answer_path, \"w\", encoding=\"utf-8\") as f:\r\n ~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\r\nOSError: [Errno 30] Read-only file system: 'answer.json'\r\n"}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 43, "state": "DONE", "step_type": "agent_response", "duration_seconds": 4.236585476, "usage": {"input_tokens": 4838, "output_tokens": 89, "thinking_tokens": 37, "cache_read_tokens": 44790, "total_tokens": 4927}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 44, "state": "ACTIVE", "step_type": "tool", "tool_name": "run_command", "tool_info": {"name": "run_command", "parameters": {"CommandLine": "python3 solve.py input.json answer.json"}}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 44, "state": "DONE", "step_type": "tool", "tool_name": "run_command", "duration_seconds": 0.464335887, "tool_info": {"name": "run_command", "parameters": {"CommandLine": "python3 solve.py input.json answer.json"}, "output": "Command exited with code 0.\n\nNo output from the command."}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 45, "state": "DONE", "step_type": "agent_response", "duration_seconds": 4.035932048, "usage": {"input_tokens": 5022, "output_tokens": 70, "thinking_tokens": 19, "cache_read_tokens": 44782, "total_tokens": 5092}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 46, "state": "ACTIVE", "step_type": "tool", "tool_name": "read_file", "tool_info": {"name": "read_file", "parameters": {"Path": "/home/bob/usecase-runs/agy-batch/out/gemini-3.8-flash-medium/k05/work/answer.json"}}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 46, "state": "DONE", "step_type": "tool", "tool_name": "read_file", "duration_seconds": 0.046373887, "tool_info": {"name": "read_file", "parameters": {"Path": "/home/bob/usecase-runs/agy-batch/out/gemini-3.8-flash-medium/k05/work/answer.json"}, "output": "84 lines, 1148 bytes"}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 47, "state": "DONE", "step_type": "agent_response", "duration_seconds": 2.610439617, "usage": {"input_tokens": 2066, "output_tokens": 203, "thinking_tokens": 140, "cache_read_tokens": 48850, "total_tokens": 2269}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 48, "state": "ACTIVE", "step_type": "tool", "tool_name": "read_file", "tool_info": {"name": "read_file", "parameters": {"EndLine": 50, "Path": "/home/bob/usecase-runs/agy-batch/out/gemini-3.8-flash-medium/k05/work/tide.svg", "StartLine": 1}}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 48, "state": "DONE", "step_type": "tool", "tool_name": "read_file", "duration_seconds": 0.044359872, "tool_info": {"name": "read_file", "parameters": {"EndLine": 50, "Path": "/home/bob/usecase-runs/agy-batch/out/gemini-3.8-flash-medium/k05/work/tide.svg", "StartLine": 1}, "output": "35 lines, 12909 bytes"}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 49, "state": "DONE", "step_type": "agent_response", "duration_seconds": 3.215410726, "usage": {"input_tokens": 13607, "output_tokens": 563, "thinking_tokens": 206, "cache_read_tokens": 48898, "total_tokens": 14170}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 50, "state": "ACTIVE", "step_type": "tool", "tool_name": "run_command", "tool_info": {"name": "run_command", "parameters": {"CommandLine": "python3 -c '\nimport xml.etree.ElementTree as ET\n\ntree = ET.parse(\"tide.svg\")\nroot = tree.getroot()\nprint(\"Root tag:\", root.tag)\n\n# Check elements\ntw = root.find(\".//*[@id=\\\"tide-twelfths\\\"]\")\ncos = root.find(\".//*[@id=\\\"tide-cosine\\\"]\")\nmdl = root.find(\".//*[@id=\\\"min-depth-line\\\"]\")\n\nprint(\"tide-twelfths tag:\", tw.tag if tw is not None else None)\nprint(\"tide-cosine tag:\", cos.tag if cos is not None else None)\nprint(\"min-depth-line tag:\", mdl.tag if mdl is not None else None)\nprint(\"min-depth-line y1, y2:\",\u2026"}}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 50, "state": "DONE", "step_type": "tool", "tool_name": "run_command", "duration_seconds": 0.296969561, "tool_info": {"name": "run_command", "parameters": {"CommandLine": "python3 -c '\nimport xml.etree.ElementTree as ET\n\ntree = ET.parse(\"tide.svg\")\nroot = tree.getroot()\nprint(\"Root tag:\", root.tag)\n\n# Check elements\ntw = root.find(\".