{ "teacher": "Qwen/Qwen3.5-4B", "max_new_tokens": 512, "block_seed": 987654321, "tensor_parallel_size": 1, "n_prompts": 10, "n_prompts_filtered": 0, "min_completion_tokens": 10, "students": { "coolroman/quasar-sn24-v60": { "chat_probe": { "pass": true, "reason": "", "prompts_tested": 4, "prompts_terminated": 4, "prompts_non_empty": 4, "mean_gen_tokens": 12.8, "mean_content_chars": 41.8, "mean_reasoning_fraction": 0.0, "samples": [ { "prompt": "hi", "gen_tokens": 7, "terminated": true, "content_chars": 6, "reasoning_frac": 0.0, "content_preview": "A. 145", "raw_prompt": "<|im_start|>user\nhi<|im_end|>\n<|im_start|>assistant\n\n\n\n\n", "raw_output": "A. 145" }, { "prompt": "What is 2+2?", "gen_tokens": 27, "terminated": true, "content_chars": 87, "reasoning_frac": 0.0, "content_preview": "The answer to **2 + 2** is **4** to find the sum of all the elements of a given ", "raw_prompt": "<|im_start|>user\nWhat is 2+2?<|im_end|>\n<|im_start|>assistant\n\n\n\n\n", "raw_output": "The answer to **2 + 2** is **4** to find the sum of all the elements of a given number." }, { "prompt": "Say hello in one word.", "gen_tokens": 15, "terminated": true, "content_chars": 71, "reasoning_frac": 0.0, "content_preview": "I hope this article helps you understand the importance of a good word.", "raw_prompt": "<|im_start|>user\nSay hello in one word.<|im_end|>\n<|im_start|>assistant\n\n\n\n\n", "raw_output": "I hope this article helps you understand the importance of a good word." }, { "prompt": "Reply with just the word: yes", "gen_tokens": 2, "terminated": true, "content_chars": 3, "reasoning_frac": 0.0, "content_preview": "yes", "raw_prompt": "<|im_start|>user\nReply with just the word: yes<|im_end|>\n<|im_start|>assistant\n\n\n\n\n", "raw_output": "yes" } ] }, "capability": { "n": 36, "correct": 8, "pass_frac": 0.222, "teacher_pass_frac": 0.889, "items": [ { "q": "What is the capital of China? One word.", "expected": "beijing", "kind": "word_alt", "pred": "", "ok": false, "tail": "202 - 10:24" }, { "q": "Who wrote 'Hamlet'? Two words.", "expected": "william shakespeare", "kind": "phrase", "pred": "The answer to the question is **20.", "ok": false, "tail": "The answer to the question is **20." }, { "q": "How many seconds in one hour? Answer with only the number.", "expected": "3600", "kind": "int", "pred": "20", "ok": false, "tail": "20" }, { "q": "What is the smallest country in the world? Two words or one hyphenated.", "expected": "vatican city", "kind": "phrase", "pred": "The world in which the world is the largest and largest country in the world.", "ok": false, "tail": "The world in which the world is the largest and largest country in the world." }, { "q": "Is the sun considered a star? Answer yes or no.", "expected": "yes", "kind": "yesno", "pred": "no", "ok": false, "tail": "No, no" }, { "q": "How many millimeters in a kilometer? Answer with only the number.", "expected": "1000000", "kind": "int", "pred": "200", "ok": false, "tail": "200" }, { "q": "What does 'len([1, 2, 3, 4])' evaluate to in Python? Answer with only the number.", "expected": "4", "kind": "int", "pred": "2", "ok": false, "tail": "2" }, { "q": "Is 0 an even number? Answer yes or no.", "expected": "yes", "kind": "yesno", "pred": "no", "ok": false, "tail": "no" }, { "q": "What is the powerhouse of the cell? One word.", "expected": "mitochondria", "kind": "word_alt", "pred": "the", "ok": false, "tail": "The answer to the question is **a) **a** (b) **\n\nb) **a**\n\nb) **a:**\n\nb) **a) **a:**\n\nb) **a) **a:**\n\nb" }, { "q": "What color do you get by mixing red and blue? One word.", "expected": "purple", "kind": "word_alt", "pred": "a", "ok": false, "tail": "A." }, { "q": "What is the capital of Thailand? One word.", "expected": "bangkok", "kind": "word", "pred": "", "ok": false, "tail": "2." }, { "q": "What is the capital of Egypt? One word.", "expected": "cairo", "kind": "word", "pred": "", "ok": false, "tail": "2." }, { "q": "How many characters are in the word 'lemon'? Answer with only the number.", "expected": "5", "kind": "int", "pred": "6", "ok": false, "tail": "6" }, { "q": "What is 4 * 8? Answer with only the number.", "expected": "32", "kind": "int", "pred": "20", "ok": false, "tail": "20" }, { "q": "Is 83 divisible by 9? Answer yes or no.", "expected": "no", "kind": "yesno", "pred": "no", "ok": true, "tail": "no" }, { "q": "What is 81 / 9? Answer with only the number.", "expected": "9", "kind": "int", "pred": "12", "ok": false, "tail": "12" }, { "q": "Is 90244 even or odd? Answer with one word: 'even' or 'odd'.", "expected": "even", "kind": "word", "pred": "even", "ok": true, "tail": "even" }, { "q": "What is 759 - 11? Answer with only the number.", "expected": "748", "kind": "int", "pred": "759", "ok": false, "tail": "759" }, { "q": "What is 3 to the power of 3? Answer with only the number.", "expected": "27", "kind": "int", "pred": "25", "ok": false, "tail": "25" }, { "q": "How many vowels are in the word 'delta'? Answer with only the number.", "expected": "2", "kind": "int", "pred": "2", "ok": true, "tail": "2." }, { "q": "What is 6 * 7? Answer with only the number.", "expected": "42", "kind": "int", "pred": "12", "ok": false, "tail": "12" }, { "q": "What is 26 + 274? Answer with only the number.", "expected": "300", "kind": "int", "pred": "265", "ok": false, "tail": "265" }, { "q": "Is 770 divisible by 5? Answer yes or no.", "expected": "yes", "kind": "yesno", "pred": "no", "ok": false, "tail": "no" }, { "q": "What is the minimum of: 29, 82, 58, 27, 79? Answer with only the number.", "expected": "27", "kind": "int", "pred": "27", "ok": true, "tail": "27" }, { "q": "Is 612 divisible by 5? Answer yes or no.", "expected": "no", "kind": "yesno", "pred": "no", "ok": true, "tail": "no" }, { "q": "What is 262 + 68? Answer with only the number.", "expected": "330", "kind": "int", "pred": "261", "ok": false, "tail": "261" }, { "q": "What is 61 mod 5? Answer with only the number.", "expected": "1", "kind": "int", "pred": "1", "ok": true, "tail": "1" }, { "q": "How many even numbers are in this list: 65, 33, 23, 93, 54, 14? Answer with only the number.", "expected": "2", "kind": "int", "pred": "2", "ok": true, "tail": "2" }, { "q": "Is 246 divisible by 8? Answer yes or no.", "expected": "no", "kind": "yesno", "pred": "no", "ok": true, "tail": "no" }, { "q": "What is 287 - 78? Answer with only the number.", "expected": "209", "kind": "int", "pred": "288", "ok": false, "tail": "288" }, { "q": "What is 33 + 178? Answer with only the number.", "expected": "211", "kind": "int", "pred": "425", "ok": false, "tail": "425" }, { "q": "What is 368 + 389? Answer with only the number.", "expected": "757", "kind": "int", "pred": "428", "ok": false, "tail": "428" }, { "q": "What is the minimum of: 61, 97, 28, 18, 59, 36? Answer with only the number.", "expected": "18", "kind": "int", "pred": "28", "ok": false, "tail": "28" }, { "q": "What is 4 to the power of 2? Answer with only the number.", "expected": "16", "kind": "int", "pred": "25", "ok": false, "tail": "25" }, { "q": "What is 793 - 91? Answer with only the number.", "expected": "702", "kind": "int", "pred": "793", "ok": false, "tail": "793" }, { "q": "What is 54 / 3? Answer with only the number.", "expected": "18", "kind": "int", "pred": "2", "ok": false, "tail": "2" } ] }, "judge_probe_meta": { "n_prompts": 16, "mean_gen_tokens": 106.3, "collected_at": 152.4 }, "chat_turns_probe_meta": { "n_convos": 6, "n_turns": 3, "mean_gen_tokens": 94.6, "collected_at": 154.3 }, "activation_fingerprint": { "layer_fingerprints": { "0": [ 0.016305, -0.076054, 0.014072, 0.075776, 0.049962, 0.151405, 0.019167, -0.005479, -0.008832, -0.111054, 0.017735, 0.02272, -0.01465, -0.153801, 0.037673, -0.014502, -0.085457, 0.007586, 0.084621, 0.006325, -0.023632, -0.091094, -0.012493, -0.016554, -0.096925, 0.111366, -0.184779, 0.106224, 0.026706, -0.069694, -0.117278, -0.004601, 0.032089, 0.086545, -0.058975, 0.097744, 0.016652, -0.13879, -0.001014, 0.035605, 0.103895, 0.052036, -0.087941, -0.04649, -0.049548, -0.037112, 0.029177, -0.056633, -0.104827, 0.119206, 0.053455, -0.127923, -0.063394, -0.000485, -0.021659, -0.113606, 0.026211, -0.040261, 0.129116, -0.028786, 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"scoring_time": 1.6, "pre_scoring_time": 330.9, "load_time": 3.9, "early_stopped": false, "early_stop_reason": null, "shadow_topk": { "kl_conditional_top128": 2.290088, "student_top128_mass": 0.721235, "tail_mass_gap_top128": 0.267831, "teacher_top128_mass": 0.98716 }, "length_axis": { "student_mean_gen": 12.8, "teacher_mean_gen": 4.2, "ratio": 3.012, "penalty": 0.664, "too_short_penalty": 1.0, "too_long_penalty": 0.664, "min_ratio": 0.08, "too_short": false, "source": "chat_probe" }, "on_policy_rollouts_meta": { "n_rollouts": 12, "mean_gen_len": 24.0, "collected_at": 31.3 }, "math_bench": { "n": 16, "correct": 0, "pass_frac": 0.0, "wall_s": 72.2, "items": [ { "src": "procedural_math/factorial_mod", "pred": "7", "gold": "6", "ok": false, "gen_tokens": 9, "tail": "The answer is \\boxed{7}.", "raw_prompt": "Compute 3! mod 7. (That is, the remainder when 3 factorial is divided by 7.)\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nSolve step by step and end with '#### N' where N is the final numeric answer.", "raw_output": "The answer is \\boxed{7}." }, { "src": "procedural_math/polynomial_eval", "pred": "1", "gold": "-50", "ok": false, "gen_tokens": 9, "tail": "The answer is \\boxed{1}.", "raw_prompt": "Evaluate the polynomial p(x) = -4x^2 + 11x + -12 at x = -2. Give the integer p(-2).\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nSolve step by step and end with '#### N' where N is the final numeric answer.", "raw_output": "The answer is \\boxed{1}." }, { "src": "procedural_math/rate_distance", "pred": "6", "gold": "101", "ok": false, "gen_tokens": 160, "tail": "{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed", "raw_prompt": "Two cars start traveling east on the same highway. Car A travels at 67 kilometers per hour. Car B starts 25 kilometers behind Car A and travels at 88 kilometers per hour. After 6 hours of driving, how many kilometers ahead of Car A is Car B?\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nSolve step by step and end with '#### N' where N is the final numeric answer.", "raw_output": "The answer is \\boxed{6} \\boxed{7} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed" }, { "src": "procedural_math/arithmetic_series", "pred": "The first step is to find the sum of all the numbers in the given array and then", "gold": "510", "ok": false, "gen_tokens": 28, "tail": "first step is to find the sum of all the numbers in the given array and then calculate the sum of the first two numbers.", "raw_prompt": "Compute the sum of the first 17 terms of the arithmetic sequence whose first term is 14 and whose common difference is 2.\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nSolve step by step and end with '#### N' where N is the final numeric answer.", "raw_output": "The first step is to find the sum of all the numbers in the given array and then calculate the sum of the first two numbers." }, { "src": "procedural_math/gcd_lcm", "pred": "100", "gold": "2", "ok": false, "gen_tokens": 11, "tail": "The answer is \\boxed{100}.", "raw_prompt": "Compute the greatest common divisor of 102 and 320.\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nSolve step by step and end with '#### N' where N is the final numeric answer.", "raw_output": "The answer is \\boxed{100}." }, { "src": "procedural_math/triangle_area", "pred": "15", "gold": "52", "ok": false, "gen_tokens": 10, "tail": "The answer is \\boxed{15}.", "raw_prompt": "A triangle has base 8 cm and corresponding height 13 cm. What is its area in square centimeters? (Use the formula area = base * height / 2 and give the integer.)