//*[@id=\\\"tide-twelfths\\\"]\")\ncos = root.find(\".//*[@id=\\\"tide-cosine\\\"]\")\nmdl = root.find(\".//*[@id=\\\"min-depth-line\\\"]\")\n\nprint(\"tide-twelfths tag:\", tw.tag if tw is not None else None)\nprint(\"tide-cosine tag:\", cos.tag if cos is not None else None)\nprint(\"min-depth-line tag:\", mdl.tag if mdl is not None else None)\nprint(\"min-depth-line y1, y2:\",\u2026"}, "output": "Command exited with code 0.\n\nCommand output:\nRoot tag: {http://www.w3.org/2000/svg}svg\r\ntide-twelfths tag: {http://www.w3.org/2000/svg}polyline\r\ntide-cosine tag: {http://www.w3.org/2000/svg}polyline\r\nmin-depth-line tag: {http://www.w3.org/2000/svg}line\r\nmin-depth-line y1, y2: 305.77 305.77\r\nValidation passed!\r\n"}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 51, "state": "DONE", "step_type": "agent_response", "duration_seconds": 2.668882612, "usage": {"input_tokens": 2166, "output_tokens": 105, "thinking_tokens": 56, "cache_read_tokens": 61117, "total_tokens": 2271}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 52, "state": "ACTIVE", "step_type": "tool", "tool_name": "read_file", "tool_info": {"name": "read_file", "parameters": {"Path": "/home/bob/usecase-runs/agy-batch/out/gemini-3.8-flash-medium/k05/meta.txt"}}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 52, "state": "DONE", "step_type": "tool", "tool_name": "read_file", "duration_seconds": 0.41076217, "tool_info": {"name": "read_file", "parameters": {"Path": "/home/bob/usecase-runs/agy-batch/out/gemini-3.8-flash-medium/k05/meta.txt"}, "output": "3 lines, 103 bytes"}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 53, "state": "DONE", "step_type": "agent_response", "duration_seconds": 5.624392369, "usage": {"input_tokens": 2440, "output_tokens": 1035, "thinking_tokens": 233, "cache_read_tokens": 61109, "total_tokens": 3475}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 54, "state": "ACTIVE", "step_type": "tool", "tool_name": "run_command", "tool_info": {"name": "run_command", "parameters": {"CommandLine": "python3 -c '\nimport json, math, subprocess, os, tempfile\n\ndef test_case(name, data):\n with tempfile.NamedTemporaryFile(\"w\", suffix=\".json\", delete=False) as f_in:\n json.dump(data, f_in)\n in_path = f_in.name\n with tempfile.NamedTemporaryFile(\"w\", suffix=\".json\", delete=False) as f_out:\n out_path = f_out.name\n \n try:\n # Run solve.py\n res = subprocess.run([\"python3\", \"solve.py\", in_path, out_path], capture_output=True, text=True)\n if res.returncode != 0:\n \u2026"}}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 54, "state": "DONE", "step_type": "tool", "tool_name": "run_command", "duration_seconds": 0.64125387, "tool_info": {"name": "run_command", "parameters": {"CommandLine": "python3 -c '\nimport json, math, subprocess, os, tempfile\n\ndef test_case(name, data):\n with tempfile.NamedTemporaryFile(\"w\", suffix=\".json\", delete=False) as f_in:\n json.dump(data, f_in)\n in_path = f_in.name\n with tempfile.NamedTemporaryFile(\"w\", suffix=\".json\", delete=False) as f_out:\n out_path = f_out.name\n \n try:\n # Run solve.py\n res = subprocess.run([\"python3\", \"solve.py\", in_path, out_path], capture_output=True, text=True)\n if res.returncode != 0:\n \u2026"}, "output": "Command exited with code 0.\n\nCommand output:\nFAILED Falling tide: returncode 1\r\nTraceback (most recent call last):\r\n File \"/home/bob/usecase-runs/agy-batch/out/gemini-3.8-flash-medium/k05/work/solve.py\", line 248, in <module>\r\n main()\r\n ~~~~^^\r\n File \"/home/bob/usecase-runs/agy-batch/out/gemini-3.8-flash-medium/k05/work/solve.py\", line 237, in main\r\n with open(\"tide.svg\", \"w\", encoding=\"utf-8\") as f:\r\n ~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\r\nOSError: [Errno 30] Read-only file system: 'tide.svg'\r\n\r\nFAILED Never safe: returncode 1\r\nTraceback (most recent call last):\r\n File \"/home/bob/usecase-runs/agy-batch/out/gemini-3.8-flash-medium/k05/work/solve.py\", line 248, in <module>\r\n main()\r\n ~~~~^^\r\n File \"/home/bob/usecase-runs/agy-batch/out/gemini-3.8-flash-medium/k05/work/solve.py\", line 237, in main\r\n with open(\"tide.svg\", \"w\", encoding=\"utf-8\") as f:\r\n ~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\r\nOSError: [Errno 30] Read-only file system: 'tide.svg'\r\n\r\nFAILED Too short window: returncode 1\r\nTraceback (most recent call last):\r\n File \"/home/bob/usecase-runs/agy-batch/out/gemini-3.8-flash-medium/k05/work/solve.py\", line 248, in <module>\r\n main()\r\n ~~~~^^\r\n File \"/home/bob/usecase-runs/agy-batch/out/gemini-3.8-flash-medium/k05/work/solve.py\", line 237, in main\r\n with open(\"tide.svg\", \"w\", encoding=\"utf-8\") as f:\r\n ~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^\r\nOSError: [Errno 30] Read-only file system: 'tide.svg'\r\n\r\n"}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 55, "state": "DONE", "step_type": "agent_response", "duration_seconds": 5.436798728, "usage": {"input_tokens": 4108, "output_tokens": 1269, "thinking_tokens": 741, "cache_read_tokens": 61108, "total_tokens": 5377}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 56, "state": "ACTIVE", "step_type": "tool", "tool_name": "edit_file", "tool_info": {"name": "edit_file", "parameters": {"Path": "/home/bob/usecase-runs/agy-batch/out/gemini-3.8-flash-medium/k05/work/solve.py"}}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 56, "state": "DONE", "step_type": "tool", "tool_name": "edit_file", "duration_seconds": 0.095440469, "tool_info": {"name": "edit_file", "parameters": {"Path": "/home/bob/usecase-runs/agy-batch/out/gemini-3.8-flash-medium/k05/work/solve.py"}}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 57, "state": "DONE", "step_type": "agent_response", "duration_seconds": 6.02189196, "usage": {"input_tokens": 5507, "output_tokens": 815, "thinking_tokens": 13, "cache_read_tokens": 61106, "total_tokens": 6322}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 58, "state": "ACTIVE", "step_type": "tool", "tool_name": "run_command", "tool_info": {"name": "run_command", "parameters": {"CommandLine": "python3 -c '\nimport json, math, subprocess, os, tempfile\n\ndef test_case(name, data):\n with tempfile.NamedTemporaryFile(\"w\", suffix=\".json\", delete=False) as f_in:\n json.dump(data, f_in)\n in_path = f_in.name\n with tempfile.NamedTemporaryFile(\"w\", suffix=\".json\", delete=False) as f_out:\n out_path = f_out.name\n \n try:\n # Run solve.py\n res = subprocess.run([\"python3\", \"solve.py\", in_path, out_path], capture_output=True, text=True)\n if res.returncode != 0:\n \u2026"}}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 58, "state": "DONE", "step_type": "tool", "tool_name": "run_command", "duration_seconds": 0.48406088, "tool_info": {"name": "run_command", "parameters": {"CommandLine": "python3 -c '\nimport json, math, subprocess, os, tempfile\n\ndef test_case(name, data):\n with tempfile.NamedTemporaryFile(\"w\", suffix=\".json\", delete=False) as f_in:\n json.dump(data, f_in)\n in_path = f_in.name\n with tempfile.NamedTemporaryFile(\"w\", suffix=\".json\", delete=False) as f_out:\n out_path = f_out.name\n \n try:\n # Run solve.py\n res = subprocess.run([\"python3\", \"solve.py\", in_path, out_path], capture_output=True, text=True)\n if res.returncode != 0:\n \u2026"}, "output": "Command exited with code 0.\n\nCommand output:\nPASSED Falling tide:\r\n req_h: 2.0\r\n window_tw: {'start': 100, 'end': 283}\r\n window_cos: {'start': 100, 'end': 282}\r\n max_diff: 0.077\r\nPASSED Never safe:\r\n req_h: 2.5\r\n window_tw: None\r\n window_cos: None\r\n max_diff: 0.013\r\nPASSED Too short window:\r\n req_h: 2.9\r\n window_tw: None\r\n window_cos: None\r\n max_diff: 0.051\r\n"}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 59, "state": "DONE", "step_type": "agent_response", "duration_seconds": 4.231334814, "usage": {"input_tokens": 2495, "output_tokens": 233, "thinking_tokens": 181, "cache_read_tokens": 65175, "total_tokens": 2728}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 60, "state": "ACTIVE", "step_type": "tool", "tool_name": "run_command", "tool_info": {"name": "run_command", "parameters": {"CommandLine": "python3 solve.py input.json answer.json"}}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 60, "state": "DONE", "step_type": "tool", "tool_name": "run_command", "duration_seconds": 0.158794197, "tool_info": {"name": "run_command", "parameters": {"CommandLine": "python3 solve.py input.json answer.json"}, "output": "Command exited with code 0.