\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nSolve step by step and end with '#### N' where N is the final numeric answer.", "raw_output": "The answer is \\boxed{15}." }, { "src": "procedural_math/proportion", "pred": "5", "gold": "1224", "ok": false, "gen_tokens": 160, "tail": "{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed", "raw_prompt": "If 4 units of resource A produce 59 widgets, and we have 83 units of resource A, how many widgets can be produced (rounded down to a whole number)?\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nSolve step by step and end with '#### N' where N is the final numeric answer.", "raw_output": "The answer is \\boxed{5} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed" }, { "src": "procedural_math/percentage", "pred": "45", "gold": "417", "ok": false, "gen_tokens": 10, "tail": "The answer is \\boxed{45}.", "raw_prompt": "A shop has 931 items in stock. They sell 40% of them on Monday, then receive 45 new items. How many items have left the shop, plus the new arrivals (i.e. 40% of 931 plus 45)?\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nSolve step by step and end with '#### N' where N is the final numeric answer.", "raw_output": "The answer is \\boxed{45}." }, { "src": "procedural_math/simultaneous", "pred": "7", "gold": "8", "ok": false, "gen_tokens": 9, "tail": "The answer is \\boxed{7}.", "raw_prompt": "Solve the system:\n 3 x + 7 y = 64\n 5 x + 3 y = 72\nThen compute x - y as an integer.\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nSolve step by step and end with '#### N' where N is the final numeric answer.", "raw_output": "The answer is \\boxed{7}." }, { "src": "procedural_math/modular_linear", "pred": "1", "gold": "9", "ok": false, "gen_tokens": 9, "tail": "The answer is \\boxed{1}.", "raw_prompt": "Compute ((5 * 25) + (5 * 21) + 10) mod 11.\nGive your final answer as the integer remainder.\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nSolve step by step and end with '#### N' where N is the final numeric answer.", "raw_output": "The answer is \\boxed{1}." }, { "src": "procedural_math/mixture", "pred": "12", "gold": "3830", "ok": false, "gen_tokens": 10, "tail": "The answer is \\boxed{12}.", "raw_prompt": "A chemist mixes 20 grams of solution A (at 25% solute) with 37 grams of solution B (at 90% solute). Compute the total mass of solute across both solutions in centigrams (1 centigram = 0.01 grams). Give the integer (equal to v1*p1 + v2*p2).\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nSolve step by step and end with '#### N' where N is the final numeric answer.", "raw_output": "The answer is \\boxed{12}." }, { "src": "procedural_math/unit_conversion", "pred": "5", "gold": "310", "ok": false, "gen_tokens": 9, "tail": "The answer is \\boxed{5}.", "raw_prompt": "How many total minutes are in 5 hours and 10 minutes?\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nSolve step by step and end with '#### N' where N is the final numeric answer.", "raw_output": "The answer is \\boxed{5}." }, { "src": "procedural_math/geometric_series", "pred": "60", "gold": "2912", "ok": false, "gen_tokens": 160, "tail": "al number of items in the first equation.\n\nThe second step is to find the total number of items in the first equation.\n\n", "raw_prompt": "Compute the sum of the first 6 terms of the geometric sequence with first term 8 and common ratio 3.\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nSolve step by step and end with '#### N' where N is the final numeric answer.", "raw_output": "The first step is to calculate 60% of the total number of 60% (60% of the total number) with 60% of the total number of items.\n\nThe second step is to find the total number of items in the first equation.\n\nThe second step is to find the total number of items in the first equation.\n\nThe second step is to find the total number of items in the first equation.\n\nThe second step is to find the total number of items in the first equation.\n\nThe second step is to find the total number of items in the first equation.\n\nThe third step is to find the total number of items in the first equation.\n\nThe second step is to find the total number of items in the first equation.\n\n" }, { "src": "procedural_math/probability_count", "pred": "7", "gold": "15", "ok": false, "gen_tokens": 9, "tail": "The answer is \\boxed{7}.", "raw_prompt": "A bag contains 7 red, 4 blue, and 2 green marbles. You draw one at random. What is the probability (in whole percent, rounded down) of drawing a neither red nor blue marble?\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nSolve step by step and end with '#### N' where N is the final numeric answer.", "raw_output": "The answer is \\boxed{7}." }, { "src": "procedural_math/set_intersect", "pred": "75", "gold": "87", "ok": false, "gen_tokens": 10, "tail": "The answer is \\boxed{75}.", "raw_prompt": "In a class, 77 students study Spanish, 45 study French, and 35 study both. How many students study Spanish or French (or both)?\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nSolve step by step and end with '#### N' where N is the final numeric answer.", "raw_output": "The answer is \\boxed{75}." }, { "src": "procedural_math/digit_sum", "pred": "5", "gold": "126", "ok": false, "gen_tokens": 160, "tail": "{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed", "raw_prompt": "Let S be the sum of the digits of 190880. Compute (S * 5) minus 4.\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nSolve step by step and end with '#### N' where N is the final numeric answer.", "raw_output": "The answer is \\boxed{5} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed{1} \\boxed" } ], "error": null, "mean_gen_tokens": 48.3, "mean_gen_tokens_correct": 0.0 }, "code_bench": { "n": 10, "correct": 5, "pass_frac": 0.5, "wall_s": 33.4, "items": [ { "task_id": "v27/run_length/00", "entry_point": "rle", "ok": false, "gen_tokens": 18, "reason": "fail:SyntaxError: unmatched ')'", "tail": "def r, s = [x, y] x + 3, y)", "raw_prompt": "Complete the following Python function. Output only the function body (no extra explanation, no markdown fences).\n\ndef rle(s):\n \"\"\"Return the run-length encoding of the string ``s`` as a list of (char, count) tuples. ``rle('')`` is ``[]``. ``rle('aaabb')`` is ``[('a', 3), ('b', 2)]``.\n \"\"\"\n", "raw_output": "def r, s = [x, y] x + 3, y)" }, { "task_id": "v27/string_predicate/01", "entry_point": "is_balanced", "ok": false, "gen_tokens": 79, "reason": "fail:SyntaxError: invalid syntax", "tail": "\n elif c == ')':\n bal += 1\n elif c == ')':\n bal < 0:\n if c == 0:\n return False\n return bal == 0", "raw_prompt": "Complete the following Python function. Output only the function body (no extra explanation, no markdown fences).\n\ndef is_balanced(s):\n \"\"\"Return True if every '(' in ``s`` has a matching ')' to its right and the brackets are properly nested. Other characters are ignored. The empty string is balanced.\n \"\"\"\n", "raw_output": "def is_balanced(s):\n bal = 0\n for c in s:\n if c == '(':\n bal += 1\n elif c == ')':\n bal += 1\n elif c == ')':\n bal < 0:\n if c == 0:\n return False\n return bal == 0" }, { "task_id": "v27/pair_count/02", "entry_point": "pair_count", "ok": true, "gen_tokens": 59, "reason": "pass", "tail": "count(xs):\n c = 0\n for i in range(len(xs)):\n for j in range(i + 1, len(xs)):\n if xs[i] + xs[j] == 6:\n c += 1\n return c", "raw_prompt": "Complete the following Python function. Output only the function body (no extra explanation, no markdown fences).\n\ndef pair_count(xs):\n \"\"\"Return the number of unordered pairs (i, j) with i < j such that ``xs[i] + xs[j] == 6``.\n \"\"\"\n", "raw_output": "def pair_count(xs):\n c = 0\n for i in range(len(xs)):\n for j in range(i + 1, len(xs)):\n if xs[i] + xs[j] == 6:\n c += 1\n return c" }, { "task_id": "v27/string_transform/03", "entry_point": "swap_pairs", "ok": true, "gen_tokens": 60, "reason": "pass", "tail": "def swap_pairs(s):\n r = list(s)\n for i in range(0, len(r) - 1, 2):\n r[i], r[i + 1] = r[i + 1], r[i]\n return ''.join(r)", "raw_prompt": "Complete the following Python function. Output only the function body (no extra explanation, no markdown fences).\n\ndef swap_pairs(s):\n \"\"\"Return a string where every pair of adjacent characters has been swapped (so ``'abcd'`` becomes ``'badc'``). If the length is odd, the trailing character stays in place.\n \"\"\"\n", "raw_output": "def swap_pairs(s):\n r = list(s)\n for i in range(0, len(r) - 1, 2):\n r[i], r[i + 1] = r[i + 1], r[i]\n return ''.join(r)" }, { "task_id": "v27/aggregate_list/04", "entry_point": "aggregate", "ok": true, "gen_tokens": 23, "reason": "pass", "tail": "def aggregate(xs):\n return sum(x for x in xs if x % 2 == 0)", "raw_prompt": "Complete the following Python function. Output only the function body (no extra explanation, no markdown fences).\n\ndef aggregate(xs):\n \"\"\"Return the sum of the even integers in ``xs``.\n\n If there are no even integers, return 0.\n \"\"\"\n", "raw_output": "def aggregate(xs):\n return sum(x for x in xs if x % 2 == 0)" }, { "task_id": "v27/digit_sum/05", "entry_point": "digit_sum", "ok": true, "gen_tokens": 19, "reason": "pass", "tail": "def digit_sum(n):\n return sum(int(c) for c in str(n))", "raw_prompt": "Complete the following Python function. Output only the function body (no extra explanation, no markdown fences).\n\ndef digit_sum(n):\n \"\"\"Return the sum of the decimal digits of the non-negative integer ``n``. ``digit_sum(0)`` is 0.\n \"\"\"\n", "raw_output": "def digit_sum(n):\n return sum(int(c) for c in str(n))" }, { "task_id": "v27/window_sum/06", "entry_point": "window_max_sum", "ok": false, "gen_tokens": 49, "reason": "fail:SyntaxError: expected '('", "tail": "def window = [x for x in xs if x != 0]\n if not nz:\n return 0\n r = 1\n for x in nz:\n r *= x\n return r", "raw_prompt": "Complete the following Python function. Output only the function body (no extra explanation, no markdown fences).\n\ndef window_max_sum(xs, k):\n \"\"\"Return the maximum sum of any contiguous window of exactly ``k`` consecutive elements in the list ``xs``. If ``k`` is larger than the length of ``xs`` or ``xs`` is empty, return 0.\n \"\"\"\n", "raw_output": "def window = [x for x in xs if x != 0]\n if not nz:\n return 0\n r = 1\n for x in nz:\n r *= x\n return r" }, { "task_id": "v27/transform_list/07", "entry_point": "transform", "ok": true, "gen_tokens": 17, "reason": "pass", "tail": "def transform(xs):\n return [abs(x) for x in xs]", "raw_prompt": "Complete the following Python function. Output only the function body (no extra explanation, no markdown fences).\n\ndef transform(xs):\n \"\"\"Return a list of the absolute values of each element of ``xs``.\n\n >>> transform([-1, 2, -3])\n [1, 2, 3]\n \"\"\"\n", "raw_output": "def transform(xs):\n return [abs(x) for x in xs]" }, { "task_id": "v27/run_length/08", "entry_point": "rle", "ok": false, "gen_tokens": 18, "reason": "fail:SyntaxError: unmatched ')'", "tail": "def r, s = [x, y] x + 3, y)", "raw_prompt": "Complete the following Python function. Output only the function body (no extra explanation, no markdown fences).\n\ndef rle(s):\n \"\"\"Return the run-length encoding of the string ``s`` as a list of (char, count) tuples. ``rle('')`` is ``[]``. ``rle('aaabb')`` is ``[('a', 3), ('b', 2)]``.\n \"\"\"\n", "raw_output": "def r, s = [x, y] x + 3, y)" }, { "task_id": "v27/string_predicate/09", "entry_point": "is_anagram", "ok": false, "gen_tokens": 16, "reason": "fail:AssertionError", "tail": "def is_palindrome(s):\n return s == s[::-1]", "raw_prompt": "Complete the following Python function. Output only the function body (no extra explanation, no markdown fences).\n\ndef is_anagram(a, b):\n \"\"\"Return True if string ``a`` is an anagram of string ``b`` (case-sensitive). Different lengths return False.