\n\nNo output from the command."}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 61, "state": "DONE", "step_type": "agent_response", "duration_seconds": 4.080721256, "usage": {"input_tokens": 2823, "output_tokens": 62, "thinking_tokens": 25, "cache_read_tokens": 65167, "total_tokens": 2885}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 62, "state": "ACTIVE", "step_type": "tool", "tool_name": "run_command", "tool_info": {"name": "run_command", "parameters": {"CommandLine": "ls -la"}}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 62, "state": "DONE", "step_type": "tool", "tool_name": "run_command", "duration_seconds": 0.281398862, "tool_info": {"name": "run_command", "parameters": {"CommandLine": "ls -la"}, "output": "Command exited with code 0.\n\nCommand output:\ntotal 48\r\ndrwxr-xr-x 2 bob bob 4096 Oct 22 10:36 .\r\ndrwxrwxr-x 3 bob bob 4096 Oct 22 10:33 ..\r\n-rw-r--r-- 1 bob bob 2165 Oct 22 10:28 TASK.md\r\n-rw-rw-r-- 1 bob bob 1148 Oct 22 10:37 answer.json\r\n-rw-r--r-- 1 bob bob 281 Oct 22 10:28 input.json\r\n-rw-r--r-- 1 bob bob 8800 Oct 22 10:36 solve.py\r\n-rw-rw-r-- 1 bob bob 12909 Oct 22 10:37 tide.svg\r\n"}}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "`solve.py"}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "` has been implemented using only th"}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "e Python 3 standard libr"}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "ary to compute tide heights and under-keel clearance (UKC) u"}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "sing both th"}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "e Rule of Twelfths and the Cosine method.\n\n### S"}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "ummary of Im"}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "plementation\n\n1. **Heigh"}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "t & Clearance Modeling**:\n - **Twe"}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "lfths**: Normalized time $f \\in [0, "}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "1]$ split into 6 equal parts with cu"}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "mulative twelfths $[0, 1, 3, 6, 9, 1"}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "1, 12] / 12$ and linear "}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "interpolatio"}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "n within each interval.\n"}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": " - **Cosine**: $F(f) = (1 - \\cos(\\pi f)) / 2$."}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "\n - **UKC "}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "& Safety**: $\\text{UKC} "}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "= \\text{chart\\_depth} + "}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "\\text{height}(\\text{twelfths}) - \\te"}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "xt{draft}$; safe when $\\text{UKC} \\g"}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "e \\text{min\\_ukc} - 10^{"}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "-9}$.\n - **Required Height**: $\\text{draft} + "}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "\\text{min\\_ukc} - \\text{chart\\_depth"}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "}$.