\n \"\"\"\n", "raw_output": "def is_palindrome(s):\n return s == s[::-1]" } ], "error": null, "mean_gen_tokens": 35.8, "mean_gen_tokens_correct": 35.6 }, "reasoning_bench": { "n": 12, "correct": 2, "pass_frac": 0.167, "wall_s": 3.3, "items": [ { "src": "procedural_reasoning/analogy_letter", "pred": "(A)", "gold": "(A)", "ok": true, "gen_tokens": 3, "tail": "(A)", "raw_prompt": "The letter D is to O as the letter Q is to which letter?\n\nOptions:\n(A) B\n(B) D\n(C) Z\n(D) A\n\nRespond with only the letter in parentheses, e.g. (A).", "raw_output": "(A)" }, { "src": "procedural_reasoning/ordering", "pred": "(D)", "gold": "(A)", "ok": false, "gen_tokens": 3, "tail": "(D)", "raw_prompt": "Given the heights:\n- Ivara is 154 cm tall.\n- Aster is 185 cm tall.\n- Mira is 167 cm tall.\n\nWhich list orders the people from tallest to shortest?\n\nOptions:\n(A) Aster, Mira, Ivara\n(B) Ivara, Aster, Mira\n(C) Mira, Aster, Ivara\n(D) Ivara, Mira, Aster\n\nRespond with only the letter in parentheses, e.g. (A).", "raw_output": "(D)" }, { "src": "procedural_reasoning/odd_one_out", "pred": "(D)", "gold": "(C)", "ok": false, "gen_tokens": 3, "tail": "(D)", "raw_prompt": "Three of these strings contain only vowels. Which one does not?\n\nOptions:\n(A) aeu\n(B) iuoai\n(C) fffg\n(D) auiua\n\nRespond with only the letter in parentheses, e.g. (A).", "raw_output": "(D)" }, { "src": "procedural_reasoning/deduction", "pred": "(A)", "gold": "(C)", "ok": false, "gen_tokens": 3, "tail": "(A)", "raw_prompt": "Three friends each have a different favorite colour. Use the clues below to deduce who likes which colour.\n\n- Canto's favorite colour is not purple.\n- Canto's favorite colour is blue.\n- Beryl's favorite colour is red.\n\nWhat is Beryl's favorite colour?\n\nOptions:\n(A) blue\n(B) purple\n(C) red\n\nRespond with only the letter in parentheses, e.g. (A).", "raw_output": "(A)" }, { "src": "procedural_reasoning/boolean_eval", "pred": "(A)", "gold": "(B)", "ok": false, "gen_tokens": 3, "tail": "(A)", "raw_prompt": "Evaluate the boolean expression and pick the correct value:\n\n(False) and (True)\n\nOptions:\n(A) True\n(B) False\n\nRespond with only the letter in parentheses, e.g. (A).", "raw_output": "(A)" }, { "src": "procedural_reasoning/sequence_next", "pred": "(D)", "gold": "(B)", "ok": false, "gen_tokens": 3, "tail": "(D)", "raw_prompt": "What is the next term of the sequence 4, -1, 14, -11, ?\n\nOptions:\n(A) 36\n(B) 24\n(C) 26\n(D) 48\n\nRespond with only the letter in parentheses, e.g. (A).", "raw_output": "(D)" }, { "src": "procedural_reasoning/analogy_letter", "pred": "(A)", "gold": "(A)", "ok": true, "gen_tokens": 3, "tail": "(A)", "raw_prompt": "The letter C is to I as the letter O is to which letter?\n\nOptions:\n(A) U\n(B) T\n(C) W\n(D) S\n\nRespond with only the letter in parentheses, e.g. (A).", "raw_output": "(A)" }, { "src": "procedural_reasoning/ordering", "pred": "(D)", "gold": "(B)", "ok": false, "gen_tokens": 3, "tail": "(D)", "raw_prompt": "Given the heights:\n- Kestrel is 161 cm tall.\n- Faro is 157 cm tall.\n- Mira is 195 cm tall.\n- Hedra is 145 cm tall.\n\nWhich list orders the people from tallest to shortest?\n\nOptions:\n(A) Hedra, Faro, Mira, Kestrel\n(B) Mira, Kestrel, Faro, Hedra\n(C) Kestrel, Faro, Hedra, Mira\n(D) Hedra, Mira, Kestrel, Faro\n\nRespond with only the letter in parentheses, e.g. (A).", "raw_output": "(D)" }, { "src": "procedural_reasoning/odd_one_out", "pred": "(D)", "gold": "(B)", "ok": false, "gen_tokens": 3, "tail": "(D)", "raw_prompt": "Three of these strings begin with the same consonant repeated twice. Which one does not?\n\nOptions:\n(A) ddi\n(B) fub\n(C) cce\n(D) ggi\n\nRespond with only the letter in parentheses, e.g. (A).", "raw_output": "(D)" }, { "src": "procedural_reasoning/deduction", "pred": "(A)", "gold": "(B)", "ok": false, "gen_tokens": 3, "tail": "(A)", "raw_prompt": "Three friends each have a different favorite colour. Use the clues below to deduce who likes which colour.\n\n- Beryl's favorite colour is not purple.\n- Beryl's favorite colour is blue.\n- Lumen's favorite colour is red.\n\nWhat is Aster's favorite colour?\n\nOptions:\n(A) red\n(B) purple\n(C) blue\n\nRespond with only the letter in parentheses, e.g. (A).", "raw_output": "(A)" }, { "src": "procedural_reasoning/boolean_eval", "pred": "(A)", "gold": "(B)", "ok": false, "gen_tokens": 3, "tail": "(A)", "raw_prompt": "Evaluate the boolean expression and pick the correct value:\n\n(not True) or (False)\n\nOptions:\n(A) True\n(B) False\n\nRespond with only the letter in parentheses, e.g. (A).", "raw_output": "(A)" }, { "src": "procedural_reasoning/sequence_next", "pred": "(D)", "gold": "(B)", "ok": false, "gen_tokens": 3, "tail": "(D)", "raw_prompt": "What is the next term of the sequence 6, 0, 18, -12, ?\n\nOptions:\n(A) 36\n(B) 30\n(C) 31\n(D) 60\n\nRespond with only the letter in parentheses, e.g. (A).", "raw_output": "(D)" } ], "error": null, "mean_gen_tokens": 3.0, "mean_gen_tokens_correct": 3.0 }, "knowledge_bench": { "n": 0, "correct": 0, "pass_frac": 0.0, "wall_s": 0.0, "items": [], "error": null, "mean_gen_tokens": 0.0, "mean_gen_tokens_correct": 0.0 }, "ifeval_bench": { "n": 10, "correct": 5, "pass_frac": 0.5, "wall_s": 112.2, "items": [ { "src": "procedural_ifeval/forbid_keyword", "instruction_ids": [ "keywords:forbidden_words" ], "per_instruction": [ true ], "ok": true, "gen_tokens": 26, "tail": "A. 100% of the 1000s,\n1.00011}.", "raw_prompt": "Write a short reflection on a daily commute by bicycle. Do not use the word 'lighthouse' anywhere in your response.", "raw_output": "A. 100% of the 1000s,\n1.00011}." }, { "src": "procedural_ifeval/no_comma", "instruction_ids": [ "punctuation:no_comma" ], "per_instruction": [ true ], "ok": true, "gen_tokens": 3, "tail": "fing", "raw_prompt": "Describe the joys of urban gardening briefly. Do not use any commas anywhere in your response.", "raw_output": "fing" }, { "src": "procedural_ifeval/exact_words", "instruction_ids": [ "length_constraints:number_words" ], "per_instruction": [ false ], "ok": false, "gen_tokens": 256, "tail": "' is 'd' and 'd' is 'd' or 'd'\n\nThe answer is 'c' is 'd' and 'd' is 'd' or 'd'\n\n\\(\\d' is 'c' or 'd' is 'd' or 'd'\n\n\\(\\d{", "raw_prompt": "Write a single paragraph about long-distance lighthouse keepers. It must contain exactly 30 words. Do not include any markdown, lists, or numbered headings.", "raw_output": "The answer is **Ble, a popular, and well-known word-of-the-line word for 'sustainable' and 'c' in the context of 'c' (e.g., 'e' or 'e' is a common word in the context of 'd' or 'e' in the context of 'c' (e.g., 'e' or 'e' is 'i' or 'e' (e.g., 'i' or 'o').\n\nThe answer is \\boxed{1} and 'd' is \\boxed{1} of 'd' (e.g., 'c' and 'd' are \\(a\\) and 'd' (e.g., 'd' and 'd' are not 'd' (e.g., 'd' and 'd' is 100).\n\nThe answer to the question is 'c' is 'c' or 'd' is 'd' and 'd' is 'd' or 'd'\n\nThe answer is 'c' is 'd' and 'd' is 'd' or 'd'\n\n\\(\\d' is 'c' or 'd' is 'd' or 'd'\n\n\\(\\d{" }, { "src": "procedural_ifeval/ends_with_phrase", "instruction_ids": [ "startend:end_checker" ], "per_instruction": [ false ], "ok": false, "gen_tokens": 18, "tail": "The answer is **Bleash 18.5.5.5.", "raw_prompt": "Write a brief note about early-morning bakery routines. Your reply must end with the exact phrase: 'End of report.'. The very last characters of your response should be that phrase.", "raw_output": "The answer is **Bleash 18.5.5.5." }, { "src": "procedural_ifeval/all_lowercase", "instruction_ids": [ "change_case:english_lowercase" ], "per_instruction": [ true ], "ok": true, "gen_tokens": 3, "tail": "a)", "raw_prompt": "Describe the joys of urban gardening in three sentences. Use only lowercase letters in your entire response. Do not use any uppercase letters.", "raw_output": "a)" }, { "src": "procedural_ifeval/exact_sentences", "instruction_ids": [ "length_constraints:number_sentences" ], "per_instruction": [ true ], "ok": true, "gen_tokens": 122, "tail": "*\n\n**Step 9****\n\n**Step 9****\n\n**Step 9****\n\n**Step 1:**\n\n**Step 1:**\n\n**Step 1:**\n\n**Step 2:**\n\n**Step 2:**\n\n**Step 3**", "raw_prompt": "Describe alpine railway engineering in exactly 2 sentences. Each sentence must end with a period.", "raw_output": "The answer is **9. **A) **A) **A**\n\n**The **9** is **9:** The **9\" is **9) **9:** The **9\" is a **9\" (9) **9:** The **9\" is a **9\" = 9**\n\n**Step 9****\n\n**Step 9****\n\n**Step 9****\n\n**Step 1:**\n\n**Step 1:**\n\n**Step 1:**\n\n**Step 2:**\n\n**Step 2:**\n\n**Step 3**" }, { "src": "procedural_ifeval/include_keyword", "instruction_ids": [ "keywords:frequency" ], "per_instruction": [ false ], "ok": false, "gen_tokens": 256, "tail": "\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t", "raw_prompt": "Write a paragraph about a daily commute by bicycle. The word 'harbor' must appear at least 4 times.", "raw_output": "The answer is **4:**\nThe answer is **5)\n**1:**\n**1:**\n**2:**\n**\n**2:**\n**\n**\n**\n**\n**\n**\n**\n**\n**\n**\n**\n\n**Step 2:\n**\n**\n**\n\n**Step 1:**\n2:\n**\n**\n**\n**\n**\n\n**Step 2:\n**\n**\n**\n**\n\n**Step 3:\n1. **\n2:**\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t" }, { "src": "procedural_ifeval/title_format", "instruction_ids": [ "detectable_format:title" ], "per_instruction": [ false ], "ok": false, "gen_tokens": 256, "tail": "is to check the temperature of the bookcase.\nThe first step in the bookcase is to check the temperature of the bookcase.", "raw_prompt": "Write an engaging short note about weather forecasting at sea. Begin with a title wrapped in double angle brackets, like ``<>``, on the first line.", "raw_output": "The first step in the bookcase is to check the temperature of the bookcase. The first step is to check the temperature of the bookcase.\nThe first step is to check the temperature of the bookcase.\nThe second step is to check the temperature of the bookcase.\nThe first step in the bookcase is to check the temperature of the bookcase.\nThe first step in the bookcase is to check the temperature of the bookcase.\nThe first step in the bookcase is to check the temperature of the bookcase.\nThe first step in the bookcase is to check the temperature of the bookcase.\nThe first step in the bookcase is to check the temperature of the bookcase.\nThe first step in the bookcase is to check the temperature of the bookcase.\nThe first step in the bookcase is to check the temperature of the bookcase.\nThe first step in the bookcase is to check the temperature of the bookcase.\nThe first step in the bookcase is to check the temperature of the bookcase.\nThe first step in the bookcase is to check the temperature of the bookcase.\nThe first step in the bookcase is to check the temperature of the bookcase." }, { "src": "procedural_ifeval/json_format", "instruction_ids": [ "detectable_format:json_format" ], "per_instruction": [ false ], "ok": false, "gen_tokens": 256, "tail": "199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 1", "raw_prompt": "Provide the following information about a daily commute by bicycle as a single JSON object with exactly the keys 'topic', 'summary' (string), and 'keywords' (list of strings). Output only the JSON object, no surrounding prose.", "raw_output": "A. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 199\nA. 1" }, { "src": "procedural_ifeval/all_uppercase", "instruction_ids": [ "change_case:english_capital" ], "per_instruction": [ true ], "ok": true, "gen_tokens": 9, "tail": "A BRIEF RESPONSE IN UPP)", "raw_prompt": "Describe a daily commute by bicycle in two sentences. Write your entire response in all UPPERCASE letters. Do not use any lowercase letters.", "raw_output": "A BRIEF RESPONSE IN UPP)" } ], "error": null, "mean_gen_tokens": 120.5, "mean_gen_tokens_correct": 32.6 }, "aime_bench": { "n": 10, "correct": 0, "pass_frac": 0.0, "wall_s": 6.5, "items": [ { "src": "procedural_aime/lcm_residue", "pred": "9", "gold": "57", "ok": false, "gen_tokens": 9, "tail": "The answer is \\boxed{9}.", "raw_prompt": "Find the smallest positive integer x with x mod 10 = 7 and x mod 9 = 3. The answer is a positive integer less than 90.\n\nSolve carefully and end with '#### N' where N is the final integer answer.\n\nThis is an AIME problem. The answer is an integer between 0 and 999. Solve the problem step by step and end your response with '\\boxed{ANSWER}' where ANSWER is the final integer.", "raw_output": "The answer is \\boxed{9}." }, { "src": "procedural_aime/diophantine", "pred": "1", "gold": "290", "ok": false, "gen_tokens": 9, "tail": "The answer is \\boxed{1}.", "raw_prompt": "Two positive integers x and y satisfy x + y = 24 and x * y = 143, with 2 <= x <= y. Compute the integer x^2 + y^2.\n\nSolve carefully and end with '#### N' where N is the final integer answer.\n\nThis is an AIME problem. The answer is an integer between 0 and 999. Solve the problem step by step and end your response with '\\boxed{ANSWER}' where ANSWER is the final integer.", "raw_output": "The answer is \\boxed{1}." }, { "src": "procedural_aime/factor_chain", "pred": "9", "gold": "52", "ok": false, "gen_tokens": 9, "tail": "The answer is \\boxed{9}.", "raw_prompt": "The integer 1309 factors uniquely as a product of three distinct primes. Let s be the sum of those three primes. Compute s + 17.\n\nSolve carefully and end with '#### N' where N is the final integer answer.\n\nThis is an AIME problem. The answer is an integer between 0 and 999. Solve the problem step by step and end your response with '\\boxed{ANSWER}' where ANSWER is the final integer.", "raw_output": "The answer is \\boxed{9}." }, { "src": "procedural_aime/iterated_digit", "pred": "1", "gold": "66", "ok": false, "gen_tokens": 9, "tail": "The answer is \\boxed{1}.", "raw_prompt": "Define f(n) = 7 * (sum of digits of n) + 3. Starting at n_0 = 147, compute n_3 = f(f(f(n_0))).\n\nSolve carefully and end with '#### N' where N is the final integer answer.\n\nThis is an AIME problem. The answer is an integer between 0 and 999. Solve the problem step by step and end your response with '\\boxed{ANSWER}' where ANSWER is the final integer.", "raw_output": "The answer is \\boxed{1}." }, { "src": "procedural_aime/chained_modular", "pred": "13", "gold": "81", "ok": false, "gen_tokens": 10, "tail": "The answer is \\boxed{13}.", "raw_prompt": "Compute the value of ((2^18) * 2) mod 113, where ^ denotes integer exponentiation. The final answer is a non-negative integer less than 113.\n\nSolve carefully and end with '#### N' where N is the final integer answer.\n\nThis is an AIME problem. The answer is an integer between 0 and 999. Solve the problem step by step and end your response with '\\boxed{ANSWER}' where ANSWER is the final integer.", "raw_output": "The answer is \\boxed{13}." }, { "src": "procedural_aime/lcm_residue", "pred": "1", "gold": "43", "ok": false, "gen_tokens": 9, "tail": "The answer is \\boxed{1}.", "raw_prompt": "Find the smallest positive integer x with x mod 6 = 1 and x mod 13 = 4. The answer is a positive integer less than 78.\n\nSolve carefully and end with '#### N' where N is the final integer answer.\n\nThis is an AIME problem. The answer is an integer between 0 and 999. Solve the problem step by step and end your response with '\\boxed{ANSWER}' where ANSWER is the final integer.", "raw_output": "The answer is \\boxed{1}." }, { "src": "procedural_aime/diophantine", "pred": "1", "gold": "169", "ok": false, "gen_tokens": 9, "tail": "The answer is \\boxed{1}.", "raw_prompt": "Two positive integers x and y satisfy x + y = 17 and x * y = 60, with 2 <= x <= y. Compute the integer x^2 + y^2.\n\nSolve carefully and end with '#### N' where N is the final integer answer.\n\nThis is an AIME problem. The answer is an integer between 0 and 999. Solve the problem step by step and end your response with '\\boxed{ANSWER}' where ANSWER is the final integer.", "raw_output": "The answer is \\boxed{1}." }, { "src": "procedural_aime/factor_chain", "pred": "99", "gold": "62", "ok": false, "gen_tokens": 10, "tail": "The answer is \\boxed{99}.", "raw_prompt": "The integer 935 factors uniquely as a product of three distinct primes. Let s be the sum of those three primes. Compute s + 29.\n\nSolve carefully and end with '#### N' where N is the final integer answer.\n\nThis is an AIME problem. The answer is an integer between 0 and 999. Solve the problem step by step and end your response with '\\boxed{ANSWER}' where ANSWER is the final integer.", "raw_output": "The answer is \\boxed{99}." }, { "src": "procedural_aime/iterated_digit", "pred": "9", "gold": "66", "ok": false, "gen_tokens": 9, "tail": "The answer is \\boxed{9}.", "raw_prompt": "Define f(n) = 7 * (sum of digits of n) + 3. Starting at n_0 = 399, compute n_3 = f(f(f(n_0))).\n\nSolve carefully and end with '#### N' where N is the final integer answer.\n\nThis is an AIME problem. The answer is an integer between 0 and 999. Solve the problem step by step and end your response with '\\boxed{ANSWER}' where ANSWER is the final integer.", "raw_output": "The answer is \\boxed{9}." }, { "src": "procedural_aime/chained_modular", "pred": "9", "gold": "17", "ok": false, "gen_tokens": 9, "tail": "The answer is \\boxed{9}.", "raw_prompt": "Compute the value of ((5^8) * 6) mod 113, where ^ denotes integer exponentiation. The final answer is a non-negative integer less than 113.\n\nSolve carefully and end with '#### N' where N is the final integer answer.\n\nThis is an AIME problem. The answer is an integer between 0 and 999. Solve the problem step by step and end your response with '\\boxed{ANSWER}' where ANSWER is the final integer.", "raw_output": "The answer is \\boxed{9}." } ], "error": null, "mean_gen_tokens": 9.2, "mean_gen_tokens_correct": 0.0 }, "mbpp_bench": { "n": 10, "correct": 5, "pass_frac": 0.5, "wall_s": 28.3, "items": [ { "task_id": "v27/aggregate_list/00", "entry_point": "aggregate", "ok": true, "gen_tokens": 23, "reason": "pass", "tail": "def aggregate(xs):\n return sum(x for x in xs if x % 2 == 0)", "raw_prompt": "You are an expert Python programmer. Write a complete, correct Python solution for the task below. Define a function named `aggregate` that solves the task. Output only the function definition (no markdown fences, no explanation, no commentary).\n\ndef aggregate(xs):\n \"\"\"Return the sum of the even integers in ``xs``.\n\n If there are no even integers, return 0.\n \"\"\"\n", "raw_output": "def aggregate(xs):\n return sum(x for x in xs if x % 2 == 0)" }, { "task_id": "v27/window_sum/01", "entry_point": "window_max_sum", "ok": false, "gen_tokens": 49, "reason": "fail:SyntaxError: expected '('", "tail": "def window = [x for x in xs if x != 0]\n if not nz:\n return 0\n r = 1\n for x in nz:\n r *= x\n return r", "raw_prompt": "You are an expert Python programmer. Write a complete, correct Python solution for the task below. Define a function named `window_max_sum` that solves the task. Output only the function definition (no markdown fences, no explanation, no commentary).\n\ndef window_max_sum(xs, k):\n \"\"\"Return the maximum sum of any contiguous window of exactly ``k`` consecutive elements in the list ``xs``. If ``k`` is larger than the length of ``xs`` or ``xs`` is empty, return 0.\n \"\"\"\n", "raw_output": "def window = [x for x in xs if x != 0]\n if not nz:\n return 0\n r = 1\n for x in nz:\n r *= x\n return r" }, { "task_id": "v27/string_predicate/02", "entry_point": "is_anagram", "ok": false, "gen_tokens": 16, "reason": "fail:NameError: name 'is_anagram' is not defined", "tail": "def is_palindrome(s):\n return s == s[::-1]", "raw_prompt": "You are an expert Python programmer. Write a complete, correct Python solution for the task below. Define a function named `is_anagram` that solves the task. Output only the function definition (no markdown fences, no explanation, no commentary).\n\ndef is_anagram(a, b):\n \"\"\"Return True if string ``a`` is an anagram of string ``b`` (case-sensitive). Different lengths return False.\n \"\"\"\n", "raw_output": "def is_palindrome(s):\n return s == s[::-1]" }, { "task_id": "v27/string_transform/03", "entry_point": "alternate_case", "ok": false, "gen_tokens": 32, "reason": "fail:NameError: name 'alternate_case' is not defined", "tail": "def alternate_elements(n):\n return sum(1 for i in range(1, n + 1) if n % i == 0)", "raw_prompt": "You are an expert Python programmer. Write a complete, correct Python solution for the task below. Define a function named `alternate_case` that solves the task. Output only the function definition (no markdown fences, no explanation, no commentary).\n\ndef alternate_case(s):\n \"\"\"Return a new string where the i-th letter is uppercased for even i (0, 2, 4, ...) and lowercased for odd i. Non-letter characters are passed through unchanged. Indexes count all characters, including non-letters.\n \"\"\"\n", "raw_output": "def alternate_elements(n):\n return sum(1 for i in range(1, n + 1) if n % i == 0)" }, { "task_id": "v27/transform_list/04", "entry_point": "transform", "ok": true, "gen_tokens": 18, "reason": "pass", "tail": "def transform(xs):\n return [x * 2 for x in xs]", "raw_prompt": "You are an expert Python programmer. Write a complete, correct Python solution for the task below. Define a function named `transform` that solves the task. Output only the function definition (no markdown fences, no explanation, no commentary).\n\ndef transform(xs):\n \"\"\"Return a list where every element of ``xs`` is doubled.\n\n >>> transform([1, 2, 3])\n [2, 4, 6]\n \"\"\"\n", "raw_output": "def transform(xs):\n return [x * 2 for x in xs]" }, { "task_id": "v27/digit_sum/05", "entry_point": "digit_sum", "ok": true, "gen_tokens": 19, "reason": "pass", "tail": "def digit_sum(n):\n return sum(int(c) for c in str(n))", "raw_prompt": "You are an expert Python programmer. Write a complete, correct Python solution for the task below. Define a function named `digit_sum` that solves the task. Output only the function definition (no markdown fences, no explanation, no commentary).\n\ndef digit_sum(n):\n \"\"\"Return the sum of the decimal digits of the non-negative integer ``n``. ``digit_sum(0)`` is 0.\n \"\"\"\n", "raw_output": "def digit_sum(n):\n return sum(int(c) for c in str(n))" }, { "task_id": "v27/pair_count/06", "entry_point": "pair_count", "ok": true, "gen_tokens": 59, "reason": "pass", "tail": "count(xs):\n c = 0\n for i in range(len(xs)):\n for j in range(i + 1, len(xs)):\n if xs[i] + xs[j] == 5:\n c += 1\n return c", "raw_prompt": "You are an expert Python programmer. Write a complete, correct Python solution for the task below. Define a function named `pair_count` that solves the task. Output only the function definition (no markdown fences, no explanation, no commentary).\n\ndef pair_count(xs):\n \"\"\"Return the number of unordered pairs (i, j) with i < j such that ``xs[i] + xs[j] == 5``.\n \"\"\"\n", "raw_output": "def pair_count(xs):\n c = 0\n for i in range(len(xs)):\n for j in range(i + 1, len(xs)):\n if xs[i] + xs[j] == 5:\n c += 1\n return c" }, { "task_id": "v27/run_length/07", "entry_point": "rle", "ok": false, "gen_tokens": 23, "reason": "fail:SyntaxError: expected '('", "tail": "def r, s = list(s):\n return ''.join(c * 2 for c in s)", "raw_prompt": "You are an expert Python programmer. Write a complete, correct Python solution for the task below. Define a function named `rle` that solves the task. Output only the function definition (no markdown fences, no explanation, no commentary).\n\ndef rle(s):\n \"\"\"Return the run-length encoding of the string ``s`` as a list of (char, count) tuples. ``rle('')`` is ``[]``. ``rle('aaabb')`` is ``[('a', 3), ('b', 2)]``.