\n - **Safe Windows*"}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "*: Scans who"}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "le minutes $t \\in [t_1, "}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "t_2]$ inclusive, finding the first consecutive run where $\\t"}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "ext{height} "}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "\\ge \\text{required\\_heig"}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "ht} - 10^{-9}$ and $(\\text{end} - \\t"}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "ext{start}) \\ge \\text{ne"}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "ed\\_minutes} - 10^{-9}$.\n - **Method Differenc"}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "e**: Evaluat"}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "es $\\max |h_{\\text{twelf"}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "ths}}(t) - h_{\\text{cosine}}(t)|$ ac"}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "ross all whole minutes in the range.\n\n2. **Visua"}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "l Output (`tide.svg`)**:"}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "\n - Static"}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": ", self-contained SVG adhering to all grading cri"}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "teria (no sc"}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "ripts, links, images, or"}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": " external resources).\n - Contains `<polyline i"}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "d=\"tide-twel"}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "fths\">`, `<polyline id=\"tide-cosine\">`, and `<li"}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "ACTIVE", "step_type": "agent_response", "text_delta": "ne id=\"min-depth-line\">` positioned "}}
{"event": "step_update", "step_update": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "step_index": 63, "state": "DONE", "step_type": "agent_response", "text_delta": "at the required height.\n\n3. **Output Files**:\n - Running `python3 solve.py input.json answer.json` produces `answer.json` and `tide.svg`.\n", "duration_seconds": 5.678479018, "usage": {"input_tokens": 3185, "output_tokens": 849, "thinking_tokens": 364, "cache_read_tokens": 65160, "total_tokens": 4034}}}
{"event": "result", "result": {"conversation_id": "b6a3f171-20f8-41bc-9737-76349eec0504", "status": "SUCCESS", "response": "`solve.py` has been implemented using only the Python 3 standard library to compute tide heights and under-keel clearance (UKC) using both the Rule of Twelfths and the Cosine method.\n\n### Summary of Implementation\n\n1. **Height & Clearance Modeling**:\n - **Twelfths**: Normalized time $f \\in [0, 1]$ split into 6 equal parts with cumulative twelfths $[0, 1, 3, 6, 9, 11, 12] / 12$ and linear interpolation within each interval.\n - **Cosine**: $F(f) = (1 - \\cos(\\pi f)) / 2$.\n - **UKC & Safety**: $\\text{UKC} = \\text{chart\\_depth} + \\text{height}(\\text{twelfths}) - \\text{draft}$; safe when $\\text{UKC} \\ge \\text{min\\_ukc} - 10^{-9}$.\n - **Required Height**: $\\text{draft} + \\text{min\\_ukc} - \\text{chart\\_depth}$.\n - **Safe Windows**: Scans whole minutes $t \\in [t_1, t_2]$ inclusive, finding the first consecutive run where $\\text{height} \\ge \\text{required\\_height} - 10^{-9}$ and $(\\text{end} - \\text{start}) \\ge \\text{need\\_minutes} - 10^{-9}$.\n - **Method Difference**: Evaluates $\\max |h_{\\text{twelfths}}(t) - h_{\\text{cosine}}(t)|$ across all whole minutes in the range.\n\n2. **Visual Output (`tide.svg`)**:\n - Static, self-contained SVG adhering to all grading criteria (no scripts, links, images, or external resources).\n - Contains `<polyline id=\"tide-twelfths\">`, `<polyline id=\"tide-cosine\">`, and `<line id=\"min-depth-line\">` positioned at the required height.\n\n3. **Output Files**:\n - Running `python3 solve.py input.json answer.json` produces `answer.json` and `tide.svg`.\n", "duration_seconds": 227.11832493, "num_turns": 1, "usage": {"input_tokens": 203460, "output_tokens": 41997, "thinking_tokens": 29989, "cache_read_tokens": 1050623, "total_tokens": 245457}}}