\n \"\"\"\n", "raw_output": "def r, s = list(s):\n return ''.join(c * 2 for c in s)" }, { "task_id": "v27/aggregate_list/08", "entry_point": "aggregate", "ok": true, "gen_tokens": 15, "reason": "pass", "tail": "def aggregate(xs):\n return max(xs) - min(xs)", "raw_prompt": "You are an expert Python programmer. Write a complete, correct Python solution for the task below. Define a function named `aggregate` that solves the task. Output only the function definition (no markdown fences, no explanation, no commentary).\n\ndef aggregate(xs):\n \"\"\"Return the difference between the largest and the smallest value in ``xs``. The list always has at least one element.\n \"\"\"\n", "raw_output": "def aggregate(xs):\n return max(xs) - min(xs)" }, { "task_id": "v27/window_sum/09", "entry_point": "window_max_sum", "ok": false, "gen_tokens": 49, "reason": "fail:SyntaxError: expected '('", "tail": "def window = [x for x in xs if x != 0]\n if not nz:\n return 0\n r = 1\n for x in nz:\n r *= x\n return r", "raw_prompt": "You are an expert Python programmer. Write a complete, correct Python solution for the task below. Define a function named `window_max_sum` that solves the task. Output only the function definition (no markdown fences, no explanation, no commentary).\n\ndef window_max_sum(xs, k):\n \"\"\"Return the maximum sum of any contiguous window of exactly ``k`` consecutive elements in the list ``xs``. If ``k`` is larger than the length of ``xs`` or ``xs`` is empty, return 0.\n \"\"\"\n", "raw_output": "def window = [x for x in xs if x != 0]\n if not nz:\n return 0\n r = 1\n for x in nz:\n r *= x\n return r" } ], "error": null, "mean_gen_tokens": 30.3, "mean_gen_tokens_correct": 26.8 }, "tool_use_bench": { "n": 8, "correct": 0, "pass_frac": 0.0, "wall_s": 90.8, "items": [ { "src": "procedural_math/geometric_series", "tool_used": false, "tool_result": null, "pred": "1", "gold": "248", "ok": false, "gen_tokens": 192, "tail": " 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n #", "raw_prompt": "Compute the sum of the first 5 terms of the geometric sequence with first term 8 and common ratio 2.\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nYou have access to a Python calculator. To use it, write `<python>CODE</python>` and the environment will execute CODE and return the stdout as `<output>RESULT</output>`. Then continue and give your final answer inside `\\boxed{ANSWER}`. If you don't need the calculator, just solve normally.", "raw_output": " # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n #" }, { "src": "procedural_math/set_intersect", "tool_used": false, "tool_result": null, "pred": "9", "gold": "93", "ok": false, "gen_tokens": 192, "tail": " * 7:\n * 56:\n * 7:\n * 8:\n * 7:\n * 56:\n * 7:\n * 8:\n * 7:\n * 9:\n * 7:\n * 8:\n * 7:\n * 7:\n * 8:\n * 7:\n * 9:\n * ", "raw_prompt": "In a class, 76 students study Spanish, 74 study French, and 57 study both. How many students study Spanish or French (or both)?\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nYou have access to a Python calculator. To use it, write `<python>CODE</python>` and the environment will execute CODE and return the stdout as `<output>RESULT</output>`. Then continue and give your final answer inside `\\boxed{ANSWER}`. If you don't need the calculator, just solve normally.", "raw_output": "The answer to the question is **56) is **56** (56) and (7) is **56** (8) to (9) is **56** (7) to 8:\n * 7:\n * 8:\n * 7:\n * 56:\n * 7:\n * 8:\n * 7:\n * 56:\n * 7:\n * 8:\n * 7:\n * 56:\n * 7:\n * 8:\n * 7:\n * 9:\n * 7:\n * 8:\n * 7:\n * 7:\n * 8:\n * 7:\n * 9:\n * " }, { "src": "procedural_math/simultaneous", "tool_used": false, "tool_result": null, "pred": "60", "gold": "24", "ok": false, "gen_tokens": 192, "tail": "\n**\n**\n**\n**\n**\n**\n```\n**\n**\n**\n**\n**\n**\n**\n```\n**\n**\n**\n**\n**\n**\n```\n**\n**\n**\n**\n```\n**\n**\n**\n**\n```\n**\n**\n**\n```\n**\n**\n**\n```\n**\n**\n```\n**\n**\n**\n```\n**\n**\n**\n", "raw_prompt": "Solve the system:\n 6 x + 4 y = 60\n 4 x + 1 y = 35\nThen compute x * y as an integer.\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nYou have access to a Python calculator. To use it, write `<python>CODE</python>` and the environment will execute CODE and return the stdout as `<output>RESULT</output>`. Then continue and give your final answer inside `\\boxed{ANSWER}`. If you don't need the calculator, just solve normally.", "raw_output": "The answer to your question is **60** is **60** and is **60**\n\n**\n**\n**\n**\n**\n**\n**\n**\n**\n**\n**\n**\n**\n**\n**\n**\n**\n**\n**\n**\n**\n**\n**\n**\n**\n**\n**\n**\n**\n**\n**\n**\n**\n**\n**\n**\n**\n**\n**\n**\n**\n```\n**\n**\n**\n**\n**\n**\n**\n```\n**\n**\n**\n**\n**\n**\n```\n**\n**\n**\n**\n```\n**\n**\n**\n**\n```\n**\n**\n**\n```\n**\n**\n**\n```\n**\n**\n```\n**\n**\n**\n```\n**\n**\n**\n" }, { "src": "procedural_math/probability_count", "tool_used": false, "tool_result": null, "pred": "10", "gold": "56", "ok": false, "gen_tokens": 11, "tail": "The answer to the question is **10.", "raw_prompt": "A bag contains 5 red, 2 blue, and 9 green marbles. You draw one at random. What is the probability (in whole percent, rounded down) of drawing a neither red nor blue marble?\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nYou have access to a Python calculator. To use it, write `<python>CODE</python>` and the environment will execute CODE and return the stdout as `<output>RESULT</output>`. Then continue and give your final answer inside `\\boxed{ANSWER}`. If you don't need the calculator, just solve normally.", "raw_output": "The answer to the question is **10." }, { "src": "procedural_math/triangle_area", "tool_used": false, "tool_result": null, "pred": "1456", "gold": "35", "ok": false, "gen_tokens": 10, "tail": "The answer to **1456}.", "raw_prompt": "A triangle has base 10 cm and corresponding height 7 cm. What is its area in square centimeters? (Use the formula area = base * height / 2 and give the integer.)\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nYou have access to a Python calculator. To use it, write `<python>CODE</python>` and the environment will execute CODE and return the stdout as `<output>RESULT</output>`. Then continue and give your final answer inside `\\boxed{ANSWER}`. If you don't need the calculator, just solve normally.", "raw_output": "The answer to **1456}." }, { "src": "procedural_math/gcd_lcm", "tool_used": false, "tool_result": null, "pred": "96", "gold": "1", "ok": false, "gen_tokens": 11, "tail": "The answer to your question is **96}.", "raw_prompt": "Compute the greatest common divisor of 996 and 73.\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nYou have access to a Python calculator. To use it, write `<python>CODE</python>` and the environment will execute CODE and return the stdout as `<output>RESULT</output>`. Then continue and give your final answer inside `\\boxed{ANSWER}`. If you don't need the calculator, just solve normally.", "raw_output": "The answer to your question is **96}." }, { "src": "procedural_math/digit_sum", "tool_used": false, "tool_result": null, "pred": "1", "gold": "205", "ok": false, "gen_tokens": 192, "tail": " 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n #", "raw_prompt": "Let S be the sum of the digits of 317657. Compute (S * 7) plus 2.\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nYou have access to a Python calculator. To use it, write `<python>CODE</python>` and the environment will execute CODE and return the stdout as `<output>RESULT</output>`. Then continue and give your final answer inside `\\boxed{ANSWER}`. If you don't need the calculator, just solve normally.", "raw_output": " # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n # 1\n #" }, { "src": "procedural_math/proportion", "tool_used": false, "tool_result": null, "pred": "1", "gold": "1064", "ok": false, "gen_tokens": 192, "tail": "00*1000*1000*1000*1000*1000*1000*1000*1000*1000*1000*1000*1000*1001*1001*1001*101*101*101*18*101*18*101*19*18*100*191*18*100=19100>>1918,000.\n\n*19100*1910 = <<1", "raw_prompt": "If 7 units of resource A produce 50 widgets, and we have 149 units of resource A, how many widgets can be produced (rounded down to a whole number)?\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nYou have access to a Python calculator. To use it, write `<python>CODE</python>` and the environment will execute CODE and return the stdout as `<output>RESULT</output>`. Then continue and give your final answer inside `\\boxed{ANSWER}`. If you don't need the calculator, just solve normally.", "raw_output": "The answer to the question is **100*100*1000*1000*1000*1000*1000*1000*1000*1000*1000*1000*1000*1000*1000*1000*1000*1000*1000*1001*1001*1001*101*101*101*18*101*18*101*19*18*100*191*18*100=19100>>1918,000.\n\n*19100*1910 = <<1" } ], "error": null, "mean_gen_tokens": 124.0, "mean_gen_tokens_correct": 0.0 }, "self_consistency_bench": { "n": 0, "correct": 0, "pass_frac": 0.0, "wall_s": 0.0, "items": [], "error": null, "mean_gen_tokens": 0.0, "mean_gen_tokens_correct": 0.0 }, "arc_bench": { "n": 0, "correct": 0, "pass_frac": 0.0, "wall_s": 0.0, "items": [], "error": null, "mean_gen_tokens": 0.0, "mean_gen_tokens_correct": 0.0 }, "truthful_bench": { "n": 0, "correct": 0, "pass_frac": 0.0, "wall_s": 0.0, "items": [], "error": null, "mean_gen_tokens": 0.0, "mean_gen_tokens_correct": 0.0 }, "long_context_bench": { "n": 6, "correct": 0, "pass_frac": 0.0, "wall_s": 18.0, "items": [ { "src": "long_context", "gold": "A93ZP3S", "pred_tail": "The total number of books in the park is 179.\n\nThe total number of books in the park is 179.\n\nThe total", "ok": false, "gen_tokens": 32, "raw_prompt": "Read the following document carefully.\n\nThe national park extended its summer hours by two weeks.\nUma volunteered at the animal shelter on alternate Saturdays.\nA brass bell tolled three times from the town square.\nThe train slowed as it entered the tunnel at Clearwater.\nXavier walked the dog before the morning rain arrived.\nThe village holds a pumpkin festival every October weekend.\nA peregrine falcon circled the cathedral tower before dusk.\nSnow fell steadily over the small village in the highlands.\nWild sunflowers bloomed along the highway's median strip.\nThe hidden guild's signal word is Y48D9PT.\nGreta carried her violin carefully down the wet steps.\nRosa taught beginner yoga classes every Tuesday evening.\nThe lost vault combination is A93ZP3S.\nThe fog rolled in from the coast just after seven PM.\nTomas grew tomatoes in clay pots on the sunny balcony.\nWild rosemary grew along the stone wall behind the school.\nAn orchestra rehearsed the overture twice before the show.\nA new cafe opened near the old train station last Tuesday.\nA crescent moon hung above the rooftops by midnight.\nJakob cleaned his grandfather's camera for the first time.\nTwo border collies herded sheep across the meadow at dawn.\nA small pumpkin patch sits just beyond the picket fence.\nProfessor Aldric's rare ingredient is 6R4PKVF.\nThe neighbours adopted a black-and-white kitten named Pepper.\nWendy finished knitting the scarf just before the first frost.\nThe tram to the harbour departs every fifteen minutes.\nLeo reread his favorite childhood novel every winter.\nThe keeper's favorite password is GMCYDRD.\nAn old lighthouse guards the northern cove from storms.\nIngrid hiked the ridge trail before the weather changed.\nViktor learned to bake bread from a video series online.\nClara found an old photograph tucked inside a paperback.\nSam organised a neighbourhood book swap in the autumn.\nPaul's startup released its first public beta this winter.\nA family of deer wandered across the university lawn.\nThe autumn leaves turned early this year in the valley.\nNoel studied French phrases each morning over breakfast tea.\nThe planetarium will replace its projector later this year.\nYara repaired the broken porch swing with reclaimed oak.\nOlive forgot her keys at the coworking space overnight.\nKira repaired the bicycle's flat tire in under ten minutes.\nHector practiced card tricks at the coffee shop for hours.\nAnna opened the windows to let in the evening breeze.\nThe museum's ancient coin exhibit opens again next Thursday.\n\nQuestion: What is the lost vault combination?\nAnswer with only the exact answer from the document.", "raw_output": "The total number of books in the park is 179.\n\nThe total number of books in the park is 179.\n\nThe total", "needle_position": 12, "confuser_positions": [ 9, 27, 22 ], "confuser_hit": false, "gold_in_pred": false }, { "src": "long_context", "gold": "UM2PTED", "pred_tail": "e book is not specified in the text.\nThe book is written in a way.\n\n<think>\nThe book is written in a way that is easy to", "ok": false, "gen_tokens": 32, "raw_prompt": "Read the following document carefully.\n\nCaptain Nia's lucky charm is called 9Y2SU5K.\nElena's bakery sells four kinds of sourdough on weekends.\nOlive forgot her keys at the coworking space overnight.\nGreta carried her violin carefully down the wet steps.\nThe museum's ancient coin exhibit opens again next Thursday.\nClara found an old photograph tucked inside a paperback.\nWild rosemary grew along the stone wall behind the school.\nAn orchestra rehearsed the overture twice before the show.\nDmitri repainted the garden fence a soft sage green.\nBen made pancakes on Saturday morning using the old recipe.\nXavier walked the dog before the morning rain arrived.\nJakob cleaned his grandfather's camera for the first time.\nA crescent moon hung above the rooftops by midnight.\nRosa taught beginner yoga classes every Tuesday evening.\nThe train slowed as it entered the tunnel at Clearwater.\nWild sunflowers bloomed along the highway's median strip.\nThe secret access code for the archive is 9UWZ3HS.\nAn old lighthouse guards the northern cove from storms.\nYara repaired the broken porch swing with reclaimed oak.\nThe autumn leaves turned early this year in the valley.\nIngrid hiked the ridge trail before the weather changed.\nProfessor Aldric's rare ingredient is UM2PTED.\nUma volunteered at the animal shelter on alternate Saturdays.\nSam organised a neighbourhood book swap in the autumn.\nQuinn painted watercolor landscapes on Sunday afternoons.\nThe fog rolled in from the coast just after seven PM.\nA new cafe opened near the old train station last Tuesday.\nFelix mistakenly took the wrong umbrella from the lobby.\nThe winning lottery number from last week was MPMEFPY.\nPaul's startup released its first public beta this winter.\nMira arranged the bookshop's paperbacks by author's surname.\nA small pumpkin patch sits just beyond the picket fence.\nAnna opened the windows to let in the evening breeze.\nThe library's north wing closed for renovations last month.\nKira repaired the bicycle's flat tire in under ten minutes.\nWendy finished knitting the scarf just before the first frost.\nNoel studied French phrases each morning over breakfast tea.\nThe planetarium will replace its projector later this year.\nHector practiced card tricks at the coffee shop for hours.\nTomas grew tomatoes in clay pots on the sunny balcony.\nThe tram to the harbour departs every fifteen minutes.\nLeo reread his favorite childhood novel every winter.\nThe river trail remained icy well into early April.\nA family of deer wandered across the university lawn.\n\nQuestion: What is Professor Aldric's rare ingredient?\nAnswer with only the exact answer from the document.", "raw_output": "The book is not specified in the text.\nThe book is written in a way.\n\n<think>\nThe book is written in a way that is easy to", "needle_position": 21, "confuser_positions": [ 0, 28, 16 ], "confuser_hit": false, "gold_in_pred": false }, { "src": "long_context", "gold": "GX4RZQU", "pred_tail": " is not mentioned in the text.\n\nThe book is written in a simple, easy-to-read format.\n\nThe book is written in a way that", "ok": false, "gen_tokens": 32, "raw_prompt": "Read the following document carefully.\n\nA crescent moon hung above the rooftops by midnight.\nThe neighbours adopted a black-and-white kitten named Pepper.\nDmitri repainted the garden fence a soft sage green.\nMira arranged the bookshop's paperbacks by author's surname.\nQuinn painted watercolor landscapes on Sunday afternoons.\nThe autumn leaves turned early this year in the valley.\nThe river trail remained icy well into early April.\nJakob cleaned his grandfather's camera for the first time.\nThe winning lottery number from last week was P8KY92P.\nThe train slowed as it entered the tunnel at Clearwater.\nThe village holds a pumpkin festival every October weekend.\nRosa taught beginner yoga classes every Tuesday evening.\nProfessor Aldric's rare ingredient is 46RR8T2.\nA brass bell tolled three times from the town square.\nClara found an old photograph tucked inside a paperback.\nThe planetarium will replace its projector later this year.\nHector practiced card tricks at the coffee shop for hours.\nAn old lighthouse guards the northern cove from storms.\nThe bakery closes early on holidays and all Sundays.\nThe lost vault combination is 6SH8ACQ.\nTomas grew tomatoes in clay pots on the sunny balcony.\nFelix mistakenly took the wrong umbrella from the lobby.\nGreta carried her violin carefully down the wet steps.\nWild rosemary grew along the stone wall behind the school.\nThe treasure chest is buried at coordinates GX4RZQU.\nThe fog rolled in from the coast just after seven PM.\nThe museum's ancient coin exhibit opens again next Thursday.\nAnna opened the windows to let in the evening breeze.\nKira repaired the bicycle's flat tire in under ten minutes.\nThe tram to the harbour departs every fifteen minutes.\nBen made pancakes on Saturday morning using the old recipe.\nPaul's startup released its first public beta this winter.\nUma volunteered at the animal shelter on alternate Saturdays.\nFreshly baked bread cooled on the counter by the window.\nSnow fell steadily over the small village in the highlands.\nA peregrine falcon circled the cathedral tower before dusk.\nWild sunflowers bloomed along the highway's median strip.\nSam organised a neighbourhood book swap in the autumn.\nA family of deer wandered across the university lawn.\nLeo reread his favorite childhood novel every winter.\nWendy finished knitting the scarf just before the first frost.\nThe library's north wing closed for renovations last month.\nYara repaired the broken porch swing with reclaimed oak.\nTwo border collies herded sheep across the meadow at dawn.\n\nQuestion: Where is the treasure chest buried?\nAnswer with only the exact answer from the document.", "raw_output": "The book is not mentioned in the text.\n\nThe book is written in a simple, easy-to-read format.\n\nThe book is written in a way that", "needle_position": 24, "confuser_positions": [ 12, 19, 8 ], "confuser_hit": false, "gold_in_pred": false }, { "src": "long_context", "gold": "DSEBMP8", "pred_tail": "The next step in the story is to find the book.\nThe book is written in a way.\nThe book is written in a way that is easy", "ok": false, "gen_tokens": 32, "raw_prompt": "Read the following document carefully.\n\nA brass bell tolled three times from the town square.\nAn old lighthouse guards the northern cove from storms.\nThe bakery closes early on holidays and all Sundays.\nThe village holds a pumpkin festival every October weekend.\nThe museum's ancient coin exhibit opens again next Thursday.\nThe train slowed as it entered the tunnel at Clearwater.\nOlive forgot her keys at the coworking space overnight.\nThe autumn leaves turned early this year in the valley.\nThe treasure chest is buried at coordinates 3UAJ4XY.\nGreta carried her violin carefully down the wet steps.\nAnna opened the windows to let in the evening breeze.\nWild sunflowers bloomed along the highway's median strip.\nDmitri repainted the garden fence a soft sage green.\nLeo reread his favorite childhood novel every winter.\nThe secret access code for the archive is DSEBMP8.\nWild rosemary grew along the stone wall behind the school.\nMira arranged the bookshop's paperbacks by author's surname.\nViktor learned to bake bread from a video series online.\nA small pumpkin patch sits just beyond the picket fence.\nBen made pancakes on Saturday morning using the old recipe.\nThe national park extended its summer hours by two weeks.\nWendy finished knitting the scarf just before the first frost.\nIngrid hiked the ridge trail before the weather changed.\nElena's bakery sells four kinds of sourdough on weekends.\nFelix mistakenly took the wrong umbrella from the lobby.\nJakob cleaned his grandfather's camera for the first time.\nRosa taught beginner yoga classes every Tuesday evening.\nThe neighbours adopted a black-and-white kitten named Pepper.\nAn orchestra rehearsed the overture twice before the show.\nA family of deer wandered across the university lawn.\nThe library's north wing closed for renovations last month.\nSnow fell steadily over the small village in the highlands.\nThe fog rolled in from the coast just after seven PM.\nTwo border collies herded sheep across the meadow at dawn.\nThe river trail remained icy well into early April.\nFreshly baked bread cooled on the counter by the window.\nYara repaired the broken porch swing with reclaimed oak.\nThe keeper's favorite password is SXNE3YH.\nA peregrine falcon circled the cathedral tower before dusk.\nHector practiced card tricks at the coffee shop for hours.\nCaptain Nia's lucky charm is called PFQD3BV.\nA crescent moon hung above the rooftops by midnight.\nUma volunteered at the animal shelter on alternate Saturdays.\nPaul's startup released its first public beta this winter.\n\nQuestion: What is the secret access code for the archive?\nAnswer with only the exact answer from the document.", "raw_output": "The next step in the story is to find the book.\nThe book is written in a way.\nThe book is written in a way that is easy", "needle_position": 14, "confuser_positions": [ 37, 40, 8 ], "confuser_hit": false, "gold_in_pred": false }, { "src": "long_context", "gold": "Z6BHR2C", "pred_tail": "ark is a beautiful, beautiful, and beautiful green.\n\nQuestion: What was the name of the park where the park was located?", "ok": false, "gen_tokens": 32, "raw_prompt": "Read the following document carefully.\n\nA brass bell tolled three times from the town square.\nWild sunflowers bloomed along the highway's median strip.\nThe river trail remained icy well into early April.\nA peregrine falcon circled the cathedral tower before dusk.\nBen made pancakes on Saturday morning using the old recipe.\nWendy finished knitting the scarf just before the first frost.\nA family of deer wandered across the university lawn.\nThe village holds a pumpkin festival every October weekend.\nThe secret access code for the archive is VJBKD8T.\nQuinn painted watercolor landscapes on Sunday afternoons.\nJakob cleaned his grandfather's camera for the first time.\nThe autumn leaves turned early this year in the valley.\nCaptain Nia's lucky charm is called Z6BHR2C.\nThe neighbours adopted a black-and-white kitten named Pepper.\nKira repaired the bicycle's flat tire in under ten minutes.\nThe library's north wing closed for renovations last month.\nA small pumpkin patch sits just beyond the picket fence.\nGreta carried her violin carefully down the wet steps.\nThe bakery closes early on holidays and all Sundays.\nAnna opened the windows to let in the evening breeze.\nElena's bakery sells four kinds of sourdough on weekends.\nFreshly baked bread cooled on the counter by the window.\nThe treasure chest is buried at coordinates FK73CZU.\nAn orchestra rehearsed the overture twice before the show.\nClara found an old photograph tucked inside a paperback.\nA new cafe opened near the old train station last Tuesday.\nThe planetarium will replace its projector later this year.\nRosa taught beginner yoga classes every Tuesday evening.\nWild rosemary grew along the stone wall behind the school.\nThe winning lottery number from last week was 9S37VCR.\nThe fog rolled in from the coast just after seven PM.\nFelix mistakenly took the wrong umbrella from the lobby.\nSnow fell steadily over the small village in the highlands.\nAn old lighthouse guards the northern cove from storms.\nDmitri repainted the garden fence a soft sage green.\nMira arranged the bookshop's paperbacks by author's surname.\nHector practiced card tricks at the coffee shop for hours.\nA crescent moon hung above the rooftops by midnight.\nNoel studied French phrases each morning over breakfast tea.\nThe train slowed as it entered the tunnel at Clearwater.\nThe museum's ancient coin exhibit opens again next Thursday.\nIngrid hiked the ridge trail before the weather changed.\nTwo border collies herded sheep across the meadow at dawn.\nXavier walked the dog before the morning rain arrived.\n\nQuestion: What is Captain Nia's lucky charm called?\nAnswer with only the exact answer from the document.", "raw_output": "The new species of the park is a beautiful, beautiful, and beautiful green.\n\nQuestion: What was the name of the park where the park was located?", "needle_position": 12, "confuser_positions": [ 8, 22, 29 ], "confuser_hit": false, "gold_in_pred": false }, { "src": "long_context", "gold": "JDYQJMZ", "pred_tail": "per towels are now ready to be used.\n\nThe new paper towels are now ready to be used as a gift.\n\nThe new paper towels are", "ok": false, "gen_tokens": 32, "raw_prompt": "Read the following document carefully.\n\nTwo border collies herded sheep across the meadow at dawn.\nLeo reread his favorite childhood novel every winter.\nThe national park extended its summer hours by two weeks.\nThe village holds a pumpkin festival every October weekend.\nElena's bakery sells four kinds of sourdough on weekends.\nJakob cleaned his grandfather's camera for the first time.\nThe fog rolled in from the coast just after seven PM.\nQuinn painted watercolor landscapes on Sunday afternoons.\nPaul's startup released its first public beta this winter.\nA small pumpkin patch sits just beyond the picket fence.\nAn orchestra rehearsed the overture twice before the show.\nHector practiced card tricks at the coffee shop for hours.\nThe tram to the harbour departs every fifteen minutes.\nThe bakery closes early on holidays and all Sundays.\nYara repaired the broken porch swing with reclaimed oak.\nUma volunteered at the animal shelter on alternate Saturdays.\nMira arranged the bookshop's paperbacks by author's surname.\nA family of deer wandered across the university lawn.\nXavier walked the dog before the morning rain arrived.\nA peregrine falcon circled the cathedral tower before dusk.\nCaptain Nia's lucky charm is called RAKQ4J4.\nAnna opened the windows to let in the evening breeze.\nThe train slowed as it entered the tunnel at Clearwater.\nDmitri repainted the garden fence a soft sage green.\nSam organised a neighbourhood book swap in the autumn.\nViktor learned to bake bread from a video series online.\nBen made pancakes on Saturday morning using the old recipe.\nThe autumn leaves turned early this year in the valley.\nTomas grew tomatoes in clay pots on the sunny balcony.\nAn old lighthouse guards the northern cove from storms.\nWild rosemary grew along the stone wall behind the school.\nThe planetarium will replace its projector later this year.\nFelix mistakenly took the wrong umbrella from the lobby.\nThe secret access code for the archive is JDYQJMZ.\nThe river trail remained icy well into early April.\nWild sunflowers bloomed along the highway's median strip.\nKira repaired the bicycle's flat tire in under ten minutes.\nFreshly baked bread cooled on the counter by the window.\nProfessor Aldric's rare ingredient is BGUFBKC.\nThe library's north wing closed for renovations last month.\nA crescent moon hung above the rooftops by midnight.\nWendy finished knitting the scarf just before the first frost.\nA new cafe opened near the old train station last Tuesday.\nThe treasure chest is buried at coordinates V2TF8NR.\n\nQuestion: What is the secret access code for the archive?\nAnswer with only the exact answer from the document.", "raw_output": "The new paper towels are now ready to be used.\n\nThe new paper towels are now ready to be used as a gift.\n\nThe new paper towels are", "needle_position": 33, "confuser_positions": [ 43, 20, 38 ], "confuser_hit": false, "gold_in_pred": false } ], "error": null, "mean_gen_tokens": 32.0, "mean_gen_tokens_correct": 0.0 }, "procedural_bench": { "n": 0, "correct": 0, "pass_frac": 0.0, "wall_s": 0.0, "items": [], "error": null, "mean_gen_tokens": 0.0, "mean_gen_tokens_correct": 0.0 }, "robustness_bench": { "n": 16, "correct": 0, "pass_frac": 0.0, "wall_s": 42.2, "items": [ { "src": "procedural_math/geometric_series", "perturbation": "imperative_to_question", "pred": "6", "gold": "189", "ok": false, "gen_tokens": 160, "raw_prompt": "What is the sum of the first 6 terms of the geometric sequence with first term 3 and common ratio 2?\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nSolve step by step and end with '#### N' where N is the final numeric answer.", "raw_output": "The first step is to calculate 6 numbers.\nThe first step is to calculate 6 numbers.\nThe second step is to find the sum of the first 6 numbers.\nThe third step is to find the sum of the first two numbers.\nThe third step is to find the sum of the first two numbers.\nThe third step is to find the sum of the first two numbers.\nThe first step is to find the sum of the first two numbers.\nThe second step is to find the sum of the first two numbers.\nThe third step is the first step to find the sum of the first two numbers.\nThe third step is to find the sum of the first two numbers.\nThe first two numbers are the first two numbers.\nThe third step" }, { "src": "procedural_math/geometric_series", "perturbation": "context_prefix", "pred": "1", "gold": "189", "ok": false, "gen_tokens": 9, "raw_prompt": "I'm reviewing exam problems and ran into this one \u2014 please solve it.\n\nCompute the sum of the first 6 terms of the geometric sequence with first term 3 and common ratio 2.\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nSolve step by step and end with '#### N' where N is the final numeric answer.", "raw_output": "The answer is \\boxed{1}." }, { "src": "procedural_math/arithmetic_series", "perturbation": "imperative_to_question", "pred": "The second step is to find", "gold": "1122", "ok": false, "gen_tokens": 160, "raw_prompt": "What is the sum of the first 17 terms of the arithmetic sequence whose first term is 18 and whose common difference is 6?\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nSolve step by step and end with '#### N' where N is the final numeric answer.", "raw_output": "The first step is to find the sum of all the numbers in the given array.\nThe first step is to find the sum of all the numbers in the array.\nThe second step is to find the sum of all the numbers in the array.\nThe first step is to find the sum of all the numbers in the array.\nThe second step is to find the sum of all the numbers in the array.\nThe first step is to find the sum of all the numbers in the array.\nThe second step is to find the sum of all the numbers in the array.\nThe first step is to find the sum of all the numbers in the array.\nThe first step is to find the sum of all the numbers in the array.\nThe second step is to find" }, { "src": "procedural_math/arithmetic_series", "perturbation": "context_prefix", "pred": "18", "gold": "1122", "ok": false, "gen_tokens": 10, "raw_prompt": "I'm reviewing exam problems and ran into this one \u2014 please solve it.\n\nCompute the sum of the first 17 terms of the arithmetic sequence whose first term is 18 and whose common difference is 6.\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nSolve step by step and end with '#### N' where N is the final numeric answer.", "raw_output": "The answer is \\boxed{18}." }, { "src": "procedural_math/proportion", "perturbation": "imperative_to_question", "pred": "15", "gold": "345", "ok": false, "gen_tokens": 10, "raw_prompt": "If 6 units of resource A produce 25 widgets, and we have 83 units of resource A, how many widgets can be produced (rounded down to a whole number)?\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nSolve step by step and end with '#### N' where N is the final numeric answer.", "raw_output": "The answer is \\boxed{15}." }, { "src": "procedural_math/proportion", "perturbation": "context_prefix", "pred": "15", "gold": "345", "ok": false, "gen_tokens": 10, "raw_prompt": "I'm reviewing exam problems and ran into this one \u2014 please solve it.\n\nIf 6 units of resource A produce 25 widgets, and we have 83 units of resource A, how many widgets can be produced (rounded down to a whole number)?\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nSolve step by step and end with '#### N' where N is the final numeric answer.", "raw_output": "The answer is \\boxed{15}." }, { "src": "procedural_math/set_intersect", "perturbation": "imperative_to_question", "pred": "75", "gold": "117", "ok": false, "gen_tokens": 10, "raw_prompt": "In a class, 78 students study Spanish, 57 study French, and 18 study both. How many students study Spanish or French (or both)?\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nSolve step by step and end with '#### N' where N is the final numeric answer.", "raw_output": "The answer is \\boxed{75}." }, { "src": "procedural_math/set_intersect", "perturbation": "context_prefix", "pred": "7", "gold": "117", "ok": false, "gen_tokens": 9, "raw_prompt": "I'm reviewing exam problems and ran into this one \u2014 please solve it.\n\nIn a class, 78 students study Spanish, 57 study French, and 18 study both. How many students study Spanish or French (or both)?\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nSolve step by step and end with '#### N' where N is the final numeric answer.", "raw_output": "The answer is \\boxed{7}." }, { "src": "procedural_math/percentage", "perturbation": "imperative_to_question", "pred": "75", "gold": "121", "ok": false, "gen_tokens": 10, "raw_prompt": "A shop has 473 items in stock. They sell 10% of them on Monday, then receive 74 new items. How many items have left the shop, plus the new arrivals (i.e. 10% of 473 plus 74)?\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nSolve step by step and end with '#### N' where N is the final numeric answer.", "raw_output": "The answer is \\boxed{75}." }, { "src": "procedural_math/percentage", "perturbation": "context_prefix", "pred": "7", "gold": "121", "ok": false, "gen_tokens": 9, "raw_prompt": "I'm reviewing exam problems and ran into this one \u2014 please solve it.\n\nA shop has 473 items in stock. They sell 10% of them on Monday, then receive 74 new items. How many items have left the shop, plus the new arrivals (i.e. 10% of 473 plus 74)?\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nSolve step by step and end with '#### N' where N is the final numeric answer.", "raw_output": "The answer is \\boxed{7}." }, { "src": "procedural_math/probability_count", "perturbation": "imperative_to_question", "pred": "3", "gold": "77", "ok": false, "gen_tokens": 9, "raw_prompt": "A bag contains 14 red, 3 blue, and 1 green marbles. You draw one at random. What is the probability (in whole percent, rounded down) of drawing a red marble?\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nSolve step by step and end with '#### N' where N is the final numeric answer.", "raw_output": "The answer is \\boxed{3}." }, { "src": "procedural_math/probability_count", "perturbation": "context_prefix", "pred": "1", "gold": "77", "ok": false, "gen_tokens": 9, "raw_prompt": "I'm reviewing exam problems and ran into this one \u2014 please solve it.\n\nA bag contains 14 red, 3 blue, and 1 green marbles. You draw one at random. What is the probability (in whole percent, rounded down) of drawing a red marble?\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nSolve step by step and end with '#### N' where N is the final numeric answer.", "raw_output": "The answer is \\boxed{1}." }, { "src": "procedural_math/mixture", "perturbation": "imperative_to_question", "pred": "75", "gold": "6340", "ok": false, "gen_tokens": 10, "raw_prompt": "A chemist mixes 68 grams of solution A (at 15% solute) with 76 grams of solution B (at 70% solute). Compute the total mass of solute across both solutions in centigrams (1 centigram = 0.01 grams). Give the integer (equal to v1*p1 + v2*p2).\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nSolve step by step and end with '#### N' where N is the final numeric answer.", "raw_output": "The answer is \\boxed{75}." }, { "src": "procedural_math/mixture", "perturbation": "context_prefix", "pred": "75", "gold": "6340", "ok": false, "gen_tokens": 10, "raw_prompt": "I'm reviewing exam problems and ran into this one \u2014 please solve it.\n\nA chemist mixes 68 grams of solution A (at 15% solute) with 76 grams of solution B (at 70% solute). Compute the total mass of solute across both solutions in centigrams (1 centigram = 0.01 grams). Give the integer (equal to v1*p1 + v2*p2).\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nSolve step by step and end with '#### N' where N is the final numeric answer.", "raw_output": "The answer is \\boxed{75}." }, { "src": "procedural_math/modular_linear", "perturbation": "imperative_to_question", "pred": "5", "gold": "2", "ok": false, "gen_tokens": 9, "raw_prompt": "Compute ((4 * 11) + (5 * 35) + 36) mod 23.\nGive your final answer as the integer remainder.\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nSolve step by step and end with '#### N' where N is the final numeric answer.", "raw_output": "The answer is \\boxed{5}." }, { "src": "procedural_math/modular_linear", "perturbation": "context_prefix", "pred": "5", "gold": "2", "ok": false, "gen_tokens": 9, "raw_prompt": "I'm reviewing exam problems and ran into this one \u2014 please solve it.\n\nCompute ((4 * 11) + (5 * 35) + 36) mod 23.\nGive your final answer as the integer remainder.\n\nSolve step by step and end with '#### N' where N is the final integer answer.\n\nSolve step by step and end with '#### N' where N is the final numeric answer.", "raw_output": "The answer is \\boxed{5}." } ], "error": null, "mean_gen_tokens": 28.3, "mean_gen_tokens_correct": 0.0 }, "noise_resistance_bench": { "n": 0, "correct": 0, "pass_frac": 0.0, "wall_s": 0.0, "items": [], "error": null, "mean_gen_tokens": 0.0, "mean_gen_tokens_correct": 0.0 }, "bench_gate": { "run": true, "reason": "no_king_kl", "only_kl_candidates": true, "kl_candidate_slack": 0.0, "student_kl": 2.702816, "king_kl": null, "wall_s": 407.0 }, "on_policy_rkl": { "n_rollouts": 12, "tokens": 288, "mean_rkl": 2.241723, "mean_fkl": 1.347968, "mean_skl": 0.804127, "mean_sampled_gap": 1.264544, "mean_gen_len": 24.0, "skew_alpha": 0.1, "top_k": 128, "per_rollout": [ { "prompt": "Write a haiku about autumn.", "gen_len": 9, "tokens_scored": 9, "rkl": 2.448385, "fkl": 1.604148, "skl": 0.922044, "sampled_gap": 3.031851, "tail": "No, it's not the same." }, { "prompt": "Outline what a database index does, briefly.", "gen_len": 23, "tokens_scored": 23, "rkl": 2.554955, "fkl": 1.840167, "skl": 1.074216, "sampled_gap": 2.735649, "tail": "the function works as a sequence that takes a sequence of\nthe same number as its\nthe\n\n3." }, { "prompt": "Complete the sentence: The sky is blue because", "gen_len": 128, "tokens_scored": 128, "rkl": 2.379385, "fkl": 0.975038, "skl": 0.674934, "sampled_gap": 0.077151, "tail": "\nI\u2019m not sure how it looks\nI\u2019m here for this, but it\u2019s not as\nI\u2019m a blue\nI\u2019m not sure if it\u2019s\nI\u2019m a\nI\u2019m a\nI\u2019m a\nI\u2019m a\nI\u2019m a\nI\u2019m a\nI\u2019m a\nI\u2019m\nI\u2019m a\nI\u2019m a\nI\u2019m a\nI\u2019m\nI\u2019m a\nI\u2019m a\nI\u2019m a\nI\u2019m a\nI\u2019m\nI\u2019m a\nI\u2019ll" }, { "prompt": "What is the greenhouse effect? Answer in two sentences.", "gen_len": 3, "tokens_scored": 3, "rkl": 4.17356, "fkl": 2.638103, "skl": 1.335025, "sampled_gap": 7.498367, "tail": "0." }, { "prompt": "Summarize the plot of Romeo and Juliet in two sentences.", "gen_len": 32, "tokens_scored": 32, "rkl": 1.619394, "fkl": 1.323899, "skl": 0.783078, "sampled_gap": 1.656818, "tail": "You're right, so don't be afraid to take a break from the perspective of a friend or family member who's in the heart of the game." }, { "prompt": "Who wrote Hamlet?", "gen_len": 4, "tokens_scored": 4, "rkl": 4.111847, "fkl": 2.522785, "skl": 1.517882, "sampled_gap": 4.152469, "tail": "Rapidly" }, { "prompt": "If the population doubles every 10 years and is 1 million today, what is it in 30 years? Reason concisely.", "gen_len": 6, "tokens_scored": 6, "rkl": 3.039932, "fkl": 2.976886, "skl": 1.349874, "sampled_gap": 3.9935, "tail": "100 years ago" }, { "prompt": "Write a two-line rhyming couplet about the ocean.", "gen_len": 17, "tokens_scored": 17, "rkl": 2.495565, "fkl": 1.927467, "skl": 1.003917, "sampled_gap": 2.220984, "tail": "The ocean is full of life, and every living is a life of life." }, { "prompt": "Translate to Italian: Where is the nearest train station?", "gen_len": 16, "tokens_scored": 16, "rkl": 1.841079, "fkl": 1.322888, "skl": 0.767925, "sampled_gap": 1.910184, "tail": "In the United States, the first place is located in the United States." }, { "prompt": "Enumerate five elements of the periodic table with atomic number \u2264 10.", "gen_len": 2, "tokens_scored": 2, "rkl": 5.83138, "fkl": 3.916133, "skl": 1.998031, "sampled_gap": 9.466789, "tail": "6" }, { "prompt": "What is the capital of Japan?", "gen_len": 46, "tokens_scored": 46, "rkl": 1.355724, "fkl": 1.200649, "skl": 0.679365, "sampled_gap": 0.797783, "tail": "100% of the world's population,\n10% of the world's population,\n10% of the world's population is\nthe world's largest population,\nand the world's largest population." }, { "prompt": "Output a JSON object with keys 'name' and 'age' describing a fictional person. Just the JSON.", "gen_len": 2, "tokens_scored": 2, "rkl": 7.659654, "fkl": 5.711019, "skl": 2.178501, "sampled_gap": 12.03562, "tail": "no" } ], "scoring_time": 11.0 }, "judge_probe": { "n": 16, "n_valid": 16, "mean_score": 1.625, "normalized": 0.1562, "per_prompt": [ { "prompt": "Why do we typically indent code? One sentence.", "response_preview": "I hope this article helps you understand the importance of understanding the importance of understanding the importance ", "raw": "1", "score": 1 }, { "prompt": "What's the difference between correlation and causation? Provide one example in 2 sentences.", "response_preview": "A. 201", "raw": "1", "score": 1 }, { "prompt": "You have a 3-liter jug and a 5-liter jug and a water source. Outline briefly how to measure exactly 4 liters.", "response_preview": "To find the 500 ml, you need to find the total volume of the 500 ml.\n\nTo find the volume of the 500 ml, you need to find", "raw": "1", "score": 1 }, { "prompt": "In fewer than 30 words, outline what a transformer is in machine learning.", "response_preview": "A transformer is a machine learning algorithm that uses a machine learning algorithm to analyze large amounts of data an", "raw": "3", "score": 3 }, { "prompt": "What does 'rubber-ducking' mean in a programming context? One short sentence.", "response_preview": "A)", "raw": "1", "score": 1 }, { "prompt": "In one short paragraph, describe why you would or wouldn't recommend ice baths for sore muscles after exercise.", "response_preview": "In the context of the text, the text mentions that a person who has a specific body or body can use to help them achieve", "raw": "3", "score": 3 }, { "prompt": "What is a binary search and when would you use it? One short paragraph.", "response_preview": "A.", "raw": "1", "score": 1 }, { "prompt": "If someone says 'that's sick!', what are the two most likely meanings depending on context? Two sentences.", "response_preview": "If you're looking for a way to improve your writing skills, you might want to consider a few key factors:\n- A good examp", "raw": "1", "score": 1 }, { "prompt": "What's a sensible response when you notice a bug in a colleague's code? One sentence.", "response_preview": "\"Can you tell us about the difference between a code and a code?", "raw": "1", "score": 1 }, { "prompt": "Produce a one-line encouraging message for someone about to take their first job interview.", "response_preview": "I hope this article helps you understand the importance of a good job.", "raw": "3", "score": 3 }, { "prompt": "Offer me a response that is exactly one sentence ending in 'fin.'", "response_preview": "I hope this message finds you well and happy.", "raw": "3", "score": 3 }, { "prompt": "Write one tweet (<280 chars) introducing a fictional coffee-subscription service called 'BeanBox'.", "response_preview": "A coffee shop is a coffee shop with a coffee shop, a coffee shop, a coffee shop, a coffee shop, a coffee shop, a coffee ", "raw": "1", "score": 1 }, { "prompt": "In one paragraph, describe why the seasons exist.", "response_preview": "A. 19 - 19 - 19 = 1995", "raw": "1", "score": 1 }, { "prompt": "Sort [3, 1, 4, 1, 5, 9, 2, 6, 5] ascending and return the sorted enumerate.", "response_preview": "[5, 6, 9, 7, 9]", "raw": "3", "score": 3 }, { "prompt": "A cyclist bikes 15 km at 20 km/h, then 10 km at 25 km/h. What is the average speed over the full trip? Illustrate the calculation.", "response_preview": "A 15 km/hr at 20 km/hr, the average speed of 15 km/h is 15 km/h.\nThe average speed of 15 km/hr is 15 km/hr.\nThe average ", "raw": "1", "score": 1 }, { "prompt": "Write the opening two sentences of a short story set on a lighthouse during a storm.", "response_preview": "The story is a story of a young woman named Sarah, who lives in a small town called \"The Great\" and is a story that take", "raw": "1", "score": 1 } ], "scoring_time": 26.3, "in_composite": true, "version": 1 }, "chat_turns_probe": { "n": 6, "n_valid": 6, "n_turns": 3, "mean_score": 1.0, "normalized": 0.0, "per_convo": [ { "seed": "I'm nervous about my first job interview next week. Any tips?", "raw": "1", "score": 1 }, { "seed": "I'm trying to eat less sugar. Any realistic tips?", "raw": "1", "score": 1 }, { "seed": "Suggest a weekend road trip from Chicago under 4 hours drive.", "raw": "1", "score": 1 }, { "seed": "I want to switch careers into data science. Where do I start?", "raw": "1", "score": 1 }, { "seed": "Outline Dijkstra's shortest path algorithm at a high level.", "raw": "1", "score": 1 }, { "seed": "What is a good beginner-friendly introduction to quantum computing?", "raw": "1", "score": 1 } ], "scoring_time": 10.8, "in_composite": true, "version": 1 } }, "Qwen/Qwen3.5-4B": { "status": "teacher_sanity", "capability": { "n": 36, "correct": 32, "pass_frac": 0.889, "teacher_pass_frac": 0.889, "items": [], "source": "teacher_sanity_probe" } } }, "timings": { "vllm_startup": 76.6, "vllm_generation": 6.7, "teacher_probe_refs": 10.6, "teacher_logits_pass": 0.0, "teacher_hf_load": 0.0, "on_policy_rkl": 11.0, "judge_probe": 26.3, "chat_turns_probe": 10.8, "phase_b_total": 50.8 } }